id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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1,802.0056 | Interpretable Deep Convolutional Neural Networks via Meta-learning | Model interpretability is a requirement in many applications in which crucial
decisions are made by users relying on a model's outputs. The recent movement
for "algorithmic fairness" also stipulates explainability, and therefore
interpretability of learning models. And yet the most successful contemporary
Machine Learning approaches, the Deep Neural Networks, produce models that are
highly non-interpretable. We attempt to address this challenge by proposing a
technique called CNN-INTE to interpret deep Convolutional Neural Networks (CNN)
via meta-learning. In this work, we interpret a specific hidden layer of the
deep CNN model on the MNIST image dataset. We use a clustering algorithm in a
two-level structure to find the meta-level training data and Random Forest as
base learning algorithms to generate the meta-level test data. The
interpretation results are displayed visually via diagrams, which clearly
indicates how a specific test instance is classified. Our method achieves
global interpretation for all the test instances without sacrificing the
accuracy obtained by the original deep CNN model. This means our model is
faithful to the deep CNN model, which leads to reliable interpretations.
| cs.LG cs.AI stat.ML | model interpretability is a requirement in many applications in which crucial decisions are made by users relying on a models outputs the recent movement for algorithmic fairness also stipulates explainability and therefore interpretability of learning models and yet the most successful contemporary machine learning approaches the deep neural networks produce models that are highly noninterpretable we attempt to address this challenge by proposing a technique called cnninte to interpret deep convolutional neural networks cnn via metalearning in this work we interpret a specific hidden layer of the deep cnn model on the mnist image dataset we use a clustering algorithm in a twolevel structure to find the metalevel training data and random forest as base learning algorithms to generate the metalevel test data the interpretation results are displayed visually via diagrams which clearly indicates how a specific test instance is classified our method achieves global interpretation for all the test instances without sacrificing the accuracy obtained by the original deep cnn model this means our model is faithful to the deep cnn model which leads to reliable interpretations | [['model', 'interpretability', 'is', 'a', 'requirement', 'in', 'many', 'applications', 'in', 'which', 'crucial', 'decisions', 'are', 'made', 'by', 'users', 'relying', 'on', 'a', 'models', 'outputs', 'the', 'recent', 'movement', 'for', 'algorithmic', 'fairness', 'also', 'stipulates', 'explainability', 'and', 'therefore', 'interpretability', 'of', 'learning', 'models', 'and', 'yet', 'the', 'most', 'successful', 'contemporary', 'machine', 'learning', 'approaches', 'the', 'deep', 'neural', 'networks', 'produce', 'models', 'that', 'are', 'highly', 'noninterpretable', 'we', 'attempt', 'to', 'address', 'this', 'challenge', 'by', 'proposing', 'a', 'technique', 'called', 'cnninte', 'to', 'interpret', 'deep', 'convolutional', 'neural', 'networks', 'cnn', 'via', 'metalearning', 'in', 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1,802.00561 | Block4Forensic: An Integrated Lightweight Blockchain Framework for
Forensics Applications of Connected Vehicles | Today's vehicles are becoming cyber-physical systems that do not only
communicate with other vehicles but also gather various information from
hundreds of sensors within them. These developments help create smart and
connected (e.g., self-driving) vehicles that will introduce significant
information to drivers, manufacturers, insurance companies and maintenance
service providers for various applications. One such application that is
becoming crucial with the introduction of self-driving cars is the forensic
analysis for traffic accidents. The utilization of vehicle-related data can be
instrumental in post-accident scenarios to find out the faulty party,
particularly for self-driving vehicles. With the opportunity of being able to
access various information on the cars, we propose a permissioned blockchain
framework among the various elements involved to manage the collected
vehicle-related data. Specifically, we first integrate Vehicular Public Key
Management (VPKI) to the proposed blockchain to provide membership
establishment and privacy. Next, we design a fragmented ledger that will store
detailed data related to vehicle such as maintenance information/history, car
diagnosis reports, etc. The proposed forensic framework enables trustless,
traceable and privacy-aware post-accident analysis with minimal storage and
processing overhead.
| cs.CR | todays vehicles are becoming cyberphysical systems that do not only communicate with other vehicles but also gather various information from hundreds of sensors within them these developments help create smart and connected eg selfdriving vehicles that will introduce significant information to drivers manufacturers insurance companies and maintenance service providers for various applications one such application that is becoming crucial with the introduction of selfdriving cars is the forensic analysis for traffic accidents the utilization of vehiclerelated data can be instrumental in postaccident scenarios to find out the faulty party particularly for selfdriving vehicles with the opportunity of being able to access various information on the cars we propose a permissioned blockchain framework among the various elements involved to manage the collected vehiclerelated data specifically we first integrate vehicular public key management vpki to the proposed blockchain to provide membership establishment and privacy next we design a fragmented ledger that will store detailed data related to vehicle such as maintenance informationhistory car diagnosis reports etc the proposed forensic framework enables trustless traceable and privacyaware postaccident analysis with minimal storage and processing overhead | [['todays', 'vehicles', 'are', 'becoming', 'cyberphysical', 'systems', 'that', 'do', 'not', 'only', 'communicate', 'with', 'other', 'vehicles', 'but', 'also', 'gather', 'various', 'information', 'from', 'hundreds', 'of', 'sensors', 'within', 'them', 'these', 'developments', 'help', 'create', 'smart', 'and', 'connected', 'eg', 'selfdriving', 'vehicles', 'that', 'will', 'introduce', 'significant', 'information', 'to', 'drivers', 'manufacturers', 'insurance', 'companies', 'and', 'maintenance', 'service', 'providers', 'for', 'various', 'applications', 'one', 'such', 'application', 'that', 'is', 'becoming', 'crucial', 'with', 'the', 'introduction', 'of', 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1,802.00562 | Optimal interpolation formulas in $W_2^{(m,m-1)}$ space | In the present paper optimal interpolation formulas are constructed in
$W_2^{(m,m-1)}(0,1)$ space. Explicit formulas for coefficients of optimal
interpolation formulas are obtained. Some numerical results are presented.
| math.NA | in the present paper optimal interpolation formulas are constructed in w_2mm101 space explicit formulas for coefficients of optimal interpolation formulas are obtained some numerical results are presented | [['in', 'the', 'present', 'paper', 'optimal', 'interpolation', 'formulas', 'are', 'constructed', 'in', 'w_2mm101', 'space', 'explicit', 'formulas', 'for', 'coefficients', 'of', 'optimal', 'interpolation', 'formulas', 'are', 'obtained', 'some', 'numerical', 'results', 'are', 'presented']] | [-0.13209181844636245, 0.022243687727799017, -0.04707615377588405, 0.14971781108114454, -0.10760251363670384, -0.1319402872964188, 0.02212979333664946, 0.4337575755737446, -0.19729321629360871, -0.2302699193910316, 0.1923748814518115, -0.24463659143765215, -0.21441975415304856, 0.3517954170151993, -0.08248711447285367, 0.16340763987628398, 0.06781642197596806, -0.04569896186391512, -0.17973476330991145, -0.26993989903065896, 0.28213462530186884, -0.0006872797039923844, 0.1899278990717398, 0.017078044651835052, 0.111401768470252, -0.05043975029278685, -0.1549605306720844, -0.04342164387344383, -0.2893744318021668, 0.195008737621484, 0.38451740118088545, 0.08545198153566431, 0.1762519689897696, -0.43587853345606065, -0.09090993836246154, 0.059318148255072256, 0.17089927667337987, 0.12199732095555023, -0.0932804952479071, -0.19511345277229944, 0.09780637612911286, -0.10862054720658947, -0.15537879264189136, -0.20519122164006587, -0.00010208944203677001, 0.14553213888710295, -0.35638346730007064, 0.06082661167063095, 0.0291832403184984, 0.09199308134029033, -0.16082459482950745, -0.23753241615162957, 0.06790551232794921, 0.11016576159400521, -0.0028684132008088958, -0.07690980262985384, -0.0034305324295052777, -0.023612796035767707, -0.14666119724926022, 0.2962213162746694, 0.0006001465953886509, -0.3292176535146104, 0.020849146811222588, -0.126327036983437, -0.13001607794797532, 0.13106784700519508, 0.1130092744887979, 0.17439745069390888, -0.13743197593700002, 0.14800169606934543, -0.10381773336687022, 0.017364477807724918, 0.1515602268520053, 0.03973756765049917, 0.0008686337344072483, -0.028596633010440402, 0.01746264786493999, 0.2009938977469035, 0.05166207833422555, -0.14901931380370148, -0.42150557151547186, -0.12353131554468914, -0.18800729996076337, -0.09706681130315971, -0.18438909542574375, -0.11893133967424985, 0.28393954699169155, 0.1274422687926778, 0.17918025357303796, 0.17053258729477724, 0.27476690737185655, 0.2354366691024215, -0.06351721997338312, 0.06570886444576361, 0.18571883721678104, 0.11504767096980854, 0.0614879817046501, -0.11331401772460797, 0.07174409906966267, 0.26598999787259986] |
1,802.00563 | A Solar cycle correlation of coronal element abundances in Sun-as-a-star
observations | The elemental composition in the coronae of low-activity solar-like stars
appears to be related to fundamental stellar properties such as rotation,
surface gravity, and spectral type. Here we use full-Sun observations from the
Solar Dynamics Observatory, to show that when the Sun is observed as a star,
the variation of coronal composition is highly correlated with a proxy for
solar activity, the F10.7 cm radio flux, and therefore with the solar cycle
phase. Similar cyclic variations should therefore be detectable
spectroscopically in X-ray observations of solar analogs. The plasma
composition in full-disk observations of the Sun is related to the evolution of
coronal magnetic field activity. Our observations therefore introduce an
uncertainty into the nature of any relationship between coronal composition and
fixed stellar properties. The results highlight the importance of systematic
full-cycle observations for understanding the elemental composition of
solar-like stellar coronae.
| astro-ph.SR | the elemental composition in the coronae of lowactivity solarlike stars appears to be related to fundamental stellar properties such as rotation surface gravity and spectral type here we use fullsun observations from the solar dynamics observatory to show that when the sun is observed as a star the variation of coronal composition is highly correlated with a proxy for solar activity the f107 cm radio flux and therefore with the solar cycle phase similar cyclic variations should therefore be detectable spectroscopically in xray observations of solar analogs the plasma composition in fulldisk observations of the sun is related to the evolution of coronal magnetic field activity our observations therefore introduce an uncertainty into the nature of any relationship between coronal composition and fixed stellar properties the results highlight the importance of systematic fullcycle observations for understanding the elemental composition of solarlike stellar coronae | [['the', 'elemental', 'composition', 'in', 'the', 'coronae', 'of', 'lowactivity', 'solarlike', 'stars', 'appears', 'to', 'be', 'related', 'to', 'fundamental', 'stellar', 'properties', 'such', 'as', 'rotation', 'surface', 'gravity', 'and', 'spectral', 'type', 'here', 'we', 'use', 'fullsun', 'observations', 'from', 'the', 'solar', 'dynamics', 'observatory', 'to', 'show', 'that', 'when', 'the', 'sun', 'is', 'observed', 'as', 'a', 'star', 'the', 'variation', 'of', 'coronal', 'composition', 'is', 'highly', 'correlated', 'with', 'a', 'proxy', 'for', 'solar', 'activity', 'the', 'f107', 'cm', 'radio', 'flux', 'and', 'therefore', 'with', 'the', 'solar', 'cycle', 'phase', 'similar', 'cyclic', 'variations', 'should', 'therefore', 'be', 'detectable', 'spectroscopically', 'in', 'xray', 'observations', 'of', 'solar', 'analogs', 'the', 'plasma', 'composition', 'in', 'fulldisk', 'observations', 'of', 'the', 'sun', 'is', 'related', 'to', 'the', 'evolution', 'of', 'coronal', 'magnetic', 'field', 'activity', 'our', 'observations', 'therefore', 'introduce', 'an', 'uncertainty', 'into', 'the', 'nature', 'of', 'any', 'relationship', 'between', 'coronal', 'composition', 'and', 'fixed', 'stellar', 'properties', 'the', 'results', 'highlight', 'the', 'importance', 'of', 'systematic', 'fullcycle', 'observations', 'for', 'understanding', 'the', 'elemental', 'composition', 'of', 'solarlike', 'stellar', 'coronae']] | [-0.058285169578580695, 0.22332414904525064, -0.026453731064823086, 0.11801088263583533, -0.10586118215688511, 0.005186657439200924, 0.026191707763990216, 0.4035030805303917, -0.2163134828874177, -0.39007622377386875, 0.07882001406718306, -0.25283814671976895, -0.13089397114577828, 0.2279771652945376, -0.07898072173519359, -0.029846991594698464, 0.08799424334722278, -0.03168457434545238, -0.0669425609375031, -0.1814677196138024, 0.2686277584293271, 0.12048708119305905, 0.1418111159570411, -0.03730696443162233, 0.013089482421771837, -0.1367509017822209, -0.06524535794123694, 0.0030929935848587877, -0.1046818592135328, 0.06873446394822892, 0.2319315460972957, 0.16116375763496787, 0.15619745195218057, -0.4085622319261302, -0.2839554480986891, 0.005574542234514977, 0.13023145673747688, -0.05021166099867152, -0.06156403803220996, -0.2093394101976736, 0.054490094517611644, -0.11112694082117372, -0.15348091428949648, 0.05485716218263533, 0.05141540390188591, 0.04504950281388901, -0.25714414739343044, 0.056667071606775005, 0.03287400697989689, 0.16167620491314602, -0.18297829058092946, -0.050039190623153755, -0.08294957211091333, 0.1680721603620918, 0.0750298714305932, 0.03016297697330584, 0.16028610005701235, -0.10522609607192811, -0.03724913465809989, 0.41941513371217504, -0.10116294419418995, -0.02012701327358926, 0.20813034678698628, -0.25214537934536907, -0.2170813953458377, 0.10427242375981922, 0.13878802338393625, 0.11211825565148431, -0.1610980305900688, -0.00547384414243857, -0.04157466902495264, 0.21031302405143534, 0.02763828016504958, 0.06927076385884018, 0.3522254435111072, 0.12899353080250037, 0.05523733928851731, 0.06978678258161966, -0.23792172922147112, -0.017788191570394015, -0.21489662232880408, -0.14655369118025358, -0.09360215512846785, 0.10144451311366125, -0.12189323312110004, -0.19409908221422376, 0.41469059309147144, 0.14495920356024394, 0.1886140151613659, -0.024608566131038994, 0.2799612214207532, 0.09691749598710453, 0.0698869005236384, 0.09030465304630099, 0.30140721726302916, 0.27230561182710467, 0.14759150285019793, -0.3034963755138948, 0.08962009558649538, 0.06100843841099291] |
1,802.00564 | Comparison of permutationally invariant polynomials, neural networks,
and Gaussian approximation potentials in representing water interactions
through many-body expansions | The accurate representation of multidimensional potential energy surfaces is
a necessary requirement for realistic computer simulations of molecular
systems. The continued increase in computer power accompanied by advances in
correlated electronic structure methods nowadays enable routine calculations of
accurate interaction energies for small systems, which can then be used as
references for the development of analytical potential energy functions (PEFs)
rigorously derived from many-body expansions. Building on the accuracy of the
MB-pol many-body PEF, we investigate here the performance of permutationally
invariant polynomials, neural networks, and Gaussian approximation potentials
in representing water two-body and three-body interaction energies, denoting
the resulting potentials PIP-MB-pol, BPNN-MB-pol, and GAP-MB-pol, respectively.
Our analysis shows that all three analytical representations exhibit similar
levels of accuracy in reproducing both two-body and three-body reference data
as well as interaction energies of small water clusters obtained from
calculations carried out at the coupled cluster level of theory, the current
gold standard for chemical accuracy. These results demonstrate the synergy
between interatomic potentials formulated in terms of a many-body expansion,
such as MB-pol, that are physically sound and transferable, and
machine-learning techniques that provide a flexible framework to approximate
the short-range interaction energy terms.
| physics.chem-ph | the accurate representation of multidimensional potential energy surfaces is a necessary requirement for realistic computer simulations of molecular systems the continued increase in computer power accompanied by advances in correlated electronic structure methods nowadays enable routine calculations of accurate interaction energies for small systems which can then be used as references for the development of analytical potential energy functions pefs rigorously derived from manybody expansions building on the accuracy of the mbpol manybody pef we investigate here the performance of permutationally invariant polynomials neural networks and gaussian approximation potentials in representing water twobody and threebody interaction energies denoting the resulting potentials pipmbpol bpnnmbpol and gapmbpol respectively our analysis shows that all three analytical representations exhibit similar levels of accuracy in reproducing both twobody and threebody reference data as well as interaction energies of small water clusters obtained from calculations carried out at the coupled cluster level of theory the current gold standard for chemical accuracy these results demonstrate the synergy between interatomic potentials formulated in terms of a manybody expansion such as mbpol that are physically sound and transferable and machinelearning techniques that provide a flexible framework to approximate the shortrange interaction energy terms | [['the', 'accurate', 'representation', 'of', 'multidimensional', 'potential', 'energy', 'surfaces', 'is', 'a', 'necessary', 'requirement', 'for', 'realistic', 'computer', 'simulations', 'of', 'molecular', 'systems', 'the', 'continued', 'increase', 'in', 'computer', 'power', 'accompanied', 'by', 'advances', 'in', 'correlated', 'electronic', 'structure', 'methods', 'nowadays', 'enable', 'routine', 'calculations', 'of', 'accurate', 'interaction', 'energies', 'for', 'small', 'systems', 'which', 'can', 'then', 'be', 'used', 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1,802.00565 | Detecting Zones and Threat on 3D Body for Security in Airports using
Deep Machine Learning | In this research, it was used a segmentation and classification method to
identify threat recognition in human scanner images of airport security. The
Department of Homeland Security's (DHS) in USA has a higher false alarm,
produced from theirs algorithms using today's scanners at the airports. To
repair this problem they started a new competition at Kaggle site asking the
science community to improve their detection with new algorithms. The dataset
used in this research comes from DHS at
https://www.kaggle.com/c/passenger-screening-algorithm-challenge/data According
to DHS: "This dataset contains a large number of body scans acquired by a new
generation of millimeter wave scanner called the High Definition-Advanced
Imaging Technology (HD-AIT) system. They are comprised of volunteers wearing
different clothing types (from light summer clothes to heavy winter clothes),
different body mass indices, different genders, different numbers of threats,
and different types of threats". Using Python as a principal language, the
preprocessed of the dataset images extracted features from 200 bodies using:
intensity, intensity differences and local neighbourhood to detect, to produce
segmentation regions and label those regions to be used as a truth in a
training and test dataset. The regions are subsequently give to a CNN deep
learning classifier to predict 17 classes (that represents the body zones):
zone1, zone2, ... zone17 and zones with threat in a total of 34 zones. The
analysis showed the results of the classifier an accuracy of 98.2863% and a
loss of 0.091319, as well as an average of 100% for recall and precision.
| cs.CV | in this research it was used a segmentation and classification method to identify threat recognition in human scanner images of airport security the department of homeland securitys dhs in usa has a higher false alarm produced from theirs algorithms using todays scanners at the airports to repair this problem they started a new competition at kaggle site asking the science community to improve their detection with new algorithms the dataset used in this research comes from dhs at httpswwwkagglecomcpassengerscreeningalgorithmchallengedata according to dhs this dataset contains a large number of body scans acquired by a new generation of millimeter wave scanner called the high definitionadvanced imaging technology hdait system they are comprised of volunteers wearing different clothing types from light summer clothes to heavy winter clothes different body mass indices different genders different numbers of threats and different types of threats using python as a principal language the preprocessed of the dataset images extracted features from 200 bodies using intensity intensity differences and local neighbourhood to detect to produce segmentation regions and label those regions to be used as a truth in a training and test dataset the regions are subsequently give to a cnn deep learning classifier to predict 17 classes that represents the body zones zone1 zone2 zone17 and zones with threat in a total of 34 zones the analysis showed the results of the classifier an accuracy of 982863 and a loss of 0091319 as well as an average of 100 for recall and precision | [['in', 'this', 'research', 'it', 'was', 'used', 'a', 'segmentation', 'and', 'classification', 'method', 'to', 'identify', 'threat', 'recognition', 'in', 'human', 'scanner', 'images', 'of', 'airport', 'security', 'the', 'department', 'of', 'homeland', 'securitys', 'dhs', 'in', 'usa', 'has', 'a', 'higher', 'false', 'alarm', 'produced', 'from', 'theirs', 'algorithms', 'using', 'todays', 'scanners', 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1,802.00566 | Orbital Alignment of Main-Belt Comets | We examine the orbital element distribution of main-belt comets (MBCs), which
are objects that exhibit cometary activity yet orbit in the main asteroid belt,
and may be potentially useful as tracers of ice in the inner solar system. We
find that the currently known and currently active MBCs have remarkably similar
longitudes of perihelion, which are also aligned with that of Jupiter. The
clustered objects have significantly higher current osculating eccentricities
relative to their proper eccentricities, consistent with their orbits being
currently, though only temporarily, secularly excited in osculating
eccentricity due to Jupiter's influence. At the moment, most MBCs seem to have
current osculating elements that may be particularly favorable for the object
becoming active (e.g., maybe because of higher perihelion temperatures or
higher impact velocities causing an effective increase in the size of the
potential triggering impactor population). At other times, other icy asteroids
will have those favorable conditions and might become MBCs at those times as
well.
| astro-ph.EP | we examine the orbital element distribution of mainbelt comets mbcs which are objects that exhibit cometary activity yet orbit in the main asteroid belt and may be potentially useful as tracers of ice in the inner solar system we find that the currently known and currently active mbcs have remarkably similar longitudes of perihelion which are also aligned with that of jupiter the clustered objects have significantly higher current osculating eccentricities relative to their proper eccentricities consistent with their orbits being currently though only temporarily secularly excited in osculating eccentricity due to jupiters influence at the moment most mbcs seem to have current osculating elements that may be particularly favorable for the object becoming active eg maybe because of higher perihelion temperatures or higher impact velocities causing an effective increase in the size of the potential triggering impactor population at other times other icy asteroids will have those favorable conditions and might become mbcs at those times as well | [['we', 'examine', 'the', 'orbital', 'element', 'distribution', 'of', 'mainbelt', 'comets', 'mbcs', 'which', 'are', 'objects', 'that', 'exhibit', 'cometary', 'activity', 'yet', 'orbit', 'in', 'the', 'main', 'asteroid', 'belt', 'and', 'may', 'be', 'potentially', 'useful', 'as', 'tracers', 'of', 'ice', 'in', 'the', 'inner', 'solar', 'system', 'we', 'find', 'that', 'the', 'currently', 'known', 'and', 'currently', 'active', 'mbcs', 'have', 'remarkably', 'similar', 'longitudes', 'of', 'perihelion', 'which', 'are', 'also', 'aligned', 'with', 'that', 'of', 'jupiter', 'the', 'clustered', 'objects', 'have', 'significantly', 'higher', 'current', 'osculating', 'eccentricities', 'relative', 'to', 'their', 'proper', 'eccentricities', 'consistent', 'with', 'their', 'orbits', 'being', 'currently', 'though', 'only', 'temporarily', 'secularly', 'excited', 'in', 'osculating', 'eccentricity', 'due', 'to', 'jupiters', 'influence', 'at', 'the', 'moment', 'most', 'mbcs', 'seem', 'to', 'have', 'current', 'osculating', 'elements', 'that', 'may', 'be', 'particularly', 'favorable', 'for', 'the', 'object', 'becoming', 'active', 'eg', 'maybe', 'because', 'of', 'higher', 'perihelion', 'temperatures', 'or', 'higher', 'impact', 'velocities', 'causing', 'an', 'effective', 'increase', 'in', 'the', 'size', 'of', 'the', 'potential', 'triggering', 'impactor', 'population', 'at', 'other', 'times', 'other', 'icy', 'asteroids', 'will', 'have', 'those', 'favorable', 'conditions', 'and', 'might', 'become', 'mbcs', 'at', 'those', 'times', 'as', 'well']] | [-0.10539469632185386, 0.2285521478589321, -0.0741298811172674, 0.08930170643304433, -0.05964716529889536, -0.07027650482765159, -0.009663771660398083, 0.39372780848786515, -0.18342065549405795, -0.33894889611375967, 0.12581179678328805, -0.28248069868218034, -0.0845152507492183, 0.20785695776114907, -0.15416860068509788, 0.00020282911268537337, 0.1257833822772387, 0.02825091791276252, 0.009043079193933346, -0.2648761364449776, 0.2517337578117449, 0.10755541482676734, 0.066910492244569, -0.03880025260443301, 0.025209960152846086, -0.10869093091262258, 0.030454720478466823, -0.03162478241167447, -0.11376831145263745, 0.09368663795479813, 0.2611796405728696, 0.0733562812821225, 0.17805795992707024, -0.42176196392649, -0.19144214463344067, 0.09448191292258858, 0.1746595920485103, 0.09920338077218793, -0.038573492975149934, -0.2529915072589105, 0.09388801003015547, -0.2324006532395036, -0.2360725932558354, -0.01181085476265201, 0.1593892427817362, 0.04592489954904191, -0.1955448440517703, 0.07964268748234056, 0.08889492522470643, 0.12321700589620045, -0.12266730855265925, -0.2471018300337553, -0.11695160663616404, 0.11111633028138031, 0.13142505562688522, 0.007543347225342906, 0.21648501084074848, -0.06341794111806923, -0.04289953983916005, 0.44927431869396717, -0.01741887747058235, -0.07288689865092249, 0.29577465620735344, -0.2670758342617133, -0.13885982941437816, 0.19311631246581204, 0.19979344189984127, 0.1481134085725618, -0.13628679004632546, -0.043386473081370454, 0.0015413300046380962, 0.11838519162682921, 0.11282804171238446, 0.11562194319371626, 0.37163058402157334, 0.09176207650394279, 0.1136783210021801, 0.04053348332860232, -0.17120183512873058, -0.11551390439506222, -0.13227820439182175, -0.10014034839311861, -0.1319506943266862, 0.0053708996453890635, -0.1014447356044328, -0.11974896087879373, 0.3274208103429596, 0.15841833602361757, 0.206419539503144, 0.007646969200328649, 0.27747440254960043, 0.03162063746537381, 0.13600850428319858, 0.12308673043998908, 0.3840632974653382, 0.03851906520624956, 0.059074970436686615, -0.19653497452103774, 0.20033905166054858, -0.00402900793314355] |
1,802.00567 | Three-dimensional structure of clumpy outflow from supercritical
accretion flow onto black holes | We perform global three-dimensional (3D) radiation-hydrodynamic (RHD)
simulations of out- flow from supercritical accretion flow around a 10 Msun
black hole. We only solve the outflow part, starting from the axisymmetric 2D
simulation data in a nearly steady state but with small perturbations in a
sinusoidal form being added in the azimuthal direction. The mass accretion rate
onto the black hole is ~10^2 L_E/c^2 in the underlying 2D simulation data and
the outflow rate is ~10 L_E/c^2 (with LE and c being the Eddington luminosity
and speed of light, respectively). We first confirm the emergence of clumpy
outflow, which was discovered by the 2D RHD simulations, above the photosphere
located at a few hundreds of Schwarzschild radii (r_S) from the central black
hole. As prominent 3D features we find that the clumps have the shape of a torn
sheet, rather than a cut string, and that they are rotating around the central
black hole with a sub-Keplerian velocity at a distance of ~10^3 r_S from the
center. The typical clump size is ~30 r_S or less in the radial direction, and
is more elongated in the angular directions, ~hundreds of r_S at most. The
sheet separation ranges from 50 to 150 r_S. We expect stochastic time
variations when clumps pass across the line of the sight of a distant observer.
Variation timescales are estimated to be several seconds for a black hole with
mass of ten to several tens of Msun, in rough agreement with the observations
of some ultra-luminous X-ray sources.
| astro-ph.HE | we perform global threedimensional 3d radiationhydrodynamic rhd simulations of out flow from supercritical accretion flow around a 10 msun black hole we only solve the outflow part starting from the axisymmetric 2d simulation data in a nearly steady state but with small perturbations in a sinusoidal form being added in the azimuthal direction the mass accretion rate onto the black hole is 102 l_ec2 in the underlying 2d simulation data and the outflow rate is 10 l_ec2 with le and c being the eddington luminosity and speed of light respectively we first confirm the emergence of clumpy outflow which was discovered by the 2d rhd simulations above the photosphere located at a few hundreds of schwarzschild radii r_s from the central black hole as prominent 3d features we find that the clumps have the shape of a torn sheet rather than a cut string and that they are rotating around the central black hole with a subkeplerian velocity at a distance of 103 r_s from the center the typical clump size is 30 r_s or less in the radial direction and is more elongated in the angular directions hundreds of r_s at most the sheet separation ranges from 50 to 150 r_s we expect stochastic time variations when clumps pass across the line of the sight of a distant observer variation timescales are estimated to be several seconds for a black hole with mass of ten to several tens of msun in rough agreement with the observations of some ultraluminous xray sources | [['we', 'perform', 'global', 'threedimensional', '3d', 'radiationhydrodynamic', 'rhd', 'simulations', 'of', 'out', 'flow', 'from', 'supercritical', 'accretion', 'flow', 'around', 'a', '10', 'msun', 'black', 'hole', 'we', 'only', 'solve', 'the', 'outflow', 'part', 'starting', 'from', 'the', 'axisymmetric', '2d', 'simulation', 'data', 'in', 'a', 'nearly', 'steady', 'state', 'but', 'with', 'small', 'perturbations', 'in', 'a', 'sinusoidal', 'form', 'being', 'added', 'in', 'the', 'azimuthal', 'direction', 'the', 'mass', 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1,802.00568 | An Instability in Variational Inference for Topic Models | Topic models are Bayesian models that are frequently used to capture the
latent structure of certain corpora of documents or images. Each data element
in such a corpus (for instance each item in a collection of scientific
articles) is regarded as a convex combination of a small number of vectors
corresponding to `topics' or `components'. The weights are assumed to have a
Dirichlet prior distribution. The standard approach towards approximating the
posterior is to use variational inference algorithms, and in particular a mean
field approximation.
We show that this approach suffers from an instability that can produce
misleading conclusions. Namely, for certain regimes of the model parameters,
variational inference outputs a non-trivial decomposition into topics. However
--for the same parameter values-- the data contain no actual information about
the true decomposition, and hence the output of the algorithm is uncorrelated
with the true topic decomposition. Among other consequences, the estimated
posterior mean is significantly wrong, and estimated Bayesian credible regions
do not achieve the nominal coverage. We discuss how this instability is
remedied by more accurate mean field approximations.
| stat.ML | topic models are bayesian models that are frequently used to capture the latent structure of certain corpora of documents or images each data element in such a corpus for instance each item in a collection of scientific articles is regarded as a convex combination of a small number of vectors corresponding to topics or components the weights are assumed to have a dirichlet prior distribution the standard approach towards approximating the posterior is to use variational inference algorithms and in particular a mean field approximation we show that this approach suffers from an instability that can produce misleading conclusions namely for certain regimes of the model parameters variational inference outputs a nontrivial decomposition into topics however for the same parameter values the data contain no actual information about the true decomposition and hence the output of the algorithm is uncorrelated with the true topic decomposition among other consequences the estimated posterior mean is significantly wrong and estimated bayesian credible regions do not achieve the nominal coverage we discuss how this instability is remedied by more accurate mean field approximations | [['topic', 'models', 'are', 'bayesian', 'models', 'that', 'are', 'frequently', 'used', 'to', 'capture', 'the', 'latent', 'structure', 'of', 'certain', 'corpora', 'of', 'documents', 'or', 'images', 'each', 'data', 'element', 'in', 'such', 'a', 'corpus', 'for', 'instance', 'each', 'item', 'in', 'a', 'collection', 'of', 'scientific', 'articles', 'is', 'regarded', 'as', 'a', 'convex', 'combination', 'of', 'a', 'small', 'number', 'of', 'vectors', 'corresponding', 'to', 'topics', 'or', 'components', 'the', 'weights', 'are', 'assumed', 'to', 'have', 'a', 'dirichlet', 'prior', 'distribution', 'the', 'standard', 'approach', 'towards', 'approximating', 'the', 'posterior', 'is', 'to', 'use', 'variational', 'inference', 'algorithms', 'and', 'in', 'particular', 'a', 'mean', 'field', 'approximation', 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1,802.00569 | Output and $k_{Q_{clin},Q_{msr}}^{f_{clin},f_{msr}}$ correction factors
measured and calculated in very small circular fields for microDiamond and
EFD-3G detectors | The purpose of this work was to obtain output correction factors for
microDiamond and EFD-3G detectors in very small (less than 5 mm) circular
fields. We also investigated the impact of possible variations in microDiamond
detector design schematics on the calculated correction factors. Output factors
(OFs) of 6MV beams from TrueBeam linac collimated with 1.27-40mm diameter cones
were measured with EBT3 films, microDiamond and EFD-3G detectors as well as
calculated (in water) using Monte Carlo (MC) methods. Based on EBT3
measurements and MC calculations output correction factors were derived for
these detectors. MC calculations were performed for microDiamond detector in
parallel and perpendicular orientations relative to the beam axis. Furthermore,
correction factors were calculated for two microDiamond detector models,
differing by the presence or absence of metallic pins. The measured OFs agreed
within 2.4% for fields $\geqslant$10mm. For the cones of 1.27, 2.46, and 3.77mm
maximum differences were 17.9, 1.8 and 9.0%, respectively. MC calculated output
factors in water agreed with those obtained using EBT3 film within 2.2% for all
fields. MC calculated output correction factors for microDiamond detector in
fields $\geqslant$10mm ranged within 0.975-1.020 for perpendicular and parallel
orientations. MicroDiamond detector correction factors calculated for the 1.27,
2.46 and 3.77mm fields were 1.974, 1.139 and 0.982 with detector in parallel
orientation, and these factors were 1.150, 0.925 and 0.914 in perpendicular
orientation. Including metallic pins in the microDiamond model had little
effect on calculated correction factors. EBT3 and MC obtained correction
factors agreed within 3.7% for fields of $\geqslant$3.77mm and within 5.9% for
smaller cones. Including metallic pins into the detector model is not necessary
as their presence/absence had no effect on calculated correction factors.
| physics.med-ph | the purpose of this work was to obtain output correction factors for microdiamond and efd3g detectors in very small less than 5 mm circular fields we also investigated the impact of possible variations in microdiamond detector design schematics on the calculated correction factors output factors ofs of 6mv beams from truebeam linac collimated with 12740mm diameter cones were measured with ebt3 films microdiamond and efd3g detectors as well as calculated in water using monte carlo mc methods based on ebt3 measurements and mc calculations output correction factors were derived for these detectors mc calculations were performed for microdiamond detector in parallel and perpendicular orientations relative to the beam axis furthermore correction factors were calculated for two microdiamond detector models differing by the presence or absence of metallic pins the measured ofs agreed within 24 for fields geqslant10mm for the cones of 127 246 and 377mm maximum differences were 179 18 and 90 respectively mc calculated output factors in water agreed with those obtained using ebt3 film within 22 for all fields mc calculated output correction factors for microdiamond detector in fields geqslant10mm ranged within 09751020 for perpendicular and parallel orientations microdiamond detector correction factors calculated for the 127 246 and 377mm fields were 1974 1139 and 0982 with detector in parallel orientation and these factors were 1150 0925 and 0914 in perpendicular orientation including metallic pins in the microdiamond model had little effect on calculated correction factors ebt3 and mc obtained correction factors agreed within 37 for fields of geqslant377mm and within 59 for smaller cones including metallic pins into the detector model is not necessary as their presenceabsence had no effect on calculated correction factors | [['the', 'purpose', 'of', 'this', 'work', 'was', 'to', 'obtain', 'output', 'correction', 'factors', 'for', 'microdiamond', 'and', 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1,802.0057 | The Density Profile and Kinematics of the Milky Way with RR Lyrae Stars | Most of known RR Lyraes are type ab RR Lyraes (RRLab), and they are the
excellent tool to map the Milky Way and its substructures. We find that 1148
RRLab stars determined by Drake et al.(2013) have been observed by
spectroscopic surveys of SDSS and LAMOST. We derived radial velocity
dispersion, circular velocity and mass profile from 860 halo tracers in our
paper I. Here, we present the stellar densities and radial velocity
distributions of thick disk and halo of the Milky Way. The 288 RRLab stars
located in the thick disk have the mean metallicity of [Fe/H]$=-1.02$. Three
thick disk tracers have the radial velocity lower than 215 km $\rm s^{-1}$.
With 860 halo tracers which have a mean metallicity of [Fe/H]$=-1.33$, we find
a double power-law of $n(r) \propto r^{-2.8}$ and $n(r) \propto r^{-4.8}$ with
a break distance of 21 kpc to express the halo stellar density profile. The
radial velocity dispersion at 50 kpc is around 78 km $\rm s^{-1}$.
| astro-ph.GA | most of known rr lyraes are type ab rr lyraes rrlab and they are the excellent tool to map the milky way and its substructures we find that 1148 rrlab stars determined by drake et al2013 have been observed by spectroscopic surveys of sdss and lamost we derived radial velocity dispersion circular velocity and mass profile from 860 halo tracers in our paper i here we present the stellar densities and radial velocity distributions of thick disk and halo of the milky way the 288 rrlab stars located in the thick disk have the mean metallicity of feh102 three thick disk tracers have the radial velocity lower than 215 km rm s1 with 860 halo tracers which have a mean metallicity of feh133 we find a double powerlaw of nr propto r28 and nr propto r48 with a break distance of 21 kpc to express the halo stellar density profile the radial velocity dispersion at 50 kpc is around 78 km rm s1 | [['most', 'of', 'known', 'rr', 'lyraes', 'are', 'type', 'ab', 'rr', 'lyraes', 'rrlab', 'and', 'they', 'are', 'the', 'excellent', 'tool', 'to', 'map', 'the', 'milky', 'way', 'and', 'its', 'substructures', 'we', 'find', 'that', '1148', 'rrlab', 'stars', 'determined', 'by', 'drake', 'et', 'al2013', 'have', 'been', 'observed', 'by', 'spectroscopic', 'surveys', 'of', 'sdss', 'and', 'lamost', 'we', 'derived', 'radial', 'velocity', 'dispersion', 'circular', 'velocity', 'and', 'mass', 'profile', 'from', '860', 'halo', 'tracers', 'in', 'our', 'paper', 'i', 'here', 'we', 'present', 'the', 'stellar', 'densities', 'and', 'radial', 'velocity', 'distributions', 'of', 'thick', 'disk', 'and', 'halo', 'of', 'the', 'milky', 'way', 'the', '288', 'rrlab', 'stars', 'located', 'in', 'the', 'thick', 'disk', 'have', 'the', 'mean', 'metallicity', 'of', 'feh102', 'three', 'thick', 'disk', 'tracers', 'have', 'the', 'radial', 'velocity', 'lower', 'than', '215', 'km', 'rm', 's1', 'with', '860', 'halo', 'tracers', 'which', 'have', 'a', 'mean', 'metallicity', 'of', 'feh133', 'we', 'find', 'a', 'double', 'powerlaw', 'of', 'nr', 'propto', 'r28', 'and', 'nr', 'propto', 'r48', 'with', 'a', 'break', 'distance', 'of', '21', 'kpc', 'to', 'express', 'the', 'halo', 'stellar', 'density', 'profile', 'the', 'radial', 'velocity', 'dispersion', 'at', '50', 'kpc', 'is', 'around', '78', 'km', 'rm', 's1']] | [-0.06901097311551527, 0.09446381390534388, -0.09924480547226086, 0.06101591099322606, -0.09404108261469729, -0.036861226859253755, 0.0038007906144947646, 0.4360354422296611, -0.1358584131255908, -0.38630350727749907, -0.022480603476685488, -0.31183323126737467, 0.025461232541121762, 0.21563217262534992, -0.010608052918745309, -0.021055493408001336, 0.0017765727756770548, -0.09472103689664177, -0.06295900822758836, -0.2357707818166023, 0.23998595972007475, 0.007031248944959031, 0.12954661150474495, -0.09656069690494665, 0.054450810171073734, -0.1603345068356728, -0.08896982351965878, -0.012403727776619682, -0.26523455808985646, 0.03530955435679242, 0.17659513798964596, 0.10814054829056913, 0.18957508422191377, -0.29458453907104937, -0.18892189027938228, 0.024430848045639046, 0.26983268809452743, 0.010198780866947187, -0.041423997916975375, -0.2596700788614404, 0.09024048649838992, -0.21249935242943235, -0.26864609845931303, 0.10128557364923102, 0.11991061480507625, 0.08895706480241711, -0.1802930351721285, 0.2397059828147107, 0.007190377246125699, 0.16140403172221057, -0.08302956972464988, -0.1751765491070677, -0.12138833381634738, 0.029320505158455107, 0.004421656897800587, 0.12201535540361026, 0.20237248859321988, -0.0833354786078891, 0.06575907328923852, 0.3904914712845724, -0.1401626347085665, -0.0031869973767164124, 0.16991377316027742, -0.21762673112546435, -0.132106070152212, 0.060278023691466134, 0.14182881923733706, 0.1158680112783722, -0.1525422644205623, 0.048020300386337596, -0.08068274737766695, 0.21846546936109199, 0.11168049329671986, 0.03733493355594529, 0.3108109644330714, 0.03087817316423662, 0.06991974776466117, -0.04095116133298378, -0.33308756552413915, -0.014179124252477325, -0.20650429415128987, -0.09522413550905004, -0.08520519265598438, 0.06434258070965268, -0.17131865381703187, -0.11594744541491411, 0.315736094379786, 0.0859254930090298, 0.24110899361209098, 0.09598029448480132, 0.2896689123717015, 0.09667928398063302, 0.12642397335585878, 0.19986550318748222, 0.3068901214123883, 0.26138929329430743, 0.054029466497555655, -0.23071536461834258, 0.025200340134722197, -0.02995949804129206] |
1,802.00571 | The allowed parameter space of a long-lived neutron star as the merger
remnant of GW170817 | Limited by the sensitivities of the current gravitational wave (GW)
detectors, the central remnant of the binary neutron star (NS) merger
associated with GW170817 remains an open question. Considering the relatively
large total mass, it is generally proposed that the merger of GW170817 would
lead to a shortly lived hypermassive NS or directly produce a black hole (BH).
There is no clear evidence to support or rule out a long-lived NS as the merger
remnant. Here we utilize the GW and electromagnetic (EM) signals to
comprehensively investigate the parameter space that allows a long-lived NS to
survive as the merger remnant of GW170817. We find that for some stiff
equations of state, the merger of GW170817 could, in principle, lead to a
massive NS, which has a millisecond spin period. The post-merger GW signal
could hardly constrain the ellipticity of the NS. If the ellipticity reaches
$10^{-3}$, in order to be compatible with the multi-band EM observations, the
dipole magnetic field of the NS ($B_p$) is constrained to the magnetar level of
$\sim10^{14}$ G. If the ellipticity is smaller than $10^{-4}$, $B_p$ is
constrained to the level of $\sim10^{10}-10^{12}\,$G. These conclusions weakly
depend on the adoption of equations of state.
| astro-ph.HE | limited by the sensitivities of the current gravitational wave gw detectors the central remnant of the binary neutron star ns merger associated with gw170817 remains an open question considering the relatively large total mass it is generally proposed that the merger of gw170817 would lead to a shortly lived hypermassive ns or directly produce a black hole bh there is no clear evidence to support or rule out a longlived ns as the merger remnant here we utilize the gw and electromagnetic em signals to comprehensively investigate the parameter space that allows a longlived ns to survive as the merger remnant of gw170817 we find that for some stiff equations of state the merger of gw170817 could in principle lead to a massive ns which has a millisecond spin period the postmerger gw signal could hardly constrain the ellipticity of the ns if the ellipticity reaches 103 in order to be compatible with the multiband em observations the dipole magnetic field of the ns b_p is constrained to the magnetar level of sim1014 g if the ellipticity is smaller than 104 b_p is constrained to the level of sim10101012g these conclusions weakly depend on the adoption of equations of state | [['limited', 'by', 'the', 'sensitivities', 'of', 'the', 'current', 'gravitational', 'wave', 'gw', 'detectors', 'the', 'central', 'remnant', 'of', 'the', 'binary', 'neutron', 'star', 'ns', 'merger', 'associated', 'with', 'gw170817', 'remains', 'an', 'open', 'question', 'considering', 'the', 'relatively', 'large', 'total', 'mass', 'it', 'is', 'generally', 'proposed', 'that', 'the', 'merger', 'of', 'gw170817', 'would', 'lead', 'to', 'a', 'shortly', 'lived', 'hypermassive', 'ns', 'or', 'directly', 'produce', 'a', 'black', 'hole', 'bh', 'there', 'is', 'no', 'clear', 'evidence', 'to', 'support', 'or', 'rule', 'out', 'a', 'longlived', 'ns', 'as', 'the', 'merger', 'remnant', 'here', 'we', 'utilize', 'the', 'gw', 'and', 'electromagnetic', 'em', 'signals', 'to', 'comprehensively', 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1,802.00572 | Entropy numbers of finite-dimensional embeddings | Entropy numbers and covering numbers of sets and operators are well known
geometric notions, which found many applications in various fields of
mathematics, statistics, and computer science. Their values for
finite-dimensional embeddings $id:\ell_p^n\to \ell_q^n$, $0<p,q\le\infty$, are
known (up to multiplicative constants) since the pioneering work of Sch\"utt in
1984, with later improvements by Edmunds and Triebel, K\"uhn and Gu\'edon and
Litvak. The aim of this survey is to give a self-contained presentation of the
result and an overview of the different techniques used in its proof.
| math.FA | entropy numbers and covering numbers of sets and operators are well known geometric notions which found many applications in various fields of mathematics statistics and computer science their values for finitedimensional embeddings idell_pnto ell_qn 0pqleinfty are known up to multiplicative constants since the pioneering work of schutt in 1984 with later improvements by edmunds and triebel kuhn and guedon and litvak the aim of this survey is to give a selfcontained presentation of the result and an overview of the different techniques used in its proof | [['entropy', 'numbers', 'and', 'covering', 'numbers', 'of', 'sets', 'and', 'operators', 'are', 'well', 'known', 'geometric', 'notions', 'which', 'found', 'many', 'applications', 'in', 'various', 'fields', 'of', 'mathematics', 'statistics', 'and', 'computer', 'science', 'their', 'values', 'for', 'finitedimensional', 'embeddings', 'idell_pnto', 'ell_qn', '0pqleinfty', 'are', 'known', 'up', 'to', 'multiplicative', 'constants', 'since', 'the', 'pioneering', 'work', 'of', 'schutt', 'in', '1984', 'with', 'later', 'improvements', 'by', 'edmunds', 'and', 'triebel', 'kuhn', 'and', 'guedon', 'and', 'litvak', 'the', 'aim', 'of', 'this', 'survey', 'is', 'to', 'give', 'a', 'selfcontained', 'presentation', 'of', 'the', 'result', 'and', 'an', 'overview', 'of', 'the', 'different', 'techniques', 'used', 'in', 'its', 'proof']] | [-0.07823654632582995, 0.0934038067534857, -0.0779015127890965, 0.06970033889714007, -0.07369859863371987, -0.07657723239667359, 0.012959806769642802, 0.2993899903570612, -0.27124753871023477, -0.3610236947812761, 0.1383677810400037, -0.2463928654878622, -0.14365206108916373, 0.2786035685733493, -0.1366839064285159, 0.0513176813403247, 0.02462312304747424, 0.01609882546610953, -0.03932728895008387, -0.3226621844805777, 0.270959401547554, 0.030715107441037184, 0.23447788964923738, 0.08561526963603683, 0.0684058791618251, 0.010380076521652796, -0.11601506816926606, -0.01721494438520278, -0.20087548409632983, 0.16382558582284087, 0.3020623786585583, 0.1361153434228895, 0.2685857802917737, -0.366302041846904, -0.1355941683175929, 0.08526450617050398, 0.09139763412808645, 0.08982893056651976, 0.0055469900724433715, -0.2865316725413625, 0.04929676943547314, -0.1555828852800741, -0.10017596516159497, -0.09931006709424157, 0.08420136271022438, 0.06951794402197092, -0.2028799119316751, 0.019565828421729662, 0.12722542928254588, 0.13298071272826442, -0.021481201009702914, -0.18845476862597502, 0.03181076872611551, 0.12190814938540348, 0.03495237157802053, 0.04190888547704422, 0.0642759471167145, -0.13292094119103803, -0.16629196283230113, 0.3548584320926152, 0.0005925325371901549, -0.126033999558006, 0.20582765064734435, -0.0958675325770552, -0.15524325761500568, 0.055021855915020706, 0.12071230059622653, 0.11402878439999074, -0.11436470858253804, 0.13010149314470168, -0.0387405805910627, 0.08536072043214171, 0.12039923786540471, 0.06281511220593183, 0.11777720999504838, 0.061437913920686, 0.04084940360501475, 0.12000015017388034, 0.025568192586347106, -0.08964718255724403, -0.28326571820348145, -0.16957764339721984, -0.1585090633237823, 0.06475437911770617, -0.03674517671035054, -0.1520973227785102, 0.3759735228072497, 0.10602123065230747, 0.19397552820598885, 0.07624543185340285, 0.23916326762576187, 0.03461060076508494, 0.033642223850446976, 0.06417339517446678, 0.190323400700609, 0.24130411009537056, 0.13237276866788134, -0.06681816853510793, 0.00012723817711784725, 0.120878203361783] |
1,802.00573 | Secure Detection of Image Manipulation by means of Random Feature
Selection | We address the problem of data-driven image manipulation detection in the
presence of an attacker with limited knowledge about the detector.
Specifically, we assume that the attacker knows the architecture of the
detector, the training data and the class of features V the detector can rely
on. In order to get an advantage in his race of arms with the attacker, the
analyst designs the detector by relying on a subset of features chosen at
random in V. Given its ignorance about the exact feature set, the adversary
attacks a version of the detector based on the entire feature set. In this way,
the effectiveness of the attack diminishes since there is no guarantee that
attacking a detector working in the full feature space will result in a
successful attack against the reduced-feature detector. We theoretically prove
that, thanks to random feature selection, the security of the detector
increases significantly at the expense of a negligible loss of performance in
the absence of attacks. We also provide an experimental validation of the
proposed procedure by focusing on the detection of two specific kinds of image
manipulations, namely adaptive histogram equalization and median filtering. The
experiments confirm the gain in security at the expense of a negligible loss of
performance in the absence of attacks.
| cs.CR | we address the problem of datadriven image manipulation detection in the presence of an attacker with limited knowledge about the detector specifically we assume that the attacker knows the architecture of the detector the training data and the class of features v the detector can rely on in order to get an advantage in his race of arms with the attacker the analyst designs the detector by relying on a subset of features chosen at random in v given its ignorance about the exact feature set the adversary attacks a version of the detector based on the entire feature set in this way the effectiveness of the attack diminishes since there is no guarantee that attacking a detector working in the full feature space will result in a successful attack against the reducedfeature detector we theoretically prove that thanks to random feature selection the security of the detector increases significantly at the expense of a negligible loss of performance in the absence of attacks we also provide an experimental validation of the proposed procedure by focusing on the detection of two specific kinds of image manipulations namely adaptive histogram equalization and median filtering the experiments confirm the gain in security at the expense of a negligible loss of performance in the absence of attacks | [['we', 'address', 'the', 'problem', 'of', 'datadriven', 'image', 'manipulation', 'detection', 'in', 'the', 'presence', 'of', 'an', 'attacker', 'with', 'limited', 'knowledge', 'about', 'the', 'detector', 'specifically', 'we', 'assume', 'that', 'the', 'attacker', 'knows', 'the', 'architecture', 'of', 'the', 'detector', 'the', 'training', 'data', 'and', 'the', 'class', 'of', 'features', 'v', 'the', 'detector', 'can', 'rely', 'on', 'in', 'order', 'to', 'get', 'an', 'advantage', 'in', 'his', 'race', 'of', 'arms', 'with', 'the', 'attacker', 'the', 'analyst', 'designs', 'the', 'detector', 'by', 'relying', 'on', 'a', 'subset', 'of', 'features', 'chosen', 'at', 'random', 'in', 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1,802.00574 | Fast Influence Maximization in Dynamic Graphs: A Local Updating Approach | We propose a generalized framework for influence maximization in large-scale,
time evolving networks. Many real-life influence graphs such as social
networks, telephone networks, and IP traffic data exhibit dynamic
characteristics, e.g., the underlying structure and communication patterns
evolve with time. Correspondingly, we develop a dynamic framework for the
influence maximization problem, where we perform effective local updates to
quickly adjust the top-k influencers, as the structure and communication
patterns in the network change. We design a novel N-Family approach (N=1, 2, 3,
...) based on the maximum influence arborescence (MIA) propagation model with
approximation guarantee of (1-1/e). We then develop heuristic algorithms by
extending the N-Family approach to other information propagation models (e.g.,
independent cascade, linear threshold) and influence maximization algorithms
(e.g., CELF, reverse reachable sketch). Based on a detailed empirical analysis
over several real-world, dynamic, and large-scale networks, we find that our
proposed solution, N-Family improves the updating time of the top-k influencers
by 1-2 orders of magnitude, compared to state-of-the-art algorithms, while
ensuring similar memory usage and influence spreads.
| cs.SI | we propose a generalized framework for influence maximization in largescale time evolving networks many reallife influence graphs such as social networks telephone networks and ip traffic data exhibit dynamic characteristics eg the underlying structure and communication patterns evolve with time correspondingly we develop a dynamic framework for the influence maximization problem where we perform effective local updates to quickly adjust the topk influencers as the structure and communication patterns in the network change we design a novel nfamily approach n1 2 3 based on the maximum influence arborescence mia propagation model with approximation guarantee of 11e we then develop heuristic algorithms by extending the nfamily approach to other information propagation models eg independent cascade linear threshold and influence maximization algorithms eg celf reverse reachable sketch based on a detailed empirical analysis over several realworld dynamic and largescale networks we find that our proposed solution nfamily improves the updating time of the topk influencers by 12 orders of magnitude compared to stateoftheart algorithms while ensuring similar memory usage and influence spreads | [['we', 'propose', 'a', 'generalized', 'framework', 'for', 'influence', 'maximization', 'in', 'largescale', 'time', 'evolving', 'networks', 'many', 'reallife', 'influence', 'graphs', 'such', 'as', 'social', 'networks', 'telephone', 'networks', 'and', 'ip', 'traffic', 'data', 'exhibit', 'dynamic', 'characteristics', 'eg', 'the', 'underlying', 'structure', 'and', 'communication', 'patterns', 'evolve', 'with', 'time', 'correspondingly', 'we', 'develop', 'a', 'dynamic', 'framework', 'for', 'the', 'influence', 'maximization', 'problem', 'where', 'we', 'perform', 'effective', 'local', 'updates', 'to', 'quickly', 'adjust', 'the', 'topk', 'influencers', 'as', 'the', 'structure', 'and', 'communication', 'patterns', 'in', 'the', 'network', 'change', 'we', 'design', 'a', 'novel', 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1,802.00575 | Preserving Patient-centred Controls in Electronic Health Record Systems:
A Reliance-based Model Implication | As a consequence of the huge advancement of the Electronic Health Record
(EHR) in healthcare settings, the My Health Record (MHR) is introduced in
Australia. However security and privacy of the MHR system have been encumbering
the development of the system. Even though the MHR system is claimed as
patient-cenred and patient-controlled, there are several instances where
healthcare providers (other than the usual provider) and system operators who
maintain the system can easily access the system and these unauthorised
accesses can lead to a breach of the privacy of the patients. This is one of
the main concerns of the consumers that affect the uptake of the system. In
this paper, we propose a patient centred MHR framework which requests
authorisation from the patient to access their sensitive health information.
The proposed model increases the involvement and satisfaction of the patients
in their healthcare and also suggests mobile security system to give an online
permission to access the MHR system.
| cs.CY | as a consequence of the huge advancement of the electronic health record ehr in healthcare settings the my health record mhr is introduced in australia however security and privacy of the mhr system have been encumbering the development of the system even though the mhr system is claimed as patientcenred and patientcontrolled there are several instances where healthcare providers other than the usual provider and system operators who maintain the system can easily access the system and these unauthorised accesses can lead to a breach of the privacy of the patients this is one of the main concerns of the consumers that affect the uptake of the system in this paper we propose a patient centred mhr framework which requests authorisation from the patient to access their sensitive health information the proposed model increases the involvement and satisfaction of the patients in their healthcare and also suggests mobile security system to give an online permission to access the mhr system | [['as', 'a', 'consequence', 'of', 'the', 'huge', 'advancement', 'of', 'the', 'electronic', 'health', 'record', 'ehr', 'in', 'healthcare', 'settings', 'the', 'my', 'health', 'record', 'mhr', 'is', 'introduced', 'in', 'australia', 'however', 'security', 'and', 'privacy', 'of', 'the', 'mhr', 'system', 'have', 'been', 'encumbering', 'the', 'development', 'of', 'the', 'system', 'even', 'though', 'the', 'mhr', 'system', 'is', 'claimed', 'as', 'patientcenred', 'and', 'patientcontrolled', 'there', 'are', 'several', 'instances', 'where', 'healthcare', 'providers', 'other', 'than', 'the', 'usual', 'provider', 'and', 'system', 'operators', 'who', 'maintain', 'the', 'system', 'can', 'easily', 'access', 'the', 'system', 'and', 'these', 'unauthorised', 'accesses', 'can', 'lead', 'to', 'a', 'breach', 'of', 'the', 'privacy', 'of', 'the', 'patients', 'this', 'is', 'one', 'of', 'the', 'main', 'concerns', 'of', 'the', 'consumers', 'that', 'affect', 'the', 'uptake', 'of', 'the', 'system', 'in', 'this', 'paper', 'we', 'propose', 'a', 'patient', 'centred', 'mhr', 'framework', 'which', 'requests', 'authorisation', 'from', 'the', 'patient', 'to', 'access', 'their', 'sensitive', 'health', 'information', 'the', 'proposed', 'model', 'increases', 'the', 'involvement', 'and', 'satisfaction', 'of', 'the', 'patients', 'in', 'their', 'healthcare', 'and', 'also', 'suggests', 'mobile', 'security', 'system', 'to', 'give', 'an', 'online', 'permission', 'to', 'access', 'the', 'mhr', 'system']] | [-0.14756855260451102, 0.0012016996802633947, -0.06590238075609071, 0.05146784253220982, -0.06327669871705761, -0.16695472582455584, 0.11162915086311795, 0.3275809679416162, -0.24552671485757338, -0.31784520601217126, 0.15725297521493292, -0.340795193032562, -0.11358910334028327, 0.17658550924874983, -0.19393820957504684, 0.05903032127932846, 0.06238297478603848, 0.08635578148178992, 0.030153132226506743, -0.31731354847809745, 0.3074289621207627, 0.05456813546840714, 0.3422268870156966, 0.09655382233978355, 0.04295629458914546, 0.021760979766037927, 0.0029281829100668054, -0.036353095263667125, -0.04155856566644558, 0.15937762679767947, 0.321155172171472, 0.23392772351250146, 0.3858282040757469, -0.416937708468589, -0.16508006776942388, 0.09442725717797404, 0.1270883227462727, 0.07315423856400943, -0.03286871561026083, -0.3316984686269602, 0.07987059955779888, -0.2798065357028118, -0.11554989677152443, -0.06855348899335706, -0.03820843525419507, 0.040852555504829115, -0.2800940561249758, 0.03879061717185622, 0.009072810028314213, 0.09488520159126743, -0.09408153764479145, -0.0811655156637094, -0.04709255214208808, 0.22988598601291357, 0.09932839571604435, 0.00016843687801524596, 0.16653326076537936, -0.14591792005090679, -0.11653180266848376, 0.3882268241877797, 0.06045737689096831, -0.13485715413890495, 0.17202094845072943, -0.1192554681874293, -0.1486058737174534, 0.06698014569185863, 0.23695467352348415, 0.05154281106624234, -0.23807923166859377, 0.02869271090522385, -0.01948091531573217, 0.18740135205532366, 0.03808406233209881, 0.06697062386459188, 0.1511051228352457, 0.158198460364785, 0.10627252133739994, 0.09423879074865563, -0.013774102652457225, -0.07105265089599534, -0.21002036148882647, -0.18997542607845574, -0.1350029394902949, 0.06480791188092737, -0.052641925072080833, -0.1615995625336065, 0.39477773363144975, 0.2104446618770591, 0.09603308045446779, 0.00540881114275065, 0.3090817398712911, 0.07000805732287184, 0.11712082644078668, 0.08513530705690006, 0.15143923635618126, -0.013827416064406309, 0.22697230182658834, -0.19546629917141806, 0.19625983654839707, -0.07808716641149566] |
1,802.00576 | Real single-loop cyclic three-level configuration of chiral molecules | Single-loop cyclic three-level ($\Delta$-type) configuration of chiral
molecules was used for enantio-separation in many theoretical works.
Considering the effect of molecular rotation, this simple single-loop
configuration is generally replaced by a complicated multiple-loop
configuration containing multiple degenerate magnetic sub-levels and the
ability of the enantio-separation methods is suppressed. For chiral asymmetric
top molecules, we propose a scheme to construct a real single-loop
$\Delta$-type configuration with no connections to other states by applying
three microwave fields with appropriate polarization vectors and frequencies.
With our scheme, the previous theoretical proposals for enantio-separation
based on single-loop $\Delta$-type configurations can be experimentally
realized when the molecular rotation is considered.
| quant-ph | singleloop cyclic threelevel deltatype configuration of chiral molecules was used for enantioseparation in many theoretical works considering the effect of molecular rotation this simple singleloop configuration is generally replaced by a complicated multipleloop configuration containing multiple degenerate magnetic sublevels and the ability of the enantioseparation methods is suppressed for chiral asymmetric top molecules we propose a scheme to construct a real singleloop deltatype configuration with no connections to other states by applying three microwave fields with appropriate polarization vectors and frequencies with our scheme the previous theoretical proposals for enantioseparation based on singleloop deltatype configurations can be experimentally realized when the molecular rotation is considered | [['singleloop', 'cyclic', 'threelevel', 'deltatype', 'configuration', 'of', 'chiral', 'molecules', 'was', 'used', 'for', 'enantioseparation', 'in', 'many', 'theoretical', 'works', 'considering', 'the', 'effect', 'of', 'molecular', 'rotation', 'this', 'simple', 'singleloop', 'configuration', 'is', 'generally', 'replaced', 'by', 'a', 'complicated', 'multipleloop', 'configuration', 'containing', 'multiple', 'degenerate', 'magnetic', 'sublevels', 'and', 'the', 'ability', 'of', 'the', 'enantioseparation', 'methods', 'is', 'suppressed', 'for', 'chiral', 'asymmetric', 'top', 'molecules', 'we', 'propose', 'a', 'scheme', 'to', 'construct', 'a', 'real', 'singleloop', 'deltatype', 'configuration', 'with', 'no', 'connections', 'to', 'other', 'states', 'by', 'applying', 'three', 'microwave', 'fields', 'with', 'appropriate', 'polarization', 'vectors', 'and', 'frequencies', 'with', 'our', 'scheme', 'the', 'previous', 'theoretical', 'proposals', 'for', 'enantioseparation', 'based', 'on', 'singleloop', 'deltatype', 'configurations', 'can', 'be', 'experimentally', 'realized', 'when', 'the', 'molecular', 'rotation', 'is', 'considered']] | [-0.16461169813715276, 0.17958756797015668, -0.002966828979108305, 0.031685519413579076, -0.050691818519096286, -0.18606799648065742, 0.029102685306930824, 0.4386153551439444, -0.1906173077633693, -0.2755728968374786, 0.03880026817565695, -0.19515068476043995, -0.12029146321472667, 0.2029497234594254, 0.003527681449694293, 0.03724563451306451, 0.03422227141757806, 0.019737126128304572, -0.031307781106304555, -0.2103951598140633, 0.3061600131248789, 0.03560244528177593, 0.2767091472588834, -0.015013208670522242, 0.0737695339801056, -0.005948981811248121, 0.04713650970675406, 0.027211134712256137, -0.06890973553416274, 0.11329424104132202, 0.2150798446986647, 0.02529131020641043, 0.17616147079638073, -0.462421679975731, -0.2335719464878951, 0.08802982449886344, 0.11025699510992992, 0.17549695734910312, -0.045581796575736785, -0.3017898065082374, 0.04699197550348583, -0.14599779350904837, -0.15669427446167294, -0.10397786448399225, -0.00939979009285924, 0.017846023867882435, -0.31795795505777713, 0.025453694155883222, 0.016065301605322886, 0.07772273482488734, -0.042745328667972766, -0.10143072768779737, -0.019452073890715838, 0.07522854470963856, -0.018898520847072914, 0.03968654361420444, 0.15117885870859027, -0.04953567143086167, -0.184265996138787, 0.36654943243733473, -0.06569885806668373, -0.23184210258935178, 0.1782929862117661, -0.07700458757490629, -0.11907593476630393, 0.12811498875241903, 0.07710675853526308, 0.13276198417657897, -0.11506111454509664, 0.06653691446962988, -0.02365562082933528, 0.1464521417106014, 0.08372735300411781, 0.006834547553167102, 0.1901019371602507, 0.13585725524019274, 0.04255124574383011, 0.1578158647836452, -0.1128565368442131, -0.15025048000471933, -0.2189534428534985, -0.0732518054461772, -0.16113210237097172, 0.04704367982090584, -0.026920221541686693, -0.1366926057973788, 0.3908818902782514, 0.09053916578580226, 0.19348189486634162, -0.06411820060706565, 0.3530728514705386, 0.09626946285300489, 0.07937756055256441, 0.040730224599662634, 0.23952559880646213, 0.16876347351907975, 0.06540433727648287, -0.23760110229652906, 0.022569654997260796, 0.043294231247689045] |
1,802.00577 | Ensuring Data Integrity in Electronic Health Records: A Quality Health
Care Implication | An Electronic Health Record (EHR) system must enable efficient availability
of meaningful, accurate and complete data to assist improved clinical
administration through the development, implementation and optimisation of
clinical pathways. Therefore data integrity is the driving force in EHR systems
and is an essential aspect of service delivery at all levels. However,
preserving data integrity in EHR systems has become a major problem because of
its consequences in promoting high standards of patient care. In this paper, we
review and address the impact of data integrity of the use of EHR system and
its associated issues. We determine and analyse three phases of data integrity
of an EHR system. Finally, we also present an appropriate method to preserve
the integrity in EHR systems. To analyse and evaluate the data integrity, one
of the major clinical systems in Australia is considered. This will demonstrate
the impact on quality and safety of patient care.
| cs.CY cs.CR | an electronic health record ehr system must enable efficient availability of meaningful accurate and complete data to assist improved clinical administration through the development implementation and optimisation of clinical pathways therefore data integrity is the driving force in ehr systems and is an essential aspect of service delivery at all levels however preserving data integrity in ehr systems has become a major problem because of its consequences in promoting high standards of patient care in this paper we review and address the impact of data integrity of the use of ehr system and its associated issues we determine and analyse three phases of data integrity of an ehr system finally we also present an appropriate method to preserve the integrity in ehr systems to analyse and evaluate the data integrity one of the major clinical systems in australia is considered this will demonstrate the impact on quality and safety of patient care | [['an', 'electronic', 'health', 'record', 'ehr', 'system', 'must', 'enable', 'efficient', 'availability', 'of', 'meaningful', 'accurate', 'and', 'complete', 'data', 'to', 'assist', 'improved', 'clinical', 'administration', 'through', 'the', 'development', 'implementation', 'and', 'optimisation', 'of', 'clinical', 'pathways', 'therefore', 'data', 'integrity', 'is', 'the', 'driving', 'force', 'in', 'ehr', 'systems', 'and', 'is', 'an', 'essential', 'aspect', 'of', 'service', 'delivery', 'at', 'all', 'levels', 'however', 'preserving', 'data', 'integrity', 'in', 'ehr', 'systems', 'has', 'become', 'a', 'major', 'problem', 'because', 'of', 'its', 'consequences', 'in', 'promoting', 'high', 'standards', 'of', 'patient', 'care', 'in', 'this', 'paper', 'we', 'review', 'and', 'address', 'the', 'impact', 'of', 'data', 'integrity', 'of', 'the', 'use', 'of', 'ehr', 'system', 'and', 'its', 'associated', 'issues', 'we', 'determine', 'and', 'analyse', 'three', 'phases', 'of', 'data', 'integrity', 'of', 'an', 'ehr', 'system', 'finally', 'we', 'also', 'present', 'an', 'appropriate', 'method', 'to', 'preserve', 'the', 'integrity', 'in', 'ehr', 'systems', 'to', 'analyse', 'and', 'evaluate', 'the', 'data', 'integrity', 'one', 'of', 'the', 'major', 'clinical', 'systems', 'in', 'australia', 'is', 'considered', 'this', 'will', 'demonstrate', 'the', 'impact', 'on', 'quality', 'and', 'safety', 'of', 'patient', 'care']] | [-0.15243989614598258, -0.019354689682107785, -0.0379762076251944, 0.04434177139544198, -0.03699590274635212, -0.07909869369866915, 0.07283259067901925, 0.38095794343634654, -0.249359696533678, -0.2937245423488907, 0.21397060379202135, -0.32035415149048757, -0.11578657991546941, 0.21568362817388811, -0.15325792880244798, 0.10710677278372091, 0.115890811425695, 0.035832547774158514, -0.01810329867064291, -0.2933679475283593, 0.29440493887829544, 0.08312190358379953, 0.3856248174530552, 0.10315297701239806, 0.0777912045948477, 0.028652509703533724, -0.037022835403484736, -0.06055735164217798, -0.06208306334232666, 0.1714309672235303, 0.34509279238256185, 0.269315497226719, 0.3666235634713973, -0.49553288135824625, -0.16983733661426845, 0.06166288279621911, 0.1084137346509746, 0.09370667290549088, -0.04323346614240252, -0.2773017818414557, 0.07744680662137016, -0.2111291648195076, -0.14074595988495275, -0.17082636984751412, 0.006399518228136003, -0.027792136159596817, -0.24164841949057422, 0.04826119249685833, -0.037737235941581036, 0.16373975768127771, -0.13294026772583542, -0.078144381204957, -0.040867683333712386, 0.24012852716566013, 0.048557255300693214, -0.006542552516820203, 0.13984279966864147, -0.14354551102353166, -0.09609854546694183, 0.4157444439172794, 0.05911805141544104, -0.1564048182427589, 0.1671826569976187, -0.08113799091226706, -0.20732878633345153, 0.08393025084545738, 0.2808256037081408, 0.009152496328552891, -0.24144887267979548, 0.006769257843476034, 0.0948341829444919, 0.1986294871235977, -0.004809795572471462, 0.06563456173324467, 0.19459545256962119, 0.22973660869817986, 0.030941489327233285, 0.12501854505267387, -0.060797928194101826, -0.01987655529917806, -0.2095518958996859, -0.18593210825690076, -0.11684012985987417, 0.012370664108618113, -0.05114053495880829, -0.1783850986470689, 0.3913169765575348, 0.24356790199051734, 0.13000530293165388, -0.04355424427883822, 0.3435048901929373, 0.015723924023883517, 0.08813906244483262, 0.00036442712390501246, 0.1557470041106602, 0.014401233202079311, 0.14114021606694319, -0.2349352690185984, 0.15252435188066507, -0.06703018118921471] |
1,802.00578 | A reversal phenomenon in estimation based on multiple samples from the
Poisson--Dirichlet distribution | Consider two forms of sampling from a population: (i) drawing $s$ samples of
$n$ elements with replacement and (ii) drawing a single sample of $ns$
elements. In this paper, under the setting where the descending order
population frequency follows the Poisson--Dirichlet distribution with parameter
$\theta$, we report that the magnitude relation of the Fisher information,
which sample partitions converted from samples (i) and (ii) possess, can change
depending on the parameters, $n$, $s$, and $\theta$. Roughly speaking, if
$\theta$ is small relative to $n$ and $s$, the Fisher information of (i) is
larger than that of (ii); on the contrary, if $\theta$ is large relative to $n$
and $s$, the Fisher information of (ii) is larger than that of (i). The result
represents one aspect of random distributions.
| math.ST stat.TH | consider two forms of sampling from a population i drawing s samples of n elements with replacement and ii drawing a single sample of ns elements in this paper under the setting where the descending order population frequency follows the poissondirichlet distribution with parameter theta we report that the magnitude relation of the fisher information which sample partitions converted from samples i and ii possess can change depending on the parameters n s and theta roughly speaking if theta is small relative to n and s the fisher information of i is larger than that of ii on the contrary if theta is large relative to n and s the fisher information of ii is larger than that of i the result represents one aspect of random distributions | [['consider', 'two', 'forms', 'of', 'sampling', 'from', 'a', 'population', 'i', 'drawing', 's', 'samples', 'of', 'n', 'elements', 'with', 'replacement', 'and', 'ii', 'drawing', 'a', 'single', 'sample', 'of', 'ns', 'elements', 'in', 'this', 'paper', 'under', 'the', 'setting', 'where', 'the', 'descending', 'order', 'population', 'frequency', 'follows', 'the', 'poissondirichlet', 'distribution', 'with', 'parameter', 'theta', 'we', 'report', 'that', 'the', 'magnitude', 'relation', 'of', 'the', 'fisher', 'information', 'which', 'sample', 'partitions', 'converted', 'from', 'samples', 'i', 'and', 'ii', 'possess', 'can', 'change', 'depending', 'on', 'the', 'parameters', 'n', 's', 'and', 'theta', 'roughly', 'speaking', 'if', 'theta', 'is', 'small', 'relative', 'to', 'n', 'and', 's', 'the', 'fisher', 'information', 'of', 'i', 'is', 'larger', 'than', 'that', 'of', 'ii', 'on', 'the', 'contrary', 'if', 'theta', 'is', 'large', 'relative', 'to', 'n', 'and', 's', 'the', 'fisher', 'information', 'of', 'ii', 'is', 'larger', 'than', 'that', 'of', 'i', 'the', 'result', 'represents', 'one', 'aspect', 'of', 'random', 'distributions']] | [-0.09907349347486161, 0.16518911669118097, -0.061161790348705836, -0.00551930446181359, -0.049397601866076, -0.15532327236724086, 0.07812363494758756, 0.319991390371797, -0.2655398831630009, -0.32985211446248286, 0.0734185120300026, -0.33144858237938024, -0.07930544165355968, 0.14283771922055166, -0.04761747712473152, -0.04709856305271387, 0.019740339870622847, 0.07943940414406825, -0.10517907211578859, -0.24231693010005984, 0.35980541340541095, 0.0038979013406788, 0.256524983808049, -0.0825521271276557, 0.0838108202588046, 0.0006435863469960168, -0.04327481228210672, 0.03623247544237529, -0.1498998277374426, 0.12069539633375825, 0.18023190857320515, 0.17184865619492484, 0.24320290292598656, -0.34981205280871563, -0.12961005711258622, 0.1482230495857948, 0.13066173959668959, 0.053374314596112526, 0.02347738464777649, -0.20877238151297206, 0.07680806173630117, -0.12382590329798404, -0.08019395560768316, 0.036738497437909245, 0.12072285967587959, 0.03986545703810407, -0.3367964986464358, 0.07192701787789701, 0.10737811311685164, 0.04915259261906613, 0.03306072595114529, -0.18041127890683128, -0.04423601011512801, 0.09158306248355075, 0.04869067990057374, 0.043349828633836296, 0.09816711295206915, -0.12474348081923381, -0.04409596028017404, 0.36047092363151023, -0.07186129923161388, -0.15946421613625716, 0.11173040231005871, -0.22522405986092053, -0.0965559684773325, 0.11818678803138027, 0.13234428846044466, 0.14597538350790273, -0.06255957922530797, 0.08638029415078563, -0.06239302473841235, 0.21190878866036655, 0.05589412293920759, 0.0307400205747399, 0.1487176385417115, 0.13943565990120987, 0.06995488557731733, 0.11458050090641336, -0.139996361991507, -0.07529781405173708, -0.32884771638782695, -0.16750892912205018, -0.2346974331085221, 0.1062558271951275, -0.139492092235173, -0.13667213427834213, 0.3482809608685784, 0.15288552094170882, 0.2544696484510496, 0.06332959265000682, 0.20674268761649728, 0.1003431474109675, 0.03999145852867514, 0.08046309981727973, 0.15784125697246054, 0.12107317012851126, 0.023331853475610842, -0.17068884759646608, 0.1252735986454354, 0.031910254878312116] |
1,802.00579 | QCD axion dark matter from long-lived domain walls during matter
domination | The domain wall problem of the Peccei-Quinn mechanism can be solved if the
Peccei-Quinn symmetry is explicitly broken by a small amount. Domain walls
decay into axions, which may account for dark matter of the universe. This
scheme is however strongly constrained by overproduction of axions unless the
phase of the explicit breaking term is tuned. We investigate the case where the
universe is matter-dominated around the temperature of the MeV scale and domain
walls decay during this matter dominated epoch. We show how the viable
parameter space is expanded.
| hep-ph astro-ph.CO | the domain wall problem of the pecceiquinn mechanism can be solved if the pecceiquinn symmetry is explicitly broken by a small amount domain walls decay into axions which may account for dark matter of the universe this scheme is however strongly constrained by overproduction of axions unless the phase of the explicit breaking term is tuned we investigate the case where the universe is matterdominated around the temperature of the mev scale and domain walls decay during this matter dominated epoch we show how the viable parameter space is expanded | [['the', 'domain', 'wall', 'problem', 'of', 'the', 'pecceiquinn', 'mechanism', 'can', 'be', 'solved', 'if', 'the', 'pecceiquinn', 'symmetry', 'is', 'explicitly', 'broken', 'by', 'a', 'small', 'amount', 'domain', 'walls', 'decay', 'into', 'axions', 'which', 'may', 'account', 'for', 'dark', 'matter', 'of', 'the', 'universe', 'this', 'scheme', 'is', 'however', 'strongly', 'constrained', 'by', 'overproduction', 'of', 'axions', 'unless', 'the', 'phase', 'of', 'the', 'explicit', 'breaking', 'term', 'is', 'tuned', 'we', 'investigate', 'the', 'case', 'where', 'the', 'universe', 'is', 'matterdominated', 'around', 'the', 'temperature', 'of', 'the', 'mev', 'scale', 'and', 'domain', 'walls', 'decay', 'during', 'this', 'matter', 'dominated', 'epoch', 'we', 'show', 'how', 'the', 'viable', 'parameter', 'space', 'is', 'expanded']] | [-0.15902633797377347, 0.2609924270667964, -0.0858277983394348, 0.12408406165195629, -0.14458637188816081, -0.09162432405606119, 0.01144364200428956, 0.33129248031311564, -0.31239436707562873, -0.3263472909521725, 0.12660850496031345, -0.17503722708982725, -0.023494836098204058, 0.0929937257948849, 0.02154745613742206, -0.05060211352797018, -0.013949841167777777, -0.02155677978363302, -0.006242917374604278, -0.24570976839297348, 0.32630896069523363, 0.02891484571672562, 0.22800322899905343, 0.07928469142255684, 0.06857157424997745, -0.10253628676420906, 0.025321007975273663, -0.0382685620547919, -0.14562496684957296, 0.009021464874967933, 0.17175973976134426, 0.07801212767759959, 0.20357380100888098, -0.4486199216917157, -0.23905546241957282, 0.2243503821703295, 0.23246725149090505, 0.13266822133187411, -0.07656889364718356, -0.32338814727910276, 0.08608206731991636, -0.1414131009640793, -0.11066346833896305, -0.04261895742577811, -0.014796890054518978, -0.11195420113314564, -0.2792063264797131, 0.1436059164090289, 0.009945219501646028, -0.08619371147619354, -0.08272615943310989, -0.04257559407916334, -0.017300513190113834, -0.003742213324747152, 0.16709912285570883, 0.04903912358503375, 0.18245573074737978, -0.18641186909517274, -0.0175525177444797, 0.4608731244587236, -0.08884749319404364, -0.13373401635843846, 0.06255153107663823, -0.1306161399723755, -0.10297587359738018, 0.1683835941315111, 0.11811975716716713, 0.12098916394946475, -0.10867189601477649, 0.21355086683696653, 0.0020399825414642693, 0.24034706817344867, 0.06686403305373258, -0.01234206689728631, 0.31564109401984347, 0.20533995640515867, 0.052928432268607946, 0.12516197716273988, -0.027692021088053784, -0.09586166879679593, -0.37151655084970925, -0.10765176044983996, -0.20585935345540443, 0.017818179436855847, -0.09887706993338523, -0.08791156591226658, 0.3625359886417654, 0.07675438762978753, 0.20055641090083454, -0.0321517720236443, 0.28253536375963856, 0.11207314017746184, 0.06551018363485733, 0.05972335068508983, 0.28925797441560364, 0.051207097124360085, 0.1119670099268357, -0.2861372483945969, 0.011451219927726521, 0.06529764810370074] |
1,802.0058 | A Multi-Kernel Multi-Code Polar Decoder Architecture | Polar codes have received increasing attention in the past decade, and have
been selected for the next generation of wireless communication standard. Most
research on polar codes has focused on codes constructed from a $2\times2$
polarization matrix, called binary kernel: codes constructed from binary
kernels have code lengths that are bound to powers of $2$. A few recent works
have proposed construction methods based on multiple kernels of different
dimensions, not only binary ones, allowing code lengths different from powers
of $2$. In this work, we design and implement the first multi-kernel successive
cancellation polar code decoder in literature. It can decode any code
constructed with binary and ternary kernels: the architecture, sized for a
maximum code length $N_{max}$, is fully flexible in terms of code length, code
rate and kernel sequence. The decoder can achieve frequency of more than $1$
GHz in $65$ nm CMOS technology, and a throughput of $615$ Mb/s. The area
occupation ranges between $0.11$ mm$^2$ for $N_{max}=256$ and $2.01$ mm$^2$ for
$N_{max}=4096$. Implementation results show an unprecedented degree of
flexibility: with $N_{max}=4096$, up to $55$ code lengths can be decoded with
the same hardware, along with any kernel sequence and code rate.
| cs.AR | polar codes have received increasing attention in the past decade and have been selected for the next generation of wireless communication standard most research on polar codes has focused on codes constructed from a 2times2 polarization matrix called binary kernel codes constructed from binary kernels have code lengths that are bound to powers of 2 a few recent works have proposed construction methods based on multiple kernels of different dimensions not only binary ones allowing code lengths different from powers of 2 in this work we design and implement the first multikernel successive cancellation polar code decoder in literature it can decode any code constructed with binary and ternary kernels the architecture sized for a maximum code length n_max is fully flexible in terms of code length code rate and kernel sequence the decoder can achieve frequency of more than 1 ghz in 65 nm cmos technology and a throughput of 615 mbs the area occupation ranges between 011 mm2 for n_max256 and 201 mm2 for n_max4096 implementation results show an unprecedented degree of flexibility with n_max4096 up to 55 code lengths can be decoded with the same hardware along with any kernel sequence and code rate | [['polar', 'codes', 'have', 'received', 'increasing', 'attention', 'in', 'the', 'past', 'decade', 'and', 'have', 'been', 'selected', 'for', 'the', 'next', 'generation', 'of', 'wireless', 'communication', 'standard', 'most', 'research', 'on', 'polar', 'codes', 'has', 'focused', 'on', 'codes', 'constructed', 'from', 'a', '2times2', 'polarization', 'matrix', 'called', 'binary', 'kernel', 'codes', 'constructed', 'from', 'binary', 'kernels', 'have', 'code', 'lengths', 'that', 'are', 'bound', 'to', 'powers', 'of', '2', 'a', 'few', 'recent', 'works', 'have', 'proposed', 'construction', 'methods', 'based', 'on', 'multiple', 'kernels', 'of', 'different', 'dimensions', 'not', 'only', 'binary', 'ones', 'allowing', 'code', 'lengths', 'different', 'from', 'powers', 'of', '2', 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1,802.00581 | Optimization of the porous material described by the Biot model | The paper is devoted to the shape optimization of microstructures generating
porous locally periodic materials saturated by viscous fluids. At the
macroscopic level, the porous material is described by the Biot model defined
in terms of the effective medium coefficients, involving the drained skeleton
elasticity, the Biot stress coupling, the Biot compressibility coefficients,
and by the hydraulic permeability of the Darcy flow model. By virtue of the
homogenization, these coefficients are computed using characteristic responses
of the representative unit cell consisting of an elastic solid skeleton and a
viscous pore fluid. For the purpose of optimization, the sensitivity analysis
on the continuous level of the problem is derived. We provide sensitivities of
objective functions constituted by the Biot model coefficients with respect to
the underlying pore shape described by a B-spline box which embeds the whole
representative cell. We consider material design problems in the framework of
which the layout of a single representative cell is optimized. Then we propose
a sequential linearization approach to the two-scale problem in which local
microstructures are optimized with respect to macroscopic design criteria.
Numerical experiments are reported which include stiffness maximization with
constraints allowing for a sufficient permeability, and vice versa. Issues of
the design anisotropy, the spline box parametrization are discussed. In order
to avoid remeshing a geometric regularization technique based on injectivity
constraints is applied.
| math.OC | the paper is devoted to the shape optimization of microstructures generating porous locally periodic materials saturated by viscous fluids at the macroscopic level the porous material is described by the biot model defined in terms of the effective medium coefficients involving the drained skeleton elasticity the biot stress coupling the biot compressibility coefficients and by the hydraulic permeability of the darcy flow model by virtue of the homogenization these coefficients are computed using characteristic responses of the representative unit cell consisting of an elastic solid skeleton and a viscous pore fluid for the purpose of optimization the sensitivity analysis on the continuous level of the problem is derived we provide sensitivities of objective functions constituted by the biot model coefficients with respect to the underlying pore shape described by a bspline box which embeds the whole representative cell we consider material design problems in the framework of which the layout of a single representative cell is optimized then we propose a sequential linearization approach to the twoscale problem in which local microstructures are optimized with respect to macroscopic design criteria numerical experiments are reported which include stiffness maximization with constraints allowing for a sufficient permeability and vice versa issues of the design anisotropy the spline box parametrization are discussed in order to avoid remeshing a geometric regularization technique based on injectivity constraints is applied | [['the', 'paper', 'is', 'devoted', 'to', 'the', 'shape', 'optimization', 'of', 'microstructures', 'generating', 'porous', 'locally', 'periodic', 'materials', 'saturated', 'by', 'viscous', 'fluids', 'at', 'the', 'macroscopic', 'level', 'the', 'porous', 'material', 'is', 'described', 'by', 'the', 'biot', 'model', 'defined', 'in', 'terms', 'of', 'the', 'effective', 'medium', 'coefficients', 'involving', 'the', 'drained', 'skeleton', 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1,802.00582 | A ribbon obstruction and derivatives of knots | We define an obstruction for a knot to be Z[Z]-homology ribbon, and use this
to provide restrictions on the integers that can occur as the triple linking
numbers of derivative links of knots that are either homotopy ribbon or doubly
slice. Our main application finds new non-doubly slice knots. In particular
this gives new information on the doubly solvable filtration of Taehee Kim:
doubly algebraically slice ribbon knots need not be doubly (1)-solvable, and
doubly algebraically slice knots need not be (0.5,1)-solvable. We also discuss
potential connections to unsolved conjectures in knot concordance, such as
generalised versions of Kauffman's conjecture. Moreover it is possible that our
obstruction could fail to vanish on a slice knot.
| math.GT | we define an obstruction for a knot to be zzhomology ribbon and use this to provide restrictions on the integers that can occur as the triple linking numbers of derivative links of knots that are either homotopy ribbon or doubly slice our main application finds new nondoubly slice knots in particular this gives new information on the doubly solvable filtration of taehee kim doubly algebraically slice ribbon knots need not be doubly 1solvable and doubly algebraically slice knots need not be 051solvable we also discuss potential connections to unsolved conjectures in knot concordance such as generalised versions of kauffmans conjecture moreover it is possible that our obstruction could fail to vanish on a slice knot | [['we', 'define', 'an', 'obstruction', 'for', 'a', 'knot', 'to', 'be', 'zzhomology', 'ribbon', 'and', 'use', 'this', 'to', 'provide', 'restrictions', 'on', 'the', 'integers', 'that', 'can', 'occur', 'as', 'the', 'triple', 'linking', 'numbers', 'of', 'derivative', 'links', 'of', 'knots', 'that', 'are', 'either', 'homotopy', 'ribbon', 'or', 'doubly', 'slice', 'our', 'main', 'application', 'finds', 'new', 'nondoubly', 'slice', 'knots', 'in', 'particular', 'this', 'gives', 'new', 'information', 'on', 'the', 'doubly', 'solvable', 'filtration', 'of', 'taehee', 'kim', 'doubly', 'algebraically', 'slice', 'ribbon', 'knots', 'need', 'not', 'be', 'doubly', '1solvable', 'and', 'doubly', 'algebraically', 'slice', 'knots', 'need', 'not', 'be', '051solvable', 'we', 'also', 'discuss', 'potential', 'connections', 'to', 'unsolved', 'conjectures', 'in', 'knot', 'concordance', 'such', 'as', 'generalised', 'versions', 'of', 'kauffmans', 'conjecture', 'moreover', 'it', 'is', 'possible', 'that', 'our', 'obstruction', 'could', 'fail', 'to', 'vanish', 'on', 'a', 'slice', 'knot']] | [-0.21060408895986305, 0.09032961761231245, -0.11408007653694399, 0.15079825142763453, -0.17031684091633503, -0.2339848144953181, 0.005000944786310733, 0.4018524533372607, -0.30970493185481784, -0.27305647071350264, 0.11485244877225308, -0.18592937050496336, -0.16549127661992233, 0.17976909731346946, -0.13663576974172717, -0.05598798169762836, 0.08054521240541493, 0.042074540997320484, -0.01341535364380442, -0.3005839533860552, 0.358606335681838, -0.020284156606591365, 0.1360791172754706, 0.11973290389967686, 0.03706565002600352, -0.020810943533171405, -0.0011427047817657392, 0.04658302191963738, -0.20791704089244195, 0.10738053605241517, 0.2648001407684238, 0.08964763011632336, 0.1475738307444362, -0.3760512624741406, -0.13200831212111758, 0.14679629137101877, 0.23439024336730982, 0.05068192796295022, -0.025800176840569185, -0.26244291234425865, 0.09960022226378724, -0.19221196511575767, -0.17822379970803504, -0.08223025655994813, 0.008446181226555292, 0.0322976061856156, -0.15019631588848326, 0.014181860837705753, 0.051299639910392394, 0.04563679123519021, 0.027040896446418924, -0.05907253337696799, -0.028758608895513387, 0.12337455248485345, 0.06742455798771803, 0.06619986519951641, 0.06418423052155622, -0.11236402436436431, -0.21982890655714515, 0.3268717082703973, -0.058027301669573865, -0.2630677128898668, 0.15655574916341752, -0.1252337607202699, -0.2326579538241096, 0.21785600532584304, 0.029940577714729147, 0.13188801870287, -0.021621190896677273, 0.10814240883494652, -0.14189201499847276, 0.1130356415088901, 0.12191535748524575, -0.01061803665062463, 0.20429590217106314, 0.0149384603168614, 0.1053859232421461, 0.18245123288707454, -0.06523894012888877, -0.07178308528707456, -0.36215939721814144, -0.2826588975311769, -0.11813946932487122, 0.11651076002886544, -0.051903746875059616, -0.2258581178816589, 0.4230480242755499, 0.06844545846704293, 0.16567939034503726, 0.13879775159849642, 0.242778138582687, 0.045719468395586486, 0.08249287439829057, 0.06980216833720873, 0.13038786958382875, 0.1879931496989049, -0.029995174142993516, -0.048669624020689514, 0.019086128889440414, 0.16447352113722413] |
1,802.00583 | Observation of $a^{0}_{0}(980)$-$f_{0}(980)$ Mixing | We report the first observation of $a^{0}_{0}(980)$-$f_{0}(980)$ mixing in
the decays of $J/\psi\to\phi f_{0}(980)\to\phi
a^{0}_{0}(980)\to\phi\eta\pi^{0}$ and $\chi_{c1}\to a^{0}_{0}(980)\pi^{0}\to
f_{0}(980)\pi^{0}\to\pi^{+}\pi^{-}\pi^{0}$, using data samples of
$1.31\times10^{9}$ $J/\psi$ events and $4.48\times10^{8}$ $\psi(3686)$ events
accumulated with the BESIII detector. The signals of $f_{0}(980)\to
a^{0}_{0}(980)$ and $a^{0}_{0}(980)\to f_{0}(980)$ mixing are observed at
levels of statistical significance of $7.4\sigma$ and $5.5\sigma$,
respectively. The corresponding branching fractions and mixing intensities are
measured and the constraint regions on the coupling constants,
$g_{a_{0}K^{+}K^{-}}$ and $g_{f_{0}K^{+}K^{-}}$, are estimated. The results
improve the understanding of the nature of $a^{0}_{0}(980)$ and $f_{0}(980)$.
| hep-ex | we report the first observation of a0_0980f_0980 mixing in the decays of jpsitophi f_0980tophi a0_0980tophietapi0 and chi_c1to a0_0980pi0to f_0980pi0topipipi0 using data samples of 131times109 jpsi events and 448times108 psi3686 events accumulated with the besiii detector the signals of f_0980to a0_0980 and a0_0980to f_0980 mixing are observed at levels of statistical significance of 74sigma and 55sigma respectively the corresponding branching fractions and mixing intensities are measured and the constraint regions on the coupling constants g_a_0kk and g_f_0kk are estimated the results improve the understanding of the nature of a0_0980 and f_0980 | [['we', 'report', 'the', 'first', 'observation', 'of', 'a0_0980f_0980', 'mixing', 'in', 'the', 'decays', 'of', 'jpsitophi', 'f_0980tophi', 'a0_0980tophietapi0', 'and', 'chi_c1to', 'a0_0980pi0to', 'f_0980pi0topipipi0', 'using', 'data', 'samples', 'of', '131times109', 'jpsi', 'events', 'and', '448times108', 'psi3686', 'events', 'accumulated', 'with', 'the', 'besiii', 'detector', 'the', 'signals', 'of', 'f_0980to', 'a0_0980', 'and', 'a0_0980to', 'f_0980', 'mixing', 'are', 'observed', 'at', 'levels', 'of', 'statistical', 'significance', 'of', '74sigma', 'and', '55sigma', 'respectively', 'the', 'corresponding', 'branching', 'fractions', 'and', 'mixing', 'intensities', 'are', 'measured', 'and', 'the', 'constraint', 'regions', 'on', 'the', 'coupling', 'constants', 'g_a_0kk', 'and', 'g_f_0kk', 'are', 'estimated', 'the', 'results', 'improve', 'the', 'understanding', 'of', 'the', 'nature', 'of', 'a0_0980', 'and', 'f_0980']] | [-0.08815123766402305, 0.22118797713021815, -0.04862761524187901, 0.0900122651875746, -0.004745805217237099, -0.03392098022613493, 0.09605305114471377, 0.30322305610539707, -0.1636634624098916, -0.31202447412126677, 0.03721405574682782, -0.390133419272876, -0.023960758568491877, 0.15009266684660916, 0.08462259519799817, 0.0998489439271663, 0.10751659653104115, -0.003368143537422506, -0.046361428481049655, -0.15272268686988733, 0.23419019203241234, 0.038657481157470766, 0.24285769450659977, 0.09130858431468014, 0.056630473460422874, -0.06677566774802782, -0.0920974123632399, -0.10136402076360111, -0.14662400751783536, 0.06443255426498448, 0.19238724424106227, 0.13169971585881374, 0.11338037467084644, -0.33466781778033916, -0.052609034041624245, 0.12318196377103649, 0.10464958065308676, 0.0004831557502833808, -0.003534885215652516, -0.42992774031988185, 0.10863170077706255, -0.0938145264290364, 0.0011157114058732986, -0.03775307429647755, 0.022436839125187295, -0.03642369907849082, -0.3357514945915105, 0.1464127191603638, -0.03560537495082471, 0.06021284170039907, -0.04536682981770576, -0.24050076567658746, -0.05255528076597285, 0.07183211303611355, 0.11427637273956817, 0.01268111957555137, 0.17456656345166266, -0.11361092201252354, -0.15963237424290216, 0.3647357513787361, -0.07771768122229998, -0.12120072611766618, 0.15212114010696162, -0.24476811732733394, -0.1290742116582739, 0.19379591898674645, 0.2494335797070185, 0.04088021796083123, -0.1462770245923865, 0.046847661826532425, 0.031427349168352964, 0.1585734184467938, 0.08072874045976233, 0.10686010700400646, 0.13603415336777888, 0.2015826608062858, -0.08133479848322345, 0.05795021676713964, -0.15707761949643764, -0.031166763842764605, -0.3389777685806621, -0.10821447509238724, -0.07475351460459756, 0.04001935215371593, -0.04105548979004663, -0.03752700876296929, 0.3707858724973914, 0.07784407816418423, 0.31171620405483536, 0.046024218232870645, 0.26492697086821243, 0.11651323234844135, 0.004228507446852036, 0.018556807951138513, 0.3268921062713716, 0.22348712998010764, 0.09450164466255867, -0.2686398289018742, 0.11872605621678436, -0.053418440607989705] |
1,802.00584 | K$^{-}$ over K$^{+}$ multiplicity ratio for kaons produced in DIS with a
large fraction of the virtual-photon energy | The K$^{-}$ over K$^{+}$ multiplicity ratio is measured in deep-inelastic
scattering, for the first time for kaons carrying a large fraction $z$ of the
virtual-photon energy. The data were obtained by the COMPASS collaboration
using a 160 GeV muon beam and an isoscalar $^6$LiD target. The regime of
deep-inelastic scattering is ensured by requiring $Q^2>1$ (GeV/$c)^2$ for the
photon virtuality and $W>5$ GeV/$c^2$ for the invariant mass of the produced
hadronic system. Kaons are identified in the momentum range from 12 GeV/$c$ to
40 GeV/$c$, thereby restricting the range in Bjorken-$x$ to $0.01<x<0.40$. The
$z$-dependence of the multiplicity ratio is studied for $z>0.75$. For very
large values of $z$, $i.e.$ $z>0.8$, we observe the kaon multiplicity ratio to
fall below the lower limits expected from calculations based on leading and
next-to-leading order perturbative quantum chromodynamics. Also, the kaon
multiplicity ratio shows a strong dependence on the missing mass of the
single-kaon production process. This suggests that within the perturbative
quantum chromodynamics formalism an additional correction may be required,
which takes into account the phase space available for hadronisation.
| hep-ex hep-ph | the k over k multiplicity ratio is measured in deepinelastic scattering for the first time for kaons carrying a large fraction z of the virtualphoton energy the data were obtained by the compass collaboration using a 160 gev muon beam and an isoscalar 6lid target the regime of deepinelastic scattering is ensured by requiring q21 gevc2 for the photon virtuality and w5 gevc2 for the invariant mass of the produced hadronic system kaons are identified in the momentum range from 12 gevc to 40 gevc thereby restricting the range in bjorkenx to 001x040 the zdependence of the multiplicity ratio is studied for z075 for very large values of z ie z08 we observe the kaon multiplicity ratio to fall below the lower limits expected from calculations based on leading and nexttoleading order perturbative quantum chromodynamics also the kaon multiplicity ratio shows a strong dependence on the missing mass of the singlekaon production process this suggests that within the perturbative quantum chromodynamics formalism an additional correction may be required which takes into account the phase space available for hadronisation | [['the', 'k', 'over', 'k', 'multiplicity', 'ratio', 'is', 'measured', 'in', 'deepinelastic', 'scattering', 'for', 'the', 'first', 'time', 'for', 'kaons', 'carrying', 'a', 'large', 'fraction', 'z', 'of', 'the', 'virtualphoton', 'energy', 'the', 'data', 'were', 'obtained', 'by', 'the', 'compass', 'collaboration', 'using', 'a', '160', 'gev', 'muon', 'beam', 'and', 'an', 'isoscalar', '6lid', 'target', 'the', 'regime', 'of', 'deepinelastic', 'scattering', 'is', 'ensured', 'by', 'requiring', 'q21', 'gevc2', 'for', 'the', 'photon', 'virtuality', 'and', 'w5', 'gevc2', 'for', 'the', 'invariant', 'mass', 'of', 'the', 'produced', 'hadronic', 'system', 'kaons', 'are', 'identified', 'in', 'the', 'momentum', 'range', 'from', '12', 'gevc', 'to', '40', 'gevc', 'thereby', 'restricting', 'the', 'range', 'in', 'bjorkenx', 'to', '001x040', 'the', 'zdependence', 'of', 'the', 'multiplicity', 'ratio', 'is', 'studied', 'for', 'z075', 'for', 'very', 'large', 'values', 'of', 'z', 'ie', 'z08', 'we', 'observe', 'the', 'kaon', 'multiplicity', 'ratio', 'to', 'fall', 'below', 'the', 'lower', 'limits', 'expected', 'from', 'calculations', 'based', 'on', 'leading', 'and', 'nexttoleading', 'order', 'perturbative', 'quantum', 'chromodynamics', 'also', 'the', 'kaon', 'multiplicity', 'ratio', 'shows', 'a', 'strong', 'dependence', 'on', 'the', 'missing', 'mass', 'of', 'the', 'singlekaon', 'production', 'process', 'this', 'suggests', 'that', 'within', 'the', 'perturbative', 'quantum', 'chromodynamics', 'formalism', 'an', 'additional', 'correction', 'may', 'be', 'required', 'which', 'takes', 'into', 'account', 'the', 'phase', 'space', 'available', 'for', 'hadronisation']] | [-0.08527624169903897, 0.2555043405044553, -0.10081283686193243, 0.12414272787813553, 0.00770982001555589, -0.060517092976629695, 0.046735845917920016, 0.33560277568965646, -0.15132379068829918, -0.3103403119609749, -0.05175068359401098, -0.3201940594856643, 0.10454031689313509, 0.16158764429869246, 0.0812048585710542, 0.10230886746182483, 0.06550853899653769, 0.008001508624003516, -0.06443038389433996, -0.20230678830685167, 0.3224451561053257, 0.10046296094617896, 0.22347728347689924, 0.16750227819896688, 0.09184407426299537, 0.08392726758621254, -0.04594679244782113, -0.0554302764011055, -0.1423589145805569, 0.024191675973414196, 0.27031805468749487, 0.03373679697729311, 0.12844195256620056, -0.28784040715887427, -0.10099463141260216, 0.11501513578334434, 0.1647118661094899, 0.05868071952826833, -0.04068757632173766, -0.28479249762255426, 0.11049099390705426, -0.2205406286882626, -0.10982752459236858, -0.060694027331652446, 7.45761339778954e-05, -0.030750263075865175, -0.32323085878696817, 0.10990529745606058, -0.027506434830565973, 0.05893700268335139, -0.0313533466364557, -0.24457850695079938, -0.03934471974265104, 0.06919970984786412, 0.09872324757477252, 0.12370589733029068, 0.1528524502462018, -0.16455019519882708, -0.1132433329351078, 0.38326710070046666, -0.014313795005950003, -0.12696382010060936, 0.10559728582511987, -0.258158752694726, -0.12370467876968116, 0.24064668674695458, 0.21716262484995363, 0.09323881312087967, -0.1916621864173498, 0.10981827506981001, -0.016701045843356917, 0.229973233093134, 0.09006749086034627, 0.04605113667841096, 0.1906789492521077, 0.17211718228448308, -0.013049024096716428, 0.0684964370671765, -0.15330332017498416, -0.08804361797911299, -0.3670830344833897, -0.10748911391939829, -0.11356011965038455, 0.1082052763500172, -0.11051956153750002, -0.05589184307330156, 0.304377209163655, 0.0743557332342722, 0.28343892480426935, 0.051052127731306275, 0.3082064367872847, 0.11864308767365345, 0.09226554832263392, 0.0667645717842115, 0.304241719937194, 0.17155791735171347, 0.1763191379798776, -0.2318549522772263, 0.026313711185334515, 0.03231929875331494] |
1,802.00585 | Energy decay and global solutions for a damped free boundary
fluid-elastic structure interface model with variable coefficients in
elasticity | We cope with a free boundary fluid-structure interaction model. In the model,
the viscous incompressible fluid interacts with elastic body via the common
boundary. The motion of the fluid is governed by Navier-Stokes equations while
the displacement of elastic structure is described by variable coefficient wave
equations. The dissipation is placed on the common boundary between fluid and
elastic body. Given small initial data, the global existence of the solutions
of this system is proved and the exponential decay of solutions are obtained.
| math.AP | we cope with a free boundary fluidstructure interaction model in the model the viscous incompressible fluid interacts with elastic body via the common boundary the motion of the fluid is governed by navierstokes equations while the displacement of elastic structure is described by variable coefficient wave equations the dissipation is placed on the common boundary between fluid and elastic body given small initial data the global existence of the solutions of this system is proved and the exponential decay of solutions are obtained | [['we', 'cope', 'with', 'a', 'free', 'boundary', 'fluidstructure', 'interaction', 'model', 'in', 'the', 'model', 'the', 'viscous', 'incompressible', 'fluid', 'interacts', 'with', 'elastic', 'body', 'via', 'the', 'common', 'boundary', 'the', 'motion', 'of', 'the', 'fluid', 'is', 'governed', 'by', 'navierstokes', 'equations', 'while', 'the', 'displacement', 'of', 'elastic', 'structure', 'is', 'described', 'by', 'variable', 'coefficient', 'wave', 'equations', 'the', 'dissipation', 'is', 'placed', 'on', 'the', 'common', 'boundary', 'between', 'fluid', 'and', 'elastic', 'body', 'given', 'small', 'initial', 'data', 'the', 'global', 'existence', 'of', 'the', 'solutions', 'of', 'this', 'system', 'is', 'proved', 'and', 'the', 'exponential', 'decay', 'of', 'solutions', 'are', 'obtained']] | [-0.2155568220327238, 0.14537004126146078, -0.07876647453957114, -0.024490376217683487, -0.06784425662404084, -0.14009771273325544, -0.09344869003216007, 0.25403591456363, -0.33418968643050595, -0.2617573760090822, 0.11349456277760082, -0.3089012470634946, -0.08960558352879731, 0.11138727574844856, -0.014526456257844546, 0.1458674511810518, 0.08941360970914185, 0.03705616457197052, -0.009038759120571685, -0.135816322333819, 0.3715773171644254, -0.018111376596771808, 0.24765631205301328, 0.015140204578189247, 0.15861981661838806, 0.002238357655636697, -0.004494302266513009, 0.05830414022083383, -0.17939284811896014, 0.09533897744132633, 0.17872480766536353, -0.006697309130511011, 0.22396630360969308, -0.49718508029255615, -0.25731070355388774, 0.025737162325980074, 0.10834793515604393, 0.09319240121586046, -0.013027590762610626, -0.2999366409852203, 0.041054650254727126, -0.1331615886168487, -0.19466570612177791, -0.007734298947300896, 0.034715859578496, 0.08266026221414893, -0.26215910729573455, 0.18054177729884185, 0.05391572505594736, 0.02414503010797752, -0.22277650346485786, -0.04635725257755538, -0.059090818387893845, 0.06801831797438573, 0.1304081898457539, 0.02334285847259214, 0.11594628009114819, -0.1986480920929013, 0.010938873110585902, 0.4210618512637644, -0.062239325703514446, -0.31683450270758334, 0.2285543483266809, -0.11160977762641318, 0.0321970284938902, 0.17634944135255842, 0.18505358551236162, 0.09286073642412582, -0.17793680201298614, 0.12130862621301912, -0.05453781311169508, 0.15280719693884792, 0.07831207658893552, -0.10107016107852919, 0.1600241315921387, 0.23113729389586363, 0.043482929928205814, 0.16156133248033114, -0.04329174809267952, -0.14759777545794306, -0.36459311445703707, -0.12569319718259286, -0.1899034993117114, 0.027572452601750876, -0.12443318527089488, -0.1988488449196118, 0.3324736450148006, 0.07516561282506909, 0.14330654807882495, 0.006782600347581039, 0.2828755043166499, 0.14777613987203642, 0.0176389289189534, 0.12192889055998432, 0.2908370110531708, 0.16190370030880694, 0.127972242200792, -0.27342436170901163, 0.0887467670591032, 0.12732029329783406] |
1,802.00586 | Approaching perfect absorption of monolayer molybdenum disulfide at
visible wavelengths using critical coupling | A simple perfect absorption structure is proposed to achieve the high
efficiency light absorption of monolayer molybdenum disulfide (MoS 2 ) by the
critical coupling mechanism of guided resonances. The results of numerical
simulation and theoretical analysis show that the light absorption in this
atomically thin layer can be as high as 98 . 3% at the visible wavelengths,
which is over 12 times more than that of a bare monolayer MoS 2 . In addition,
the operating wavelength can be tuned flexibly by adjusting the radius of the
air hole and the thickness of the dielectric layers, which is of great
practical significance to improve the efficiency and selectivity of the
absorption in monolayer MoS 2 . The novel idea of using critical coupling to
enhance the light-MoS 2 interaction can be also adopted in other atomically
thin materials. And the meaningful improvement and tunability of the absorption
in monolayer MoS 2 provide a good prospect for the realization of
high-performance MoS 2 -based optoelectronic applications, such as
photodetection and photoluminescence.
| physics.optics | a simple perfect absorption structure is proposed to achieve the high efficiency light absorption of monolayer molybdenum disulfide mos 2 by the critical coupling mechanism of guided resonances the results of numerical simulation and theoretical analysis show that the light absorption in this atomically thin layer can be as high as 98 3 at the visible wavelengths which is over 12 times more than that of a bare monolayer mos 2 in addition the operating wavelength can be tuned flexibly by adjusting the radius of the air hole and the thickness of the dielectric layers which is of great practical significance to improve the efficiency and selectivity of the absorption in monolayer mos 2 the novel idea of using critical coupling to enhance the lightmos 2 interaction can be also adopted in other atomically thin materials and the meaningful improvement and tunability of the absorption in monolayer mos 2 provide a good prospect for the realization of highperformance mos 2 based optoelectronic applications such as photodetection and photoluminescence | [['a', 'simple', 'perfect', 'absorption', 'structure', 'is', 'proposed', 'to', 'achieve', 'the', 'high', 'efficiency', 'light', 'absorption', 'of', 'monolayer', 'molybdenum', 'disulfide', 'mos', '2', 'by', 'the', 'critical', 'coupling', 'mechanism', 'of', 'guided', 'resonances', 'the', 'results', 'of', 'numerical', 'simulation', 'and', 'theoretical', 'analysis', 'show', 'that', 'the', 'light', 'absorption', 'in', 'this', 'atomically', 'thin', 'layer', 'can', 'be', 'as', 'high', 'as', '98', '3', 'at', 'the', 'visible', 'wavelengths', 'which', 'is', 'over', '12', 'times', 'more', 'than', 'that', 'of', 'a', 'bare', 'monolayer', 'mos', '2', 'in', 'addition', 'the', 'operating', 'wavelength', 'can', 'be', 'tuned', 'flexibly', 'by', 'adjusting', 'the', 'radius', 'of', 'the', 'air', 'hole', 'and', 'the', 'thickness', 'of', 'the', 'dielectric', 'layers', 'which', 'is', 'of', 'great', 'practical', 'significance', 'to', 'improve', 'the', 'efficiency', 'and', 'selectivity', 'of', 'the', 'absorption', 'in', 'monolayer', 'mos', '2', 'the', 'novel', 'idea', 'of', 'using', 'critical', 'coupling', 'to', 'enhance', 'the', 'lightmos', '2', 'interaction', 'can', 'be', 'also', 'adopted', 'in', 'other', 'atomically', 'thin', 'materials', 'and', 'the', 'meaningful', 'improvement', 'and', 'tunability', 'of', 'the', 'absorption', 'in', 'monolayer', 'mos', '2', 'provide', 'a', 'good', 'prospect', 'for', 'the', 'realization', 'of', 'highperformance', 'mos', '2', 'based', 'optoelectronic', 'applications', 'such', 'as', 'photodetection', 'and', 'photoluminescence']] | [-0.07985955781044025, 0.07204483041517482, -0.018228910386584654, -0.02751899640421623, -0.025699130382143453, -0.17904610213862654, 0.07057204004655966, 0.45817971938919877, -0.23802406953725808, -0.3603162588384337, 0.04050250965572091, -0.2777168032640736, -0.14646533597957812, 0.2174391376250563, -0.001705358638623339, 0.05551834289029151, 0.00445621839060844, -0.08878364576940692, -0.04607252495831805, -0.20174866169969924, 0.2407453791991233, 0.09191076381028836, 0.3201875367207441, 0.14103570663855372, 0.0493710611662465, -0.0012339438161182547, 0.09713178378122742, 0.00016377256168219857, -0.10735782747574131, 0.14927787006927465, 0.2595143198432306, -0.01833466172753694, 0.26083371047527265, -0.4191470240426813, -0.23708998643156018, -0.011785534522802886, 0.17550600144710993, 0.07787139040507197, -0.0847918439875559, -0.24531208519673275, 0.1196908047973474, -0.13726707404300928, -0.10215742797953282, -0.033721731841831866, -0.014518283508316486, 0.016482776912029633, -0.26069624118840123, 0.026938206871551833, 0.0122527514060145, 0.042514712715655295, -0.05584370232435378, -0.12584206648170948, -0.075112328136864, 0.10356340768139162, -0.0401551027037761, 0.014099259491351818, 0.20221407596066504, -0.15466808194704465, -0.1142376432931441, 0.3894684460309674, -0.10785943477229469, -0.09875532623915793, 0.1609519628172149, -0.16098407141217394, -0.019953851367787507, 0.18693388807782513, 0.15198741378095335, 0.12779545268701936, -0.11215609170232961, 0.035376292166110504, 0.008964861615583256, 0.22326799657218113, 0.0912246150773264, 0.1205386653956464, 0.2350694075349473, 0.24485532198837417, 0.01756968123079863, 0.09418330775416306, -0.13351046527222826, 0.032114201334087614, -0.22425088902076562, -0.21598168132369389, -0.1862347227602104, 0.07839007310438231, -0.1408991040600935, -0.13894200282628666, 0.42907209908533955, 0.16510884435066653, 0.1773423499477927, -0.0157559707769176, 0.304388032902679, 0.12477630524949064, 0.08937978248730927, -0.013472708498412174, 0.34788172897286046, 0.10329194332913545, 0.09356970350557108, -0.18576599225474377, 0.05889345112209303, -0.06445643667711648] |
1,802.00587 | The Lieb-Schultz-Mattis-type filling constraints in the 1651 magnetic
space groups | We present the first systematic study of the filling constraints to realize a
`trivial' insulator symmetric under magnetic space group $\mathcal{M}$. The
filling $\nu$ must be an integer multiple of $m^{\mathcal{M}}$ to avoid
spontaneous symmetry breaking or fractionalization in gapped phases. We improve
the value of $m^{\mathcal{M}}$ in the literature and prove the tightness of the
constraint for the majority of magnetic space groups. The result may shed light
on the material search of exotic magnets with fractionalization.
| cond-mat.str-el cond-mat.other cond-mat.stat-mech | we present the first systematic study of the filling constraints to realize a trivial insulator symmetric under magnetic space group mathcalm the filling nu must be an integer multiple of mmathcalm to avoid spontaneous symmetry breaking or fractionalization in gapped phases we improve the value of mmathcalm in the literature and prove the tightness of the constraint for the majority of magnetic space groups the result may shed light on the material search of exotic magnets with fractionalization | [['we', 'present', 'the', 'first', 'systematic', 'study', 'of', 'the', 'filling', 'constraints', 'to', 'realize', 'a', 'trivial', 'insulator', 'symmetric', 'under', 'magnetic', 'space', 'group', 'mathcalm', 'the', 'filling', 'nu', 'must', 'be', 'an', 'integer', 'multiple', 'of', 'mmathcalm', 'to', 'avoid', 'spontaneous', 'symmetry', 'breaking', 'or', 'fractionalization', 'in', 'gapped', 'phases', 'we', 'improve', 'the', 'value', 'of', 'mmathcalm', 'in', 'the', 'literature', 'and', 'prove', 'the', 'tightness', 'of', 'the', 'constraint', 'for', 'the', 'majority', 'of', 'magnetic', 'space', 'groups', 'the', 'result', 'may', 'shed', 'light', 'on', 'the', 'material', 'search', 'of', 'exotic', 'magnets', 'with', 'fractionalization']] | [-0.24351728730222308, 0.18729640962115618, -0.06819682824425399, 0.05292325221786374, -0.1196024424984659, -0.12439912278817869, 0.10165127083401833, 0.3358398221041027, -0.2643288342147379, -0.3127375009322637, 0.1018327186282381, -0.24288698494140254, -0.10122129228272427, 0.1352562102869055, -0.02357021148169511, -0.01380528916457766, -0.05357641982845962, -0.002171512876980399, -0.1645009410322497, -0.23057859232894293, 0.33668160771853045, -0.040422109825732674, 0.26490597448948966, 0.05841215328837279, 0.026049361116939077, -0.018365292521928877, 0.04470205206522032, -0.02387542227408726, -0.15546213768079484, 0.05988275917173412, 0.20643119706992843, -0.017893328021991214, 0.18368856434857375, -0.4429418986761256, -0.19801649175401267, 0.13695232560980672, 0.11691280541402337, 0.10248716744153123, -0.07471453653813928, -0.34815238940676574, 0.07695056058736027, -0.15312183133975946, -0.14962645281890505, -0.08305991980198182, -0.01664506653201227, -0.03711755688020371, -0.2481912593969977, 0.04388541388815563, 0.0773679679167751, 0.05763643210306518, -0.08881536130425766, -0.1016683033728776, -0.04647100339398572, 0.10631371095568236, 0.08462727361505754, 0.041872689828252124, 0.11208788953923718, -0.15204321944743002, -0.17237802526276363, 0.42237677400637613, -0.004990614527885459, -0.16360364987294337, 0.12729252063620247, -0.1967056361488511, -0.19040641416550466, 0.17079023931077436, 0.17397828218772224, 0.0833705183682277, -0.04356672130770197, 0.08593399600067642, -0.09956981903432231, 0.15495616629394995, -0.02123470230665254, 0.09055237174279203, 0.2580831156626932, 0.16518097952633215, 0.11463300849458105, 0.18249455146264823, -0.058386750332398436, -0.037723158210466956, -0.32215635154448374, -0.21921439209683358, -0.19643868415886045, 0.07950876167926349, -0.0402033470299533, -0.1462262759849086, 0.3894778255887918, 0.13144066602628873, 0.1749788492084726, -0.013134812053881194, 0.22249957525146832, 0.09644208952637487, 0.05148215163621659, 0.023631170771918016, 0.2216963726586025, 0.11020686473746441, 0.02041118120848152, -0.2733624745160341, 0.015438601203066738, 0.08391879181573658] |
1,802.00588 | When Good Components Go Bad: Formally Secure Compilation Despite Dynamic
Compromise | We propose a new formal criterion for evaluating secure compilation schemes
for unsafe languages, expressing end-to-end security guarantees for software
components that may become compromised after encountering undefined
behavior---for example, by accessing an array out of bounds.
Our criterion is the first to model dynamic compromise in a system of
mutually distrustful components with clearly specified privileges. It
articulates how each component should be protected from all the others---in
particular, from components that have encountered undefined behavior and become
compromised. Each component receives secure compilation guarantees---in
particular, its internal invariants are protected from compromised
components---up to the point when this component itself becomes compromised,
after which we assume an attacker can take complete control and use this
component's privileges to attack other components. More precisely, a secure
compilation chain must ensure that a dynamically compromised component cannot
break the safety properties of the system at the target level any more than an
arbitrary attacker-controlled component (with the same interface and
privileges, but without undefined behaviors) already could at the source level.
To illustrate the model, we construct a secure compilation chain for a small
unsafe language with buffers, procedures, and components, targeting a simple
abstract machine with built-in compartmentalization. We give a machine-checked
proof in Coq that this compiler satisfies our secure compilation criterion.
Finally, we show that the protection guarantees offered by the
compartmentalized abstract machine can be achieved at the machine-code level
using either software fault isolation or a tag-based reference monitor.
| cs.CR cs.PL | we propose a new formal criterion for evaluating secure compilation schemes for unsafe languages expressing endtoend security guarantees for software components that may become compromised after encountering undefined behaviorfor example by accessing an array out of bounds our criterion is the first to model dynamic compromise in a system of mutually distrustful components with clearly specified privileges it articulates how each component should be protected from all the othersin particular from components that have encountered undefined behavior and become compromised each component receives secure compilation guaranteesin particular its internal invariants are protected from compromised componentsup to the point when this component itself becomes compromised after which we assume an attacker can take complete control and use this components privileges to attack other components more precisely a secure compilation chain must ensure that a dynamically compromised component cannot break the safety properties of the system at the target level any more than an arbitrary attackercontrolled component with the same interface and privileges but without undefined behaviors already could at the source level to illustrate the model we construct a secure compilation chain for a small unsafe language with buffers procedures and components targeting a simple abstract machine with builtin compartmentalization we give a machinechecked proof in coq that this compiler satisfies our secure compilation criterion finally we show that the protection guarantees offered by the compartmentalized abstract machine can be achieved at the machinecode level using either software fault isolation or a tagbased reference monitor | [['we', 'propose', 'a', 'new', 'formal', 'criterion', 'for', 'evaluating', 'secure', 'compilation', 'schemes', 'for', 'unsafe', 'languages', 'expressing', 'endtoend', 'security', 'guarantees', 'for', 'software', 'components', 'that', 'may', 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1,802.00589 | A Statistical Study of Massive Cluster-Forming Clumps | We report results of the observations of 15 regions in several molecular
lines for a statistical study of massive cluster-forming clumps. We identified
24 clumps based on the C18O (J=1-0) data obtained by the NRO 45 m telescope,
and found that 16 of them are associated with young clusters. The clumps
associated with clusters have a typical mass, radius, and molecular density of
~1 X 10^3 Mo, ~0.5 pc, ~1 X 10^5 cm^-3, respectively. We categorized the clumps
and clusters into four types according to the spatial coincidence of gas and
star density, and discussed their evolutions: Clumps without clusters (Type 1),
clumps showing good correlations with clusters (Type 2), clumps showing poor
correlations with clusters (Type 3), and clusters with no associated clumps
(Type 4). Analyses of the velocity structures and the chemical compositions
imply that the clump + cluster systems should evolve from Type 1 to Type 4. We
found that some of the Type 2 clumps are infalling on the clump-scale to form
clusters at the clump center, which should commonly occur in the beginning of
cluster formation. Interestingly, all of the identified Type 1 clumps are
likely to be older than the Type 2 clumps in terms of chemical compositions,
suggesting that they have been gravitationally stable for a long time possibly
being supported by the strong magnetic field of > 1 mG.Type 1 clumps younger
than the observed Type 2 clumps should be very rare to find because of their
short lifetime.
| astro-ph.GA astro-ph.SR | we report results of the observations of 15 regions in several molecular lines for a statistical study of massive clusterforming clumps we identified 24 clumps based on the c18o j10 data obtained by the nro 45 m telescope and found that 16 of them are associated with young clusters the clumps associated with clusters have a typical mass radius and molecular density of 1 x 103 mo 05 pc 1 x 105 cm3 respectively we categorized the clumps and clusters into four types according to the spatial coincidence of gas and star density and discussed their evolutions clumps without clusters type 1 clumps showing good correlations with clusters type 2 clumps showing poor correlations with clusters type 3 and clusters with no associated clumps type 4 analyses of the velocity structures and the chemical compositions imply that the clump cluster systems should evolve from type 1 to type 4 we found that some of the type 2 clumps are infalling on the clumpscale to form clusters at the clump center which should commonly occur in the beginning of cluster formation interestingly all of the identified type 1 clumps are likely to be older than the type 2 clumps in terms of chemical compositions suggesting that they have been gravitationally stable for a long time possibly being supported by the strong magnetic field of 1 mgtype 1 clumps younger than the observed type 2 clumps should be very rare to find because of their short lifetime | [['we', 'report', 'results', 'of', 'the', 'observations', 'of', '15', 'regions', 'in', 'several', 'molecular', 'lines', 'for', 'a', 'statistical', 'study', 'of', 'massive', 'clusterforming', 'clumps', 'we', 'identified', '24', 'clumps', 'based', 'on', 'the', 'c18o', 'j10', 'data', 'obtained', 'by', 'the', 'nro', '45', 'm', 'telescope', 'and', 'found', 'that', '16', 'of', 'them', 'are', 'associated', 'with', 'young', 'clusters', 'the', 'clumps', 'associated', 'with', 'clusters', 'have', 'a', 'typical', 'mass', 'radius', 'and', 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1,802.0059 | Induced Affine Inflation | Induced gravity, metrical gravity in which gravitational constant arises from
vacuum expectation value of a heavy scalar, is known to suffer from Jordan
frame vs. Einstein frame ambiguity, especially in inflationary dynamics.
Induced gravity in affine geometry, as we show here, leads to an emergent
metric and gravity scale, with no Einstein-Jordan ambiguity. While gravity is
induced by the vacuum expectation value of the scalar field, nonzero vacuum
energy facilitates generation of the metric. Our analysis shows that induced
gravity results in a relatively large tensor-to-scalar ratio in both metrical
and affine gravity setups. However, the fact remains that the induced affine
gravity provides an ambiguity-free framework.
| gr-qc astro-ph.HE hep-ph hep-th | induced gravity metrical gravity in which gravitational constant arises from vacuum expectation value of a heavy scalar is known to suffer from jordan frame vs einstein frame ambiguity especially in inflationary dynamics induced gravity in affine geometry as we show here leads to an emergent metric and gravity scale with no einsteinjordan ambiguity while gravity is induced by the vacuum expectation value of the scalar field nonzero vacuum energy facilitates generation of the metric our analysis shows that induced gravity results in a relatively large tensortoscalar ratio in both metrical and affine gravity setups however the fact remains that the induced affine gravity provides an ambiguityfree framework | [['induced', 'gravity', 'metrical', 'gravity', 'in', 'which', 'gravitational', 'constant', 'arises', 'from', 'vacuum', 'expectation', 'value', 'of', 'a', 'heavy', 'scalar', 'is', 'known', 'to', 'suffer', 'from', 'jordan', 'frame', 'vs', 'einstein', 'frame', 'ambiguity', 'especially', 'in', 'inflationary', 'dynamics', 'induced', 'gravity', 'in', 'affine', 'geometry', 'as', 'we', 'show', 'here', 'leads', 'to', 'an', 'emergent', 'metric', 'and', 'gravity', 'scale', 'with', 'no', 'einsteinjordan', 'ambiguity', 'while', 'gravity', 'is', 'induced', 'by', 'the', 'vacuum', 'expectation', 'value', 'of', 'the', 'scalar', 'field', 'nonzero', 'vacuum', 'energy', 'facilitates', 'generation', 'of', 'the', 'metric', 'our', 'analysis', 'shows', 'that', 'induced', 'gravity', 'results', 'in', 'a', 'relatively', 'large', 'tensortoscalar', 'ratio', 'in', 'both', 'metrical', 'and', 'affine', 'gravity', 'setups', 'however', 'the', 'fact', 'remains', 'that', 'the', 'induced', 'affine', 'gravity', 'provides', 'an', 'ambiguityfree', 'framework']] | [-0.20348693763784995, 0.16804821107990248, -0.0835649795279725, 0.07407684975617052, -0.10202526153396015, -0.15281611463168165, -0.05794258447359621, 0.30133680819977665, -0.23133944147527566, -0.3135920594855447, 0.02554076330662296, -0.21795462127600876, -0.16588854513818693, 0.14209169674899744, -0.12824296468659957, 0.003712479264484109, 0.006949535205472853, 0.06716195352062165, -0.10458470184886916, -0.17526958324885536, 0.37452036459173, 0.10813028235031971, 0.27876213182930215, 0.055954442211539945, 0.13939965627616963, -0.04616635860048374, -0.00457105070578857, 0.1063182562639693, -0.10848775002564125, 0.06537142308933713, 0.20073373710614778, 0.12183748519866267, 0.2231687391960175, -0.36757690804166215, -0.2349497863378759, 0.14003876338725926, 0.06117756495896344, 0.17291794119459342, -0.07805785901461527, -0.30259868664510337, 0.005118323516135461, -0.13543761273080082, -0.11622554912024055, -0.0351149260858509, 0.014257316509148577, -0.1583332658509254, -0.268884857864093, 0.10836258446188451, 0.015052266453749666, 0.01043970692276119, -0.08014472944348633, -0.07681634185713863, -0.022673520636004963, 0.04161335792932137, 0.15379583534009963, 0.11121876172125165, 0.15666929782078837, -0.1828860885803109, -0.09106432406501583, 0.4430092337114789, -0.21081231622010138, -0.2138664809656199, 0.09536262730432447, -0.16843560427671003, -0.0879939999213773, 0.08091863258263078, 0.09027368078339044, 0.11407315864219009, -0.09393511418357631, 0.22010406975255775, 0.026164527151246217, 0.132343886028453, 0.13141380526369142, 0.0758776782792079, 0.31362631180645706, 0.06905616213193286, 0.041981916402457894, 0.10688568713691816, -0.014218025022647648, -0.12532980487655812, -0.37256702004331294, -0.11520354861010597, -0.12282153484128659, 0.09771293920582318, -0.17228674014707132, -0.20075347175316832, 0.3104526860395742, 0.14885164059646358, 0.12698428029120254, 0.07634191491062292, 0.26121330064521214, 0.07894616858776937, 0.05810540331153321, 0.07434870630816043, 0.3676395507216036, 0.13747619872229505, 0.06802895387295181, -0.2786024447713291, -0.03282136319501099, 0.07834286658772241] |
1,802.00591 | Can the quantum spin Hall state of silicene be preserved on substrate | The substrate-induced topological phase transition of silience is a
formidable obstacle for developing silicene-based materials and devices for
compatibility with current electronics by using its topologically protected
dissipationless edge states. First-principles calculations indicate that the
substrate will result in a phase transition from topological nontrivial phase
to trivial phase of silicene, although its Dirac cone is still obvious. The
substrate effect (equivalent to an electric field) annihilates its spin-orbit
coupling effect, the reason why its quantum spin Hall effect (QSHE) of silicene
has not been experimentally observed. Unfortunately, external electric field
seems impossible to recover the QSHE due to the screen effect of substrate. We
here first propose a viable strategy (constructing inverse symmetrical sandwich
structure (protective layer/silicene/substrate)) to preserve quantum spin Hall
(QSH) state of silicene, which is demonstrated by using two representatives
(CeO2(111)/silicene/CeO2(111) and CaF2(111)/silicene/CaF2(111)) through the
calculated edge states and Z2 invariant. This work takes a critical step
towards fundamental physics and realistic applications of silicene-based
nanoelectronic devices.
| physics.comp-ph | the substrateinduced topological phase transition of silience is a formidable obstacle for developing silicenebased materials and devices for compatibility with current electronics by using its topologically protected dissipationless edge states firstprinciples calculations indicate that the substrate will result in a phase transition from topological nontrivial phase to trivial phase of silicene although its dirac cone is still obvious the substrate effect equivalent to an electric field annihilates its spinorbit coupling effect the reason why its quantum spin hall effect qshe of silicene has not been experimentally observed unfortunately external electric field seems impossible to recover the qshe due to the screen effect of substrate we here first propose a viable strategy constructing inverse symmetrical sandwich structure protective layersilicenesubstrate to preserve quantum spin hall qsh state of silicene which is demonstrated by using two representatives ceo2111siliceneceo2111 and caf2111silicenecaf2111 through the calculated edge states and z2 invariant this work takes a critical step towards fundamental physics and realistic applications of silicenebased nanoelectronic devices | [['the', 'substrateinduced', 'topological', 'phase', 'transition', 'of', 'silience', 'is', 'a', 'formidable', 'obstacle', 'for', 'developing', 'silicenebased', 'materials', 'and', 'devices', 'for', 'compatibility', 'with', 'current', 'electronics', 'by', 'using', 'its', 'topologically', 'protected', 'dissipationless', 'edge', 'states', 'firstprinciples', 'calculations', 'indicate', 'that', 'the', 'substrate', 'will', 'result', 'in', 'a', 'phase', 'transition', 'from', 'topological', 'nontrivial', 'phase', 'to', 'trivial', 'phase', 'of', 'silicene', 'although', 'its', 'dirac', 'cone', 'is', 'still', 'obvious', 'the', 'substrate', 'effect', 'equivalent', 'to', 'an', 'electric', 'field', 'annihilates', 'its', 'spinorbit', 'coupling', 'effect', 'the', 'reason', 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1,802.00592 | Energy decay and global smooth solutions for a free boundary
fluid-nonlinear elastic structure interface model with boundary dissipation | We consider a nonlinear, free boundary fluid-structure interaction model in a
bounded domain. The viscous incompressible fluid interacts with a nonlinear
elastic body on the common boundary via the velocity and stress matching
conditions. The motion of the fluid is governed by incompressible Navier-Stokes
equations while the displacement of elastic structure is determined by a
nonlinear elastodynamic system with boundary dissipation. The boundary
dissipation is inserted in the velocity matching condition. We prove the global
existence of the smooth solutions for small initial data and obtain the
exponential decay of the energy of this system as well.
| math.AP | we consider a nonlinear free boundary fluidstructure interaction model in a bounded domain the viscous incompressible fluid interacts with a nonlinear elastic body on the common boundary via the velocity and stress matching conditions the motion of the fluid is governed by incompressible navierstokes equations while the displacement of elastic structure is determined by a nonlinear elastodynamic system with boundary dissipation the boundary dissipation is inserted in the velocity matching condition we prove the global existence of the smooth solutions for small initial data and obtain the exponential decay of the energy of this system as well | [['we', 'consider', 'a', 'nonlinear', 'free', 'boundary', 'fluidstructure', 'interaction', 'model', 'in', 'a', 'bounded', 'domain', 'the', 'viscous', 'incompressible', 'fluid', 'interacts', 'with', 'a', 'nonlinear', 'elastic', 'body', 'on', 'the', 'common', 'boundary', 'via', 'the', 'velocity', 'and', 'stress', 'matching', 'conditions', 'the', 'motion', 'of', 'the', 'fluid', 'is', 'governed', 'by', 'incompressible', 'navierstokes', 'equations', 'while', 'the', 'displacement', 'of', 'elastic', 'structure', 'is', 'determined', 'by', 'a', 'nonlinear', 'elastodynamic', 'system', 'with', 'boundary', 'dissipation', 'the', 'boundary', 'dissipation', 'is', 'inserted', 'in', 'the', 'velocity', 'matching', 'condition', 'we', 'prove', 'the', 'global', 'existence', 'of', 'the', 'smooth', 'solutions', 'for', 'small', 'initial', 'data', 'and', 'obtain', 'the', 'exponential', 'decay', 'of', 'the', 'energy', 'of', 'this', 'system', 'as', 'well']] | [-0.21406815720472447, 0.13322621971349588, -0.08112260475562713, -0.007114159634586462, -0.07898034009189565, -0.11804415607709706, -0.09711776192290421, 0.2658347154093772, -0.34336401168833075, -0.2538682781351903, 0.1369828697121174, -0.24660100083145284, -0.09404422106586166, 0.12576830939908235, -0.021358051721352276, 0.1498563759024111, 0.09818629792785828, 0.03915931327153266, -0.03420172358104556, -0.1303118355188173, 0.3789891388132861, -0.0527523121383694, 0.2614275050954413, 0.044462339232493306, 0.15067931533594298, -0.007770335904236154, 0.02420361633844597, 0.062128596545494706, -0.20143585309347847, 0.07429675194290802, 0.16380308100956098, -0.0246893843592711, 0.2685523016843945, -0.4863913095911446, -0.25607342680090484, 0.03835478731786314, 0.11332383100423463, 0.1035081411486242, -0.023720678393296973, -0.28949701618979273, 0.04647903343345778, -0.1134578714761691, -0.18413632971801094, -0.0026207614411628737, 0.01635799107631457, 0.06869104757998619, -0.30792467556137726, 0.1833151658209636, 0.07268993711679905, 0.04380134169069916, -0.218027777124926, -0.020305016790948732, -0.07396695528361831, 0.07119093809910503, 0.07284380115578239, 0.007200655335387618, 0.11645186630068059, -0.21009268381959306, 0.01651251834538794, 0.4107088095210877, -0.09077283623388287, -0.30564827667447236, 0.20397663379049638, -0.1030442327952262, 0.022389874553557523, 0.1554715341081862, 0.19511906650474237, 0.10111001838411483, -0.16328382122476787, 0.12061212590977204, -0.06240700654080618, 0.14793255422072313, 0.08994753109579234, -0.07990537332274865, 0.15191641705321898, 0.20893179786573982, 0.11008819827291462, 0.17553121600895352, -0.052258227743747276, -0.09368207413203937, -0.38525847524174095, -0.14551842838679394, -0.1839052959892553, 0.043231901131839175, -0.11863928628076088, -0.22434019463463234, 0.35143114805471193, 0.06676854929627524, 0.16501599836844913, 0.04157820766906917, 0.3103692463800772, 0.16231574214510044, 0.008607677313662375, 0.13570983234945067, 0.279475321637985, 0.1592993496619549, 0.13744261293652824, -0.29760738743286697, 0.046536412670939546, 0.13116313250223535] |
1,802.00593 | The time-dependent von K\'arm\'an shell equation as a limit of
three-dimensional nonlinear elasticity | The asymptotic behaviour of solutions of three-dimensional nonlinear
elastodynamics in a thin shell is considered, as the thickness $h$ of the shell
tends to zero. Given the appropriate scalings of the applied force and of the
initial data in terms of $h,$ it's verified that three-dimensional solutions of
the nonlinear elastodynamic equations converge to solutions of the
time-dependent von K\'arm\'an equations or dynamic linear equations for shell
of arbitrary geometry.
| math.AP | the asymptotic behaviour of solutions of threedimensional nonlinear elastodynamics in a thin shell is considered as the thickness h of the shell tends to zero given the appropriate scalings of the applied force and of the initial data in terms of h its verified that threedimensional solutions of the nonlinear elastodynamic equations converge to solutions of the timedependent von karman equations or dynamic linear equations for shell of arbitrary geometry | [['the', 'asymptotic', 'behaviour', 'of', 'solutions', 'of', 'threedimensional', 'nonlinear', 'elastodynamics', 'in', 'a', 'thin', 'shell', 'is', 'considered', 'as', 'the', 'thickness', 'h', 'of', 'the', 'shell', 'tends', 'to', 'zero', 'given', 'the', 'appropriate', 'scalings', 'of', 'the', 'applied', 'force', 'and', 'of', 'the', 'initial', 'data', 'in', 'terms', 'of', 'h', 'its', 'verified', 'that', 'threedimensional', 'solutions', 'of', 'the', 'nonlinear', 'elastodynamic', 'equations', 'converge', 'to', 'solutions', 'of', 'the', 'timedependent', 'von', 'karman', 'equations', 'or', 'dynamic', 'linear', 'equations', 'for', 'shell', 'of', 'arbitrary', 'geometry']] | [-0.13552331993622438, 0.05981834605336189, -0.06426760572940111, 0.026139604701061865, -0.0627184364412512, -0.11376546762351479, -0.0488722301753504, 0.259462620690465, -0.27480168624648027, -0.23595109275941337, 0.1279801973407822, -0.26632879344480376, -0.09272327341937593, 0.14692924887141479, 0.005922609634165253, 0.15753997215651908, 0.04569234418948846, 0.020298494465116945, -0.10152561196175935, -0.17012414172557846, 0.35227636375597543, 0.01108481375766652, 0.28326009375242783, -0.022902981105393596, 0.1197376920725219, -0.04914691440894135, 0.008543195761740207, 0.11249331503308245, -0.20560260624344145, 0.06373092222160527, 0.23779512545359985, 0.034453505550378134, 0.2650345766916871, -0.5150621250537889, -0.211378699368132, 0.01371529224727835, 0.16518004923792823, 0.1160360542192523, 0.012258574067215835, -0.2695008310223264, 0.04904384110788149, -0.14953321696126035, -0.26895796061892596, -0.03235217662129019, 0.07152134799897404, 0.10518846015578934, -0.2881893791233389, 0.11928685804429863, 0.10337928655956473, 0.018856140745005436, -0.17319532446729552, -0.05695177320657032, -0.08588141445070505, 0.085266824395928, 0.08665350476013763, -0.053017667601151126, 0.0877675123712314, -0.16823804153661642, -0.0215666384236621, 0.409102117549628, -0.09302478185189622, -0.29474014027842454, 0.15986764788893718, -0.1296577866189182, 0.027178302902861367, 0.15716020395713193, 0.1629372934345156, 0.1522867201162236, -0.10570634844313775, 0.16842737810470032, -0.05043329654394516, 0.1300468495647822, 0.08950864902830549, -0.06236084627785853, 0.09623069230999265, 0.14063536958502873, 0.044422882136755756, 0.14710900597274304, -0.050966221666229626, -0.11799497839196452, -0.36795966082385606, -0.14687854477337428, -0.1794135644765837, 0.09179853561467358, -0.15732025083665835, -0.28314614836126567, 0.35649979783754265, 0.07514286572113633, 0.12725157495588063, 0.01530181635171175, 0.22178673720253364, 0.1740972593809212, 0.02900900579323726, 0.07848440524456757, 0.2693465115968138, 0.21807128712534904, 0.137128512558203, -0.2953441900500495, 0.017451624884935363, 0.11479442315176129] |
1,802.00594 | Configuration space, moduli space and 3-fold covering space | A function from configuration space to moduli space of surface may induce a
homomorphism between their fundamental groups which are braid groups and
mapping class groups of surface, respectively. This map $\phi: B_k \rightarrow
\Gamma_{g,b}$ is induced by 3-fold branched covering over a disk with some
branch points. In this thesis we give a concrete description of this map and
show that it is injective by Birman-Hilden theory. This gives us a new
interesting non-geometric embedding of braid group into mapping class group. On
the other hand, we show that the map on the level of classifying spaces of
groups is compatible with the action of little 2-cube operad so that it induces
a trivial homomorphim between stable homology group of braid groups and that of
mapping class groups(Harer conjecture). We also show how the lift
$\tilde{\beta_i}$ acts on the fundamental group of the surface and through this
we prove that $\tilde{\beta_i}$ equals the product of two inverse Dehn twists.
| math.AT | a function from configuration space to moduli space of surface may induce a homomorphism between their fundamental groups which are braid groups and mapping class groups of surface respectively this map phi b_k rightarrow gamma_gb is induced by 3fold branched covering over a disk with some branch points in this thesis we give a concrete description of this map and show that it is injective by birmanhilden theory this gives us a new interesting nongeometric embedding of braid group into mapping class group on the other hand we show that the map on the level of classifying spaces of groups is compatible with the action of little 2cube operad so that it induces a trivial homomorphim between stable homology group of braid groups and that of mapping class groupsharer conjecture we also show how the lift tildebeta_i acts on the fundamental group of the surface and through this we prove that tildebeta_i equals the product of two inverse dehn twists | [['a', 'function', 'from', 'configuration', 'space', 'to', 'moduli', 'space', 'of', 'surface', 'may', 'induce', 'a', 'homomorphism', 'between', 'their', 'fundamental', 'groups', 'which', 'are', 'braid', 'groups', 'and', 'mapping', 'class', 'groups', 'of', 'surface', 'respectively', 'this', 'map', 'phi', 'b_k', 'rightarrow', 'gamma_gb', 'is', 'induced', 'by', '3fold', 'branched', 'covering', 'over', 'a', 'disk', 'with', 'some', 'branch', 'points', 'in', 'this', 'thesis', 'we', 'give', 'a', 'concrete', 'description', 'of', 'this', 'map', 'and', 'show', 'that', 'it', 'is', 'injective', 'by', 'birmanhilden', 'theory', 'this', 'gives', 'us', 'a', 'new', 'interesting', 'nongeometric', 'embedding', 'of', 'braid', 'group', 'into', 'mapping', 'class', 'group', 'on', 'the', 'other', 'hand', 'we', 'show', 'that', 'the', 'map', 'on', 'the', 'level', 'of', 'classifying', 'spaces', 'of', 'groups', 'is', 'compatible', 'with', 'the', 'action', 'of', 'little', '2cube', 'operad', 'so', 'that', 'it', 'induces', 'a', 'trivial', 'homomorphim', 'between', 'stable', 'homology', 'group', 'of', 'braid', 'groups', 'and', 'that', 'of', 'mapping', 'class', 'groupsharer', 'conjecture', 'we', 'also', 'show', 'how', 'the', 'lift', 'tildebeta_i', 'acts', 'on', 'the', 'fundamental', 'group', 'of', 'the', 'surface', 'and', 'through', 'this', 'we', 'prove', 'that', 'tildebeta_i', 'equals', 'the', 'product', 'of', 'two', 'inverse', 'dehn', 'twists']] | [-0.16691103274340796, 0.11731693973456314, -0.12446722416444474, 0.04857377526884198, -0.09628474776140729, -0.10610484676494909, 0.054942842607777924, 0.3869749637332502, -0.3510856840319807, -0.25868112671005117, 0.0874095882688038, -0.23388503708507402, -0.21783984207791413, 0.22106000167691403, -0.1263883024347341, -0.09114485562061238, 0.04870010910935368, 0.07427293852944473, -0.11530349299068426, -0.22738974944578638, 0.41692619663099667, -0.04161504216219304, 0.23138400836355366, 0.038565786063054185, 0.11711899217909237, -0.010184152830380258, -0.027755840417519686, -0.004166816373483225, -0.15506852244641106, 0.1489005071484739, 0.2476443985927921, 0.060738180824822394, 0.16279446108527718, -0.34519972376952507, -0.16649115109033172, 0.1903147587944178, 0.09641601702874633, 0.030146532931519303, -0.054902392911878976, -0.27904217401934656, 0.09466313863184991, -0.17476664894040983, -0.0680160599843759, -0.059164794615713084, 0.06070073192440875, -0.022126870573895754, -0.17522465134229345, -0.019690813439057334, 0.0819250799724417, 0.08780160891544667, -0.050132912141715835, -0.07042360356208055, -0.08412173452674393, 0.17119448546284607, 0.03220960934302372, 0.08443305177327133, 0.1301257333119109, -0.11941075012099686, -0.0760919533990276, 0.39254743652121654, -0.0798715737138157, -0.19848476427423348, 0.16051951005526932, -0.17264522844628924, -0.20569779363810825, 0.14120276318566435, 0.09447424148081855, 0.12200043792539769, -0.004919369165210207, 0.17537916547642535, -0.15271887486314129, 0.13499918321123833, 0.06701443941706116, -0.025130743768872917, 0.1664276960666238, 0.11432702040038766, 0.14917591474928069, 0.16362443975370175, -0.006522740173645934, -0.020436737959081852, -0.34852367103289644, -0.23088826982387503, -0.08518498016011183, 0.12394023601365776, -0.08016458615789689, -0.1715544186203272, 0.4012511189801583, 0.06318940962946552, 0.18623413152957133, 0.10595377706136602, 0.19432309979964404, 0.03671717073673465, 0.08021736188767964, 0.032528029843737746, 0.12120175144615121, 0.17065465854403747, -0.09742700355201604, -0.1765180218043132, -0.040572137306414686, 0.20802354639111337] |
1,802.00595 | Least Angle Regression Coarsening in Bootstrap Algebraic Multigrid | The bootstrap algebraic multigrid framework allows for the adaptive
construction of algebraic multigrid methods in situations where geometric
multigrid methods are not known or not available at all. While there has been
some work on adaptive coarsening in this framework in terms of algebraic
distances, coarsening is the part of the adaptive bootstrap setup that is least
developed. In this paper we try to close this gap by introducing an adaptive
coarsening scheme that views interpolation as a local regression problem. In
fact the bootstrap algebraic multigrid setup can be understood as a machine
learning ansatz that learns the nature of smooth error by local regression. In
order to turn this idea into a practical method we modify least squares
interpolation to both avoid overfitting of the data and to recover a sparse
response that can be used to extract information about the coupling strength
amongst variables like in classical algebraic multigrid. In order to improve
the so-found coarse grid we propose a post-processing to ensure stability of
the resulting least squares interpolation operator. We conclude with numerical
experiments that show the viability of the chosen approach.
| math.NA | the bootstrap algebraic multigrid framework allows for the adaptive construction of algebraic multigrid methods in situations where geometric multigrid methods are not known or not available at all while there has been some work on adaptive coarsening in this framework in terms of algebraic distances coarsening is the part of the adaptive bootstrap setup that is least developed in this paper we try to close this gap by introducing an adaptive coarsening scheme that views interpolation as a local regression problem in fact the bootstrap algebraic multigrid setup can be understood as a machine learning ansatz that learns the nature of smooth error by local regression in order to turn this idea into a practical method we modify least squares interpolation to both avoid overfitting of the data and to recover a sparse response that can be used to extract information about the coupling strength amongst variables like in classical algebraic multigrid in order to improve the sofound coarse grid we propose a postprocessing to ensure stability of the resulting least squares interpolation operator we conclude with numerical experiments that show the viability of the chosen approach | [['the', 'bootstrap', 'algebraic', 'multigrid', 'framework', 'allows', 'for', 'the', 'adaptive', 'construction', 'of', 'algebraic', 'multigrid', 'methods', 'in', 'situations', 'where', 'geometric', 'multigrid', 'methods', 'are', 'not', 'known', 'or', 'not', 'available', 'at', 'all', 'while', 'there', 'has', 'been', 'some', 'work', 'on', 'adaptive', 'coarsening', 'in', 'this', 'framework', 'in', 'terms', 'of', 'algebraic', 'distances', 'coarsening', 'is', 'the', 'part', 'of', 'the', 'adaptive', 'bootstrap', 'setup', 'that', 'is', 'least', 'developed', 'in', 'this', 'paper', 'we', 'try', 'to', 'close', 'this', 'gap', 'by', 'introducing', 'an', 'adaptive', 'coarsening', 'scheme', 'that', 'views', 'interpolation', 'as', 'a', 'local', 'regression', 'problem', 'in', 'fact', 'the', 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1,802.00596 | Scattering matrix of arbitrarily shaped objects: Combining Finite
Elements and Vector Partial Waves | We demonstrate the interest of combining Finite Element calculations with the
Vector Partial Wave formulation (used in T-matrix and Mie theory) in order to
characterize the electromagnetic scattering properties of isolated individual
scatterers. This method consists of individually feeding the finite element
problem with incident Vector Partial Waves in order to numerically determine
the T-matrix elements of the scatterer. For a sphere and an ellipsoid, we
demonstrate that this method determines the scattering matrix to high accuracy.
Recurrence relations for a fast determination of the vector partial waves are
given explicitly, and an open-source code allowing the retrieval of the
presented numerical results is provided.
| physics.comp-ph | we demonstrate the interest of combining finite element calculations with the vector partial wave formulation used in tmatrix and mie theory in order to characterize the electromagnetic scattering properties of isolated individual scatterers this method consists of individually feeding the finite element problem with incident vector partial waves in order to numerically determine the tmatrix elements of the scatterer for a sphere and an ellipsoid we demonstrate that this method determines the scattering matrix to high accuracy recurrence relations for a fast determination of the vector partial waves are given explicitly and an opensource code allowing the retrieval of the presented numerical results is provided | [['we', 'demonstrate', 'the', 'interest', 'of', 'combining', 'finite', 'element', 'calculations', 'with', 'the', 'vector', 'partial', 'wave', 'formulation', 'used', 'in', 'tmatrix', 'and', 'mie', 'theory', 'in', 'order', 'to', 'characterize', 'the', 'electromagnetic', 'scattering', 'properties', 'of', 'isolated', 'individual', 'scatterers', 'this', 'method', 'consists', 'of', 'individually', 'feeding', 'the', 'finite', 'element', 'problem', 'with', 'incident', 'vector', 'partial', 'waves', 'in', 'order', 'to', 'numerically', 'determine', 'the', 'tmatrix', 'elements', 'of', 'the', 'scatterer', 'for', 'a', 'sphere', 'and', 'an', 'ellipsoid', 'we', 'demonstrate', 'that', 'this', 'method', 'determines', 'the', 'scattering', 'matrix', 'to', 'high', 'accuracy', 'recurrence', 'relations', 'for', 'a', 'fast', 'determination', 'of', 'the', 'vector', 'partial', 'waves', 'are', 'given', 'explicitly', 'and', 'an', 'opensource', 'code', 'allowing', 'the', 'retrieval', 'of', 'the', 'presented', 'numerical', 'results', 'is', 'provided']] | [-0.13437254594284154, 0.08491283741009067, -0.05534162984140927, 0.026149354789716504, -0.07827133524475531, -0.04824219260896955, 0.008662801319068032, 0.3839994682265179, -0.292097407579422, -0.2435145708421866, 0.05297108885189075, -0.31732330932503655, -0.15399460888334682, 0.16997440154664217, 0.036471522435368525, 0.12516695513789142, 0.052397038049197625, 0.04169313311576843, -0.09099051393346773, -0.2223005201589937, 0.3173466462686303, 0.012291310310718558, 0.2464572988051389, 0.0722699638190014, 0.14423679370610487, 0.08416855026679557, -0.059874110030276435, 0.005819606608045953, -0.1039307532569399, 0.13692951557182131, 0.27861781372422617, 0.11001012344578547, 0.2055089175612444, -0.44941890021520003, -0.1987249854242518, 0.021245023395333972, 0.15390860158506603, 0.1430901660561739, -0.06581669709246074, -0.2718083950247438, 0.1103163453728138, -0.15663889013341672, -0.20158356081339576, -0.08446183478947551, 0.012135471199594792, 0.020860158004576253, -0.3131747140770867, 0.017220313740628105, 0.020848012549270475, 0.027344360973594512, -0.08343376552553049, -0.09716372770212946, 0.018743864105393488, 0.10933403250140449, 0.002278297942220455, -0.019418886773997827, 0.07258683788102298, -0.08723678554053463, -0.06956171341118447, 0.39777179711187877, -0.0890240503541593, -0.2658949976033043, 0.13489070747579848, -0.148537116737238, -0.036909568695617574, 0.17799747199086205, 0.1950073154576655, 0.14918678075607333, -0.13451566786638328, 0.0677041878907143, -0.04753428671849958, 0.1797646209242798, 0.05646358516865543, -0.007562638025376059, 0.17057147132498876, 0.14827321326094015, 0.005467139082472949, 0.12488567068330234, -0.090899496561005, -0.037146362241002776, -0.32017287449645143, -0.1467169596680573, -0.18246494666894986, -0.022663662369346377, -0.1164867350413087, -0.2070469612610482, 0.3752623688429594, 0.1554242292862563, 0.14848247258258718, 0.012834578357814323, 0.3047940499725796, 0.17014800652285061, 0.009304411236995033, 0.059957158534477153, 0.2379630341238919, 0.21223230094515852, 0.037491770292676634, -0.2752739084485386, 0.0027419131304625244, 0.12949430734983514] |
1,802.00597 | Isogeometric spectral approximation for elliptic differential operators | We study the spectral approximation of a second-order elliptic differential
eigenvalue problem that arises from structural vibration problems using
isogeometric analysis. In this paper, we generalize recent work in this
direction. We present optimally blended quadrature rules for the isogeometric
spectral approximation of a diffusion-reaction operator with both Dirichlet and
Neumann boundary conditions. The blended rules improve the accuracy and the
robustness of the isogeometric approximation. In particular, the optimal
blending rules minimize the dispersion error and lead to two extra orders of
super-convergence in the eigenvalue error. Various numerical examples
(including the Schr$\ddot{\text{o}}$dinger operator for quantum mechanics) in
one and three spatial dimensions demonstrate the performance of the blended
rules.
| math.NA | we study the spectral approximation of a secondorder elliptic differential eigenvalue problem that arises from structural vibration problems using isogeometric analysis in this paper we generalize recent work in this direction we present optimally blended quadrature rules for the isogeometric spectral approximation of a diffusionreaction operator with both dirichlet and neumann boundary conditions the blended rules improve the accuracy and the robustness of the isogeometric approximation in particular the optimal blending rules minimize the dispersion error and lead to two extra orders of superconvergence in the eigenvalue error various numerical examples including the schrddottextodinger operator for quantum mechanics in one and three spatial dimensions demonstrate the performance of the blended rules | [['we', 'study', 'the', 'spectral', 'approximation', 'of', 'a', 'secondorder', 'elliptic', 'differential', 'eigenvalue', 'problem', 'that', 'arises', 'from', 'structural', 'vibration', 'problems', 'using', 'isogeometric', 'analysis', 'in', 'this', 'paper', 'we', 'generalize', 'recent', 'work', 'in', 'this', 'direction', 'we', 'present', 'optimally', 'blended', 'quadrature', 'rules', 'for', 'the', 'isogeometric', 'spectral', 'approximation', 'of', 'a', 'diffusionreaction', 'operator', 'with', 'both', 'dirichlet', 'and', 'neumann', 'boundary', 'conditions', 'the', 'blended', 'rules', 'improve', 'the', 'accuracy', 'and', 'the', 'robustness', 'of', 'the', 'isogeometric', 'approximation', 'in', 'particular', 'the', 'optimal', 'blending', 'rules', 'minimize', 'the', 'dispersion', 'error', 'and', 'lead', 'to', 'two', 'extra', 'orders', 'of', 'superconvergence', 'in', 'the', 'eigenvalue', 'error', 'various', 'numerical', 'examples', 'including', 'the', 'schrddottextodinger', 'operator', 'for', 'quantum', 'mechanics', 'in', 'one', 'and', 'three', 'spatial', 'dimensions', 'demonstrate', 'the', 'performance', 'of', 'the', 'blended', 'rules']] | [-0.09112258551659079, -0.010192383139452955, -0.08102472563618207, 0.05952836966418938, -0.08446716693196413, -0.11240967353889803, 0.05078569548896741, 0.3747806369079495, -0.2787183888701235, -0.244576082925673, 0.1248826966526591, -0.2834928664672482, -0.16136672379667158, 0.13066039172311625, -0.10290468342367325, 0.1669296623466679, 0.10293212770442436, -0.010843240198687659, -0.11020353090999699, -0.21892140112787922, 0.370973573947275, -0.00783841514662076, 0.2753908141507759, 0.061642224720033174, 0.0746416469473761, -0.024560143013258238, -0.04913091896152174, 0.030361420156115346, -0.10697119157408157, 0.17413289793284592, 0.2874036139057664, 0.055835671646327516, 0.32600702890740324, -0.3967838961429693, -0.22146328922931677, 0.08518922724970826, 0.14690776630136948, 0.09168552350554918, -0.0019626451618466024, -0.24700954010257045, 0.05309535486430668, -0.12461634854542779, -0.14191851023215432, -0.09688966419035988, -0.09898490159822679, 0.034921438742622, -0.3119807429443877, 0.12314543696875507, 0.09866518015880976, 0.0890559030965239, -0.08904482973823408, -0.16667655519805513, 0.04729092250649423, 0.07716507873254584, 0.012184204865112767, -0.05448660129253324, 0.036793579265101906, -0.08627910229486523, -0.12621721165959496, 0.3892046301415912, -0.036678821470395466, -0.2702328645213096, 0.10047108861240181, -0.09122064514169553, -0.12767940089274366, 0.10952061962185276, 0.19504777619799785, 0.1578222338009525, -0.12924872420996697, 0.08738689179750378, 0.022645533480261965, 0.16164435959328805, 0.10076618181155608, 0.01670300331321201, 0.07025997823750314, 0.13623492668701653, 0.08226365684154066, 0.15956793412532624, -0.08683740289940557, -0.1308796661528381, -0.3308747902613234, -0.15190372700375077, -0.1418868104302165, -0.012166072634417933, -0.16345278709772387, -0.20120955928153283, 0.4136052292222073, 0.17855063061909499, 0.14116482227843524, 0.04494090078750978, 0.30386744379086905, 0.18353446380881308, 0.008830411930207734, 0.05080475390527968, 0.2520267866921049, 0.17140460431340848, 0.1063892423009567, -0.3045508955408156, -0.015397310406934504, 0.15096180111396354] |
1,802.00598 | Mechanical responses of two-dimensional MoTe2; pristine 2H, 1T and 1T'
and 1T'/2H heterostructure | Transition metal dichalcogenides (TMD) are currently among the most
interesting two-dimensional (2D) materials due to their outstanding properties.
MoTe2 involves attractive polymorphic TMD crystals which can exist in three
different 2D atomic lattices of 2H, 1T and 1T', with diverse properties, like
semiconducting and metallic electronic characters. Using the polymorphic
heteroepitaxy, most recently coplanar semiconductor/metal (2H/1T') few-layer
MoTe2 heterostructures were experimentally synthesized, highly promising to
build circuit components for next generation nanoelectronics. Motivated by the
recent experimental advances, we conducted first-principles calculations to
explore the mechanical properties of single-layer MoTe2 structures. We first
studied the mechanical responses of pristine and single-layer 2H-, 1T- and
1T'-MoTe2. In these cases we particularly analyzed the possibility of
engineering of the electronic properties of these attractive 2D structures
using the biaxial or uniaxial tensile loadings. Finally, the mechanical-failure
responses of 1T'/2H-MoTe2 heterostructure were explored, which confirms the
remarkable strength of this novel 2D system.
| physics.comp-ph cond-mat.mes-hall | transition metal dichalcogenides tmd are currently among the most interesting twodimensional 2d materials due to their outstanding properties mote2 involves attractive polymorphic tmd crystals which can exist in three different 2d atomic lattices of 2h 1t and 1t with diverse properties like semiconducting and metallic electronic characters using the polymorphic heteroepitaxy most recently coplanar semiconductormetal 2h1t fewlayer mote2 heterostructures were experimentally synthesized highly promising to build circuit components for next generation nanoelectronics motivated by the recent experimental advances we conducted firstprinciples calculations to explore the mechanical properties of singlelayer mote2 structures we first studied the mechanical responses of pristine and singlelayer 2h 1t and 1tmote2 in these cases we particularly analyzed the possibility of engineering of the electronic properties of these attractive 2d structures using the biaxial or uniaxial tensile loadings finally the mechanicalfailure responses of 1t2hmote2 heterostructure were explored which confirms the remarkable strength of this novel 2d system | [['transition', 'metal', 'dichalcogenides', 'tmd', 'are', 'currently', 'among', 'the', 'most', 'interesting', 'twodimensional', '2d', 'materials', 'due', 'to', 'their', 'outstanding', 'properties', 'mote2', 'involves', 'attractive', 'polymorphic', 'tmd', 'crystals', 'which', 'can', 'exist', 'in', 'three', 'different', '2d', 'atomic', 'lattices', 'of', '2h', '1t', 'and', '1t', 'with', 'diverse', 'properties', 'like', 'semiconducting', 'and', 'metallic', 'electronic', 'characters', 'using', 'the', 'polymorphic', 'heteroepitaxy', 'most', 'recently', 'coplanar', 'semiconductormetal', '2h1t', 'fewlayer', 'mote2', 'heterostructures', 'were', 'experimentally', 'synthesized', 'highly', 'promising', 'to', 'build', 'circuit', 'components', 'for', 'next', 'generation', 'nanoelectronics', 'motivated', 'by', 'the', 'recent', 'experimental', 'advances', 'we', 'conducted', 'firstprinciples', 'calculations', 'to', 'explore', 'the', 'mechanical', 'properties', 'of', 'singlelayer', 'mote2', 'structures', 'we', 'first', 'studied', 'the', 'mechanical', 'responses', 'of', 'pristine', 'and', 'singlelayer', '2h', '1t', 'and', '1tmote2', 'in', 'these', 'cases', 'we', 'particularly', 'analyzed', 'the', 'possibility', 'of', 'engineering', 'of', 'the', 'electronic', 'properties', 'of', 'these', 'attractive', '2d', 'structures', 'using', 'the', 'biaxial', 'or', 'uniaxial', 'tensile', 'loadings', 'finally', 'the', 'mechanicalfailure', 'responses', 'of', '1t2hmote2', 'heterostructure', 'were', 'explored', 'which', 'confirms', 'the', 'remarkable', 'strength', 'of', 'this', 'novel', '2d', 'system']] | [-0.1360999481544855, 0.14846910461278026, 0.014124722801121557, -0.03542280704769419, -0.04384649095496767, -0.18973951336827027, 0.0685551455244422, 0.4860699303649567, -0.2715278334044096, -0.2597048180166009, -0.01495618121289472, -0.3132369700800376, -0.24386109475115617, 0.1986509521233824, 0.08893326701237694, 0.1536195468666552, -0.03369029731854696, -0.16769103354906562, -0.1551048969849944, -0.21994030684849397, 0.25205304924826566, 0.019014230238099117, 0.3943818128145476, 0.0256195628002437, 0.002483935164589737, -0.03306689658328085, 0.13823233189917095, 0.024199536576091033, -0.20095304522436816, 0.13213489165944928, 0.26756036913060155, -0.11678804457816924, 0.2197538563585211, -0.5024905222140856, -0.21134497730590002, -0.03764327164154147, 0.09345889475190307, 0.1379308791160961, -0.13126561412826884, -0.2775528362222217, 0.11536019929366917, -0.13336590634709275, -0.07567849495083194, -0.16711555358425184, -0.002244710160822079, 0.030600399143499876, -0.15440479110898073, 0.050704172640925624, 0.017995065638191393, 0.06159881593314797, -0.10117251116379693, -0.19629164483174807, -0.07388507045421598, 0.0778739933448378, 0.029892707488977828, -0.03553299165434657, 0.19513544367549224, -0.15650786214501825, -0.1293216207177957, 0.45488556985416123, 0.013868491448119056, -0.03114491466043841, 0.23134701534778485, -0.14500527354303394, -0.12311079604016315, 0.10703568643500172, 0.12915402677026577, 0.10615453685199641, -0.1586972827003715, 0.051341700787668594, -0.0003332702367884308, 0.15645223036030861, 0.08473850121860065, 0.12319687796784942, 0.24571206669222462, 0.2362537601729855, -0.08555259538553474, 0.16799031129748737, -0.08007652563911334, 0.018348487007519784, -0.1375746661230821, -0.22531111277419621, -0.20825572500974443, 0.0942529996768949, -0.06742093987673256, -0.24216688446058715, 0.43082078124673384, 0.11760758388649069, 0.13442630944395992, -0.09423866916945003, 0.20856156142592128, 0.023510062595124583, 0.09384389831590138, -0.05120025249984669, 0.3010757832498466, 0.14546682855359758, 0.08542344526928924, -0.20318912897719937, 0.0884008652481842, -0.026046640302583173] |
1,802.00599 | Compression of CEP-stable multi-mJ laser pulses down to 4 fs in long
hollow fibers | Carrier envelope phase stable 4 fs near-IR pulses with 3 mJ energy were
generated by spectral broadening of circularly polarized 8 mJ pulses in a
differentially pumped 2 m long composite stretched exible hollow ber. The
pulses were characterized using both second-harmonic generation
frequency-resolved optical gating (SHG-FROG) and SHG d-scan methods
| physics.optics | carrier envelope phase stable 4 fs nearir pulses with 3 mj energy were generated by spectral broadening of circularly polarized 8 mj pulses in a differentially pumped 2 m long composite stretched exible hollow ber the pulses were characterized using both secondharmonic generation frequencyresolved optical gating shgfrog and shg dscan methods | [['carrier', 'envelope', 'phase', 'stable', '4', 'fs', 'nearir', 'pulses', 'with', '3', 'mj', 'energy', 'were', 'generated', 'by', 'spectral', 'broadening', 'of', 'circularly', 'polarized', '8', 'mj', 'pulses', 'in', 'a', 'differentially', 'pumped', '2', 'm', 'long', 'composite', 'stretched', 'exible', 'hollow', 'ber', 'the', 'pulses', 'were', 'characterized', 'using', 'both', 'secondharmonic', 'generation', 'frequencyresolved', 'optical', 'gating', 'shgfrog', 'and', 'shg', 'dscan', 'methods']] | [-0.154391518086195, 0.2509322703629732, -0.019263448687270285, 0.020730465948581696, 0.046869252417236565, -0.2179575686622411, 0.02183382971677929, 0.6304382416605949, -0.20536458883434533, -0.2834181388840079, 0.01586478969780728, -0.25554180845618246, -0.028195406990125776, 0.25674155516549946, 0.002502108700573444, 0.05816601663827896, -0.0014477830193936824, -0.1598239349387586, -0.021444298308342696, -0.1886719273030758, 0.1792270800098777, 0.035353814344853164, 0.2872427579364739, -0.03636429093778133, 0.07879185345955193, 0.005231243907473981, 0.02379779325798154, -0.18096177607774735, -0.10927705815527589, 0.10704750998411328, 0.21430583334993572, -0.0531397251971066, 0.18699827446602285, -0.3858133590221405, -0.2546949642151594, -0.008693014548625796, 0.12645473977550864, 0.044069986371323464, -0.1016875938884914, -0.25335418943315746, 0.07856311440467835, -0.15562022455967964, -0.09423200544901192, -0.023596042320132255, 0.00435963197844103, 0.1477157260943204, -0.27183101206086574, 0.054191182067152115, 0.054218067452311516, 0.12983817931264638, -0.06829509934410453, -0.06050971649587154, -0.10586749451234936, -0.04294999928213656, -0.0671215882897377, 0.08095718840137124, 0.19005872076260857, -0.0937095276452601, -0.09193607576191426, 0.2701038594171405, -0.19759981285780667, -0.010150163713842631, 0.061161805307492614, -0.21475565613247455, 0.0816734060831368, 0.34224700581282375, 0.06534949539229273, 0.20298709031194448, -0.1053198772855103, -0.05083971852553077, 0.0532934342790395, 0.3424191765487194, 0.31756021982058885, 0.09652177484706044, 0.2651507444307208, 0.18183519331738351, -0.03070309242233634, 0.1255512583255768, -0.21589518904685975, 0.03850068412721157, -0.17317652594298125, -0.03545479184016585, -0.1988235566392541, 0.13765560925006867, -0.025016000671021176, -0.035340169221162794, 0.4642902648448944, -0.022263377979397772, 0.06411379077471793, -0.008746242988854647, 0.3169131360948086, 0.14846643240191043, 0.026018471205607057, 0.06789551086723805, 0.23700998947024346, 0.23678534829523415, 0.1515809128433466, -0.24697803504765034, -0.08862272701226175, -0.03494017275515944] |
1,802.006 | Interaction of Charged Colloidal Particles at the Air-Water Interface | We study, using Monte Carlo simulations, the interaction between charged
colloidal particles confined to the air-water interface. The dependence of
force on ionic strength and counterion valence is explored. For 1:1
electrolyte, we find that the electrostatic interaction at the interface is
very close to the one observed in the bulk. On the other hand, for salts with
multivalent counterions, an interface produces an enhanced attraction between
like charged colloids. Finally, we explore the effect of induced surface charge
at the air-water interface on the interaction between colloidal particles.
| cond-mat.soft | we study using monte carlo simulations the interaction between charged colloidal particles confined to the airwater interface the dependence of force on ionic strength and counterion valence is explored for 11 electrolyte we find that the electrostatic interaction at the interface is very close to the one observed in the bulk on the other hand for salts with multivalent counterions an interface produces an enhanced attraction between like charged colloids finally we explore the effect of induced surface charge at the airwater interface on the interaction between colloidal particles | [['we', 'study', 'using', 'monte', 'carlo', 'simulations', 'the', 'interaction', 'between', 'charged', 'colloidal', 'particles', 'confined', 'to', 'the', 'airwater', 'interface', 'the', 'dependence', 'of', 'force', 'on', 'ionic', 'strength', 'and', 'counterion', 'valence', 'is', 'explored', 'for', '11', 'electrolyte', 'we', 'find', 'that', 'the', 'electrostatic', 'interaction', 'at', 'the', 'interface', 'is', 'very', 'close', 'to', 'the', 'one', 'observed', 'in', 'the', 'bulk', 'on', 'the', 'other', 'hand', 'for', 'salts', 'with', 'multivalent', 'counterions', 'an', 'interface', 'produces', 'an', 'enhanced', 'attraction', 'between', 'like', 'charged', 'colloids', 'finally', 'we', 'explore', 'the', 'effect', 'of', 'induced', 'surface', 'charge', 'at', 'the', 'airwater', 'interface', 'on', 'the', 'interaction', 'between', 'colloidal', 'particles']] | [-0.12366434530187607, 0.21818544443865473, -0.05524376167894833, 0.04957783006895543, 0.026517739770620056, -0.18296915100196773, 0.0012879799423592814, 0.4102206070792307, -0.24269600058748816, -0.32845638644243225, -0.07136702235249195, -0.3689480599727524, -0.11498073171667253, 0.10490836342273469, 0.08512828698685246, -0.04386323706634092, -0.005341783898432603, -0.03438775357528684, -0.04339947809695444, -0.10770100424735901, 0.26890286625352466, 0.06192657737103238, 0.2559586070017533, 0.23623707310788417, 0.07974716490448526, 0.044858583061448354, 0.09755720486969091, 0.06463107729351587, -0.22488927513433246, 0.08121275307422274, 0.1852089968618539, -0.12091226183307054, 0.18458711831526978, -0.5111287974051377, -0.16705883452354858, 0.05227807653398159, 0.130112333830153, 0.15444787123026013, -0.19309823883545657, -0.28842361455553034, 0.004490381734592192, -0.12188490159977018, -0.1189364326393148, 0.012325590042125308, 0.015546181856581335, 0.07987800225605036, -0.2568645010587205, 0.11610230294924774, -0.005573649116362748, 0.08352267973417982, -0.11247076162691699, -0.10338345201152345, -0.09753418753572395, 0.09847245988661026, 0.12609840291578406, 0.013535411243609498, 0.2930584083143831, -0.14509146499481534, -0.024401687943700994, 0.3573873159214017, -0.06987120212236252, -0.23495461353299657, 0.3292531262654183, -0.16197302030776156, -0.0340316342189908, 0.18663557957899704, 0.1634696467329612, 0.11644375389389526, -0.15806646533101126, 0.07013259915925374, -0.009866091485522437, 0.20806167290409963, 0.06936974350488588, -0.06761759247897674, 0.27675618783811506, 0.21823280786551283, 0.021243787674086818, 0.20850777791438918, -0.13007617457979098, -0.13525320977767866, -0.2102608560490307, -0.2293914093667369, -0.22054499695391466, -0.05311338926843378, -0.12032992766860721, -0.20891142120124417, 0.30610687312868873, 0.15394791783869602, 0.1166946025083909, -0.022511424038956843, 0.2292347854484668, 0.012872928157030197, 0.032818398595358546, 0.011741604624588169, 0.29939488945476544, 0.09620064576522688, 0.12090250459928693, -0.32328651833944444, 0.07466870805070724, 0.09749666281211912] |
1,802.00601 | Potential energy surfaces of the low-lying electronic states of the Li +
LiCs system | Ab initio quantum chemistry calculations are performed for the mixed alkali
triatomic system. Global minima of the ground and first excited doublet states
of the trimer are found and Born-Oppenheimer potential energy surfaces of the
Li atom interacting with the LiCs molecule were calculated for these states.
The lithium atom is placed at various distances and bond angles from the
lithium-caesium dimer. Three-body nonadditive forces of the Li$_2$Cs molecule
in the global minimum are investigated. Dimer-atom interactions are found to be
strongly attractive and may be important in the experiments, particularly
involving cold alkali polar dimers.
| physics.chem-ph | ab initio quantum chemistry calculations are performed for the mixed alkali triatomic system global minima of the ground and first excited doublet states of the trimer are found and bornoppenheimer potential energy surfaces of the li atom interacting with the lics molecule were calculated for these states the lithium atom is placed at various distances and bond angles from the lithiumcaesium dimer threebody nonadditive forces of the li_2cs molecule in the global minimum are investigated dimeratom interactions are found to be strongly attractive and may be important in the experiments particularly involving cold alkali polar dimers | [['ab', 'initio', 'quantum', 'chemistry', 'calculations', 'are', 'performed', 'for', 'the', 'mixed', 'alkali', 'triatomic', 'system', 'global', 'minima', 'of', 'the', 'ground', 'and', 'first', 'excited', 'doublet', 'states', 'of', 'the', 'trimer', 'are', 'found', 'and', 'bornoppenheimer', 'potential', 'energy', 'surfaces', 'of', 'the', 'li', 'atom', 'interacting', 'with', 'the', 'lics', 'molecule', 'were', 'calculated', 'for', 'these', 'states', 'the', 'lithium', 'atom', 'is', 'placed', 'at', 'various', 'distances', 'and', 'bond', 'angles', 'from', 'the', 'lithiumcaesium', 'dimer', 'threebody', 'nonadditive', 'forces', 'of', 'the', 'li_2cs', 'molecule', 'in', 'the', 'global', 'minimum', 'are', 'investigated', 'dimeratom', 'interactions', 'are', 'found', 'to', 'be', 'strongly', 'attractive', 'and', 'may', 'be', 'important', 'in', 'the', 'experiments', 'particularly', 'involving', 'cold', 'alkali', 'polar', 'dimers']] | [-0.13886811408868177, 0.22516213443893146, -0.015200052869213904, 0.08151466141459829, 0.09326026143823216, -0.2080288568333267, 0.0338167960661404, 0.4093689302037014, -0.23736540067623904, -0.28924902386844475, -0.020576711501331724, -0.3382443724487452, -0.05298816327976578, 0.09923477685623901, 0.11336608758156604, 0.06507633705227141, 0.08154135425773232, 0.010822378381333769, -0.035878965700481165, -0.21540295670026952, 0.27593597546566595, 0.06140096796592301, 0.1676129700933048, 0.1471545707553308, -0.024620395976098927, -0.038655314589553375, 0.11864189681240377, -0.051997537551289226, -0.14258865118423042, 0.17603638237515623, 0.2641759916664438, -0.035948873586714905, 0.1528158123268092, -0.5284403522122414, -0.19103348288843605, 0.06009142658613781, 0.11055408995053632, 0.2102881724242755, -0.055654406794928946, -0.31378423771325575, -0.07823038446974565, -0.1205181618830427, -0.13923575923322362, -0.10270021804311175, 0.04757076745575413, 0.08238907119363269, -0.2442839494113751, 0.08635151768945395, -0.04206802986284837, 0.09627608994715241, -0.13545082823591345, -0.23607273028663142, -0.08893110505503385, 0.059756886191725575, -0.03941687927928139, 0.015160006183655338, 0.18972697646971395, -0.0954806494942688, -0.07890922143223121, 0.4696189414789068, -0.08117896516341716, -0.11260977444397484, 0.2267301814392843, -0.11196279697655205, -0.10453289005152405, 0.1594792322225948, 0.08819918669859304, 0.1157817300805386, -0.1431920598459212, 0.07714749851382952, -0.018076984627925334, 0.14249477426253973, 0.1063115577822789, 0.047814426854490596, 0.23893941119511394, 0.11134206344363616, 0.009577405163423812, 0.13266135438375096, -0.14307339736285243, -0.20124621456488967, -0.21186746938272993, -0.1688038025254463, -0.21959485018506963, -0.031134152695774398, 0.0001996378593909693, -0.1316190195577021, 0.33453277577745155, 0.022867476960218094, 0.11161904908379817, -0.09900467775692727, 0.20415101475280492, 0.07100848995020335, 0.027430336910022543, -0.007141118043132047, 0.3371682199352282, 0.16485016815552606, -0.021165138775262327, -0.32265015351932813, 0.06432960119019164, 0.02894230413825271] |
1,802.00602 | Approximating smooth, multivariate functions on irregular domains | In this paper, we introduce a method known as polynomial frame approximation
for approximating smooth, multivariate functions defined on irregular domains
in $d$ dimensions, where $d$ can be arbitrary. This method is simple, and
relies only on orthogonal polynomials on a bounding tensor-product domain. In
particular, the domain of the function need not be known in advance. When
restricted to a subdomain, an orthonormal basis is no longer a basis, but a
frame. Numerical computations with frames present potential difficulties, due
to the near-linear dependence of the truncated approximation system.
Nevertheless, well-conditioned approximations can be obtained via
regularization, for instance, truncated singular value decompositions. We
comprehensively analyze such approximations in this paper, providing error
estimates for functions with both classical and mixed Sobolev regularity, with
the latter being particularly suitable for higher-dimensional problems. We also
analyze the sample complexity of the approximation for sample points chosen
randomly according to a probability measure, providing estimates in terms of
the corresponding \textit{Nikolskii inequality} for the domain. In particular,
we show that the sample complexity for points drawn from the uniform measure is
quadratic (up to a log factor) in the dimension of the polynomial space,
independently of $d$, for a large class of nontrivial domains. This extends a
well-known result for polynomial approximation in hypercubes.
| math.NA cs.NA | in this paper we introduce a method known as polynomial frame approximation for approximating smooth multivariate functions defined on irregular domains in d dimensions where d can be arbitrary this method is simple and relies only on orthogonal polynomials on a bounding tensorproduct domain in particular the domain of the function need not be known in advance when restricted to a subdomain an orthonormal basis is no longer a basis but a frame numerical computations with frames present potential difficulties due to the nearlinear dependence of the truncated approximation system nevertheless wellconditioned approximations can be obtained via regularization for instance truncated singular value decompositions we comprehensively analyze such approximations in this paper providing error estimates for functions with both classical and mixed sobolev regularity with the latter being particularly suitable for higherdimensional problems we also analyze the sample complexity of the approximation for sample points chosen randomly according to a probability measure providing estimates in terms of the corresponding textitnikolskii inequality for the domain in particular we show that the sample complexity for points drawn from the uniform measure is quadratic up to a log factor in the dimension of the polynomial space independently of d for a large class of nontrivial domains this extends a wellknown result for polynomial approximation in hypercubes | [['in', 'this', 'paper', 'we', 'introduce', 'a', 'method', 'known', 'as', 'polynomial', 'frame', 'approximation', 'for', 'approximating', 'smooth', 'multivariate', 'functions', 'defined', 'on', 'irregular', 'domains', 'in', 'd', 'dimensions', 'where', 'd', 'can', 'be', 'arbitrary', 'this', 'method', 'is', 'simple', 'and', 'relies', 'only', 'on', 'orthogonal', 'polynomials', 'on', 'a', 'bounding', 'tensorproduct', 'domain', 'in', 'particular', 'the', 'domain', 'of', 'the', 'function', 'need', 'not', 'be', 'known', 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1,802.00603 | Explainable Software Analytics | Software analytics has been the subject of considerable recent attention but
is yet to receive significant industry traction. One of the key reasons is that
software practitioners are reluctant to trust predictions produced by the
analytics machinery without understanding the rationale for those predictions.
While complex models such as deep learning and ensemble methods improve
predictive performance, they have limited explainability. In this paper, we
argue that making software analytics models explainable to software
practitioners is as \emph{important} as achieving accurate predictions.
Explainability should therefore be a key measure for evaluating software
analytics models. We envision that explainability will be a key driver for
developing software analytics models that are useful in practice. We outline a
research roadmap for this space, building on social science, explainable
artificial intelligence and software engineering.
| cs.SE | software analytics has been the subject of considerable recent attention but is yet to receive significant industry traction one of the key reasons is that software practitioners are reluctant to trust predictions produced by the analytics machinery without understanding the rationale for those predictions while complex models such as deep learning and ensemble methods improve predictive performance they have limited explainability in this paper we argue that making software analytics models explainable to software practitioners is as emphimportant as achieving accurate predictions explainability should therefore be a key measure for evaluating software analytics models we envision that explainability will be a key driver for developing software analytics models that are useful in practice we outline a research roadmap for this space building on social science explainable artificial intelligence and software engineering | [['software', 'analytics', 'has', 'been', 'the', 'subject', 'of', 'considerable', 'recent', 'attention', 'but', 'is', 'yet', 'to', 'receive', 'significant', 'industry', 'traction', 'one', 'of', 'the', 'key', 'reasons', 'is', 'that', 'software', 'practitioners', 'are', 'reluctant', 'to', 'trust', 'predictions', 'produced', 'by', 'the', 'analytics', 'machinery', 'without', 'understanding', 'the', 'rationale', 'for', 'those', 'predictions', 'while', 'complex', 'models', 'such', 'as', 'deep', 'learning', 'and', 'ensemble', 'methods', 'improve', 'predictive', 'performance', 'they', 'have', 'limited', 'explainability', 'in', 'this', 'paper', 'we', 'argue', 'that', 'making', 'software', 'analytics', 'models', 'explainable', 'to', 'software', 'practitioners', 'is', 'as', 'emphimportant', 'as', 'achieving', 'accurate', 'predictions', 'explainability', 'should', 'therefore', 'be', 'a', 'key', 'measure', 'for', 'evaluating', 'software', 'analytics', 'models', 'we', 'envision', 'that', 'explainability', 'will', 'be', 'a', 'key', 'driver', 'for', 'developing', 'software', 'analytics', 'models', 'that', 'are', 'useful', 'in', 'practice', 'we', 'outline', 'a', 'research', 'roadmap', 'for', 'this', 'space', 'building', 'on', 'social', 'science', 'explainable', 'artificial', 'intelligence', 'and', 'software', 'engineering']] | [-0.02305179377480482, 0.027833843974468225, -0.09002154571219133, 0.0927758006996905, -0.17245016569056762, -0.207750739565549, -0.004820881123976925, 0.4585807554423809, -0.216818088085319, -0.34609392437224207, 0.12198877067432756, -0.2728174574529895, -0.22035369940746863, 0.2475591470742634, -0.15144370979486177, 0.10795496098983746, 0.13033654305080955, -0.01657560386050206, -0.01056306179200944, -0.29023635816008136, 0.2577276456456345, 0.11184256100968923, 0.3708748976986569, 0.09774046920311566, -0.0008880003964385161, -0.051394965037560233, -0.0676142885725802, -0.011639730880583206, -0.1005626907059475, 0.22815720992735944, 0.4276259611840942, 0.2741591145338204, 0.43281360142506087, -0.42141870918656843, -0.24537590965628625, 0.10197526363011163, 0.18189807783525724, 0.09517042965520746, -0.07199107307734756, -0.2720624413771125, 0.08557363064028323, -0.22901274897158147, -0.10348186278357528, -0.1969756560686689, 0.01700025741369105, -0.011689029592805758, -0.22675706124909295, -0.07536774727497966, 0.05920607879793701, 0.12544227391839602, 0.01117017370594952, -0.14538713748065324, 0.02642230776210244, 0.21054172760341316, 0.06615394798304455, 0.07869123102237399, 0.16629389131289476, -0.20521599048963532, -0.15831520274424782, 0.3935584105264682, 0.018472422251047997, -0.16017501856236216, 0.19172635359797052, -0.005767157044745265, -0.23589376277791765, 0.032282570972501375, 0.26528169112593436, -0.00286704324188087, -0.21447420585900545, 0.05165555033599958, 0.06374946801135173, 0.1729826593090995, -0.027711770282341883, -0.010968807083554567, 0.2739610399853868, 0.27641774274122255, 0.014225648234311777, 0.027305344839204247, 0.04634700126838512, -0.103381598701414, -0.20019742207458385, -0.15666841864306033, -0.1325259189802007, 0.009091848025743204, -0.07066170814281438, -0.14553724862635137, 0.3393690287744483, 0.27886787359244547, 0.0961735419033525, 0.02375971892884431, 0.38831261167875847, 0.050178867905364875, 0.11668081491952761, 0.10364360303904574, 0.2136029997267402, -0.007046382134565367, 0.1692814758978784, -0.08083518809782198, 0.15951141114794434, -0.027316780914910712] |
1,802.00604 | Monaural Speech Enhancement using Deep Neural Networks by Maximizing a
Short-Time Objective Intelligibility Measure | In this paper we propose a Deep Neural Network (DNN) based Speech Enhancement
(SE) system that is designed to maximize an approximation of the Short-Time
Objective Intelligibility (STOI) measure. We formalize an approximate-STOI cost
function and derive analytical expressions for the gradients required for DNN
training and show that these gradients have desirable properties when used
together with gradient based optimization techniques. We show through
simulation experiments that the proposed SE system achieves large improvements
in estimated speech intelligibility, when tested on matched and unmatched
natural noise types, at multiple signal-to-noise ratios. Furthermore, we show
that the SE system, when trained using an approximate-STOI cost function
performs on par with a system trained with a mean square error cost applied to
short-time temporal envelopes. Finally, we show that the proposed SE system
performs on par with a traditional DNN based Short-Time Spectral Amplitude
(STSA) SE system in terms of estimated speech intelligibility. These results
are important because they suggest that traditional DNN based STSA SE systems
might be optimal in terms of estimated speech intelligibility.
| cs.SD eess.AS | in this paper we propose a deep neural network dnn based speech enhancement se system that is designed to maximize an approximation of the shorttime objective intelligibility stoi measure we formalize an approximatestoi cost function and derive analytical expressions for the gradients required for dnn training and show that these gradients have desirable properties when used together with gradient based optimization techniques we show through simulation experiments that the proposed se system achieves large improvements in estimated speech intelligibility when tested on matched and unmatched natural noise types at multiple signaltonoise ratios furthermore we show that the se system when trained using an approximatestoi cost function performs on par with a system trained with a mean square error cost applied to shorttime temporal envelopes finally we show that the proposed se system performs on par with a traditional dnn based shorttime spectral amplitude stsa se system in terms of estimated speech intelligibility these results are important because they suggest that traditional dnn based stsa se systems might be optimal in terms of estimated speech intelligibility | [['in', 'this', 'paper', 'we', 'propose', 'a', 'deep', 'neural', 'network', 'dnn', 'based', 'speech', 'enhancement', 'se', 'system', 'that', 'is', 'designed', 'to', 'maximize', 'an', 'approximation', 'of', 'the', 'shorttime', 'objective', 'intelligibility', 'stoi', 'measure', 'we', 'formalize', 'an', 'approximatestoi', 'cost', 'function', 'and', 'derive', 'analytical', 'expressions', 'for', 'the', 'gradients', 'required', 'for', 'dnn', 'training', 'and', 'show', 'that', 'these', 'gradients', 'have', 'desirable', 'properties', 'when', 'used', 'together', 'with', 'gradient', 'based', 'optimization', 'techniques', 'we', 'show', 'through', 'simulation', 'experiments', 'that', 'the', 'proposed', 'se', 'system', 'achieves', 'large', 'improvements', 'in', 'estimated', 'speech', 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1,802.00605 | Discriminants of classical quasi-orthogonal polynomials, with
combinatorial and number-theoretic applications | We derive explicit formulas for the resultants and discriminants of classical
quasi-orthogonal polynomials, as a full generalization of the results of
Dilcher and Stolarsky (2005) and Gishe and Ismail (2008). We consider a certain
system of Diophantine equations, originally designed by Hausdorff (1909) as a
simplification of Hilbert's solution (1909) of Waring's problem, and then
create the relationship to quadrature formulas and quasi-Hermite polynomials.
We reduce these equations to the existence problem of rational points on a
hyperelliptic curve associated with discriminants of quasi-Hermite polynomials,
and thereby show a nonexistence theorem for solutions of Hausdorff-type
equations.
| math.CA math.CO math.NT | we derive explicit formulas for the resultants and discriminants of classical quasiorthogonal polynomials as a full generalization of the results of dilcher and stolarsky 2005 and gishe and ismail 2008 we consider a certain system of diophantine equations originally designed by hausdorff 1909 as a simplification of hilberts solution 1909 of warings problem and then create the relationship to quadrature formulas and quasihermite polynomials we reduce these equations to the existence problem of rational points on a hyperelliptic curve associated with discriminants of quasihermite polynomials and thereby show a nonexistence theorem for solutions of hausdorfftype equations | [['we', 'derive', 'explicit', 'formulas', 'for', 'the', 'resultants', 'and', 'discriminants', 'of', 'classical', 'quasiorthogonal', 'polynomials', 'as', 'a', 'full', 'generalization', 'of', 'the', 'results', 'of', 'dilcher', 'and', 'stolarsky', '2005', 'and', 'gishe', 'and', 'ismail', '2008', 'we', 'consider', 'a', 'certain', 'system', 'of', 'diophantine', 'equations', 'originally', 'designed', 'by', 'hausdorff', '1909', 'as', 'a', 'simplification', 'of', 'hilberts', 'solution', '1909', 'of', 'warings', 'problem', 'and', 'then', 'create', 'the', 'relationship', 'to', 'quadrature', 'formulas', 'and', 'quasihermite', 'polynomials', 'we', 'reduce', 'these', 'equations', 'to', 'the', 'existence', 'problem', 'of', 'rational', 'points', 'on', 'a', 'hyperelliptic', 'curve', 'associated', 'with', 'discriminants', 'of', 'quasihermite', 'polynomials', 'and', 'thereby', 'show', 'a', 'nonexistence', 'theorem', 'for', 'solutions', 'of', 'hausdorfftype', 'equations']] | [-0.17078343624536424, -0.017010719901783034, -0.08807157537840465, 0.09385073373708477, -0.11640458736330905, -0.1338356634592043, 0.07006830103358531, 0.2230685652689414, -0.28248474403888857, -0.2552606162139551, 0.1451962947748859, -0.27825975447318496, -0.1908508356898389, 0.24223954530997557, -0.1139151536091107, 0.09176457113031536, 0.023049264965440207, -0.014166326898625715, -0.11787528069590793, -0.3019814109528794, 0.35825430991207347, -0.02730305885222364, 0.1870421646559175, 0.04746071604932559, 0.1860524476505816, 0.017778209982776738, -0.033429750802361984, -0.043554130327352815, -0.16373056798499633, 0.14856035798599826, 0.2849741312179794, 0.15381216845088738, 0.23041141649430735, -0.3565609811636758, -0.1001225928082428, 0.16617790000770796, 0.12328004361962543, 0.06675308492490427, 0.01900485426186277, -0.2723614010821156, 0.061440441522133, -0.13759161767232767, -0.2508027090918907, -0.1044504299977834, 0.06981735854370004, 0.10726528962271566, -0.2720949021465284, 0.04853183556189562, 0.1277637526571275, 0.12624828275766822, -0.0880161619329072, -0.1369383054862215, 0.017948535316811995, 0.02458157106500832, 0.002705199174592866, -0.006360930583855891, -0.043972807485570614, -0.10383419966959256, -0.1474539109510667, 0.3573967446721694, -0.029935711457275173, -0.23468739804910851, 0.09284986708154704, -0.08609605900586602, -0.13433543811651302, 0.1194837980685716, 0.14587506854490556, 0.15108685684390366, -0.07317570063899806, 0.1292442313272833, -0.1335946705212143, 0.08139306438363533, 0.19564268745957536, -0.027267600845624792, 0.11299645587148026, -0.021965776015310846, 0.04005670853694802, 0.17018894206465005, 0.00745701606254133, -0.08608007905113095, -0.29709114304723894, -0.2139833591472199, -0.11609863718733826, 0.104463073613241, -0.12666378050755853, -0.1962913881808995, 0.3731025592126745, 0.08027835313832644, 0.1248575988760654, 0.15069730002234907, 0.19690105443612296, 0.16500408291331234, -0.015269688479206029, 0.05227501468455538, 0.15322597839057128, 0.2594416756083832, 0.07231789943762124, -0.1643873516115994, -0.0026202931296714443, 0.24414762547437815] |
1,802.00606 | Allegation of scientific misconduct increases Twitter attention | The web-based microblogging system Twitter is a very popular altmetrics
source for measuring the broader impact of science. In this case study, we
demonstrate how problematic the use of Twitter data for research evaluation can
be, even though the aspiration of measurement is degraded from impact to
attention measurement. We collected the Twitter data for the paper published by
Yamamizu et al. (2017). An investigative committee found that the main figures
in the paper are fraudulent.
| cs.DL | the webbased microblogging system twitter is a very popular altmetrics source for measuring the broader impact of science in this case study we demonstrate how problematic the use of twitter data for research evaluation can be even though the aspiration of measurement is degraded from impact to attention measurement we collected the twitter data for the paper published by yamamizu et al 2017 an investigative committee found that the main figures in the paper are fraudulent | [['the', 'webbased', 'microblogging', 'system', 'twitter', 'is', 'a', 'very', 'popular', 'altmetrics', 'source', 'for', 'measuring', 'the', 'broader', 'impact', 'of', 'science', 'in', 'this', 'case', 'study', 'we', 'demonstrate', 'how', 'problematic', 'the', 'use', 'of', 'twitter', 'data', 'for', 'research', 'evaluation', 'can', 'be', 'even', 'though', 'the', 'aspiration', 'of', 'measurement', 'is', 'degraded', 'from', 'impact', 'to', 'attention', 'measurement', 'we', 'collected', 'the', 'twitter', 'data', 'for', 'the', 'paper', 'published', 'by', 'yamamizu', 'et', 'al', '2017', 'an', 'investigative', 'committee', 'found', 'that', 'the', 'main', 'figures', 'in', 'the', 'paper', 'are', 'fraudulent']] | [-0.08044235520064831, 0.029852812186387988, -0.06838364655772845, 0.07682966883759945, -0.1485300931086143, -0.11377601228033503, 0.04291168130002916, 0.38739777182539303, -0.2027268318211039, -0.3637412887314955, 0.09071723641672481, -0.381625124240915, -0.1875247310101986, 0.24138668144742648, -0.11957445204257965, 0.014592000084618728, 0.13268126933525007, 0.014352547889575362, 0.017333219113449257, -0.35035055767744777, 0.3324973436196645, 0.14818973009785016, 0.36118629758556686, 0.094404040115575, 0.011002077171579003, -0.007616209657862782, -0.12145608591536682, -0.00358116015791893, -0.11164729152233728, 0.13576491005718708, 0.3465944024423758, 0.2353028369601816, 0.34195167069633803, -0.35011557761269313, -0.17843322838346162, 0.07599954156205058, 0.12880906587466598, 0.11149271718847255, -0.07804891889293988, -0.3731122526495407, 0.03912811130285263, -0.23264089688658715, -0.051973664071410894, -0.05170212395489216, 0.07675918656711778, -0.0066359263254950444, -0.21986953901747863, 0.051837219322721166, 0.009554679190041498, 0.14319011356681585, 0.004333888000498215, -0.08827242997009307, 0.025093294518689316, 0.18030686242505908, 0.08409001290177305, -0.0030280324599395196, 0.1300744388314585, -0.1315714241657406, -0.12824167316158613, 0.3820861526454488, -0.046944649688278633, -0.11187979421267907, 0.13067240993181864, -0.08315513299157222, -0.19491163668533165, 0.017097896672785284, 0.26701785733302436, 0.07745419581731161, -0.21361044116318226, -0.004111992791295051, -0.07739985094716152, 0.19816723671897005, 0.06251536497846245, -0.028703714652607838, 0.15243314286073048, 0.21339922269185385, -0.00013364139944314955, 0.14352731900755317, -0.10316253749343256, -0.037883818209326514, -0.23115506003300348, -0.13319565167029698, -0.19507368568331004, 0.015553851801281174, -0.014495278705532352, -0.10480866687566352, 0.3982169865941008, 0.23811493470643957, 0.12289371272859474, -0.0208849306901296, 0.3024847477177779, 0.009756951406598092, 0.025024938713759184, 0.08443924725055695, 0.24608823088929058, -0.027111202608793974, 0.22894915195802848, -0.12376667280681432, 0.13883180817589164, -0.05928931199169407] |
1,802.00607 | Macroscopic direct observation of optical spin-dependent lateral forces
and left-handed torques | Observing and taming unusual effects arising from non-trivial light-matter
interaction has always triggered scientists to better understand Nature and
develop technological tools towards implementing novel applications. Recently,
several unusual optomechanical effects have been unveiled when subtle
spin-orbit interactions come at play to build up optical forces and torques
that are hardly seen in everyday life, such as negative optical radiation
pressure, transverse optical forces, or left-handed optical torques. To date,
there are only a few experimental proposals to reveal these effects despite
tremendous conceptual advances. In particular, spin-dependent lateral forces
and their angular analog are done either at the expense of direct observations
or at the cost of specific instrumental complexity. Here we report on naked-eye
identification of light-induced spin-dependent lateral displacements of
centimeter-sized objects endowed with structured birefringence. Its angular
counterpart is also discussed and the observation of left-handed macroscopic
rotational motion is reported. The unveiled effects are ultimately driven by
lateral optical force fields that are five orders of magnitude larger than
those reported so far. These results allow structured light-matter interaction
to move from a scientific curiosity to a new asset for the existing
multidisciplinary optical manipulation toolbox across length scales. In
addition, this highlights the spin-orbit optomechanics of anisotropic and
inhomogeneous media, which is just beginning to be explored.
| physics.optics | observing and taming unusual effects arising from nontrivial lightmatter interaction has always triggered scientists to better understand nature and develop technological tools towards implementing novel applications recently several unusual optomechanical effects have been unveiled when subtle spinorbit interactions come at play to build up optical forces and torques that are hardly seen in everyday life such as negative optical radiation pressure transverse optical forces or lefthanded optical torques to date there are only a few experimental proposals to reveal these effects despite tremendous conceptual advances in particular spindependent lateral forces and their angular analog are done either at the expense of direct observations or at the cost of specific instrumental complexity here we report on nakedeye identification of lightinduced spindependent lateral displacements of centimetersized objects endowed with structured birefringence its angular counterpart is also discussed and the observation of lefthanded macroscopic rotational motion is reported the unveiled effects are ultimately driven by lateral optical force fields that are five orders of magnitude larger than those reported so far these results allow structured lightmatter interaction to move from a scientific curiosity to a new asset for the existing multidisciplinary optical manipulation toolbox across length scales in addition this highlights the spinorbit optomechanics of anisotropic and inhomogeneous media which is just beginning to be explored | [['observing', 'and', 'taming', 'unusual', 'effects', 'arising', 'from', 'nontrivial', 'lightmatter', 'interaction', 'has', 'always', 'triggered', 'scientists', 'to', 'better', 'understand', 'nature', 'and', 'develop', 'technological', 'tools', 'towards', 'implementing', 'novel', 'applications', 'recently', 'several', 'unusual', 'optomechanical', 'effects', 'have', 'been', 'unveiled', 'when', 'subtle', 'spinorbit', 'interactions', 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1,802.00608 | Examples of compact Einstein four-manifolds with negative curvature | We give new examples of compact, negatively curved Einstein manifolds of
dimension $4$. These are seemingly the first such examples which are not
locally homogeneous. Our metrics are carried by a sequence of 4-manifolds
$(X_k)$ previously considered by Gromov and Thurston. The construction begins
with a certain sequence $(M_k)$ of hyperbolic 4-manifolds, each containing a
totally geodesic surface $\Sigma_k$ which is nullhomologous and whose normal
injectivity radius tends to infinity with $k$. For a fixed choice of natural
number $l$, we consider the $l$-fold cover $X_k \to M_k$ branched along
$\Sigma_k$. We prove that for any choice of $l$ and all large enough $k$
(depending on $l$), $X_k$ carries an Einstein metric of negative sectional
curvature. The first step in the proof is to find an approximate Einstein
metric on $X_k$, which is done by interpolating between a model Einstein metric
near the branch locus and the pull-back of the hyperbolic metric from $M_k$.
The second step in the proof is to perturb this to a genuine solution to
Einstein's equations, by a parameter dependent version of the inverse function
theorem. The analysis relies on a delicate bootstrap procedure based on $L^2$
coercivity estimates.
| math.DG | we give new examples of compact negatively curved einstein manifolds of dimension 4 these are seemingly the first such examples which are not locally homogeneous our metrics are carried by a sequence of 4manifolds x_k previously considered by gromov and thurston the construction begins with a certain sequence m_k of hyperbolic 4manifolds each containing a totally geodesic surface sigma_k which is nullhomologous and whose normal injectivity radius tends to infinity with k for a fixed choice of natural number l we consider the lfold cover x_k to m_k branched along sigma_k we prove that for any choice of l and all large enough k depending on l x_k carries an einstein metric of negative sectional curvature the first step in the proof is to find an approximate einstein metric on x_k which is done by interpolating between a model einstein metric near the branch locus and the pullback of the hyperbolic metric from m_k the second step in the proof is to perturb this to a genuine solution to einsteins equations by a parameter dependent version of the inverse function theorem the analysis relies on a delicate bootstrap procedure based on l2 coercivity estimates | [['we', 'give', 'new', 'examples', 'of', 'compact', 'negatively', 'curved', 'einstein', 'manifolds', 'of', 'dimension', '4', 'these', 'are', 'seemingly', 'the', 'first', 'such', 'examples', 'which', 'are', 'not', 'locally', 'homogeneous', 'our', 'metrics', 'are', 'carried', 'by', 'a', 'sequence', 'of', '4manifolds', 'x_k', 'previously', 'considered', 'by', 'gromov', 'and', 'thurston', 'the', 'construction', 'begins', 'with', 'a', 'certain', 'sequence', 'm_k', 'of', 'hyperbolic', '4manifolds', 'each', 'containing', 'a', 'totally', 'geodesic', 'surface', 'sigma_k', 'which', 'is', 'nullhomologous', 'and', 'whose', 'normal', 'injectivity', 'radius', 'tends', 'to', 'infinity', 'with', 'k', 'for', 'a', 'fixed', 'choice', 'of', 'natural', 'number', 'l', 'we', 'consider', 'the', 'lfold', 'cover', 'x_k', 'to', 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1,802.00609 | An LMI Approach to Stability Analysis of Coupled Parabolic Systems | We analyze the exponential stability of distributed parameter systems. The
system we consider is described by a coupled parabolic partial differential
equation with spatially varying coefficients. We approximate the coefficients
by splitting space domains but take into account approximation errors during
stability analysis. Using a quadratic Lyapunov function, we obtain sufficient
conditions for exponential stability in terms of linear matrix inequalities.
| math.OC cs.SY | we analyze the exponential stability of distributed parameter systems the system we consider is described by a coupled parabolic partial differential equation with spatially varying coefficients we approximate the coefficients by splitting space domains but take into account approximation errors during stability analysis using a quadratic lyapunov function we obtain sufficient conditions for exponential stability in terms of linear matrix inequalities | [['we', 'analyze', 'the', 'exponential', 'stability', 'of', 'distributed', 'parameter', 'systems', 'the', 'system', 'we', 'consider', 'is', 'described', 'by', 'a', 'coupled', 'parabolic', 'partial', 'differential', 'equation', 'with', 'spatially', 'varying', 'coefficients', 'we', 'approximate', 'the', 'coefficients', 'by', 'splitting', 'space', 'domains', 'but', 'take', 'into', 'account', 'approximation', 'errors', 'during', 'stability', 'analysis', 'using', 'a', 'quadratic', 'lyapunov', 'function', 'we', 'obtain', 'sufficient', 'conditions', 'for', 'exponential', 'stability', 'in', 'terms', 'of', 'linear', 'matrix', 'inequalities']] | [-0.19693562549874796, 0.05158865778539024, -0.08404962720013544, 0.07696870697059165, -0.04682654267192253, -0.1634172049702191, 0.02180503434730602, 0.30310132294954334, -0.3168838571940289, -0.23700047934763743, 0.154553542942282, -0.21122777745600974, -0.1508197812821533, 0.15923529680146545, -0.0233786226112823, 0.13253458578628105, 0.053563552465839465, -0.035212898997162456, -0.1288848998422017, -0.25488592098566293, 0.34544163699773306, -0.02131274730333539, 0.21425704194660314, -0.02389123738117394, 0.15975688520025033, 0.03963964525228519, -0.03865204931267339, 0.04659923792723185, -0.20630300073258456, 0.0750771595325443, 0.22682113235159854, 0.04305805742252068, 0.3032136803157017, -0.43881130539125107, -0.20930097110141985, 0.12065476504322446, 0.14626679778648694, 0.07991133830281066, -0.021746367521461894, -0.28059596050774954, 0.07024235055270436, -0.13491610185716485, -0.18242724009285696, -0.1404648179180737, -0.02136594855577731, 0.08680944694358794, -0.3564452865145734, 0.14988763679246433, 0.07031153096649491, 0.05195465349386156, -0.14668245587238402, -0.08089311340571854, 0.033976131790607676, 0.05216726050788506, -0.003763592723741761, -0.10448596182233486, 0.07941812725325466, -0.041672167711753826, -0.05390192409519289, 0.3221400115547366, -0.15425613740474353, -0.30727390236541874, 0.07794436099404684, -0.12314406932011003, -0.09820048909130522, 0.12266878991341981, 0.25178161952033884, 0.1181946762638991, -0.16684229873487208, 0.17266090881457785, -0.0035767101484243985, 0.19935792267750033, 0.06648636554734262, 0.022640783301569888, 0.08768748736283818, 0.10082810185849667, 0.13092826151472256, 0.2016288065275208, 0.03126528003390451, -0.17571071416261744, -0.30731559215021914, -0.12935594577708695, -0.10176550111443293, 0.033562380202175654, -0.1280966488569097, -0.16913084404878928, 0.41549134852181446, 0.03496997710317373, 0.21155544465835222, 0.07035794314836748, 0.2546548135120605, 0.26585889245349087, -0.0007269399576499814, 0.03594294279936861, 0.21043597964844743, 0.18749547089053104, 0.09479990118702293, -0.2462275672139081, 0.08883338951368312, 0.13052708906747523] |
1,802.0061 | Polymer effects on Karman Vortex: Molecular Dynamics Study | We investigated the Karman vortex behind a circular cylinder in a polymer
solution by a molecular dynamics simulation. The vortex characteristics are
distinctly different for short and long polymers. The solution with the long
polymer exhibits a reduction in the vortex shedding frequency and broadening of
the lift coefficient spectrum. On the other hand, the characteristics of the
short-polymer solution are almost same as those of the Newtonian fluid. These
facts are consistent with the experiments. Because the distributions of the
gyration radius and the orientational order of the long-polymer solution are
highly inhomogeneous in the flow field, we conclude that the extensional
property of the polymer plays an important role in changing the flow
characteristics.
| cond-mat.soft physics.flu-dyn | we investigated the karman vortex behind a circular cylinder in a polymer solution by a molecular dynamics simulation the vortex characteristics are distinctly different for short and long polymers the solution with the long polymer exhibits a reduction in the vortex shedding frequency and broadening of the lift coefficient spectrum on the other hand the characteristics of the shortpolymer solution are almost same as those of the newtonian fluid these facts are consistent with the experiments because the distributions of the gyration radius and the orientational order of the longpolymer solution are highly inhomogeneous in the flow field we conclude that the extensional property of the polymer plays an important role in changing the flow characteristics | [['we', 'investigated', 'the', 'karman', 'vortex', 'behind', 'a', 'circular', 'cylinder', 'in', 'a', 'polymer', 'solution', 'by', 'a', 'molecular', 'dynamics', 'simulation', 'the', 'vortex', 'characteristics', 'are', 'distinctly', 'different', 'for', 'short', 'and', 'long', 'polymers', 'the', 'solution', 'with', 'the', 'long', 'polymer', 'exhibits', 'a', 'reduction', 'in', 'the', 'vortex', 'shedding', 'frequency', 'and', 'broadening', 'of', 'the', 'lift', 'coefficient', 'spectrum', 'on', 'the', 'other', 'hand', 'the', 'characteristics', 'of', 'the', 'shortpolymer', 'solution', 'are', 'almost', 'same', 'as', 'those', 'of', 'the', 'newtonian', 'fluid', 'these', 'facts', 'are', 'consistent', 'with', 'the', 'experiments', 'because', 'the', 'distributions', 'of', 'the', 'gyration', 'radius', 'and', 'the', 'orientational', 'order', 'of', 'the', 'longpolymer', 'solution', 'are', 'highly', 'inhomogeneous', 'in', 'the', 'flow', 'field', 'we', 'conclude', 'that', 'the', 'extensional', 'property', 'of', 'the', 'polymer', 'plays', 'an', 'important', 'role', 'in', 'changing', 'the', 'flow', 'characteristics']] | [-0.17360454338562228, 0.1457764044344557, -0.11254602990963537, 0.01783838968562043, -0.03863832145605398, -0.09732279863775424, -0.07386302831785187, 0.37151464810189994, -0.29158931098392477, -0.24075805167465106, 0.12439686142960968, -0.2781254640415959, -0.12163254106822222, 0.18319441395123368, 0.005119264315631564, 0.05816175562643405, 0.036651708627038676, 0.03655243980516072, -0.03374798790976891, -0.14275388609536965, 0.2823385110691838, 0.061566109955310824, 0.3218186875238367, 0.06313269970655118, 0.08118445969632139, -0.02702608036039316, -0.0069453621748834845, 0.07979558332134848, -0.1868842133546739, 0.09158488037064672, 0.16219771252945064, -0.0049175549460494, 0.22914883913472295, -0.4566795596488468, -0.21546895573644534, 0.026810061972102395, 0.1478226098738125, 0.12842038233319056, -0.033066882577259094, -0.22844049092382193, 0.06298796273565486, -0.13723543257169102, -0.16926730184451394, -0.012116145300071525, 0.05537867107651318, 0.12140237345643666, -0.19905040773522595, 0.09966313914881776, 0.09810447486765358, 0.052058837016153596, -0.09327250381820308, -0.07524321876547259, -0.027794464981264394, 0.12752818910243072, 0.11323929256557122, -0.01835058400326449, 0.1743910652787789, -0.20719120640145697, -0.05367993629112354, 0.41987362976955334, -0.07380195556653907, -0.1996770098157551, 0.17817647385451457, -0.15172580425910975, -0.0639896372616615, 0.1695258646859261, 0.11211468679121817, 0.1105049818875673, -0.087466689890615, 0.019906174551958786, -0.07769062871761297, 0.16133878814542424, 0.08595076564537442, 0.023699412219550298, 0.2443562345903205, 0.2012128739182473, 0.03634131417569259, 0.15003434597443707, -0.10776688729453346, -0.15634918303897039, -0.2792748511728385, -0.15234116345401044, -0.1543071684650267, 0.021010575735050697, -0.13198081620971408, -0.18872783429738457, 0.39697381864585307, 0.09681964468656351, 0.20652361204164385, 0.02578513718655576, 0.2498553795982962, 0.07874957058558484, 0.0552779664285481, 0.06957262708279102, 0.2697311461943647, 0.14495656951330602, 0.14934365405579625, -0.2893890410337759, 0.07536500787321965, 0.06020261745737947] |
1,802.00611 | A priori Error Estimates for Space-Time Finite Element Discretization of
Parabolic Time-Optimal Control Problems | Space-time finite element discretizations of time-optimal control problems
governed by linear parabolic PDEs and subject to pointwise control constraints
are considered. Optimal a priori error estimates are obtained for the control
variable based on a second order sufficient optimality condition.
| math.OC math.NA | spacetime finite element discretizations of timeoptimal control problems governed by linear parabolic pdes and subject to pointwise control constraints are considered optimal a priori error estimates are obtained for the control variable based on a second order sufficient optimality condition | [['spacetime', 'finite', 'element', 'discretizations', 'of', 'timeoptimal', 'control', 'problems', 'governed', 'by', 'linear', 'parabolic', 'pdes', 'and', 'subject', 'to', 'pointwise', 'control', 'constraints', 'are', 'considered', 'optimal', 'a', 'priori', 'error', 'estimates', 'are', 'obtained', 'for', 'the', 'control', 'variable', 'based', 'on', 'a', 'second', 'order', 'sufficient', 'optimality', 'condition']] | [-0.16457987853791564, 0.04255508226342499, -0.040783962281420824, 0.07037540907040238, -0.16673856154084205, -0.2457099645631388, 0.050755861040670425, 0.32971279190387576, -0.30873335977084937, -0.27242684718221427, 0.2515651856199838, -0.18504694363800808, -0.07298576682806016, 0.23740064785815776, -0.15970691184047608, 0.2574486050696578, 0.044917504442855714, 0.005285378312692046, -0.12617832081159577, -0.27288736988557505, 0.3223695939523168, -0.051021109812427315, 0.24544127164408563, -0.03139554876834154, 0.24063588893041016, -0.03746740407077596, -0.03403071630164049, 0.039551423070952295, -0.20522123496048153, 0.11249753162264824, 0.27979930902365596, 0.008705510222353042, 0.37249031830579044, -0.42083657687180676, -0.22208103605080395, 0.08603172211442142, 0.10523301714565605, 0.07312181168235839, -0.07138968188373837, -0.3008390232920647, 0.1173629415105097, -0.04420750083518214, -0.14359958305722104, -0.03870036359876394, -0.05328821907751262, 0.09670365287456661, -0.43502099299803376, 0.10573011972010135, 0.06680301656015217, 0.07680962709710001, -0.1601188536384143, -0.06643354357220232, -0.009138491237536073, 0.10384709033532999, -0.015997269726358353, -0.05795727603835985, 0.08554111249977722, -0.011321362864691764, -0.12226432866882533, 0.38590652267448605, -0.036858026604750196, -0.3809328434057534, 0.07556770970695652, -0.06132415105821565, -0.07132540051243268, 0.14354113567387686, 0.2384161958936602, 0.1859998855739832, -0.1992599903838709, 0.1107088884789846, 0.003722064837347716, 0.1757405315991491, 0.04454504825407639, 0.05799427368910983, 0.03470210614614189, 0.14904400827363135, 0.2780390480766073, 0.06360025155590847, 0.06463545316946692, -0.170060494937934, -0.42935876846313475, -0.045110846986062825, -0.14705292535945774, 0.010540010407567024, -0.1388357551066292, -0.1833386910147965, 0.31311898548156025, 0.08428974167909473, 0.06653478945372626, 0.09120605336502194, 0.243791133351624, 0.23912196992168902, -0.04278683417942375, 0.08253509115529596, 0.21160304246004671, 0.24023922156193295, 0.06958557959878817, -0.2790556415457104, 0.10616548141697421, 0.21811160180950537] |
1,802.00612 | On tails of symmetric and totally asymmetric $\alpha$-stable
distributions | We estimate up to universal constants tails of symmetric and totally
asymmetric 1-dimensional $\alpha$-stable distributions in terms of functions of
the parameters of these distributions. In particular, for values of $\alpha$
close to $2$ we specify where exactly the tail changes from being Gaussian and
starts to behave like in the Pareto distribution
| math.PR | we estimate up to universal constants tails of symmetric and totally asymmetric 1dimensional alphastable distributions in terms of functions of the parameters of these distributions in particular for values of alpha close to 2 we specify where exactly the tail changes from being gaussian and starts to behave like in the pareto distribution | [['we', 'estimate', 'up', 'to', 'universal', 'constants', 'tails', 'of', 'symmetric', 'and', 'totally', 'asymmetric', '1dimensional', 'alphastable', 'distributions', 'in', 'terms', 'of', 'functions', 'of', 'the', 'parameters', 'of', 'these', 'distributions', 'in', 'particular', 'for', 'values', 'of', 'alpha', 'close', 'to', '2', 'we', 'specify', 'where', 'exactly', 'the', 'tail', 'changes', 'from', 'being', 'gaussian', 'and', 'starts', 'to', 'behave', 'like', 'in', 'the', 'pareto', 'distribution']] | [-0.02847167921586419, 0.1711567616757919, -0.11236917097472919, 0.08900510568944912, -0.03286565335045727, -0.14320735877625784, 0.01982124666859097, 0.3914377628210581, -0.3007481345590555, -0.25718296607429125, 0.047574652132648484, -0.3018402777752786, -0.09388219410188953, 0.1404042608227651, -0.05215773785943693, 0.06388851645966016, -0.0773576109160511, 0.06679383356053874, -0.10103424960683663, -0.19297068048584856, 0.3534365422883124, 0.01993229818301943, 0.21403454226564686, -0.017628617813142965, 0.07308212794222922, 0.007561635445662827, -0.02302573779531983, -0.0410174704156816, -0.18289956378416633, 0.10651346976017109, 0.19588207840076033, 0.05429580489630407, 0.19671490758587168, -0.3469683676255199, -0.13892360586883887, 0.18878987491271407, 0.1651532607672534, 0.023252391660550854, 0.028949589626687876, -0.24223051568985265, 0.10730538442555182, -0.1734834763107224, -0.2333662635031736, -0.042434746786108556, 0.08981698601207924, 0.1445543044510315, -0.33466405061266896, 0.1098820899244187, 0.08133880579668396, -0.008396059239529213, -0.07928733365118222, -0.16452956909559807, 0.018295164870203665, 0.13326484031694116, 0.08687113309806248, -0.04151031614790829, 0.11639888828866324, -0.18544908776387292, -0.06267458493909184, 0.3555121175672437, -0.08736437836767368, -0.23252314954714956, 0.1531415642898108, -0.22511835112500023, -0.12491222030817056, 0.1351068529458541, 0.21526895919902567, 0.11313133588816338, -0.09866352310790769, 0.10732147188742978, -0.012765073929122597, 0.0943401718582466, 0.11821156014459876, 0.0021739619661052274, 0.1555500864842028, 0.02680343508562249, 0.06837954119129001, 0.18363748364291102, -0.07381252598298609, -0.18547977251440007, -0.3393337568971065, -0.11689513419174923, -0.1823904229995777, 0.05423123143472761, -0.13972022133947457, -0.23036816484242115, 0.401794359790829, 0.09859350201550801, 0.27809881000726855, 0.09834941346549762, 0.19242422323111655, 0.1434517797293528, 0.009078767695376333, 0.11277210389984385, 0.15678347473226065, 0.10564920541672211, 0.007518448928406216, -0.10880096050699786, 0.12242792060879885, -0.05102889423416752] |
1,802.00613 | Effects of Hand Representations for Typing in Virtual Reality | Alphanumeric text entry is a challenge for Virtual Reality (VR) applications.
VR enables new capabilities, impossible in the real world, such as an
unobstructed view of the keyboard, without occlusion by the user's physical
hands. Several hand representations have been proposed for typing in VR on
standard physical keyboards. However, to date, these hand representations have
not been compared regarding their performance and effects on presence for VR
text entry. Our work addresses this gap by comparing existing hand
representations with minimalistic fingertip visualization. We study the effects
of four hand representations (no hand representation, inverse kinematic model,
fingertip visualization using spheres and video inlay) on typing in VR using a
standard physical keyboard with 24 participants. We found that the fingertip
visualization and video inlay both resulted in statistically significant lower
text entry error rates compared to no hand or inverse kinematic model
representations. We found no statistical differences in text entry speed.
| cs.HC | alphanumeric text entry is a challenge for virtual reality vr applications vr enables new capabilities impossible in the real world such as an unobstructed view of the keyboard without occlusion by the users physical hands several hand representations have been proposed for typing in vr on standard physical keyboards however to date these hand representations have not been compared regarding their performance and effects on presence for vr text entry our work addresses this gap by comparing existing hand representations with minimalistic fingertip visualization we study the effects of four hand representations no hand representation inverse kinematic model fingertip visualization using spheres and video inlay on typing in vr using a standard physical keyboard with 24 participants we found that the fingertip visualization and video inlay both resulted in statistically significant lower text entry error rates compared to no hand or inverse kinematic model representations we found no statistical differences in text entry speed | [['alphanumeric', 'text', 'entry', 'is', 'a', 'challenge', 'for', 'virtual', 'reality', 'vr', 'applications', 'vr', 'enables', 'new', 'capabilities', 'impossible', 'in', 'the', 'real', 'world', 'such', 'as', 'an', 'unobstructed', 'view', 'of', 'the', 'keyboard', 'without', 'occlusion', 'by', 'the', 'users', 'physical', 'hands', 'several', 'hand', 'representations', 'have', 'been', 'proposed', 'for', 'typing', 'in', 'vr', 'on', 'standard', 'physical', 'keyboards', 'however', 'to', 'date', 'these', 'hand', 'representations', 'have', 'not', 'been', 'compared', 'regarding', 'their', 'performance', 'and', 'effects', 'on', 'presence', 'for', 'vr', 'text', 'entry', 'our', 'work', 'addresses', 'this', 'gap', 'by', 'comparing', 'existing', 'hand', 'representations', 'with', 'minimalistic', 'fingertip', 'visualization', 'we', 'study', 'the', 'effects', 'of', 'four', 'hand', 'representations', 'no', 'hand', 'representation', 'inverse', 'kinematic', 'model', 'fingertip', 'visualization', 'using', 'spheres', 'and', 'video', 'inlay', 'on', 'typing', 'in', 'vr', 'using', 'a', 'standard', 'physical', 'keyboard', 'with', '24', 'participants', 'we', 'found', 'that', 'the', 'fingertip', 'visualization', 'and', 'video', 'inlay', 'both', 'resulted', 'in', 'statistically', 'significant', 'lower', 'text', 'entry', 'error', 'rates', 'compared', 'to', 'no', 'hand', 'or', 'inverse', 'kinematic', 'model', 'representations', 'we', 'found', 'no', 'statistical', 'differences', 'in', 'text', 'entry', 'speed']] | [-0.04954629053214663, -0.007248405399207657, -0.07534776911090471, 0.06905188647368432, -0.13142035834148133, -0.18587735909539715, 0.033426005808379206, 0.4519751456713206, -0.21682729712675178, -0.3358358605887349, 0.0978203111360352, -0.30735537195333135, -0.17709739269584565, 0.21895235576697528, -0.14565766133838273, 0.07197575890198718, 0.1076433855372383, 0.08539500970111571, -0.05227375656249933, -0.21723062892315761, 0.28901701118172096, -0.024293370736383, 0.30877850133631574, 0.0624192714573215, 0.0912755431513927, 0.005803801275569161, -0.07254524266050123, 0.000640030919672235, -0.038450231256607174, 0.1364721205685974, 0.26700965342369226, 0.1493645980433365, 0.2502742728362424, -0.43301345467395885, -0.19498403758227237, 0.09670323916514845, 0.2003348277465097, 0.07903921623150573, -0.10655018655923318, -0.34870954048452213, 0.09666372025324228, -0.19874285232646416, -0.007850974355517936, -0.06283618249979459, 0.07000792108623213, -0.0298208236107664, -0.23040754071706415, 0.002592031620320325, 0.020826805291060162, 0.17618029570133475, -0.07446742900279596, -0.14305675792581352, 0.04627695534298638, 0.21300247045215465, 0.08539057908101792, 0.028664173829479535, 0.15165109416059414, -0.20975436729924313, -0.14837733534850964, 0.44156304159275206, -0.01591796862378128, -0.2437194501801155, 0.26636981327503334, -0.05997082671934837, -0.10980280207494568, 0.10963100831385848, 0.1923797527821367, 0.05487025270581638, -0.1413270884291514, 0.042522620802245864, -0.03620299006701986, 0.22288724083352318, 0.1136047740736486, 0.01314723346379316, 0.17107324045316905, 0.17123810037063728, -0.020787785280079237, 0.05395132428537564, -0.12018459920517144, -0.05726979298082082, -0.2229591365260268, -0.16478178998161302, -0.13961964911064378, -0.043009471445322175, -0.11214767942960623, -0.1269008528600496, 0.37225231414930404, 0.23602540494041596, 0.17577383001059244, 0.06987085299394828, 0.3720615282409677, 0.018051943876535484, 0.1033712532264058, 0.06404524654346078, 0.18667602184914836, -0.040324726145052794, 0.17378857841800996, -0.13764001690555902, 0.09794112988043037, 0.06279532254771575] |
1,802.00614 | Visual Interpretability for Deep Learning: a Survey | This paper reviews recent studies in understanding neural-network
representations and learning neural networks with interpretable/disentangled
middle-layer representations. Although deep neural networks have exhibited
superior performance in various tasks, the interpretability is always the
Achilles' heel of deep neural networks. At present, deep neural networks obtain
high discrimination power at the cost of low interpretability of their
black-box representations. We believe that high model interpretability may help
people to break several bottlenecks of deep learning, e.g., learning from very
few annotations, learning via human-computer communications at the semantic
level, and semantically debugging network representations. We focus on
convolutional neural networks (CNNs), and we revisit the visualization of CNN
representations, methods of diagnosing representations of pre-trained CNNs,
approaches for disentangling pre-trained CNN representations, learning of CNNs
with disentangled representations, and middle-to-end learning based on model
interpretability. Finally, we discuss prospective trends in explainable
artificial intelligence.
| cs.CV | this paper reviews recent studies in understanding neuralnetwork representations and learning neural networks with interpretabledisentangled middlelayer representations although deep neural networks have exhibited superior performance in various tasks the interpretability is always the achilles heel of deep neural networks at present deep neural networks obtain high discrimination power at the cost of low interpretability of their blackbox representations we believe that high model interpretability may help people to break several bottlenecks of deep learning eg learning from very few annotations learning via humancomputer communications at the semantic level and semantically debugging network representations we focus on convolutional neural networks cnns and we revisit the visualization of cnn representations methods of diagnosing representations of pretrained cnns approaches for disentangling pretrained cnn representations learning of cnns with disentangled representations and middletoend learning based on model interpretability finally we discuss prospective trends in explainable artificial intelligence | [['this', 'paper', 'reviews', 'recent', 'studies', 'in', 'understanding', 'neuralnetwork', 'representations', 'and', 'learning', 'neural', 'networks', 'with', 'interpretabledisentangled', 'middlelayer', 'representations', 'although', 'deep', 'neural', 'networks', 'have', 'exhibited', 'superior', 'performance', 'in', 'various', 'tasks', 'the', 'interpretability', 'is', 'always', 'the', 'achilles', 'heel', 'of', 'deep', 'neural', 'networks', 'at', 'present', 'deep', 'neural', 'networks', 'obtain', 'high', 'discrimination', 'power', 'at', 'the', 'cost', 'of', 'low', 'interpretability', 'of', 'their', 'blackbox', 'representations', 'we', 'believe', 'that', 'high', 'model', 'interpretability', 'may', 'help', 'people', 'to', 'break', 'several', 'bottlenecks', 'of', 'deep', 'learning', 'eg', 'learning', 'from', 'very', 'few', 'annotations', 'learning', 'via', 'humancomputer', 'communications', 'at', 'the', 'semantic', 'level', 'and', 'semantically', 'debugging', 'network', 'representations', 'we', 'focus', 'on', 'convolutional', 'neural', 'networks', 'cnns', 'and', 'we', 'revisit', 'the', 'visualization', 'of', 'cnn', 'representations', 'methods', 'of', 'diagnosing', 'representations', 'of', 'pretrained', 'cnns', 'approaches', 'for', 'disentangling', 'pretrained', 'cnn', 'representations', 'learning', 'of', 'cnns', 'with', 'disentangled', 'representations', 'and', 'middletoend', 'learning', 'based', 'on', 'model', 'interpretability', 'finally', 'we', 'discuss', 'prospective', 'trends', 'in', 'explainable', 'artificial', 'intelligence']] | [-0.01707741142587459, -0.03361719387504173, -0.04502467724270887, 0.09053621999589158, -0.13608131711107038, -0.2445206069090265, -0.006548581117308361, 0.521025114923927, -0.2992104663520206, -0.3108523113852043, 0.007054896997981407, -0.27487645313764614, -0.29262160912737356, 0.16849104513526492, -0.16967212586293776, 0.1148688645227581, 0.18332629738018869, 0.04863473726766752, -0.0886677448172948, -0.31382418215829644, 0.31353832848109175, 0.06721709835333155, 0.4075620621773051, 0.038601282752838965, 0.14454460271521874, -0.08332638382285847, -0.018850120578740612, -0.10593041553119105, -0.013261656661888218, 0.2791173027214059, 0.430867514117284, 0.24312658162774348, 0.3924592593486639, -0.4723621195063312, -0.2874804805379678, 0.12917397644185852, 0.17925768978066053, 0.09788230730299936, 0.008759111344545142, -0.3899769148994105, 0.0732904997776454, -0.2090407847658011, 0.0972820150514021, -0.24378729513301414, -0.04876985986459446, -0.02835690100464296, -0.19564714900825622, -0.02466940019834549, 0.11553557527892239, 0.1676772867877644, -0.056418433399038743, -0.15158638627440107, 0.04939355654559422, 0.1595231693878717, 0.02184608514942493, 0.052658761942103595, 0.1522008907512253, -0.36942373696840136, -0.17757472652093184, 0.27632254877306045, -0.03840562416090306, -0.18184083694235442, 0.2539616010419311, 0.037833581681871876, -0.2512118764426427, 0.02779955776566838, 0.3238666184669268, 0.04039177938417287, -0.13887311279086778, -0.012938814363004772, -0.010869078760874187, 0.1508711665432821, 0.03824276000208466, 0.014716759575068529, 0.21972719115099426, 0.3590182961304903, -0.07912064668250185, 0.09198830724885383, -0.12754394066378025, -0.012690269303217478, -0.1233456790817122, -0.043676900888746935, -0.17656938643491965, -0.017308163852926266, -0.14922038061463386, -0.11514111743671886, 0.42478779939181627, 0.26854672698148835, 0.2165366707845254, 0.21333069795518056, 0.34168518951545795, 0.019555548828504715, 0.1801100421171794, 0.13147510258903636, 0.18176177140665473, 0.04451616114362123, 0.19024411099467506, -0.1125685608440495, 0.1082164529398916, 0.07828649673743028] |
1,802.00615 | Sparse control of Hegselmann-Krause models: Black hole and declustering | This paper elaborates control strategies to prevent clustering effects in
opinion formation models. This is the exact opposite of numerous situations
encountered in the literature where, on the contrary, one seeks controls
promoting consensus. In order to promote declustering, instead of using the
classical variance that does not capture well the phenomenon of dispersion, we
introduce an entropy-type functional that is adapted to measuring pairwise
distances between agents. We then focus on a Hegselmann-Krause-type system and
design declustering sparse controls both in finite-dimensional and kinetic
models. We provide general conditions characterizing whether clustering can be
avoided as function of the initial data. Such results include the description
of black holes (where complete collapse to consensus is not avoidable), safety
zones (where the control can keep the system far from clustering), basins of
attraction (attractive zones around the clustering set) and collapse prevention
(when convergence to the clustering set can be avoided).
| math.OC | this paper elaborates control strategies to prevent clustering effects in opinion formation models this is the exact opposite of numerous situations encountered in the literature where on the contrary one seeks controls promoting consensus in order to promote declustering instead of using the classical variance that does not capture well the phenomenon of dispersion we introduce an entropytype functional that is adapted to measuring pairwise distances between agents we then focus on a hegselmannkrausetype system and design declustering sparse controls both in finitedimensional and kinetic models we provide general conditions characterizing whether clustering can be avoided as function of the initial data such results include the description of black holes where complete collapse to consensus is not avoidable safety zones where the control can keep the system far from clustering basins of attraction attractive zones around the clustering set and collapse prevention when convergence to the clustering set can be avoided | [['this', 'paper', 'elaborates', 'control', 'strategies', 'to', 'prevent', 'clustering', 'effects', 'in', 'opinion', 'formation', 'models', 'this', 'is', 'the', 'exact', 'opposite', 'of', 'numerous', 'situations', 'encountered', 'in', 'the', 'literature', 'where', 'on', 'the', 'contrary', 'one', 'seeks', 'controls', 'promoting', 'consensus', 'in', 'order', 'to', 'promote', 'declustering', 'instead', 'of', 'using', 'the', 'classical', 'variance', 'that', 'does', 'not', 'capture', 'well', 'the', 'phenomenon', 'of', 'dispersion', 'we', 'introduce', 'an', 'entropytype', 'functional', 'that', 'is', 'adapted', 'to', 'measuring', 'pairwise', 'distances', 'between', 'agents', 'we', 'then', 'focus', 'on', 'a', 'hegselmannkrausetype', 'system', 'and', 'design', 'declustering', 'sparse', 'controls', 'both', 'in', 'finitedimensional', 'and', 'kinetic', 'models', 'we', 'provide', 'general', 'conditions', 'characterizing', 'whether', 'clustering', 'can', 'be', 'avoided', 'as', 'function', 'of', 'the', 'initial', 'data', 'such', 'results', 'include', 'the', 'description', 'of', 'black', 'holes', 'where', 'complete', 'collapse', 'to', 'consensus', 'is', 'not', 'avoidable', 'safety', 'zones', 'where', 'the', 'control', 'can', 'keep', 'the', 'system', 'far', 'from', 'clustering', 'basins', 'of', 'attraction', 'attractive', 'zones', 'around', 'the', 'clustering', 'set', 'and', 'collapse', 'prevention', 'when', 'convergence', 'to', 'the', 'clustering', 'set', 'can', 'be', 'avoided']] | [-0.11875139346346258, 0.06525160654845726, -0.10490724038332701, 0.1051396520722968, -0.09028780263693383, -0.1290284899342805, 0.04485974084275464, 0.34317386904731395, -0.28765607187214, -0.2881015755360325, 0.11279405855340884, -0.25653581382396323, -0.1542848994024098, 0.13302262494107708, -0.09210495083282391, 0.025528125907294454, 0.03702771576897552, 0.035408537276283215, -0.029203578976060574, -0.24612167231583346, 0.3345461577285702, 0.04806413685999966, 0.2747625183686614, 0.0466693077981472, 0.05602003847947344, 0.007814418884615103, 0.0029299426234016815, 0.05949512507999316, -0.14411503909514672, 0.06858448034152388, 0.28401265561022837, 0.17711374773023028, 0.34718225655456386, -0.43336211317529283, -0.20332726006085675, 0.16872180042633167, 0.19178679037218294, 0.14133934736407053, -0.026082701060610513, -0.2591102946922183, 0.08501704302926859, -0.1551990991147856, -0.10612772913804899, -0.09318240323414405, -0.013488169284537435, 0.04899125894531608, -0.2825503360449026, 0.09233235337461035, 0.06599724513245747, 0.018351218967388075, -0.07575684575053553, -0.06578267756461477, -0.007911332682706416, 0.14679551734841273, 0.046332231991303464, -0.006018625684082508, 0.15512362179346384, -0.12741603556399544, -0.10532989555038512, 0.39035148105894524, 0.002852453469919662, -0.21835234394520134, 0.22398812541738153, -0.12514657464809717, -0.12061383013613522, 0.08579808294617881, 0.21284251771556834, 0.11469084151554852, -0.15979322628632264, 0.038852862410324936, 0.008835833083527783, 0.15308084059506655, 0.05930977679633846, 0.011826382961201792, 0.2081971264195939, 0.18152389119534443, 0.11400219033161799, 0.10110866982877875, -0.057095642055695256, -0.14147972620402774, -0.27285499770194294, -0.08572771555976942, -0.16943812786911924, 0.0032246623896450425, -0.08223758191151621, -0.17670501520857215, 0.36010335246721903, 0.18807226718364595, 0.20233003536239266, 0.034790440487364925, 0.287347860784624, 0.08280281543285431, 0.05073542820289731, 0.07266448493270825, 0.2569876909752687, 0.06430647652751456, 0.047075219272325435, -0.22017868737224489, 0.12150958449579775, 0.05850514348596334] |
1,802.00616 | Quantum correction to thermodynamic properties of Li_2, Na_2 and Cs_2
dimers | We have calculated the quantum correction(QC) in the vibrational partition
function and thermodynamic state functions, e.g., internal energy, specific
heat, free energy and entropy by using improved Manning-Rosen(MR) potential for
Li_2, Na_2 and Cs_2 dimers numerically using Mathematica. Expression for
classical partition function calculated using Poisson summation formula and a
closed expression in the form of error function is calculated. The change in
the partition function and thermodynamic properties with addition of quantum
correction are discussed in detail and then compared with their classical
counterpart.
| physics.chem-ph | we have calculated the quantum correctionqc in the vibrational partition function and thermodynamic state functions eg internal energy specific heat free energy and entropy by using improved manningrosenmr potential for li_2 na_2 and cs_2 dimers numerically using mathematica expression for classical partition function calculated using poisson summation formula and a closed expression in the form of error function is calculated the change in the partition function and thermodynamic properties with addition of quantum correction are discussed in detail and then compared with their classical counterpart | [['we', 'have', 'calculated', 'the', 'quantum', 'correctionqc', 'in', 'the', 'vibrational', 'partition', 'function', 'and', 'thermodynamic', 'state', 'functions', 'eg', 'internal', 'energy', 'specific', 'heat', 'free', 'energy', 'and', 'entropy', 'by', 'using', 'improved', 'manningrosenmr', 'potential', 'for', 'li_2', 'na_2', 'and', 'cs_2', 'dimers', 'numerically', 'using', 'mathematica', 'expression', 'for', 'classical', 'partition', 'function', 'calculated', 'using', 'poisson', 'summation', 'formula', 'and', 'a', 'closed', 'expression', 'in', 'the', 'form', 'of', 'error', 'function', 'is', 'calculated', 'the', 'change', 'in', 'the', 'partition', 'function', 'and', 'thermodynamic', 'properties', 'with', 'addition', 'of', 'quantum', 'correction', 'are', 'discussed', 'in', 'detail', 'and', 'then', 'compared', 'with', 'their', 'classical', 'counterpart']] | [-0.04802726467241006, 0.0899649513352393, -0.06073969128507986, 0.1101410516596635, 0.03358800098838576, -0.11552787684914038, 0.07309698064373918, 0.36041433032018594, -0.234232037288911, -0.28688878592956496, 0.016910070331812084, -0.299805973544268, -0.15107244097751127, 0.19310762924534908, 0.051432849278292024, 0.11358535824994366, 0.023460248347753322, 0.0780208084328347, -0.10919053073837814, -0.17893553067402668, 0.28113211341292027, 0.06639097704754088, 0.26267191731786155, 0.10282210770612919, 0.08839473427912917, 0.04527810545699918, 0.021185422933335047, 0.015252773582666036, -0.20903264566223664, 0.08561032237372844, 0.20834598048724773, 0.07214189470038716, 0.1733026964791927, -0.43685954150530587, -0.18521277618830104, 0.07533995190029402, 0.13959108225504044, 0.08577287871480348, -0.043326481649405266, -0.2254915261214756, 0.039318977900028945, -0.22147530345358404, -0.12283726930281663, -0.14309564161574445, 0.023385875395510392, 0.08576653966208897, -0.2256671242774969, 0.1332688442352845, -0.03981722169555724, 0.07060083041124675, -0.14758697292958217, -0.18597681625993048, -0.04619423167061913, 0.11492677522733448, -0.020989861790966017, 0.063199739656355, 0.1605282314402242, -0.1419329241209899, -0.08582218041564955, 0.34760313567492257, -0.09785488014479718, -0.27947045934768056, 0.10669011452111853, -0.11050778372684517, -0.09865088091534843, 0.11170305648302457, 0.06367322586544127, 0.10054353077851057, -0.17884598732982054, 0.12950366625074208, 0.06038133953754083, 0.09639847162179649, 0.11142104526936829, 0.0796114059995456, 0.14803053070622754, 0.03847804556724178, -0.05305048959969307, 0.2722484865842993, -0.056761464906340264, -0.18669895607843456, -0.292379230350615, -0.2056857358765261, -0.23540900161220546, 0.06899653909256659, -0.1033907337945252, -0.1882221249678363, 0.3650478744985962, 0.039541755007833794, 0.13801221924284138, 0.060850123583103516, 0.2732079141739621, 0.25449638720601797, 0.03909720139050609, 0.06684600895674653, 0.16997406696788517, 0.16127447544664414, 0.035699365739093485, -0.26660619239064764, 0.040277100448687396, 0.12569048443910139] |
1,802.00617 | Advanced Symbolic Time Series Analysis in Cyber Physical Systems | This paper presents advanced symbolic time series analysis (ASTSA) for large
data sets emanating from cyber physical systems (CPS). The definition of CPS
most pertinent to this paper is: A CPS is a system with a coupling of the cyber
aspects of computing and communications with the physical aspects of dynamics
and engineering that must abide by the laws of physics. This includes sensor
networks, real-time and hybrid systems. To ensure that the computation results
conform to the laws of physics a linear differential operator (LDO) is embedded
in the processing channel for each sensor. In this manner the dynamics of the
system can be incorporated prior to performing symbolic analysis. A non-linear
quantization is used for the intervals corresponding to the symbols. The
intervals are based on observed modes of the system, which can be determined
either during an exploratory phase or online during operation of the system. A
complete processing channel is called a single channel lexical analyser; one is
made available for each sensor on the machine being observed. The
implementation of LDO in the system is particularly important since it enables
the establishment of a causal link between the observations of the dynamic
system and their cause. Without causality there can be no semantics and without
semantics no knowledge acquisition based on the physical background of the
system being observed. Correlation alone is not a guarantee for causality. This
work was originally motivated from the observation of large bulk mate- rial
handling systems. Typically, there are $n = 150\dots250$ sensors per machine,
and data is collected in a multi rate manner; whereby general sensors are
sampled with $f_s = 1Hz$ and vibration data being sampled in the kilo-hertz
range.
| cs.CE | this paper presents advanced symbolic time series analysis astsa for large data sets emanating from cyber physical systems cps the definition of cps most pertinent to this paper is a cps is a system with a coupling of the cyber aspects of computing and communications with the physical aspects of dynamics and engineering that must abide by the laws of physics this includes sensor networks realtime and hybrid systems to ensure that the computation results conform to the laws of physics a linear differential operator ldo is embedded in the processing channel for each sensor in this manner the dynamics of the system can be incorporated prior to performing symbolic analysis a nonlinear quantization is used for the intervals corresponding to the symbols the intervals are based on observed modes of the system which can be determined either during an exploratory phase or online during operation of the system a complete processing channel is called a single channel lexical analyser one is made available for each sensor on the machine being observed the implementation of ldo in the system is particularly important since it enables the establishment of a causal link between the observations of the dynamic system and their cause without causality there can be no semantics and without semantics no knowledge acquisition based on the physical background of the system being observed correlation alone is not a guarantee for causality this work was originally motivated from the observation of large bulk mate rial handling systems typically there are n 150dots250 sensors per machine and data is collected in a multi rate manner whereby general sensors are sampled with f_s 1hz and vibration data being sampled in the kilohertz range | [['this', 'paper', 'presents', 'advanced', 'symbolic', 'time', 'series', 'analysis', 'astsa', 'for', 'large', 'data', 'sets', 'emanating', 'from', 'cyber', 'physical', 'systems', 'cps', 'the', 'definition', 'of', 'cps', 'most', 'pertinent', 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1,802.00618 | Separated quotients of Picard schemes | We give some necessary and sufficient conditions for the existence of
N\'{e}ron models of jacobians of semistable morphisms of arbitrary relative
dimension over base schemes of arbitrary dimension. To do this, we introduce a
notion of alignment for semistable morphisms over any regular base scheme, and
show that the jacobian of an aligned projective semistable morphism admits a
separated model with the N\'{e}ron mapping property. When the Picard scheme is
smooth over the base scheme along its unit section we show that the converse
holds.
| math.AG | we give some necessary and sufficient conditions for the existence of neron models of jacobians of semistable morphisms of arbitrary relative dimension over base schemes of arbitrary dimension to do this we introduce a notion of alignment for semistable morphisms over any regular base scheme and show that the jacobian of an aligned projective semistable morphism admits a separated model with the neron mapping property when the picard scheme is smooth over the base scheme along its unit section we show that the converse holds | [['we', 'give', 'some', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 'existence', 'of', 'neron', 'models', 'of', 'jacobians', 'of', 'semistable', 'morphisms', 'of', 'arbitrary', 'relative', 'dimension', 'over', 'base', 'schemes', 'of', 'arbitrary', 'dimension', 'to', 'do', 'this', 'we', 'introduce', 'a', 'notion', 'of', 'alignment', 'for', 'semistable', 'morphisms', 'over', 'any', 'regular', 'base', 'scheme', 'and', 'show', 'that', 'the', 'jacobian', 'of', 'an', 'aligned', 'projective', 'semistable', 'morphism', 'admits', 'a', 'separated', 'model', 'with', 'the', 'neron', 'mapping', 'property', 'when', 'the', 'picard', 'scheme', 'is', 'smooth', 'over', 'the', 'base', 'scheme', 'along', 'its', 'unit', 'section', 'we', 'show', 'that', 'the', 'converse', 'holds']] | [-0.23988131794201978, 0.017697808980729486, -0.10155691532965969, 0.03194458382752012, -0.07949871955275098, -0.21425306121544802, 0.0016472241813864778, 0.3814819306573447, -0.34790430053630295, -0.12860710993409158, 0.04977842640022145, -0.13324383134570192, -0.11524929162662695, 0.211303405626677, -0.19225443785681445, -0.02696205535424216, 0.05236485680729589, 0.07974578707533723, -0.1159934545867145, -0.3492119587163496, 0.46365083992919504, -0.06452105333480765, 0.2962555692668128, 0.07565072018872289, 0.20646175136241843, 0.051757949875558124, 0.0008357371285776881, -0.019016595699769608, -0.13273716478639364, 0.14774250560645563, 0.31426483677783196, 0.09999974076910054, 0.20731573291122912, -0.3392142275457873, -0.1781953453853288, 0.27185704769457086, 0.11274875594193444, 0.04011722719570732, 0.007000533825553515, -0.1966585931751658, 0.16732961394659737, -0.18020625243730404, -0.18448618368026526, -0.1061008153921541, 0.02208011511932401, 0.058568360861938666, -0.2957477885627133, -0.05788019191035453, 0.15820485677968998, 0.17556803187026698, -0.10274668996742763, -0.03323675286682213, -0.09891008827013566, 0.04725842270623509, -0.013161977007985114, 0.027881005647427896, 0.06007172258242088, -0.08560737728360383, -0.08772670299718704, 0.3423125355887939, -0.09518442709985024, -0.2461159441400977, 0.14003176251426339, -0.10993640134453445, -0.10680398664930288, 0.1674152254620019, 0.1009394839844283, 0.1884889489176738, 0.056381836256032866, 0.18522045727243977, -0.13376953882329604, 0.14708411191206644, 0.0971647908900837, 0.004306232734747669, 0.11094638487762389, 0.09256185817751376, 0.1379845144583241, 0.11251568684683126, -0.0645271798267084, -0.06240798607468605, -0.4057387597968473, -0.2083631605896003, -0.05051130257985171, 0.13857862788307315, -0.14266316820559202, -0.16540607866995474, 0.3933589576651524, 0.10556130318299813, 0.23459666438181612, 0.1772097116774496, 0.29635083639227294, 0.00256687536055003, 0.043722552965011666, 0.05203209657989004, 0.1376019917500397, 0.21799120848231457, -0.03546861510806005, -0.11165335026898367, 0.03295489978593062, 0.1958650515633909] |
1,802.00619 | Increased accuracy of planning tools for optimization of dynamic
multileaf collimator delivery of radiotherapy through reformulated objective
functions | The purpose of this study is to examine in a clinical setting a novel
formulation of objective functions for intensity-modulated radiotherapy
treatment plan multicriteria optimization (MCO) that we suggested in a recent
study. The proposed objective functions are extended with dynamic multileaf
collimator (DMLC) delivery constraints from the literature, and a tailored
interior point method is described to efficiently solve the resulting
optimization formulation. In a numerical planning study involving three patient
cases, DMLC plans Pareto optimal to the MCO formulation with the proposed
objective functions are generated. Evaluated based on pre-defined plan quality
indices, these DMLC plans are compared to conventionally generated DMLC plans.
Comparable or superior plan quality is observed. Supported by these results,
the proposed objective functions are argued to have a potential to streamline
the planning process, since they are designed to overcome the methodological
shortcomings associated with the conventional penalty-based objective functions
assumed to cause the current need for time-consuming trial-and-error parameter
tuning. In particular, the increased accuracy of the planning tools imposed by
the proposed objective functions has the potential to make the planning process
less complicated. These conclusions position the proposed formulation as an
alternative to existing methods for automated planning.
| math.OC physics.med-ph | the purpose of this study is to examine in a clinical setting a novel formulation of objective functions for intensitymodulated radiotherapy treatment plan multicriteria optimization mco that we suggested in a recent study the proposed objective functions are extended with dynamic multileaf collimator dmlc delivery constraints from the literature and a tailored interior point method is described to efficiently solve the resulting optimization formulation in a numerical planning study involving three patient cases dmlc plans pareto optimal to the mco formulation with the proposed objective functions are generated evaluated based on predefined plan quality indices these dmlc plans are compared to conventionally generated dmlc plans comparable or superior plan quality is observed supported by these results the proposed objective functions are argued to have a potential to streamline the planning process since they are designed to overcome the methodological shortcomings associated with the conventional penaltybased objective functions assumed to cause the current need for timeconsuming trialanderror parameter tuning in particular the increased accuracy of the planning tools imposed by the proposed objective functions has the potential to make the planning process less complicated these conclusions position the proposed formulation as an alternative to existing methods for automated planning | [['the', 'purpose', 'of', 'this', 'study', 'is', 'to', 'examine', 'in', 'a', 'clinical', 'setting', 'a', 'novel', 'formulation', 'of', 'objective', 'functions', 'for', 'intensitymodulated', 'radiotherapy', 'treatment', 'plan', 'multicriteria', 'optimization', 'mco', 'that', 'we', 'suggested', 'in', 'a', 'recent', 'study', 'the', 'proposed', 'objective', 'functions', 'are', 'extended', 'with', 'dynamic', 'multileaf', 'collimator', 'dmlc', 'delivery', 'constraints', 'from', 'the', 'literature', 'and', 'a', 'tailored', 'interior', 'point', 'method', 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1,802.0062 | D-type Conformal Matter and SU/USp Quivers | We discuss the four dimensional models obtained by compactifying a single M5
brane probing $D_{N}$ singularity (minimal D-type $(1,0)$ conformal matter in
six dimensions) on a torus with flux for abelian subgroups of the $SO(4N)$
flavor symmetry. We derive the resulting quiver field theories in four
dimensions by first compactifying on a circle and relating the flux to duality
domain walls in five dimensions. This leads to novel ${\cal N}=1$ dualities in
4 dimensions which arise from distinct five dimensional realizations of the
circle compactifications of the D-type conformal matter.
| hep-th | we discuss the four dimensional models obtained by compactifying a single m5 brane probing d_n singularity minimal dtype 10 conformal matter in six dimensions on a torus with flux for abelian subgroups of the so4n flavor symmetry we derive the resulting quiver field theories in four dimensions by first compactifying on a circle and relating the flux to duality domain walls in five dimensions this leads to novel cal n1 dualities in 4 dimensions which arise from distinct five dimensional realizations of the circle compactifications of the dtype conformal matter | [['we', 'discuss', 'the', 'four', 'dimensional', 'models', 'obtained', 'by', 'compactifying', 'a', 'single', 'm5', 'brane', 'probing', 'd_n', 'singularity', 'minimal', 'dtype', '10', 'conformal', 'matter', 'in', 'six', 'dimensions', 'on', 'a', 'torus', 'with', 'flux', 'for', 'abelian', 'subgroups', 'of', 'the', 'so4n', 'flavor', 'symmetry', 'we', 'derive', 'the', 'resulting', 'quiver', 'field', 'theories', 'in', 'four', 'dimensions', 'by', 'first', 'compactifying', 'on', 'a', 'circle', 'and', 'relating', 'the', 'flux', 'to', 'duality', 'domain', 'walls', 'in', 'five', 'dimensions', 'this', 'leads', 'to', 'novel', 'cal', 'n1', 'dualities', 'in', '4', 'dimensions', 'which', 'arise', 'from', 'distinct', 'five', 'dimensional', 'realizations', 'of', 'the', 'circle', 'compactifications', 'of', 'the', 'dtype', 'conformal', 'matter']] | [-0.14707092857505713, 0.18140287012275721, -0.007475709511588017, 0.06533221553157394, -0.052392126630163856, -0.16840114269095163, -0.022090112127544772, 0.30185812872627543, -0.14375985108264205, -0.2848850185258521, 0.12451267717794205, -0.25630852756504385, -0.12024419477416409, 0.08969137186908888, -0.10064685635475648, -0.04553290299243397, -0.07804495294888815, 0.04552871006049423, -0.13894038022133626, -0.30464345563410056, 0.39366515264328983, -0.10674919605565568, 0.27086043151794004, -0.00741969878371391, 0.09488578817496697, -0.044150357817610106, -0.027497063070121737, 0.025954582128259872, -0.16271215326463181, 0.16258705778875285, 0.19314282298166494, 0.037649829626186855, 0.03356334999617603, -0.44878262273139424, -0.24714028326011936, 0.09853644880155722, 0.19693606234957567, 0.08088153753196821, -0.009218459813079486, -0.27374529980330004, -0.0003665991127490997, -0.14375056341135253, -0.21989842714586605, -0.034650849434547125, 0.033673249481297615, -0.13294412129455144, -0.2265967914627658, 0.046743662254367435, 0.0014826535842277938, 0.11321572690374321, -0.04947009364000728, -0.08665640908810827, -0.08336591892358329, 0.046847531013190745, 0.12342391864189671, 0.0521187013015151, 0.09550381863308656, -0.18235209105332614, -0.19732980315263074, 0.35824112666563857, -0.056186708259499736, -0.2186510417610407, 0.2013993688251099, -0.1804395448933873, -0.2243333605480277, 0.13542825841965775, 0.08688369244337082, 0.17238593882001524, -0.08764259363007214, 0.21821929778218166, -0.06002776151419514, 0.10433277904004272, 0.15251037448437677, -0.007054029208504491, 0.27006183108314874, 0.13336200528105513, 0.03469373576032619, 0.16581787667908227, -0.07886094882075365, -0.09452731571574179, -0.42249953655733, -0.1420744874682795, -0.0788582933963173, 0.1688238562317565, -0.22334802868863335, -0.11288872035220265, 0.4247821354203754, 0.05145868374933747, 0.19172639014690906, 0.04823580727129916, 0.1649345436650846, 0.04967035990622309, 0.0986791760660708, 0.02894295141644155, 0.19091736796674216, 0.14357663245561222, 0.014712646016333666, -0.19680115428184056, -0.26230485926175284, 0.23328704186197785] |
1,802.00621 | K2 photometry and HERMES spectroscopy of the blue supergiant rho Leo:
rotational wind modulation and low-frequency waves | We present an 80-d long uninterrupted high-cadence K2 light curve of the
B1Iab supergiant rho Leo (HD 91316), deduced with the method of halo
photometry. This light curve reveals a dominant frequency of
$f_{\rmrot}=0.0373$d$^{-1}$ and its harmonics. This dominant frequency
corresponds with a rotation period of 26.8d and is subject to amplitude and
phase modulation. The K2 photometry additionally reveals multiperiodic
low-frequency variability ($<1.5 $d$^{-1}$) and is in full agreement with
low-cadence high-resolution spectroscopy assembled during 1800 days. The
spectroscopy reveals rotational modulation by a dynamic aspherical wind with an
amplitude of about 20km s$^{-1}$ in the H$\alpha$ line, as well as photospheric
velocity variations of a few km s$^{-1}$ at frequencies in the range 0.2 to 0.6
d$^{-1}$ in the SiIII 4567\AA\ line. Given the large macroturbulence needed to
explain the spectral line broadening of the star, we interpret the detected
photospheric velocity as due to travelling super-inertial low-degree
large-scale gravity waves with dominant tangential amplitudes and discuss why
$\rho$~Leo is an excellent target to study how the observed photospheric
variability propagates into the wind.
| astro-ph.SR | we present an 80d long uninterrupted highcadence k2 light curve of the b1iab supergiant rho leo hd 91316 deduced with the method of halo photometry this light curve reveals a dominant frequency of f_rmrot00373d1 and its harmonics this dominant frequency corresponds with a rotation period of 268d and is subject to amplitude and phase modulation the k2 photometry additionally reveals multiperiodic lowfrequency variability 15 d1 and is in full agreement with lowcadence highresolution spectroscopy assembled during 1800 days the spectroscopy reveals rotational modulation by a dynamic aspherical wind with an amplitude of about 20km s1 in the halpha line as well as photospheric velocity variations of a few km s1 at frequencies in the range 02 to 06 d1 in the siiii 4567aa line given the large macroturbulence needed to explain the spectral line broadening of the star we interpret the detected photospheric velocity as due to travelling superinertial lowdegree largescale gravity waves with dominant tangential amplitudes and discuss why rholeo is an excellent target to study how the observed photospheric variability propagates into the wind | [['we', 'present', 'an', '80d', 'long', 'uninterrupted', 'highcadence', 'k2', 'light', 'curve', 'of', 'the', 'b1iab', 'supergiant', 'rho', 'leo', 'hd', '91316', 'deduced', 'with', 'the', 'method', 'of', 'halo', 'photometry', 'this', 'light', 'curve', 'reveals', 'a', 'dominant', 'frequency', 'of', 'f_rmrot00373d1', 'and', 'its', 'harmonics', 'this', 'dominant', 'frequency', 'corresponds', 'with', 'a', 'rotation', 'period', 'of', '268d', 'and', 'is', 'subject', 'to', 'amplitude', 'and', 'phase', 'modulation', 'the', 'k2', 'photometry', 'additionally', 'reveals', 'multiperiodic', 'lowfrequency', 'variability', '15', 'd1', 'and', 'is', 'in', 'full', 'agreement', 'with', 'lowcadence', 'highresolution', 'spectroscopy', 'assembled', 'during', '1800', 'days', 'the', 'spectroscopy', 'reveals', 'rotational', 'modulation', 'by', 'a', 'dynamic', 'aspherical', 'wind', 'with', 'an', 'amplitude', 'of', 'about', '20km', 's1', 'in', 'the', 'halpha', 'line', 'as', 'well', 'as', 'photospheric', 'velocity', 'variations', 'of', 'a', 'few', 'km', 's1', 'at', 'frequencies', 'in', 'the', 'range', '02', 'to', '06', 'd1', 'in', 'the', 'siiii', '4567aa', 'line', 'given', 'the', 'large', 'macroturbulence', 'needed', 'to', 'explain', 'the', 'spectral', 'line', 'broadening', 'of', 'the', 'star', 'we', 'interpret', 'the', 'detected', 'photospheric', 'velocity', 'as', 'due', 'to', 'travelling', 'superinertial', 'lowdegree', 'largescale', 'gravity', 'waves', 'with', 'dominant', 'tangential', 'amplitudes', 'and', 'discuss', 'why', 'rholeo', 'is', 'an', 'excellent', 'target', 'to', 'study', 'how', 'the', 'observed', 'photospheric', 'variability', 'propagates', 'into', 'the', 'wind']] | [-0.1448448726841243, 0.1459906359154768, -0.06252164366385023, 0.053110214074957876, -0.11543809028463603, -0.10290478891555287, 0.05180964034709242, 0.4348872106235761, -0.20908652478829026, -0.3090332993829744, 0.07842523148751779, -0.25663028499380186, -0.07421447333229496, 0.228763919880272, -0.057056807976260164, -0.022931113182332853, 0.08474465596114875, -0.01957259462738531, -0.03166067737606547, -0.167065799520103, 0.2242010422254163, 0.058144880804514305, 0.16998380096491492, -0.017129103416169182, 0.05747396663690989, -0.05309288087714265, -0.07456294829442618, -0.05351189821517679, -0.1452953477070485, 0.05463755227688744, 0.2081152991523977, 0.09358761083202426, 0.17000831870538508, -0.33724914830089847, -0.24942014035190174, 0.037087555401600324, 0.19726578283713325, 0.045348474973559205, 0.033408787638808675, -0.25048215771865473, 0.02967521577753876, -0.1273958237549654, -0.23481800397527378, 0.020749139487219855, 0.11234574809053241, 0.029415381233312585, -0.2279544050843846, 0.12103676916714537, 0.007263522416755513, 0.19808328642162698, -0.11283920611152921, -0.08114341993061219, -0.07744852194325591, 0.059972969331563666, 0.07113455336943225, 0.10172797747634175, 0.08043341684711755, -0.08024183236690756, -0.009631634854502183, 0.4121794023994665, -0.17225581000024487, 0.012757561074503692, 0.15795688172416575, -0.2190623435332335, -0.10071252437842977, 0.23319139142008222, 0.1326962392942528, 0.09479323731729838, -0.09667376411414688, -0.0348583407422456, 0.013811183754442888, 0.2641452051170126, 0.09215108142647693, 0.05376917256290174, 0.28879653515305215, 0.10655941264552324, 0.019173124723808742, 0.08031733403224829, -0.31078860247452583, -0.00017668762982729272, -0.24812475961120523, -0.06679889183634749, -0.0925386602047985, 0.07099431759495972, -0.12321975226154118, -0.1274808915152859, 0.4040807664184969, 0.09581419481887597, 0.23710409879199498, 0.010875226526118859, 0.31269520196027656, 0.13270973994674923, 0.0557805752742811, 0.09697567269697885, 0.2989279429742394, 0.2378143450953397, 0.17557422566426004, -0.27799064214975083, 0.021912068032147087, -0.024686913539864918] |
1,802.00622 | The geometry of degenerations of Hilbert schemes of points | Given a strict simple degeneration $f \colon X\to C$ the first three authors
previously constructed a degeneration $I^n_{X/C} \to C$ of the relative degree
$n$ Hilbert scheme of $0$-dimensional subschemes. In this paper we investigate
the geometry of this degeneration, in particular when the fibre dimension of
$f$ is at most $2$. In this case we show that $I^n_{X/C} \to C$ is a dlt model.
This is even a good minimal dlt model if $f \colon X \to C$ has this property.
We compute the dual complex of the central fibre $(I^n_{X/C})_0$ and relate
this to the essential skeleton of the generic fibre. For a type II degeneration
of $K3$ surfaces we show that the stack ${\mathcal I}^n_{X/C} \to C$ carries a
nowhere degenerate relative logarithmic $2$-form. Finally we discuss the
relationship of our degeneration with the constructions of Nagai.
| math.AG | given a strict simple degeneration f colon xto c the first three authors previously constructed a degeneration in_xc to c of the relative degree n hilbert scheme of 0dimensional subschemes in this paper we investigate the geometry of this degeneration in particular when the fibre dimension of f is at most 2 in this case we show that in_xc to c is a dlt model this is even a good minimal dlt model if f colon x to c has this property we compute the dual complex of the central fibre in_xc_0 and relate this to the essential skeleton of the generic fibre for a type ii degeneration of k3 surfaces we show that the stack mathcal in_xc to c carries a nowhere degenerate relative logarithmic 2form finally we discuss the relationship of our degeneration with the constructions of nagai | [['given', 'a', 'strict', 'simple', 'degeneration', 'f', 'colon', 'xto', 'c', 'the', 'first', 'three', 'authors', 'previously', 'constructed', 'a', 'degeneration', 'in_xc', 'to', 'c', 'of', 'the', 'relative', 'degree', 'n', 'hilbert', 'scheme', 'of', '0dimensional', 'subschemes', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'geometry', 'of', 'this', 'degeneration', 'in', 'particular', 'when', 'the', 'fibre', 'dimension', 'of', 'f', 'is', 'at', 'most', '2', 'in', 'this', 'case', 'we', 'show', 'that', 'in_xc', 'to', 'c', 'is', 'a', 'dlt', 'model', 'this', 'is', 'even', 'a', 'good', 'minimal', 'dlt', 'model', 'if', 'f', 'colon', 'x', 'to', 'c', 'has', 'this', 'property', 'we', 'compute', 'the', 'dual', 'complex', 'of', 'the', 'central', 'fibre', 'in_xc_0', 'and', 'relate', 'this', 'to', 'the', 'essential', 'skeleton', 'of', 'the', 'generic', 'fibre', 'for', 'a', 'type', 'ii', 'degeneration', 'of', 'k3', 'surfaces', 'we', 'show', 'that', 'the', 'stack', 'mathcal', 'in_xc', 'to', 'c', 'carries', 'a', 'nowhere', 'degenerate', 'relative', 'logarithmic', '2form', 'finally', 'we', 'discuss', 'the', 'relationship', 'of', 'our', 'degeneration', 'with', 'the', 'constructions', 'of', 'nagai']] | [-0.18688283012694137, 0.0183500769337063, -0.052363128682745876, 0.026969122659354704, -0.02630979755370737, -0.17306038309826696, 0.007972981851328526, 0.34279321377641325, -0.3116582748911464, -0.14810910061832597, 0.06424400913143839, -0.24009950175586578, -0.1823121072379403, 0.16937439079671132, -0.16944566815455023, -0.02600863112535381, 0.022349001176440886, 0.06672502070558158, -0.09344815949426977, -0.28470110014690714, 0.39483417890858735, -0.03507040642041097, 0.24460956040207002, 0.0662495236167108, 0.11341900715148813, -0.011135260862626617, 0.025867848306988104, -0.020660505378819843, -0.17806276818454725, 0.15898862798704946, 0.24924243451263622, 0.113700947301335, 0.1909689661115408, -0.3240770305219616, -0.1581419972382928, 0.2030628812934855, 0.1071320408486205, 0.04161778528523035, 0.017011727424164257, -0.16852160951745757, 0.14282968793091155, -0.16837024250791807, -0.1695420175837688, -0.05223101431758498, 0.0760153278092043, 0.013022949490294183, -0.25624890230669767, -0.03891345748021234, 0.1012909098989171, 0.09033406023840627, 0.005615921059569759, -0.049760402701192086, -0.10200242485294936, 0.04578013166558272, -0.011367316116585577, 0.12836907633158157, 0.060003394351454735, -0.12492116064288848, -0.04536627792240717, 0.3526162539421172, -0.10852189692199606, -0.21281408781199146, 0.16971575176986536, -0.1770827357913535, -0.16213274146463696, 0.10509111378475916, 0.10907669246813162, 0.18908523117935808, -0.039802465271795165, 0.1828683268529256, -0.07721052790837858, 0.11717271343838397, 0.07895106286239281, -0.04433267937115521, 0.10045879411095714, 0.13252603768860158, 0.03708234015624407, 0.14240269125740734, -0.07214536793905196, -0.023713418661127632, -0.40484860191027894, -0.2434073045595194, -0.10230633434538039, 0.15916392555219128, -0.09868167784295745, -0.15524436053049437, 0.40773867049828494, 0.07815235681001016, 0.2562100991343731, 0.07783501845844787, 0.24321424685713414, 0.06426042570018967, 0.02220115564150481, 0.040053780452790504, 0.1620746405607612, 0.13824747643507213, -0.014129987465579518, -0.18027076694365632, 0.009397442023799146, 0.14177880734004242] |
1,802.00623 | On the origin of phosphorus nitride in star-forming regions | We present multi-transition observations of PN towards a sample of nine
massive dense cores in different evolutionary stages. Using transitions with
different excitation conditions, we have found for the first time that the
excitation temperatures of PN are in the range 5-30 K. To investigate the main
chemical route for the PN formation (surface-chemistry vs. gas-phase
chemistry), and the dominant desorption mechanism (thermal vs. shock), we have
compared our results with those obtained from molecules tracing different
chemical and physical conditions (SiO, SO, CH3OH, and N2H+). We have found that
the PN line profiles are very well correlated with those of SiO and SO in six
out of the nine targets, which indicates that PN may be released by sputtering
of dust grains due to shocks. This finding is corroborated by a faint but
statistically significant positive trend between the PN abundance and those of
SiO and SO. However, in three objects the PN lines have no hints of high
velocity wings, which indicates an alternative origin of PN. Overall, our
results indicate that the origin of PN is not unique, as it can be formed in
protostellar shocks, but also in colder and more quiescent gas through
alternative pathways.
| astro-ph.GA astro-ph.SR | we present multitransition observations of pn towards a sample of nine massive dense cores in different evolutionary stages using transitions with different excitation conditions we have found for the first time that the excitation temperatures of pn are in the range 530 k to investigate the main chemical route for the pn formation surfacechemistry vs gasphase chemistry and the dominant desorption mechanism thermal vs shock we have compared our results with those obtained from molecules tracing different chemical and physical conditions sio so ch3oh and n2h we have found that the pn line profiles are very well correlated with those of sio and so in six out of the nine targets which indicates that pn may be released by sputtering of dust grains due to shocks this finding is corroborated by a faint but statistically significant positive trend between the pn abundance and those of sio and so however in three objects the pn lines have no hints of high velocity wings which indicates an alternative origin of pn overall our results indicate that the origin of pn is not unique as it can be formed in protostellar shocks but also in colder and more quiescent gas through alternative pathways | [['we', 'present', 'multitransition', 'observations', 'of', 'pn', 'towards', 'a', 'sample', 'of', 'nine', 'massive', 'dense', 'cores', 'in', 'different', 'evolutionary', 'stages', 'using', 'transitions', 'with', 'different', 'excitation', 'conditions', 'we', 'have', 'found', 'for', 'the', 'first', 'time', 'that', 'the', 'excitation', 'temperatures', 'of', 'pn', 'are', 'in', 'the', 'range', '530', 'k', 'to', 'investigate', 'the', 'main', 'chemical', 'route', 'for', 'the', 'pn', 'formation', 'surfacechemistry', 'vs', 'gasphase', 'chemistry', 'and', 'the', 'dominant', 'desorption', 'mechanism', 'thermal', 'vs', 'shock', 'we', 'have', 'compared', 'our', 'results', 'with', 'those', 'obtained', 'from', 'molecules', 'tracing', 'different', 'chemical', 'and', 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1,802.00624 | When can $l_p$-norm objective functions be minimized via graph cuts? | Techniques based on minimal graph cuts have become a standard tool for
solving combinatorial optimization problems arising in image processing and
computer vision applications. These techniques can be used to minimize
objective functions written as the sum of a set of unary and pairwise terms,
provided that the objective function is submodular. This can be interpreted as
minimizing the $l_1$-norm of the vector containing all pairwise and unary
terms. By raising each term to a power $p$, the same technique can also be used
to minimize the $l_p$-norm of the vector. Unfortunately, the submodularity of
an $l_1$-norm objective function does not guarantee the submodularity of the
corresponding $l_p$-norm objective function. The contribution of this paper is
to provide useful conditions under which an $l_p$-norm objective function is
submodular for all $p\geq 1$, thereby identifying a large class of $l_p$-norm
objective functions that can be minimized via minimal graph cuts.
| cs.DS cs.CV | techniques based on minimal graph cuts have become a standard tool for solving combinatorial optimization problems arising in image processing and computer vision applications these techniques can be used to minimize objective functions written as the sum of a set of unary and pairwise terms provided that the objective function is submodular this can be interpreted as minimizing the l_1norm of the vector containing all pairwise and unary terms by raising each term to a power p the same technique can also be used to minimize the l_pnorm of the vector unfortunately the submodularity of an l_1norm objective function does not guarantee the submodularity of the corresponding l_pnorm objective function the contribution of this paper is to provide useful conditions under which an l_pnorm objective function is submodular for all pgeq 1 thereby identifying a large class of l_pnorm objective functions that can be minimized via minimal graph cuts | [['techniques', 'based', 'on', 'minimal', 'graph', 'cuts', 'have', 'become', 'a', 'standard', 'tool', 'for', 'solving', 'combinatorial', 'optimization', 'problems', 'arising', 'in', 'image', 'processing', 'and', 'computer', 'vision', 'applications', 'these', 'techniques', 'can', 'be', 'used', 'to', 'minimize', 'objective', 'functions', 'written', 'as', 'the', 'sum', 'of', 'a', 'set', 'of', 'unary', 'and', 'pairwise', 'terms', 'provided', 'that', 'the', 'objective', 'function', 'is', 'submodular', 'this', 'can', 'be', 'interpreted', 'as', 'minimizing', 'the', 'l_1norm', 'of', 'the', 'vector', 'containing', 'all', 'pairwise', 'and', 'unary', 'terms', 'by', 'raising', 'each', 'term', 'to', 'a', 'power', 'p', 'the', 'same', 'technique', 'can', 'also', 'be', 'used', 'to', 'minimize', 'the', 'l_pnorm', 'of', 'the', 'vector', 'unfortunately', 'the', 'submodularity', 'of', 'an', 'l_1norm', 'objective', 'function', 'does', 'not', 'guarantee', 'the', 'submodularity', 'of', 'the', 'corresponding', 'l_pnorm', 'objective', 'function', 'the', 'contribution', 'of', 'this', 'paper', 'is', 'to', 'provide', 'useful', 'conditions', 'under', 'which', 'an', 'l_pnorm', 'objective', 'function', 'is', 'submodular', 'for', 'all', 'pgeq', '1', 'thereby', 'identifying', 'a', 'large', 'class', 'of', 'l_pnorm', 'objective', 'functions', 'that', 'can', 'be', 'minimized', 'via', 'minimal', 'graph', 'cuts']] | [-0.09230218845225821, 0.014972620291499447, -0.07898898791496786, 0.12276927875933057, -0.10837897405515881, -0.12338486711975911, 0.005230194758530081, 0.3669753661441723, -0.37089187480609287, -0.3071222865591513, 0.09294498318121862, -0.25624333911156594, -0.17697356789116592, 0.18376220970870866, -0.11809828302404224, 0.1545839465329511, 0.05106083183055556, 0.04329120823914254, -0.08132168117221313, -0.30703700884696933, 0.30163837131737864, -0.0013522133106153283, 0.23215970022591367, 0.09680035375425868, 0.10717290724727681, 0.07081748937387894, 0.02825391189751509, 0.07428410457995652, -0.09793841202585918, 0.13657930336780097, 0.32436188554153744, 0.2636881011800728, 0.3601613714246508, -0.397793145981561, -0.17351960981477227, 0.21899326586933343, 0.11489599869405263, 0.00984016757992865, 0.0089148673292987, -0.19910996122560745, 0.12659845818709206, -0.11559149019276385, -0.02066423961480192, -0.0854399460117839, -0.04505372890615023, 0.06704900089351323, -0.36985980547127006, 0.0181931344635594, 0.06544952088265349, 0.021973961714230127, -0.054948829467589624, -0.18241171932297964, 0.024059799782644282, 0.11352563879746419, 0.049126087470705175, 0.14892661058962745, 0.12017124687671511, -0.13795804554571542, -0.14079843540582182, 0.3749147527069853, -0.04685582019288668, -0.2969639690705394, 0.13023900735385766, -0.01801542876344549, -0.10735984012522054, 0.11743278932545159, 0.20565432432613917, 0.14753627957738685, -0.19611825275816172, 0.1005589199715744, -0.05252523962158285, 0.15324339283717758, 0.06579465570940868, 0.07102383487551604, 0.15684749078061808, 0.08780452919398878, 0.16218503759767636, 0.1983557725981528, 0.00034074511085230633, -0.028842145439562383, -0.31940857535181255, -0.12519820474538226, -0.2565751029600408, 0.005949069403722139, -0.11353755927921645, -0.17256468456338517, 0.3901088724550385, 0.08326736005373149, 0.1843942106926451, 0.1203055584673526, 0.30250356901880826, 0.18804894876558936, 0.11061041505582281, 0.045203927988749025, 0.16971211991391627, 0.09860535405870002, 0.01853986519807637, -0.18357981753773087, 0.10440768346177952, 0.10951007971690105] |
1,802.00625 | Real-Time-Data Analytics in Raw Materials Handling | This paper proposes a system for the ingestion and analysis of real-time
sensor and actor data of bulk materials handling plants and machinery. It
references issues that concern mining sensor data in cyber physical systems
(CPS). The advance of cyber physical systems has created a significant change
in the architecture of sensor and actor data. It affects the complexity of the
observed systems in general, the number of signals being processed, the spatial
distribution of the signal sources on a machine or plant and the global
availability of the data. There are different definitions for what constitutes
cyber physical systems: the most succinct and pertinent to the work shown in
this paper is the definition given by the IEEE: A CPS is a system with a
coupling of the cyber aspects of computing and communications with the physical
aspects of dynamics and engineering that must abide by the laws of physics.
This includes sensor networks, real-time and hybrid systems. Results computed
from sensor and actor data must obey the equations used for modelling the
physics of the observed system - this fundamentally poses an inverse problem.
Such problems are not covered sufficiently by literature addressing mining of
sensor data. Even available standard books on mining sensor data do not discuss
the special nature of sensor data. Typically, present approaches of mining data
rely on correlation as being a sole, reliable measure for significance. It is
not taken into account that the inverse solutions to the model-describing
equations are required to establish a semantic link between a sensor
observation and its precedent cause. Without this link - without causality -
there can be no physics based knowledge discovery.
| eess.SP | this paper proposes a system for the ingestion and analysis of realtime sensor and actor data of bulk materials handling plants and machinery it references issues that concern mining sensor data in cyber physical systems cps the advance of cyber physical systems has created a significant change in the architecture of sensor and actor data it affects the complexity of the observed systems in general the number of signals being processed the spatial distribution of the signal sources on a machine or plant and the global availability of the data there are different definitions for what constitutes cyber physical systems the most succinct and pertinent to the work shown in this paper is the definition given by the ieee a cps is a system with a coupling of the cyber aspects of computing and communications with the physical aspects of dynamics and engineering that must abide by the laws of physics this includes sensor networks realtime and hybrid systems results computed from sensor and actor data must obey the equations used for modelling the physics of the observed system this fundamentally poses an inverse problem such problems are not covered sufficiently by literature addressing mining of sensor data even available standard books on mining sensor data do not discuss the special nature of sensor data typically present approaches of mining data rely on correlation as being a sole reliable measure for significance it is not taken into account that the inverse solutions to the modeldescribing equations are required to establish a semantic link between a sensor observation and its precedent cause without this link without causality there can be no physics based knowledge discovery | [['this', 'paper', 'proposes', 'a', 'system', 'for', 'the', 'ingestion', 'and', 'analysis', 'of', 'realtime', 'sensor', 'and', 'actor', 'data', 'of', 'bulk', 'materials', 'handling', 'plants', 'and', 'machinery', 'it', 'references', 'issues', 'that', 'concern', 'mining', 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1,802.00626 | Text Entry in Immersive Head-Mounted Display-based Virtual Reality using
Standard Keyboards | We study the performance and user experience of two popular mainstream text
entry devices, desktop keyboards and touchscreen keyboards, for use in Virtual
Reality (VR) applications. We discuss the limitations arising from limited
visual feedback, and examine the efficiency of different strategies of use. We
analyze a total of 24 hours of typing data in VR from 24 participants and find
that novice users are able to retain about 60% of their typing speed on a
desktop keyboard and about 40-45\% of their typing speed on a touchscreen
keyboard. We also find no significant learning effects, indicating that users
can transfer their typing skills fast into VR. Besides investigating baseline
performances, we study the position in which keyboards and hands are rendered
in space. We find that this does not adversely affect performance for desktop
keyboard typing and results in a performance trade-off for touchscreen keyboard
typing.
| cs.HC | we study the performance and user experience of two popular mainstream text entry devices desktop keyboards and touchscreen keyboards for use in virtual reality vr applications we discuss the limitations arising from limited visual feedback and examine the efficiency of different strategies of use we analyze a total of 24 hours of typing data in vr from 24 participants and find that novice users are able to retain about 60 of their typing speed on a desktop keyboard and about 4045 of their typing speed on a touchscreen keyboard we also find no significant learning effects indicating that users can transfer their typing skills fast into vr besides investigating baseline performances we study the position in which keyboards and hands are rendered in space we find that this does not adversely affect performance for desktop keyboard typing and results in a performance tradeoff for touchscreen keyboard typing | [['we', 'study', 'the', 'performance', 'and', 'user', 'experience', 'of', 'two', 'popular', 'mainstream', 'text', 'entry', 'devices', 'desktop', 'keyboards', 'and', 'touchscreen', 'keyboards', 'for', 'use', 'in', 'virtual', 'reality', 'vr', 'applications', 'we', 'discuss', 'the', 'limitations', 'arising', 'from', 'limited', 'visual', 'feedback', 'and', 'examine', 'the', 'efficiency', 'of', 'different', 'strategies', 'of', 'use', 'we', 'analyze', 'a', 'total', 'of', '24', 'hours', 'of', 'typing', 'data', 'in', 'vr', 'from', '24', 'participants', 'and', 'find', 'that', 'novice', 'users', 'are', 'able', 'to', 'retain', 'about', '60', 'of', 'their', 'typing', 'speed', 'on', 'a', 'desktop', 'keyboard', 'and', 'about', '4045', 'of', 'their', 'typing', 'speed', 'on', 'a', 'touchscreen', 'keyboard', 'we', 'also', 'find', 'no', 'significant', 'learning', 'effects', 'indicating', 'that', 'users', 'can', 'transfer', 'their', 'typing', 'skills', 'fast', 'into', 'vr', 'besides', 'investigating', 'baseline', 'performances', 'we', 'study', 'the', 'position', 'in', 'which', 'keyboards', 'and', 'hands', 'are', 'rendered', 'in', 'space', 'we', 'find', 'that', 'this', 'does', 'not', 'adversely', 'affect', 'performance', 'for', 'desktop', 'keyboard', 'typing', 'and', 'results', 'in', 'a', 'performance', 'tradeoff', 'for', 'touchscreen', 'keyboard', 'typing']] | [-0.08833648137855946, -8.161043507509492e-06, -0.0662901546444972, 0.07362427087548208, -0.1628519732277004, -0.23405661776053663, 0.14565227572888542, 0.4834105631171846, -0.23369910906316066, -0.3919741542262285, 0.0644500157708733, -0.29693365939671085, -0.13662648951115253, 0.24470226323472805, -0.18712809720143145, -0.010029891991297252, 0.11304563464403634, 0.046887551223681795, -0.09522700640626353, -0.2474441965566758, 0.2635901039006936, -0.012792388761264026, 0.28080205171413364, 0.07653293922958503, 0.056480962020459075, 0.016064138284751346, -0.04292978475275798, -0.025757880554555086, -0.05339230589411613, 0.10169389188134421, 0.26693039699806037, 0.23529790046618504, 0.31861379961697994, -0.4562942239196122, -0.12767085313264812, 0.021083058241349296, 0.15563357589753712, 0.05030683054490535, -0.07938937582930893, -0.3111798734131719, 0.11993598497035551, -0.23786633277349933, -0.03659911658826718, -0.06669860230133152, 0.030899096590777237, 0.045530898432918215, -0.20404137452418097, -0.03984644496041274, 0.038431046540107656, 0.17111034529777813, -0.03269885612311567, -0.0872678960781215, 0.031773472851028245, 0.24385739082381838, 0.05683728090493756, -0.04748337868748385, 0.1990725920079466, -0.2087902653959206, -0.13750083007070482, 0.4240988870943282, 0.0004433060609767226, -0.16220209736148922, 0.25512300057140286, -0.07621657971584168, -0.06367151401810298, 0.08388123769062844, 0.26469612947378474, 0.08973811249102966, -0.1375035920345104, -0.012299357700798357, 0.019584745390429384, 0.2581602951387406, 0.11297788946306472, 0.06839534000661478, 0.15077154094600403, 0.18436452646289958, -0.027434355104152038, 0.09751225563184339, -0.08485358628146604, -0.050732123095314115, -0.2194942454205585, -0.19760921101408954, -0.10957769286774453, -0.0061795049057727, -0.11294536950982566, -0.10789669525562501, 0.37579497275240464, 0.25585510853842713, 0.11374016018540022, 0.11902029241584115, 0.3623514694801601, -0.005067406371109137, 0.14129063421321816, 0.1092865922960269, 0.2077408159519134, -0.08008874167821237, 0.24181778152428923, -0.18424317644604918, 0.0805119799836507, -0.02206732537343997] |
1,802.00627 | Evidence of a multiple boson emission in Sm$_{1-x}$Th$_x$OFeAs | We studied a reproducible fine structure observed in dynamic conductance
spectra of Andreev arrays in Sm$_{1-x}$Th$_x$OFeAs superconductors with various
thorium concentrations ($x = 0.08 - 0.3$) and critical temperatures $T_c =
26-50$\,K. This structure is unambiguously caused by a multiple boson emission
(of the same energy) during the process of multiple Andreev reflections. The
directly determined energy of the bosonic mode reaches $\varepsilon_0 = 14.8
\pm 2.2$\,meV for optimal compound. Within the studied range of $T_c$, this
energy as well as the large $\Delta_L$ and the small $\Delta_S$ superconducting
gaps, nearly scales with critical temperature with the characteristic ratio
$\varepsilon_0/k_BT_c \approx 3.2$ (and $2\Delta_L/k_BT_c \approx 5.3$,
correspondingly) resembling the expected energy $\Delta_L + \Delta_S$ of spin
resonance and spectral density enhancement in $s^{\pm}$ and $s^{++}$ states,
respectively.
| cond-mat.supr-con | we studied a reproducible fine structure observed in dynamic conductance spectra of andreev arrays in sm_1xth_xofeas superconductors with various thorium concentrations x 008 03 and critical temperatures t_c 2650k this structure is unambiguously caused by a multiple boson emission of the same energy during the process of multiple andreev reflections the directly determined energy of the bosonic mode reaches varepsilon_0 148 pm 22mev for optimal compound within the studied range of t_c this energy as well as the large delta_l and the small delta_s superconducting gaps nearly scales with critical temperature with the characteristic ratio varepsilon_0k_bt_c approx 32 and 2delta_lk_bt_c approx 53 correspondingly resembling the expected energy delta_l delta_s of spin resonance and spectral density enhancement in spm and s states respectively | [['we', 'studied', 'a', 'reproducible', 'fine', 'structure', 'observed', 'in', 'dynamic', 'conductance', 'spectra', 'of', 'andreev', 'arrays', 'in', 'sm_1xth_xofeas', 'superconductors', 'with', 'various', 'thorium', 'concentrations', 'x', '008', '03', 'and', 'critical', 'temperatures', 't_c', '2650k', 'this', 'structure', 'is', 'unambiguously', 'caused', 'by', 'a', 'multiple', 'boson', 'emission', 'of', 'the', 'same', 'energy', 'during', 'the', 'process', 'of', 'multiple', 'andreev', 'reflections', 'the', 'directly', 'determined', 'energy', 'of', 'the', 'bosonic', 'mode', 'reaches', 'varepsilon_0', '148', 'pm', '22mev', 'for', 'optimal', 'compound', 'within', 'the', 'studied', 'range', 'of', 't_c', 'this', 'energy', 'as', 'well', 'as', 'the', 'large', 'delta_l', 'and', 'the', 'small', 'delta_s', 'superconducting', 'gaps', 'nearly', 'scales', 'with', 'critical', 'temperature', 'with', 'the', 'characteristic', 'ratio', 'varepsilon_0k_bt_c', 'approx', '32', 'and', '2delta_lk_bt_c', 'approx', '53', 'correspondingly', 'resembling', 'the', 'expected', 'energy', 'delta_l', 'delta_s', 'of', 'spin', 'resonance', 'and', 'spectral', 'density', 'enhancement', 'in', 'spm', 'and', 's', 'states', 'respectively']] | [-0.1881805363421639, 0.2477308113477193, 0.003746055803882579, 0.05870982870748473, 0.030834932904690505, -0.12272726357526456, 0.11733201148648126, 0.33455456284185253, -0.24849083168276895, -0.3809840953287979, 0.0038613625656580552, -0.31379772695557523, -0.009178287314716727, 0.1608228931707951, 0.06151900011075971, 0.0516545359059819, -0.053492236975580455, 0.012339583195959373, -0.09962356594041921, -0.13290750068845228, 0.2729558372714867, 0.06722340305956702, 0.30796127636373666, 0.0841527492137781, 0.037382621502911204, -0.017912938775649916, 0.1062876762317804, -0.008148539223475382, -0.18009966025905064, -1.918286579893902e-05, 0.28419259915438794, -0.08990642099330823, 0.16438851467100904, -0.3306405021925457, -0.1551886014349293, 0.054232993023470046, 0.14910181016894059, 0.018551873881369828, 0.008320397177400688, -0.2744963234600922, 0.07797887689278772, -0.12731714638260502, -0.12884370759905625, -0.018217843955305093, 0.01927524369287615, -0.02612543823682548, -0.24734974016416042, 0.18975556135022392, 0.005879228170185039, 0.08645254284298669, -0.09585244191500047, -0.21601246719170983, -0.06833473032553836, 0.008772398803072672, 0.02542832474937313, 0.03494408444967121, 0.1498231514861497, -0.08961734214487176, -0.06587079146508283, 0.31862135003708925, -0.0994301982029962, -0.014311690827162238, 0.12574042775280153, -0.21394666061969475, -0.05895909611135721, 0.2335256463867457, 0.08541104521670301, 0.0735277821974402, -0.11402003798187556, 0.06895520842081168, 0.01026016157217479, 0.2259620993087689, 0.11967780318615648, 0.09751326322342115, 0.23281035774465028, 0.1693546826330324, 0.018211221993745617, 0.07597098018353184, -0.196115931274835, -0.0182970340247266, -0.23993953903457926, -0.1224033720830145, -0.18132268335102708, 0.10165212972109051, -0.10209873486152597, -0.14577620385874374, 0.39077436916995795, 0.08892062253047091, 0.2811364495040228, -0.024719224522899215, 0.2112968384598692, 0.1432084175486428, 0.08564119172903399, 0.09540136851913607, 0.20916083554087284, 0.1793542058536938, 0.1366422747886342, -0.29297084219288083, 0.00886663473987331, -0.057515081031791246] |
1,802.00628 | The footprint of atmospheric turbulence in power grid frequency
measurements | Fluctuating wind energy makes a stable grid operation challenging. Due to the
direct contact with atmospheric turbulence, intermittent short-term variations
in the wind speed are converted to power fluctuations that cause transient
imbalances in the grid. We investigate the impact of wind energy feed-in on
short-term fluctuations in the frequency of the public power grid, which we
have measured in our local distribution grid. By conditioning on wind power
production data, provided by the ENTSO-E transparency platform, we demonstrate
that wind energy feed-in has a measurable effect on frequency increment
statistics for short time scales (< 1 sec) that are below the activation time
of frequency control. Our results are in accordance with previous numerical
studies of self-organized synchronization in power grids under intermittent
perturbation and rise new challenges for a stable operation of future power
grids fed by a high share of renewable generation.
| physics.data-an | fluctuating wind energy makes a stable grid operation challenging due to the direct contact with atmospheric turbulence intermittent shortterm variations in the wind speed are converted to power fluctuations that cause transient imbalances in the grid we investigate the impact of wind energy feedin on shortterm fluctuations in the frequency of the public power grid which we have measured in our local distribution grid by conditioning on wind power production data provided by the entsoe transparency platform we demonstrate that wind energy feedin has a measurable effect on frequency increment statistics for short time scales 1 sec that are below the activation time of frequency control our results are in accordance with previous numerical studies of selforganized synchronization in power grids under intermittent perturbation and rise new challenges for a stable operation of future power grids fed by a high share of renewable generation | [['fluctuating', 'wind', 'energy', 'makes', 'a', 'stable', 'grid', 'operation', 'challenging', 'due', 'to', 'the', 'direct', 'contact', 'with', 'atmospheric', 'turbulence', 'intermittent', 'shortterm', 'variations', 'in', 'the', 'wind', 'speed', 'are', 'converted', 'to', 'power', 'fluctuations', 'that', 'cause', 'transient', 'imbalances', 'in', 'the', 'grid', 'we', 'investigate', 'the', 'impact', 'of', 'wind', 'energy', 'feedin', 'on', 'shortterm', 'fluctuations', 'in', 'the', 'frequency', 'of', 'the', 'public', 'power', 'grid', 'which', 'we', 'have', 'measured', 'in', 'our', 'local', 'distribution', 'grid', 'by', 'conditioning', 'on', 'wind', 'power', 'production', 'data', 'provided', 'by', 'the', 'entsoe', 'transparency', 'platform', 'we', 'demonstrate', 'that', 'wind', 'energy', 'feedin', 'has', 'a', 'measurable', 'effect', 'on', 'frequency', 'increment', 'statistics', 'for', 'short', 'time', 'scales', '1', 'sec', 'that', 'are', 'below', 'the', 'activation', 'time', 'of', 'frequency', 'control', 'our', 'results', 'are', 'in', 'accordance', 'with', 'previous', 'numerical', 'studies', 'of', 'selforganized', 'synchronization', 'in', 'power', 'grids', 'under', 'intermittent', 'perturbation', 'and', 'rise', 'new', 'challenges', 'for', 'a', 'stable', 'operation', 'of', 'future', 'power', 'grids', 'fed', 'by', 'a', 'high', 'share', 'of', 'renewable', 'generation']] | [-0.19629703015703448, 0.16907672915517147, -0.04189390781296728, 0.05377507885633451, -0.028007277294010337, -0.09571897478114504, 0.05137850500048242, 0.381655836219175, -0.2830924122956478, -0.3136149590055639, 0.1204346833449866, -0.26731797619787456, -0.052329850832595386, 0.2710362829829036, -0.08625445880978885, 0.0501432302909153, 0.07026339018355227, -0.04216166466358118, 0.03411784365824941, -0.1672633333332164, 0.26725422259187326, 0.16373894871988645, 0.32998053424267304, 0.03319021605865499, 0.09374540902677432, -0.10004864418846814, -0.0411169455275942, 0.02423572954931943, -0.06956851539522783, 0.09154339615229724, 0.19993586464099483, 0.06493793636521634, 0.29707130693532235, -0.4848679999898498, -0.27782239979165346, 0.08107483552723554, 0.07662347288795798, 0.003950915227404848, -0.06267475483602741, -0.1890924874080358, 0.08064432817748941, -0.2329310491331853, -0.09851560932778132, -0.07323674487351026, 0.033104136515046574, 0.13781630082909638, -0.30077012264195624, 0.10335404457711977, 0.02540457566242872, 0.0851583376788767, -0.06951822415349954, -0.047948531447521724, -0.069778930175946, 0.1129218473086237, 0.043788158172295276, -0.0386238040357259, 0.1464465278101367, -0.12300495130087559, -0.08909456373011279, 0.3787116166980316, -0.06627896210476239, -0.14110755974737307, 0.13494840603541686, -0.1805881876401448, -0.11723170065023522, 0.15569517095314545, 0.24496639215956545, 0.033996024440663554, -0.10088098833754582, 0.0026999045605609557, 0.03544354799992612, 0.19618213598247772, 0.06078988776425831, 0.0464673820275089, 0.24816907702269317, 0.22176424273008402, 0.1104944635638579, 0.11332945890818438, -0.1371690866605301, -0.11140518514892189, -0.24188419395229882, -0.03964085006575462, -0.16917751409626666, 0.06802289417828433, -0.0908985600388203, -0.12456939445110038, 0.43929159483458435, 0.20019715793508416, 0.15470559914602847, 0.0442858807631031, 0.36383382267861936, 0.15591120589427496, 0.0315622569339919, 0.1306883640774888, 0.22939044316040558, 0.05562187281935217, 0.2193055553232423, -0.247450166281649, 0.07605816190314524, -0.01533705547141532] |
1,802.00629 | Electrically tunable dynamic nuclear spin polarization in GaAs quantum
dots at zero magnetic field | In III-V semiconductor nano-structures the electron and nuclear spin dynamics
are strongly coupled. Both spin systems can be controlled optically. The
nuclear spin dynamics is widely studied, but little is known about the
initialization mechanisms. Here we investigate optical pumping of carrier and
nuclear spins in charge tunable GaAs dots grown on 111A substrates. We
demonstrate dynamic nuclear polarization (DNP) at zero magnetic field in a
single quantum dot for the positively charged exciton X$^+$ state transition.
We tune the DNP in both amplitude and sign by variation of an applied bias
voltage V$_g$. Variation of $\Delta$V$_g$ of the order of 100 mV changes the
Overhauser splitting (nuclear spin polarization) from -30 $\mu$eV (-22 %) to
+10 $\mu$eV (+7 %), although the X$^+$ photoluminescence polarization does not
change sign over this voltage range. This indicates that absorption in the
structure and energy relaxation towards the X$^+$ ground state might provide
favourable scenarios for efficient electron-nuclear spin flip-flops, generating
DNP during the first tens of ps of the X$^+$ lifetime which is of the order of
hundreds of ps. Voltage control of DNP is further confirmed in Hanle
experiments.
| cond-mat.mes-hall | in iiiv semiconductor nanostructures the electron and nuclear spin dynamics are strongly coupled both spin systems can be controlled optically the nuclear spin dynamics is widely studied but little is known about the initialization mechanisms here we investigate optical pumping of carrier and nuclear spins in charge tunable gaas dots grown on 111a substrates we demonstrate dynamic nuclear polarization dnp at zero magnetic field in a single quantum dot for the positively charged exciton x state transition we tune the dnp in both amplitude and sign by variation of an applied bias voltage v_g variation of deltav_g of the order of 100 mv changes the overhauser splitting nuclear spin polarization from 30 muev 22 to 10 muev 7 although the x photoluminescence polarization does not change sign over this voltage range this indicates that absorption in the structure and energy relaxation towards the x ground state might provide favourable scenarios for efficient electronnuclear spin flipflops generating dnp during the first tens of ps of the x lifetime which is of the order of hundreds of ps voltage control of dnp is further confirmed in hanle experiments | [['in', 'iiiv', 'semiconductor', 'nanostructures', 'the', 'electron', 'and', 'nuclear', 'spin', 'dynamics', 'are', 'strongly', 'coupled', 'both', 'spin', 'systems', 'can', 'be', 'controlled', 'optically', 'the', 'nuclear', 'spin', 'dynamics', 'is', 'widely', 'studied', 'but', 'little', 'is', 'known', 'about', 'the', 'initialization', 'mechanisms', 'here', 'we', 'investigate', 'optical', 'pumping', 'of', 'carrier', 'and', 'nuclear', 'spins', 'in', 'charge', 'tunable', 'gaas', 'dots', 'grown', 'on', '111a', 'substrates', 'we', 'demonstrate', 'dynamic', 'nuclear', 'polarization', 'dnp', 'at', 'zero', 'magnetic', 'field', 'in', 'a', 'single', 'quantum', 'dot', 'for', 'the', 'positively', 'charged', 'exciton', 'x', 'state', 'transition', 'we', 'tune', 'the', 'dnp', 'in', 'both', 'amplitude', 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1,802.0063 | The Dirac operator under collapse to a smooth limit space | Let $(M_i, g_i)_{i \in \mathbb{N}}$ be a sequence of spin manifolds with
uniform bounded curvature and diameter that converges to a lower dimensional
Riemannian manifold $(B,h)$ in the Gromov-Hausdorff topology. Lott showed that
the spectrum converges to the spectrum of a certain first order elliptic
differential operator $\mathcal{D}$ on $B$. In this article we give an explicit
description of $\mathcal{D}^B$. We conclude that $\mathcal{D}^B$ is
self-adjoint and characterize the special case where $\mathcal{D}^B$ is the
Dirac operator on $B$.
| math.SP | let m_i g_i_i in mathbbn be a sequence of spin manifolds with uniform bounded curvature and diameter that converges to a lower dimensional riemannian manifold bh in the gromovhausdorff topology lott showed that the spectrum converges to the spectrum of a certain first order elliptic differential operator mathcald on b in this article we give an explicit description of mathcaldb we conclude that mathcaldb is selfadjoint and characterize the special case where mathcaldb is the dirac operator on b | [['let', 'm_i', 'g_i_i', 'in', 'mathbbn', 'be', 'a', 'sequence', 'of', 'spin', 'manifolds', 'with', 'uniform', 'bounded', 'curvature', 'and', 'diameter', 'that', 'converges', 'to', 'a', 'lower', 'dimensional', 'riemannian', 'manifold', 'bh', 'in', 'the', 'gromovhausdorff', 'topology', 'lott', 'showed', 'that', 'the', 'spectrum', 'converges', 'to', 'the', 'spectrum', 'of', 'a', 'certain', 'first', 'order', 'elliptic', 'differential', 'operator', 'mathcald', 'on', 'b', 'in', 'this', 'article', 'we', 'give', 'an', 'explicit', 'description', 'of', 'mathcaldb', 'we', 'conclude', 'that', 'mathcaldb', 'is', 'selfadjoint', 'and', 'characterize', 'the', 'special', 'case', 'where', 'mathcaldb', 'is', 'the', 'dirac', 'operator', 'on', 'b']] | [-0.1779092925871852, 0.10618706139064647, -0.06449723479785968, 0.03645532590460881, -0.09087964490975571, -0.14006964167391386, -0.037252095771092876, 0.34969972204888544, -0.2592516689608463, -0.18223998698264454, 0.08382964655432756, -0.3166427027663994, -0.12399352334816999, 0.15177260974092008, -0.14928095050957763, -0.0012037357878340762, 0.07737653123662819, 0.12618711942075928, -0.09085926363727997, -0.2179879525652792, 0.41853653413208225, -0.0007300005424060399, 0.1726174033305879, 0.059822015098850184, 0.09610820682483572, -0.03868219334207758, 0.042808109363894675, 0.0060692502884194255, -0.2150848616794882, 0.08932902447030514, 0.23948332191079477, 0.043504629723279724, 0.2199160744542185, -0.3332989089860716, -0.14886871327445667, 0.2003240812970679, 0.15039737522012636, -0.03448760640347683, -0.009455325780436397, -0.265105618054896, 0.1346664435725329, -0.12299824548926487, -0.1538253050839788, -0.07380481524970618, 0.05557772815463286, -0.015492971656443198, -0.3058860468017998, 0.03905187946850363, 0.15203457507245902, 0.039724207612909845, -0.06201461228671708, -0.09989817092147997, -0.07114254051371466, 0.07007034948166413, -0.006709895273552665, 0.09198038094629875, 0.047178078442811966, 0.0034483760005692785, -0.09207302110293243, 0.32555991646986976, -0.11495021882296033, -0.24297032472854363, 0.0706074117694663, -0.2119224226762411, -0.11974789739786824, 0.07298421072979941, 0.15280298006874096, 0.20446230122182943, -0.07663601274672849, 0.21598352773462812, -0.10441920364016219, 0.12013927003062225, 0.06969310122813228, 0.012854931033157472, 0.09817184280910635, 0.11041506752371788, 0.20477828776605334, 0.12191509444427182, 0.00044740865572909764, -0.07026328469178628, -0.35603857253784243, -0.18085681159002118, -0.18975800304095955, 0.21133574296402025, -0.13047602692511392, -0.19444594984355418, 0.3770501333159171, 0.060263492272359234, 0.24533274501585697, 0.11214706128392415, 0.2102450307759256, 0.13890986917894096, -0.03144961259993902, 0.10086200922680429, 0.14297433593605138, 0.22203025457602513, 0.06497300891913002, -0.1815599039155707, -0.037475527788783554, 0.16003522776193252] |
1,802.00631 | Satellite Image Scene Classification via ConvNet with Context
Aggregation | Scene classification is a fundamental problem to understand the
high-resolution remote sensing imagery. Recently, convolutional neural network
(ConvNet) has achieved remarkable performance in different tasks, and
significant efforts have been made to develop various representations for
satellite image scene classification. In this paper, we present a novel
representation based on a ConvNet with context aggregation. The proposed
two-pathway ResNet (ResNet-TP) architecture adopts the ResNet as backbone, and
the two pathways allow the network to model both local details and regional
context. The ResNet-TP based representation is generated by global average
pooling on the last convolutional layers from both pathways. Experiments on two
scene classification datasets, UCM Land Use and NWPU-RESISC45, show that the
proposed mechanism achieves promising improvements over state-of-the-art
methods.
| eess.IV | scene classification is a fundamental problem to understand the highresolution remote sensing imagery recently convolutional neural network convnet has achieved remarkable performance in different tasks and significant efforts have been made to develop various representations for satellite image scene classification in this paper we present a novel representation based on a convnet with context aggregation the proposed twopathway resnet resnettp architecture adopts the resnet as backbone and the two pathways allow the network to model both local details and regional context the resnettp based representation is generated by global average pooling on the last convolutional layers from both pathways experiments on two scene classification datasets ucm land use and nwpuresisc45 show that the proposed mechanism achieves promising improvements over stateoftheart methods | [['scene', 'classification', 'is', 'a', 'fundamental', 'problem', 'to', 'understand', 'the', 'highresolution', 'remote', 'sensing', 'imagery', 'recently', 'convolutional', 'neural', 'network', 'convnet', 'has', 'achieved', 'remarkable', 'performance', 'in', 'different', 'tasks', 'and', 'significant', 'efforts', 'have', 'been', 'made', 'to', 'develop', 'various', 'representations', 'for', 'satellite', 'image', 'scene', 'classification', 'in', 'this', 'paper', 'we', 'present', 'a', 'novel', 'representation', 'based', 'on', 'a', 'convnet', 'with', 'context', 'aggregation', 'the', 'proposed', 'twopathway', 'resnet', 'resnettp', 'architecture', 'adopts', 'the', 'resnet', 'as', 'backbone', 'and', 'the', 'two', 'pathways', 'allow', 'the', 'network', 'to', 'model', 'both', 'local', 'details', 'and', 'regional', 'context', 'the', 'resnettp', 'based', 'representation', 'is', 'generated', 'by', 'global', 'average', 'pooling', 'on', 'the', 'last', 'convolutional', 'layers', 'from', 'both', 'pathways', 'experiments', 'on', 'two', 'scene', 'classification', 'datasets', 'ucm', 'land', 'use', 'and', 'nwpuresisc45', 'show', 'that', 'the', 'proposed', 'mechanism', 'achieves', 'promising', 'improvements', 'over', 'stateoftheart', 'methods']] | [-0.03651335315207536, -0.0679027462112052, -0.07058213910620127, 0.007447775858826153, -0.08198212867039216, -0.1674126412522854, -0.005512152775973394, 0.48942589165032413, -0.26244920917919706, -0.31733881753376303, 0.06431162327786266, -0.2417005891246455, -0.2683129798104407, 0.19421251991395877, -0.15197967167380227, 0.10115606502625904, 0.17607268414014027, 0.020917542331593753, -0.07968284160189124, -0.2948842623951931, 0.28192813455972415, 0.060381994782281775, 0.4233667917252213, 0.037373745015689304, 0.18423589023158832, -0.05118940945151223, -0.04471783586699484, -0.039969260939357786, -0.04267902307618583, 0.20752423465107137, 0.3003365544117048, 0.16548720158503524, 0.29091561113938125, -0.46870989621687337, -0.3235266357190719, 0.07157404516909678, 0.14756596373122538, 0.08999862442560545, -0.052667309538883884, -0.35130360307751085, 0.10194868558700815, -0.19792818982338048, 0.09395416263303086, -0.14412585177904919, -0.028698290749100828, -0.05216762481653431, -0.2509991422514705, 0.04324871874531778, 0.04981758168843739, 0.08039044877788161, -0.08418519482673968, -0.12437819568988155, 0.0008861713332491888, 0.20415673214754387, -0.010426585966556826, 0.06330792717009533, 0.13758555081665141, -0.2044205277211213, -0.17527748190478945, 0.35305578257700726, -0.06705756844099642, -0.17659596993368776, 0.23067730548008963, 0.005012462835195435, -0.17353806566807026, 0.05752816727823194, 0.2406776135693453, 0.10692884864191673, -0.16314681419054, -0.014809274470762294, -0.0989905739840934, 0.16601050960803954, 0.05441690160219847, -0.0034824308876668206, 0.1986993953268662, 0.3410816988085999, 0.038708534666939694, 0.13066227035205655, -0.21926867618556173, -0.05621630444774451, -0.13584613604881965, -0.08001438825892113, -0.15895168435321572, -0.07183983464169652, -0.09861240413053618, -0.08468007470115221, 0.4759556114704919, 0.22388514769146173, 0.21167343068024644, 0.0995005033293958, 0.3594122649710469, -0.033234885393861026, 0.15443615969896568, 0.0801870958065661, 0.18969147142899387, 0.03987933182991071, 0.14168235171584317, -0.13923617103626215, 0.06799212031989914, 0.12120160030811525] |
1,802.00632 | Electron-Terahertz Interaction in Dielectric-Lined Waveguide Structures
for Electron Manipulation | Terahertz-driven dielectric-lined waveguides (DLWs) have uses in electron
manipulation; in particular deflection, acceleration, and focussing. A
rectangular DLW has been optimised for deflection of 100 keV electrons using a
THz pulse with a centre frequency 0.5 THz. Electron-THz interaction and the
effect of electron bunch injection timing on maximising deflection is
presented. DLWs and corrugated waveguides are compared to discuss relative
advantages and disadvantages.
| physics.acc-ph | terahertzdriven dielectriclined waveguides dlws have uses in electron manipulation in particular deflection acceleration and focussing a rectangular dlw has been optimised for deflection of 100 kev electrons using a thz pulse with a centre frequency 05 thz electronthz interaction and the effect of electron bunch injection timing on maximising deflection is presented dlws and corrugated waveguides are compared to discuss relative advantages and disadvantages | [['terahertzdriven', 'dielectriclined', 'waveguides', 'dlws', 'have', 'uses', 'in', 'electron', 'manipulation', 'in', 'particular', 'deflection', 'acceleration', 'and', 'focussing', 'a', 'rectangular', 'dlw', 'has', 'been', 'optimised', 'for', 'deflection', 'of', '100', 'kev', 'electrons', 'using', 'a', 'thz', 'pulse', 'with', 'a', 'centre', 'frequency', '05', 'thz', 'electronthz', 'interaction', 'and', 'the', 'effect', 'of', 'electron', 'bunch', 'injection', 'timing', 'on', 'maximising', 'deflection', 'is', 'presented', 'dlws', 'and', 'corrugated', 'waveguides', 'are', 'compared', 'to', 'discuss', 'relative', 'advantages', 'and', 'disadvantages']] | [-0.12150310332916918, 0.1732590556174757, -0.012164986992795621, 0.014658982814815376, -0.04649672777422013, -0.17654834089109733, -0.045257097072598916, 0.5360308361630286, -0.17893132668611925, -0.3225974423450328, 0.01741079653748461, -0.3211053101413493, 0.009330537613301028, 0.28759639394739944, -0.01858615570311104, 0.06819902144883189, 0.03689924623411629, -0.09042130096725398, -0.03924303983278092, -0.11667564932647492, 0.17170423387940373, 0.13412518796300696, 0.3008842889459864, 0.1223882919087285, 0.15698160294203028, 0.05348871799276, 0.04476453607240992, -0.029783996362839977, -0.08358448128696651, 0.05830621934165397, 0.19112866119230015, -0.0281394699357465, 0.23290799825542396, -0.44019942158352465, -0.214254800110094, -0.02393173530036884, 0.17294358285219077, 0.07809454079477056, -0.16256587634110944, -0.2500809678327172, 0.00845601387141693, -0.19819431779004873, -0.12052521554963483, 0.04234501456601485, 0.041947675790006834, 0.13747983245599654, -0.2193584752028748, 0.017648391812408883, -0.018875971319498457, 0.04609579698092515, -0.023562696056380387, -0.07976970920759824, 0.031130752496180997, 0.011461820521001373, 0.027339875589184943, 0.03192559517769804, 0.20552541231436114, -0.049764483919247024, -0.14961471360537312, 0.39197474790196263, -0.040109029426539856, -0.15194178479272993, 0.10472267257770704, -0.19218301381765596, 0.04260633006361463, 0.20168991035391245, 0.19377637832170172, 0.0749762050897604, -0.08109979255447886, 0.05749168406961666, 0.07075454593981587, 0.2050955290079958, 0.2513381603188933, 0.08045880763506096, 0.23615854744228623, 0.21320175658535934, 0.04013285102161218, 0.1389712191997997, -0.2378862663134632, 0.018073348493705833, -0.21872937991734473, -0.11111918151859314, -0.15662479681158137, 0.04866073756936878, -0.06705414991161125, -0.10310678179526041, 0.4621967952097616, 0.14094981808035123, 0.08365989532021265, -0.046118371188640594, 0.3669224996720591, 0.12108286386055331, 0.01745309833917887, 0.039911446754910776, 0.35820732205625505, 0.1948197047947155, 0.11769400160729644, -0.2229750919861779, -0.029937433769866344, -0.024218977068460757] |
1,802.00633 | A tunable Josephson platform to explore many-body quantum optics in
circuit-QED | Coupling an isolated emitter to a single mode of the electromagnetic field is
now routinely achieved and well understood. Current efforts aim to explore the
coherent dynamics of emitters coupled to several electromagnetic modes (EM).
freedom. Recently, ultrastrong coupling to a transmission line has been
achieved where the emitter resonance broadens to a significant fraction of its
frequency. In this work we gain significantly improved control over this
regime. We do so by combining the simplicity of a transmon qubit and a bespoke
EM environment with a high density of discrete modes, hosted inside a
superconducting metamaterial. This produces a unique device in which the
hybridisation between the qubit and up to 10 environmental modes can be
monitored directly. Moreover the frequency and broadening of the qubit
resonance can be tuned independently of each other in situ. We experimentally
demonstrate that our device combines this tunability with ultrastrong coupling
and a qubit nonlinearity comparable to the other relevant energy scales in the
system. We also develop a quantitative theoretical description that does not
contain any phenomenological parameters and that accurately takes into account
vacuum fluctuations of our large scale quantum circuit in the regime of
ultrastrong coupling and intermediate non-linearity. The demonstration of this
new platform combined with a quantitative modelling brings closer the prospect
of experimentally studying many-body effects in quantum optics. A limitation of
the current device is the intermediate nonlinearity of the qubit. Pushing it
further will induce fully developed many-body effects, such as a giant Lamb
shift or nonclassical states of multimode optical fields. Observing such
effects would establish interesting links between quantum optics and the
physics of quantum impurities.
| cond-mat.mes-hall quant-ph | coupling an isolated emitter to a single mode of the electromagnetic field is now routinely achieved and well understood current efforts aim to explore the coherent dynamics of emitters coupled to several electromagnetic modes em freedom recently ultrastrong coupling to a transmission line has been achieved where the emitter resonance broadens to a significant fraction of its frequency in this work we gain significantly improved control over this regime we do so by combining the simplicity of a transmon qubit and a bespoke em environment with a high density of discrete modes hosted inside a superconducting metamaterial this produces a unique device in which the hybridisation between the qubit and up to 10 environmental modes can be monitored directly moreover the frequency and broadening of the qubit resonance can be tuned independently of each other in situ we experimentally demonstrate that our device combines this tunability with ultrastrong coupling and a qubit nonlinearity comparable to the other relevant energy scales in the system we also develop a quantitative theoretical description that does not contain any phenomenological parameters and that accurately takes into account vacuum fluctuations of our large scale quantum circuit in the regime of ultrastrong coupling and intermediate nonlinearity the demonstration of this new platform combined with a quantitative modelling brings closer the prospect of experimentally studying manybody effects in quantum optics a limitation of the current device is the intermediate nonlinearity of the qubit pushing it further will induce fully developed manybody effects such as a giant lamb shift or nonclassical states of multimode optical fields observing such effects would establish interesting links between quantum optics and the physics of quantum impurities | [['coupling', 'an', 'isolated', 'emitter', 'to', 'a', 'single', 'mode', 'of', 'the', 'electromagnetic', 'field', 'is', 'now', 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1,802.00634 | Activity-conditioned continuous human pose estimation for performance
analysis of athletes using the example of swimming | In this paper we consider the problem of human pose estimation in real-world
videos of swimmers. Swimming channels allow filming swimmers simultaneously
above and below the water surface with a single stationary camera. These
recordings can be used to quantitatively assess the athletes' performance. The
quantitative evaluation, so far, requires manual annotations of body parts in
each video frame. We therefore apply the concept of CNNs in order to
automatically infer the required pose information. Starting with an
off-the-shelf architecture, we develop extensions to leverage activity
information - in our case the swimming style of an athlete - and the continuous
nature of the video recordings. Our main contributions are threefold: (a) We
apply and evaluate a fine-tuned Convolutional Pose Machine architecture as a
baseline in our very challenging aquatic environment and discuss its error
modes, (b) we propose an extension to input swimming style information into the
fully convolutional architecture and (c) modify the architecture for continuous
pose estimation in videos. With these additions we achieve reliable pose
estimates with up to +16% more correct body joint detections compared to the
baseline architecture.
| cs.CV | in this paper we consider the problem of human pose estimation in realworld videos of swimmers swimming channels allow filming swimmers simultaneously above and below the water surface with a single stationary camera these recordings can be used to quantitatively assess the athletes performance the quantitative evaluation so far requires manual annotations of body parts in each video frame we therefore apply the concept of cnns in order to automatically infer the required pose information starting with an offtheshelf architecture we develop extensions to leverage activity information in our case the swimming style of an athlete and the continuous nature of the video recordings our main contributions are threefold a we apply and evaluate a finetuned convolutional pose machine architecture as a baseline in our very challenging aquatic environment and discuss its error modes b we propose an extension to input swimming style information into the fully convolutional architecture and c modify the architecture for continuous pose estimation in videos with these additions we achieve reliable pose estimates with up to 16 more correct body joint detections compared to the baseline architecture | [['in', 'this', 'paper', 'we', 'consider', 'the', 'problem', 'of', 'human', 'pose', 'estimation', 'in', 'realworld', 'videos', 'of', 'swimmers', 'swimming', 'channels', 'allow', 'filming', 'swimmers', 'simultaneously', 'above', 'and', 'below', 'the', 'water', 'surface', 'with', 'a', 'single', 'stationary', 'camera', 'these', 'recordings', 'can', 'be', 'used', 'to', 'quantitatively', 'assess', 'the', 'athletes', 'performance', 'the', 'quantitative', 'evaluation', 'so', 'far', 'requires', 'manual', 'annotations', 'of', 'body', 'parts', 'in', 'each', 'video', 'frame', 'we', 'therefore', 'apply', 'the', 'concept', 'of', 'cnns', 'in', 'order', 'to', 'automatically', 'infer', 'the', 'required', 'pose', 'information', 'starting', 'with', 'an', 'offtheshelf', 'architecture', 'we', 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1,802.00635 | Generic Evolving Self-Organizing Neuro-Fuzzy Control of Bio-inspired
Unmanned Aerial Vehicles | At recent times, with the incremental demand of the fully autonomous system,
a huge research interest is observed in learning machine based intelligent,
self-organizing, and evolving controller. In this work, a new evolving and
self-organizing controller namely Generic-controller, G-controller, is
proposed. The G-controller that works in the fully online mode with very minor
expert domain knowledge is developed by incorporating the sliding model
control, SMC, theory based learning algorithm with an advanced incremental
learning machine namely Generic Evolving Neuro-Fuzzy Inference System ,
GENEFIS. The controller starts operating from scratch with an empty set of
fuzzy rules, and therefore, no offline training is required. To cope with the
plant vulnerable behavior, the controller can add, or prune the rules on
demand. Control law and adaptation laws for the consequents are derived from
the SMC algorithm to establish a stable closed-loop system, where the stability
of the G-controller is guaranteed using the Lyapunov function. The uniform
asymptotic convergence of tracking error to zero is witnessed through the
implication of an auxiliary robustifying control term. In addition, the
implementation of the multivariate Gaussian function helps the controller to
handle the non-axis parallel data from the plant and consequently enhances the
robustness against the uncertainties and environmental perturbations. Finally,
the controller performance has been evaluated by observing the tracking
performance in controlling simulated plants of unmanned aerial vehicle namely
bio-inspired flapping wing micro air vehicle BIFW MAV and hexacopter for a
variety of trajectories.
| cs.SY | at recent times with the incremental demand of the fully autonomous system a huge research interest is observed in learning machine based intelligent selforganizing and evolving controller in this work a new evolving and selforganizing controller namely genericcontroller gcontroller is proposed the gcontroller that works in the fully online mode with very minor expert domain knowledge is developed by incorporating the sliding model control smc theory based learning algorithm with an advanced incremental learning machine namely generic evolving neurofuzzy inference system genefis the controller starts operating from scratch with an empty set of fuzzy rules and therefore no offline training is required to cope with the plant vulnerable behavior the controller can add or prune the rules on demand control law and adaptation laws for the consequents are derived from the smc algorithm to establish a stable closedloop system where the stability of the gcontroller is guaranteed using the lyapunov function the uniform asymptotic convergence of tracking error to zero is witnessed through the implication of an auxiliary robustifying control term in addition the implementation of the multivariate gaussian function helps the controller to handle the nonaxis parallel data from the plant and consequently enhances the robustness against the uncertainties and environmental perturbations finally the controller performance has been evaluated by observing the tracking performance in controlling simulated plants of unmanned aerial vehicle namely bioinspired flapping wing micro air vehicle bifw mav and hexacopter for a variety of trajectories | [['at', 'recent', 'times', 'with', 'the', 'incremental', 'demand', 'of', 'the', 'fully', 'autonomous', 'system', 'a', 'huge', 'research', 'interest', 'is', 'observed', 'in', 'learning', 'machine', 'based', 'intelligent', 'selforganizing', 'and', 'evolving', 'controller', 'in', 'this', 'work', 'a', 'new', 'evolving', 'and', 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1,802.00636 | Impact of cosmic-ray physics on dark matter indirect searches | The quest for the elusive dark matter (DM) that permeates the Universe (and
in general the search for signatures of Physics beyond the Standard Model at
astronomical scales) provides a unique opportunity and a tough challenge to the
high-energy astrophysics community. In particular, the so-called DM indirect
searches - mostly focused on a class of theoretically well-motivated DM
candidates such as the weakly-interacting massive particles - are affected by a
complex astrophysical background of cosmic radiation. The understanding and
modeling of such background requires a deep comprehension of an intricate
classical plasma physics problem, i.e. the interaction between high-energy
charged particles, accelerated in peculiar astrophysical environments, and
magneto-hydrodynamic turbulence in the interstellar medium of our Galaxy. In
this review we highlight several aspects of this exciting interplay between the
most recent claims of DM annihilation/decay signatures from the sky and the
Galactic cosmic-ray research field. Our purpose is to further stimulate the
debate about viable astrophysical explanations, discussing possible directions
that would help breaking degeneracy patterns in the interpretation of current
data. We eventually aim to emphasize how a deep knowledge on the physics of CR
transport is therefore required to tackle the DM indirect search program at
present and in the forthcoming years.
| astro-ph.HE astro-ph.CO hep-ph | the quest for the elusive dark matter dm that permeates the universe and in general the search for signatures of physics beyond the standard model at astronomical scales provides a unique opportunity and a tough challenge to the highenergy astrophysics community in particular the socalled dm indirect searches mostly focused on a class of theoretically wellmotivated dm candidates such as the weaklyinteracting massive particles are affected by a complex astrophysical background of cosmic radiation the understanding and modeling of such background requires a deep comprehension of an intricate classical plasma physics problem ie the interaction between highenergy charged particles accelerated in peculiar astrophysical environments and magnetohydrodynamic turbulence in the interstellar medium of our galaxy in this review we highlight several aspects of this exciting interplay between the most recent claims of dm annihilationdecay signatures from the sky and the galactic cosmicray research field our purpose is to further stimulate the debate about viable astrophysical explanations discussing possible directions that would help breaking degeneracy patterns in the interpretation of current data we eventually aim to emphasize how a deep knowledge on the physics of cr transport is therefore required to tackle the dm indirect search program at present and in the forthcoming years | [['the', 'quest', 'for', 'the', 'elusive', 'dark', 'matter', 'dm', 'that', 'permeates', 'the', 'universe', 'and', 'in', 'general', 'the', 'search', 'for', 'signatures', 'of', 'physics', 'beyond', 'the', 'standard', 'model', 'at', 'astronomical', 'scales', 'provides', 'a', 'unique', 'opportunity', 'and', 'a', 'tough', 'challenge', 'to', 'the', 'highenergy', 'astrophysics', 'community', 'in', 'particular', 'the', 'socalled', 'dm', 'indirect', 'searches', 'mostly', 'focused', 'on', 'a', 'class', 'of', 'theoretically', 'wellmotivated', 'dm', 'candidates', 'such', 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1,802.00637 | Effects of Interstellar Dust Scattering on the X-ray Eclipses of the
LMXB AX J1745.6-2901 in the Galactic Center | AX J1745.6-2901 is an eclipsing low mass X-ray binary (LMXB) in the Galactic
Centre (GC). It shows significant X-ray excess emission during the eclipse
phase, and its eclipse light curve shows an asymmetric shape. We use archival
XMM-Newton and Chandra observations to study the origin of these peculiar X-ray
eclipsing phenomena. We find that the shape of the observed X-ray eclipse light
curves depends on both photon energy and the shape of the source extraction
region, and also shows differences between the two instruments. By performing
detailed simulations for the time-dependent X-ray dust scattering halo, as well
as directly modelling the observed eclipse and non-eclipse halo profiles of AX
J1745.6-2901, we obtained solid evidence that its peculiar eclipse phenomena
are indeed caused by the X-ray dust scattering in multiple foreground dust
layers along the line-of-sight (LOS). The apparent dependence on the
instruments is caused by different instrumental point-spread-functions. Our
results can be used to assess the influence of dust scattering in other
eclipsing X-ray sources, and raise the importance of considering the timing
effects of dust scattering halo when studying the variability of other X-ray
sources in the GC, such as Sgr A*. Moreover, our study of halo eclipse
reinforces the existence of a dust layer local to AX J1745.6-2901 as reported
by Jin et al. (2017), as well as identifying another dust layer within a few
hundred parsecs to Earth, containing up to several tens of percent LOS dust,
which is likely to be associated with the molecular clouds in the Solar
neighbourhood. The remaining LOS dust is likely to be associated with the
molecular clouds located in the Galactic disk in-between.
| astro-ph.HE | ax j174562901 is an eclipsing low mass xray binary lmxb in the galactic centre gc it shows significant xray excess emission during the eclipse phase and its eclipse light curve shows an asymmetric shape we use archival xmmnewton and chandra observations to study the origin of these peculiar xray eclipsing phenomena we find that the shape of the observed xray eclipse light curves depends on both photon energy and the shape of the source extraction region and also shows differences between the two instruments by performing detailed simulations for the timedependent xray dust scattering halo as well as directly modelling the observed eclipse and noneclipse halo profiles of ax j174562901 we obtained solid evidence that its peculiar eclipse phenomena are indeed caused by the xray dust scattering in multiple foreground dust layers along the lineofsight los the apparent dependence on the instruments is caused by different instrumental pointspreadfunctions our results can be used to assess the influence of dust scattering in other eclipsing xray sources and raise the importance of considering the timing effects of dust scattering halo when studying the variability of other xray sources in the gc such as sgr a moreover our study of halo eclipse reinforces the existence of a dust layer local to ax j174562901 as reported by jin et al 2017 as well as identifying another dust layer within a few hundred parsecs to earth containing up to several tens of percent los dust which is likely to be associated with the molecular clouds in the solar neighbourhood the remaining los dust is likely to be associated with the molecular clouds located in the galactic disk inbetween | [['ax', 'j174562901', 'is', 'an', 'eclipsing', 'low', 'mass', 'xray', 'binary', 'lmxb', 'in', 'the', 'galactic', 'centre', 'gc', 'it', 'shows', 'significant', 'xray', 'excess', 'emission', 'during', 'the', 'eclipse', 'phase', 'and', 'its', 'eclipse', 'light', 'curve', 'shows', 'an', 'asymmetric', 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1,802.00638 | A hybrid inversion scheme combining Markov chain Monte Carlo and
iterative methods for determining optical properties of random media | Near-infrared spectroscopy (NIRS) including diffuse optical tomography is an
imaging modality which makes use of diffuse light propagation in random media.
When optical properties of a random medium is investigated from boundary
measurements of reflected or transmitted light, iterative inversion schemes
such as the Levenberg-Marquardt algorithm are known to fail when initial
guesses are not close to the true value of the coefficient to be reconstructed.
In this paper, we investigate how this weakness of iterative schemes is
overcome by the use of Markov chain Monte Carlo. Using time-resolved
measurements performed against a polyurethane-based phantom, we present a case
that the Levenberg-Marquardt algorithm fails to work but the proposed hybrid
method works well. Then with a toy model of diffuse optical tomography we
illustrate that the evenberg-Marquardt method fails when it is trapped by a
local minimum but the hybrid method can escape from local minima by using the
Metropolis-Hastings Markov chain Monte Carlo algorithm until it reaches the
valley of the global minimum. The proposed hybrid scheme can be applied to
different inverse problems in NIRS which are solved iteratively. We find that
for both numerical and phantom experiments optical properties such as the
absorption and reduced scattering coefficients can be retrieved without being
trapped by a local minimum when Monte Carlo simulation is run only about $100$
steps before switching to an iterative method. The hybrid method is compared
with simulated annealing. Although the Metropolis-Hastings MCMC arrives at the
steady state at about $10000$ Monte Carlo steps, in the hybrid method the Monte
Carlo simulation can be stopped way before the burn-in time.
| physics.comp-ph | nearinfrared spectroscopy nirs including diffuse optical tomography is an imaging modality which makes use of diffuse light propagation in random media when optical properties of a random medium is investigated from boundary measurements of reflected or transmitted light iterative inversion schemes such as the levenbergmarquardt algorithm are known to fail when initial guesses are not close to the true value of the coefficient to be reconstructed in this paper we investigate how this weakness of iterative schemes is overcome by the use of markov chain monte carlo using timeresolved measurements performed against a polyurethanebased phantom we present a case that the levenbergmarquardt algorithm fails to work but the proposed hybrid method works well then with a toy model of diffuse optical tomography we illustrate that the evenbergmarquardt method fails when it is trapped by a local minimum but the hybrid method can escape from local minima by using the metropolishastings markov chain monte carlo algorithm until it reaches the valley of the global minimum the proposed hybrid scheme can be applied to different inverse problems in nirs which are solved iteratively we find that for both numerical and phantom experiments optical properties such as the absorption and reduced scattering coefficients can be retrieved without being trapped by a local minimum when monte carlo simulation is run only about 100 steps before switching to an iterative method the hybrid method is compared with simulated annealing although the metropolishastings mcmc arrives at the steady state at about 10000 monte carlo steps in the hybrid method the monte carlo simulation can be stopped way before the burnin time | [['nearinfrared', 'spectroscopy', 'nirs', 'including', 'diffuse', 'optical', 'tomography', 'is', 'an', 'imaging', 'modality', 'which', 'makes', 'use', 'of', 'diffuse', 'light', 'propagation', 'in', 'random', 'media', 'when', 'optical', 'properties', 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1,802.00639 | Application of Nilsson model for deformed nucleus in relativistic heavy
ion collisions | Electron scattering methods, involving nucleus which have little or no
intrinsic deformation suggest nucleon distribution to be of Fermi type. This
distribution is further parameterised as Wood Saxon (WS) distribution, where an
uniform charge density with smoothed-out surface have been implemented.
Incorporating shape modification in WS, earlier attempts were made to explain
observables in deformed nuclear collisions, such as charged particle
multiplicity. In this work, we use an alternate approach known as Nilsson model
or Modified Harmonic Oscillator (MHO), to explain charged particle multiplicity
in U+U collisions at top RHIC energy. We have implemented the formalism in
HIJING model and we found that the model describes the experimental data to an
extent.
| nucl-th hep-ph | electron scattering methods involving nucleus which have little or no intrinsic deformation suggest nucleon distribution to be of fermi type this distribution is further parameterised as wood saxon ws distribution where an uniform charge density with smoothedout surface have been implemented incorporating shape modification in ws earlier attempts were made to explain observables in deformed nuclear collisions such as charged particle multiplicity in this work we use an alternate approach known as nilsson model or modified harmonic oscillator mho to explain charged particle multiplicity in uu collisions at top rhic energy we have implemented the formalism in hijing model and we found that the model describes the experimental data to an extent | [['electron', 'scattering', 'methods', 'involving', 'nucleus', 'which', 'have', 'little', 'or', 'no', 'intrinsic', 'deformation', 'suggest', 'nucleon', 'distribution', 'to', 'be', 'of', 'fermi', 'type', 'this', 'distribution', 'is', 'further', 'parameterised', 'as', 'wood', 'saxon', 'ws', 'distribution', 'where', 'an', 'uniform', 'charge', 'density', 'with', 'smoothedout', 'surface', 'have', 'been', 'implemented', 'incorporating', 'shape', 'modification', 'in', 'ws', 'earlier', 'attempts', 'were', 'made', 'to', 'explain', 'observables', 'in', 'deformed', 'nuclear', 'collisions', 'such', 'as', 'charged', 'particle', 'multiplicity', 'in', 'this', 'work', 'we', 'use', 'an', 'alternate', 'approach', 'known', 'as', 'nilsson', 'model', 'or', 'modified', 'harmonic', 'oscillator', 'mho', 'to', 'explain', 'charged', 'particle', 'multiplicity', 'in', 'uu', 'collisions', 'at', 'top', 'rhic', 'energy', 'we', 'have', 'implemented', 'the', 'formalism', 'in', 'hijing', 'model', 'and', 'we', 'found', 'that', 'the', 'model', 'describes', 'the', 'experimental', 'data', 'to', 'an', 'extent']] | [-0.009272282770585403, 0.14174830711415, -0.15255962574156, 0.12170587055879878, -0.03139400049362199, -0.15106161332057258, -0.06313423390799601, 0.4005939367593133, -0.21873900692194834, -0.32006830184920027, -0.047820114768650716, -0.30292884447512086, -0.04850732256558591, 0.118787732391086, -0.024057279552965025, 0.07017219372210093, 0.04417171936282622, 0.02678483651418771, -0.036659457762912746, -0.17835282757213072, 0.28553666895978885, 0.12070538987297498, 0.2256719146056899, 0.0951805972945944, 0.03501170755667512, 0.054807024868620956, -0.007866946464803602, 0.026434440847619305, -0.15457955547266725, 0.06527587092724778, 0.2112348280414673, 0.035558459978866655, 0.14998634146156423, -0.44558461725578774, -0.22037087270707292, 0.1048907558412923, 0.17444629171430798, 0.1357563213958721, -0.09563860161662367, -0.2334173641866073, 0.035510221086172224, -0.29726000542619396, -0.21409123491529108, -0.0718337623942976, 0.025313069698833197, 0.04566597061264994, -0.2419646192907489, 0.1054411496526362, 0.04758772100987179, 0.05896003454576463, -0.06283359270037181, -0.18108719694178685, -0.04246392081092511, 0.026569174673308486, 0.0753814917521335, 0.07663035180303268, 0.17400215386546083, -0.10394923502670801, -0.13143322107498534, 0.33831141233843354, -0.03383213672454336, -0.22802489759799624, 0.17358767386862642, -0.15636208190699108, -0.15720390205284016, 0.11601360085686403, 0.1979980980603224, 0.06742026420709278, -0.18884982320014387, 0.08833562426142245, -0.05896681772407776, 0.17298119705187023, 0.10655970341758803, 0.000261983932952197, 0.18266134822624736, 0.1675360780209303, -0.03460922940498027, 0.10208879282643986, -0.12230911806026208, -0.0901947183010634, -0.2808505309595993, -0.10953578305923527, -0.17016346765116655, 0.04518375393152902, -0.00876809983817241, -0.1303090511854472, 0.3460185277591726, 0.09333801245416648, 0.25611207834819133, -0.056208776916069576, 0.23392459135668883, 0.10258130143899637, 0.08553524300805293, 0.04910391441080719, 0.26289642470198615, 0.11898417162384638, 0.12254009343450889, -0.2186073175726051, 0.046398324613359625, 0.07593078265407323] |
1,802.0064 | On the enumeration of closures and environments with an application to
random generation | Environments and closures are two of the main ingredients of evaluation in
lambda-calculus. A closure is a pair consisting of a lambda-term and an
environment, whereas an environment is a list of lambda-terms assigned to free
variables. In this paper we investigate some dynamic aspects of evaluation in
lambda-calculus considering the quantitative, combinatorial properties of
environments and closures. Focusing on two classes of environments and
closures, namely the so-called plain and closed ones, we consider the problem
of their asymptotic counting and effective random generation. We provide an
asymptotic approximation of the number of both plain environments and closures
of size $n$. Using the associated generating functions, we construct effective
samplers for both classes of combinatorial structures. Finally, we discuss the
related problem of asymptotic counting and random generation of closed
environemnts and closures.
| cs.LO math.CO | environments and closures are two of the main ingredients of evaluation in lambdacalculus a closure is a pair consisting of a lambdaterm and an environment whereas an environment is a list of lambdaterms assigned to free variables in this paper we investigate some dynamic aspects of evaluation in lambdacalculus considering the quantitative combinatorial properties of environments and closures focusing on two classes of environments and closures namely the socalled plain and closed ones we consider the problem of their asymptotic counting and effective random generation we provide an asymptotic approximation of the number of both plain environments and closures of size n using the associated generating functions we construct effective samplers for both classes of combinatorial structures finally we discuss the related problem of asymptotic counting and random generation of closed environemnts and closures | [['environments', 'and', 'closures', 'are', 'two', 'of', 'the', 'main', 'ingredients', 'of', 'evaluation', 'in', 'lambdacalculus', 'a', 'closure', 'is', 'a', 'pair', 'consisting', 'of', 'a', 'lambdaterm', 'and', 'an', 'environment', 'whereas', 'an', 'environment', 'is', 'a', 'list', 'of', 'lambdaterms', 'assigned', 'to', 'free', 'variables', 'in', 'this', 'paper', 'we', 'investigate', 'some', 'dynamic', 'aspects', 'of', 'evaluation', 'in', 'lambdacalculus', 'considering', 'the', 'quantitative', 'combinatorial', 'properties', 'of', 'environments', 'and', 'closures', 'focusing', 'on', 'two', 'classes', 'of', 'environments', 'and', 'closures', 'namely', 'the', 'socalled', 'plain', 'and', 'closed', 'ones', 'we', 'consider', 'the', 'problem', 'of', 'their', 'asymptotic', 'counting', 'and', 'effective', 'random', 'generation', 'we', 'provide', 'an', 'asymptotic', 'approximation', 'of', 'the', 'number', 'of', 'both', 'plain', 'environments', 'and', 'closures', 'of', 'size', 'n', 'using', 'the', 'associated', 'generating', 'functions', 'we', 'construct', 'effective', 'samplers', 'for', 'both', 'classes', 'of', 'combinatorial', 'structures', 'finally', 'we', 'discuss', 'the', 'related', 'problem', 'of', 'asymptotic', 'counting', 'and', 'random', 'generation', 'of', 'closed', 'environemnts', 'and', 'closures']] | [-0.17326179655142745, 0.08784299422196844, -0.05492845535124267, 0.10912003872576485, -0.04451891030815143, -0.06187801120480649, 0.046895368417717964, 0.34781436134073745, -0.2737079899253926, -0.287019107392744, 0.08521010129120817, -0.2587350840449221, -0.12790248529194273, 0.21036225219110125, -0.08166657025659722, 0.017175130350025075, 0.04312788480472632, 0.04607363789070124, -0.07311091471025352, -0.23254691044225784, 0.36769978943476944, -0.02835777659613387, 0.24080687122685568, 0.030594757863117338, 0.11197596898607041, 0.015406735489999218, -0.052033527974823586, 0.05902161657165988, -0.11419315420483288, 0.15435919829966374, 0.223438718543507, 0.16284722487855338, 0.24372823146623523, -0.4295949817432049, -0.12933360759862103, 0.12198940215324212, 0.13973853536627667, 0.06902023352843646, -0.019244573545586178, -0.2357117564862076, 0.09652849190336253, -0.19452595966693043, -0.13104009159133398, -0.07153592812583635, 0.023073434497096708, 0.08260059589870218, -0.2596178580691716, -0.02757421465235223, 0.12145292786951352, 0.09095183418909634, -0.0856702376150043, -0.11382150795849923, 0.06823413870892578, 0.13514587130481587, 0.008690361667921613, -0.0616798917727923, 0.07039193333130106, -0.17649382174792314, -0.14707624175606815, 0.39336960589341624, -0.021626146325116793, -0.23786389941167563, 0.23115244516892766, -0.06956444200324385, -0.1582080205951474, 0.06499231315771103, 0.16907198353201375, 0.1767880086668004, -0.13204685368232036, 0.12326227375997678, -0.04979491903257549, 0.08515391491101425, 0.07327469126356387, 0.06190420653586997, 0.1503534149098441, 0.18168502262464367, 0.02836420564541131, 0.20221310811243334, -0.04033738378430121, -0.12118816997460265, -0.32749421254528643, -0.16774199689437347, -0.10874211273849346, 0.01572522392174355, -0.11256568747495137, -0.25352010293951244, 0.4195747167096102, 0.12025531151689085, 0.18291694030893924, 0.12442076234216977, 0.2846384189490761, 0.09519692151142019, -0.019905238874480688, 0.07234963293614469, 0.10114722623760265, 0.14213757002130992, -0.0040879384859612115, -0.20948230628540418, 0.08857013757123534, 0.12304419428950414] |
1,802.00641 | Wave-breaking phenomena and global existence for the generalized
Fornberg-Whitham equation | We consider the generalized Fornberg-Whitham equation. We study sufficient
conditions for blow-up of solutions and show the global existence with small
initial data. Also we give some relations to the Burgers equation.
| math.AP | we consider the generalized fornbergwhitham equation we study sufficient conditions for blowup of solutions and show the global existence with small initial data also we give some relations to the burgers equation | [['we', 'consider', 'the', 'generalized', 'fornbergwhitham', 'equation', 'we', 'study', 'sufficient', 'conditions', 'for', 'blowup', 'of', 'solutions', 'and', 'show', 'the', 'global', 'existence', 'with', 'small', 'initial', 'data', 'also', 'we', 'give', 'some', 'relations', 'to', 'the', 'burgers', 'equation']] | [-0.19724584626965225, 0.017104854472563602, -0.09339394589187577, 0.14639615779742599, -0.11187808354588924, -0.12953192566055804, -0.009108844649745151, 0.2668417591485195, -0.2861332716420293, -0.23400465422309935, 0.182146398597979, -0.2634318205236923, -0.1680300094303675, 0.15326665906468406, -0.023127890715841204, 0.09411162632750347, 0.11857483500352828, 0.011254559911321849, -0.11286599063896574, -0.2724953136712429, 0.4306923528201878, -0.08002379858589848, 0.24901164160110056, 0.06491763528902084, 0.15267914047944942, -0.048190835819696076, 0.007491470467357431, -0.010788003099150956, -0.3510039316024631, 0.018900856986874714, 0.17086143209598958, 0.15064288768917322, 0.2279312806786038, -0.4763345632236451, -0.18490951495186891, 0.17485767012112774, 0.10049723617703421, 0.18889533390756696, -0.08522901250398718, -0.2882419603411108, 0.1483770333652501, -0.09633705773740076, -0.2699849084019661, -0.13374663612921722, 0.026537548401392996, 0.14943343801860465, -0.2868103430373594, 0.14672931867880834, 0.06895156385144219, 0.0015348899469245225, -0.24575801711762324, -0.036879958235658705, -0.024334460264071822, 0.025890062577673234, 0.053027555124572245, -0.09454218106839107, -0.06001912422652822, -0.13512110567535274, -0.014749759458936751, 0.3537560203112662, -0.10448239149991423, -0.3098556439508684, 0.16940457304008305, -0.1460837455233559, -0.15765947752515785, 0.03620188482454978, 0.17540891368116718, 0.11462833033874631, -0.1512572983338032, 0.05759295978168666, -0.11721197323640808, 0.09862983992206864, 0.08628985262475908, 0.006966726679820567, 0.05017962824786082, 0.12965994939236225, 0.1335477820248343, 0.1881712174799759, -0.03159844885703933, -0.07768059949739836, -0.4103539657080546, -0.15552071257843636, -0.06402526158490218, 0.11593854345846921, -0.12065821562964629, -0.1614093611133285, 0.3592515153577551, 0.19370196835370734, 0.20911352906841785, 0.09132860104728024, 0.1820522165071452, 0.22096726885320095, -0.06803606078028679, 0.10450404594303109, 0.16671027293796215, 0.1554290690110065, 0.14499175973469391, -0.22735182274482213, -0.017202254486619495, 0.1524447816045722] |
1,802.00642 | Testing the anisotropy of the universe using the simulated gravitational
wave events from advanced LIGO and Virgo | The detection of gravitational waves (GWs) provides a powerful tool to
constrain the cosmological parameters. In this paper, we investigate the
possibility of using GWs as standard sirens in testing the anisotropy of the
universe. We consider the GW signals produced by the coalescence of binary
black hole systems and simulate hundreds of GW events from the advanced Laser
Interferometer Gravitational-Wave Observatory (LIGO) and Virgo. It is found
that the anisotropy of the universe can be tightly constrained if the redshift
of the GW source is precisely known. The anisotropic amplitude can be
constrained with an accuracy comparable to the Union2.1 complication of type-Ia
supernovae if $\gtrsim 400$ GW events are observed. As for the preferred
direction, $\gtrsim 800$ GW events are needed in order to achieve the accuracy
of Union2.1. With 800 GW events, the probability of pseudo anisotropic signals
with an amplitude comparable to Union2.1 is negligible. These results show that
GWs can provide a complementary tool to supernovae in testing the anisotropy of
the universe.
| astro-ph.CO gr-qc | the detection of gravitational waves gws provides a powerful tool to constrain the cosmological parameters in this paper we investigate the possibility of using gws as standard sirens in testing the anisotropy of the universe we consider the gw signals produced by the coalescence of binary black hole systems and simulate hundreds of gw events from the advanced laser interferometer gravitationalwave observatory ligo and virgo it is found that the anisotropy of the universe can be tightly constrained if the redshift of the gw source is precisely known the anisotropic amplitude can be constrained with an accuracy comparable to the union21 complication of typeia supernovae if gtrsim 400 gw events are observed as for the preferred direction gtrsim 800 gw events are needed in order to achieve the accuracy of union21 with 800 gw events the probability of pseudo anisotropic signals with an amplitude comparable to union21 is negligible these results show that gws can provide a complementary tool to supernovae in testing the anisotropy of the universe | [['the', 'detection', 'of', 'gravitational', 'waves', 'gws', 'provides', 'a', 'powerful', 'tool', 'to', 'constrain', 'the', 'cosmological', 'parameters', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'possibility', 'of', 'using', 'gws', 'as', 'standard', 'sirens', 'in', 'testing', 'the', 'anisotropy', 'of', 'the', 'universe', 'we', 'consider', 'the', 'gw', 'signals', 'produced', 'by', 'the', 'coalescence', 'of', 'binary', 'black', 'hole', 'systems', 'and', 'simulate', 'hundreds', 'of', 'gw', 'events', 'from', 'the', 'advanced', 'laser', 'interferometer', 'gravitationalwave', 'observatory', 'ligo', 'and', 'virgo', 'it', 'is', 'found', 'that', 'the', 'anisotropy', 'of', 'the', 'universe', 'can', 'be', 'tightly', 'constrained', 'if', 'the', 'redshift', 'of', 'the', 'gw', 'source', 'is', 'precisely', 'known', 'the', 'anisotropic', 'amplitude', 'can', 'be', 'constrained', 'with', 'an', 'accuracy', 'comparable', 'to', 'the', 'union21', 'complication', 'of', 'typeia', 'supernovae', 'if', 'gtrsim', '400', 'gw', 'events', 'are', 'observed', 'as', 'for', 'the', 'preferred', 'direction', 'gtrsim', '800', 'gw', 'events', 'are', 'needed', 'in', 'order', 'to', 'achieve', 'the', 'accuracy', 'of', 'union21', 'with', '800', 'gw', 'events', 'the', 'probability', 'of', 'pseudo', 'anisotropic', 'signals', 'with', 'an', 'amplitude', 'comparable', 'to', 'union21', 'is', 'negligible', 'these', 'results', 'show', 'that', 'gws', 'can', 'provide', 'a', 'complementary', 'tool', 'to', 'supernovae', 'in', 'testing', 'the', 'anisotropy', 'of', 'the', 'universe']] | [-0.12079684189631648, 0.14768427114125057, -0.04665448203394633, 0.1645200206036125, -0.1367715404235891, -0.04329507968421759, -0.010472843899541269, 0.3474719673727772, -0.22632788460690617, -0.3200851381102222, 0.06534557681741371, -0.33340115432206185, -0.06650478307883964, 0.27733737648287343, 0.0611735109205689, 0.008606398772653415, 0.12441746610766997, -0.0005974232541727057, -0.06716414245039189, -0.24745456708201563, 0.2827141126839533, 0.16261824585048348, 0.19803472381872347, -0.05683948851046374, 0.08566441092573639, -0.03906751612001764, -0.04955908895326069, -0.010051413040075983, -0.12761842774012794, 0.027080097506682034, 0.2624788476484052, 0.19503622386227584, 0.19969754710161527, -0.39907724821629625, -0.2407702443888411, 0.12388550437546135, 0.12328107125081476, 0.15006011343766226, -0.0410326319480581, -0.34497198783806415, 0.11567202921997662, -0.20817419654867125, -0.14127729714216133, 0.010941362105465183, -0.0032614601815501893, 0.049026246911602185, -0.25432467110832, 0.13762635592969932, -0.022928112683681928, -0.08341194355549912, -0.040532153631959646, -0.03554853039150614, -0.00852729139816282, 0.018088374087320908, 0.07347830590983254, 0.12205585024397199, 0.12471734680834093, -0.10819394941236601, -0.12556680459446007, 0.4264203461685351, -0.1287053980188267, -0.07223855974041812, 0.16558593377651828, -0.1987795909739188, -0.12442486126729775, 0.13207966501552923, 0.1913745205903459, 0.1058014704211105, -0.17928181951823977, 0.043072225641697603, 0.11582997665252714, 0.23543481284286827, 0.08761715564122867, 0.07062687163540561, 0.3264944516122341, 0.18997710544638158, 0.03478511833929501, 0.07311698775516734, -0.19993910160181777, 0.0646405140204089, -0.2941645442617647, -0.07212472652706008, -0.17826603266959345, 0.07837940322531808, -0.15744134469821888, -0.1523515284809816, 0.37939687706862707, 0.1785183008289009, 0.1266874431042067, 0.020908690875373958, 0.2814915177212762, 0.07365019699777588, 0.041081266307238753, 0.054768399420806545, 0.40474722446829436, 0.1222479999913568, 0.04939485158926497, -0.17787476515652434, 0.06484452734280023, -0.03215772887190161] |
1,802.00643 | Expansion of Iterated Stratonovich Stochastic Integrals of Fifth, Sixth, Seventh and Eighth Multiplicities Based on Generalized Multiple Fourier Series | The article is devoted to the construction of expansions of iterated Stratonovich stochastic integrals of fifth, sixth, seventh and eighth multiplicities based on the method of generalized multiple Fourier series converging in the sense of norm in the Hilbert space $L_2([t, T]^k),$ $k\in\mathbb{N}.$ Specifically, we mainly use multiple Fourier-Legendre series and multiple trigonometric Fourier series $(k=1,\ldots,8)$. The case of generalized multiple Fourier series in arbitrary complete orthonormal systems of functions in $L_2([t, T])$ is also considered for $k=1,\ldots,6$. Recently, expansions of iterated Stratonovich stochastic integrals of multiplicity $k,$ $k\in\mathbb{N}$ (the case of continuous weight functions and an arbitrary complete orthonormal system of functions in $L_2([t, T])$) have been obtained (Theorems 42, 44) but under one additional condition. The considered expansions converge in the mean-square sense and contain only one operation of the limit transition in contrast to its existing analogues. Expansions of iterated Stratonovich stochastic integrals turned out much simpler than appropriate expansions of iterated Ito stochastic integrals. We use expansions of the latter as a tool of the proof of expansions for iterated Stratonovich stochastic integrals. Iterated Stratonovich stochastic integrals are part of the Taylor-Stratonovich expansion for solutions of Ito stochastic differential equations. That is why the results of the article can be applied to the numerical integrations of Ito stochastic differential equations. | math.PR | the article is devoted to the construction of expansions of iterated stratonovich stochastic integrals of fifth sixth seventh and eighth multiplicities based on the method of generalized multiple fourier series converging in the sense of norm in the hilbert space l_2t tk kinmathbbn specifically we mainly use multiple fourierlegendre series and multiple trigonometric fourier series k1ldots8 the case of generalized multiple fourier series in arbitrary complete orthonormal systems of functions in l_2t t is also considered for k1ldots6 recently expansions of iterated stratonovich stochastic integrals of multiplicity k kinmathbbn the case of continuous weight functions and an arbitrary complete orthonormal system of functions in l_2t t have been obtained theorems 42 44 but under one additional condition the considered expansions converge in the meansquare sense and contain only one operation of the limit transition in contrast to its existing analogues expansions of iterated stratonovich stochastic integrals turned out much simpler than appropriate expansions of iterated ito stochastic integrals we use expansions of the latter as a tool of the proof of expansions for iterated stratonovich stochastic integrals iterated stratonovich stochastic integrals are part of the taylorstratonovich expansion for solutions of ito stochastic differential equations that is why the results of the article can be applied to the numerical integrations of ito stochastic differential equations | [['the', 'article', 'is', 'devoted', 'to', 'the', 'construction', 'of', 'expansions', 'of', 'iterated', 'stratonovich', 'stochastic', 'integrals', 'of', 'fifth', 'sixth', 'seventh', 'and', 'eighth', 'multiplicities', 'based', 'on', 'the', 'method', 'of', 'generalized', 'multiple', 'fourier', 'series', 'converging', 'in', 'the', 'sense', 'of', 'norm', 'in', 'the', 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1,802.00644 | Three-state structural heterogeneity in a model two dimensional fluid | Three structural populations with distinct average mobility are identified
within an equilibrium two-dimensional Lennard-Jones fluid simulated via
molecular dynamics at a constant temperature and varying density. Quantifying
the structure of the immediate neighborhood of particles by a tessellation
allows us to identify three distinct structural states by the shapes of the
tessellation cells. Irrespective of dynamic particle exchange among these
populations, each is observed to maintain their own thermodynamic and average
dynamic properties across the liquid-solid transition. We expect these findings
to be valuable for better understanding the structural basis of dynamical
heterogeneity in complex fluids defined in terms of local mobility
fluctuations.
| cond-mat.soft | three structural populations with distinct average mobility are identified within an equilibrium twodimensional lennardjones fluid simulated via molecular dynamics at a constant temperature and varying density quantifying the structure of the immediate neighborhood of particles by a tessellation allows us to identify three distinct structural states by the shapes of the tessellation cells irrespective of dynamic particle exchange among these populations each is observed to maintain their own thermodynamic and average dynamic properties across the liquidsolid transition we expect these findings to be valuable for better understanding the structural basis of dynamical heterogeneity in complex fluids defined in terms of local mobility fluctuations | [['three', 'structural', 'populations', 'with', 'distinct', 'average', 'mobility', 'are', 'identified', 'within', 'an', 'equilibrium', 'twodimensional', 'lennardjones', 'fluid', 'simulated', 'via', 'molecular', 'dynamics', 'at', 'a', 'constant', 'temperature', 'and', 'varying', 'density', 'quantifying', 'the', 'structure', 'of', 'the', 'immediate', 'neighborhood', 'of', 'particles', 'by', 'a', 'tessellation', 'allows', 'us', 'to', 'identify', 'three', 'distinct', 'structural', 'states', 'by', 'the', 'shapes', 'of', 'the', 'tessellation', 'cells', 'irrespective', 'of', 'dynamic', 'particle', 'exchange', 'among', 'these', 'populations', 'each', 'is', 'observed', 'to', 'maintain', 'their', 'own', 'thermodynamic', 'and', 'average', 'dynamic', 'properties', 'across', 'the', 'liquidsolid', 'transition', 'we', 'expect', 'these', 'findings', 'to', 'be', 'valuable', 'for', 'better', 'understanding', 'the', 'structural', 'basis', 'of', 'dynamical', 'heterogeneity', 'in', 'complex', 'fluids', 'defined', 'in', 'terms', 'of', 'local', 'mobility', 'fluctuations']] | [-0.12514341801621962, 0.15915960198829462, -0.09597133768686247, 0.038643645426683415, -0.00043552283884830845, -0.09039361484335211, 0.06484002323405257, 0.37208598685785405, -0.28275566895320575, -0.35376850895366624, -4.838191388735493e-06, -0.2611426949045831, -0.14527031448353261, 0.09393615830459098, 0.018374524945031525, 0.016285277297268214, -0.03817804862555225, -0.001747314207870694, -0.04428574792222455, -0.19639050552522022, 0.27412658324917255, 0.052646735954342536, 0.2850378601838952, 0.029131577142233987, 0.0787604058147815, -0.013860972996041613, -0.001999359317937667, 0.09940283740102088, -0.18495253097374462, 0.10254452239837299, 0.23113782795652457, 0.062370675842015486, 0.24553535600391768, -0.4473220786459527, -0.2752464898006914, 0.07443456447375849, 0.16316961567143648, 0.0755278175307926, -0.012182768373252842, -0.25691761553414094, 0.06567037807216922, -0.1122781918338925, -0.17688961275536746, -0.09407465391310872, 0.01896633233115511, 0.09401670078808008, -0.20853632465920421, 0.13193441777788464, -0.010889895013092737, 0.09220271606396124, -0.10811843618680497, -0.11216144643506958, -0.09217597740856044, 0.21214687101796126, -0.002858100578785666, -0.044054927679628715, 0.22825563668716445, -0.1287736945234022, -0.08554768303716645, 0.39340091325812837, -0.012816160660716298, -0.1822834294944893, 0.28718328389149267, -0.18368527425217976, -0.1202133720451333, 0.15503336854948147, 0.1845918802671062, 0.0636149050930099, -0.19273306784791944, 0.0001379950955347384, -0.0009477030388667312, 0.16805032079189436, 0.060170279867784345, 0.04059978001253697, 0.2659570169680327, 0.18353208823545467, 0.04202701102544382, 0.1327378697844801, -0.06324085205775297, -0.18189012184648692, -0.2130055222479464, -0.1550659573890124, -0.1669486372740668, 0.03480814886053355, -0.1921468938797491, -0.18014807422256585, 0.4213667693141016, 0.12814991385902016, 0.20438197917006548, 0.00429524380450354, 0.23950688965116781, 0.04319901576545994, 0.02965032597732486, 0.05898056061965531, 0.18279958000967225, 0.1299347790383092, 0.05964556893388045, -0.2701121539971565, 0.11762268487725733, 0.025771945848319572] |
1,802.00645 | Quantifying Structural Dynamic Heterogeneity in a Dense Two-dimensional
Equilibrium Liquid | We investigate the local structural fluctuations of a model equilibrium fluid
with an aim of better understanding the structural basis of locally
heterogeneous dynamics identified in recent simulations and experimental
studies of glass-forming liquids and other strongly interacting particle
systems, such as, lipid membranes, dusty plasmas, interfacial dynamics of
crystals, internal dynamics of proteins, etc. In particular, we study a
two-dimensional single component Lennard-Jones over a range of densities and
constant temperature covering both the liquid and crystalline phase by
molecular dynamics simulation. We identify three distinct structural classes of
particles by examining the immediate neighborhood of individual particles based
on a solid-angle based tessellation technique. In particular, the area
distribution of the neighborhoods reveals cages having hexagonal, pentagonal
and square symmetries. Pentagonal cells appear to be predominant motif in the
liquid phase, while the solid phase is dominated by hexagonal cells, as in the
case of the perfect crystal. Examining the spatial organization of particles
belonging to each structural class separately shows that finite-size clusters
formed by particles of hexagonal and pentagonal population found within liquids
and solids, respectively, grow in a complementary way as a function of density
and both particle populations percolate within liquid-crystal coexistence
regime. Interestingly, the populations of particles with different local
structures, defined by the arrangement of neighboring particles, are found to
maintain different diffusivity computed from the velocity autocorrelation of
constituent particles for all densities studied. Our analysis provides a new
approach for analyzing and a possible framework for understanding the
structural changes in soft materials.
| cond-mat.soft | we investigate the local structural fluctuations of a model equilibrium fluid with an aim of better understanding the structural basis of locally heterogeneous dynamics identified in recent simulations and experimental studies of glassforming liquids and other strongly interacting particle systems such as lipid membranes dusty plasmas interfacial dynamics of crystals internal dynamics of proteins etc in particular we study a twodimensional single component lennardjones over a range of densities and constant temperature covering both the liquid and crystalline phase by molecular dynamics simulation we identify three distinct structural classes of particles by examining the immediate neighborhood of individual particles based on a solidangle based tessellation technique in particular the area distribution of the neighborhoods reveals cages having hexagonal pentagonal and square symmetries pentagonal cells appear to be predominant motif in the liquid phase while the solid phase is dominated by hexagonal cells as in the case of the perfect crystal examining the spatial organization of particles belonging to each structural class separately shows that finitesize clusters formed by particles of hexagonal and pentagonal population found within liquids and solids respectively grow in a complementary way as a function of density and both particle populations percolate within liquidcrystal coexistence regime interestingly the populations of particles with different local structures defined by the arrangement of neighboring particles are found to maintain different diffusivity computed from the velocity autocorrelation of constituent particles for all densities studied our analysis provides a new approach for analyzing and a possible framework for understanding the structural changes in soft materials | [['we', 'investigate', 'the', 'local', 'structural', 'fluctuations', 'of', 'a', 'model', 'equilibrium', 'fluid', 'with', 'an', 'aim', 'of', 'better', 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1,802.00646 | Lower and upper bounds on nonunital qubit channel capacities | Classical capacity of unital qubit channels is well known, whereas that of
nonunital qubit channels is not. We find lower and upper bounds on classical
capacity of nonunital qubit channels by using a recently developed
decomposition technique relating nonunital and unital positive qubit maps.
| quant-ph | classical capacity of unital qubit channels is well known whereas that of nonunital qubit channels is not we find lower and upper bounds on classical capacity of nonunital qubit channels by using a recently developed decomposition technique relating nonunital and unital positive qubit maps | [['classical', 'capacity', 'of', 'unital', 'qubit', 'channels', 'is', 'well', 'known', 'whereas', 'that', 'of', 'nonunital', 'qubit', 'channels', 'is', 'not', 'we', 'find', 'lower', 'and', 'upper', 'bounds', 'on', 'classical', 'capacity', 'of', 'nonunital', 'qubit', 'channels', 'by', 'using', 'a', 'recently', 'developed', 'decomposition', 'technique', 'relating', 'nonunital', 'and', 'unital', 'positive', 'qubit', 'maps']] | [-0.1495560026642951, 0.15353242568248374, -0.007267037184316327, 0.03287440248955549, -0.0033558643084358086, -0.39190094967753714, 0.13712054621084296, 0.3336700743953274, -0.26485278842632065, -0.17334695520218124, 0.09439678110753778, -0.21895072236657143, -0.11683548249261962, 0.2877844537777657, -0.1693146005061201, 0.08915664001621983, 0.09508023093539206, 0.08716467242232863, -0.07541919164677066, -0.22490297934432005, 0.36867103209211066, 0.06144385128705339, 0.25919640773314645, 0.09061558625068176, 0.10212138667702675, -0.014099994631992145, -0.0336685622618957, -0.057657223152504725, -0.17642128505212895, 0.03374892354688861, 0.2991592465550639, 0.12845762162892657, 0.1323685727124526, -0.38545077946037054, -0.22183542658405547, 0.16241848696584135, 0.14367389767854052, 0.08356833115050738, -0.002397204508518123, -0.3351170787249099, 0.05618798766623844, -0.2620300721398301, 0.07929140120871704, -0.09976509535177187, 0.04015441657446155, -0.09485628201880238, -0.3305493304611776, 0.09275748449462382, 0.20444255868047054, 0.05488334565928777, -0.05748857015913183, -0.09927528734657574, 0.013741515211718664, 0.15171538656365804, -0.17490932685111396, -0.05049646768814207, 0.19134512299206108, -0.009195057865740224, -0.1830808697480031, 0.17863396224989134, -0.09381064328111031, -0.23219722551717, 0.15125517343932932, -0.18710369247392836, -0.04561803972517902, 0.07811190729791467, 0.0422656535255638, 0.11288303314623507, -0.17156982561573386, 0.17467587256793526, -0.10941843081011692, 0.16689318410036239, 0.05769802183336155, 0.2275326927933334, 0.06522127583792264, 0.01863756123930216, 0.18349652949043296, 0.284844356123358, -0.018103747835001825, -0.14280188952530312, -0.26729490430178965, -0.14900423950431022, -0.20257560282268308, 0.17306766329387424, -0.0633072740899727, -0.07701928599007343, 0.33775020399215544, 0.032781548298027534, 0.11307186929678376, 0.07670965231955051, 0.34345601101151924, 0.11906909543639896, 0.1309466982599009, 0.1069158487318253, 0.16819518025625835, 0.4144979657986286, 0.009696775909767232, -0.20006444641727616, 0.03369077281306752, 0.08509098962796005] |
1,802.00647 | The boundary of random planar maps via looptrees | We study the scaling limits of looptrees associated with
Bienaym\'e--Galton--Watson (BGW) trees, that are obtained by replacing every
vertex of the tree by a "cycle" whose size is its degree. First, we consider
BGW trees whose offspring distribution is critical and in the domain of
attraction of a Gaussian distribution. We prove that the Brownian CRT is the
scaling limit of the associated looptrees, thereby confirming a prediction of
[CK14b]. Then, we deal with BGW trees whose offspring distribution is critical
and heavy-tailed. We show that the scaling limit of the associated looptrees is
a multiple of the unit circle. This corresponds to a so-called condensation
phenomenon, meaning that the underlying tree exhibits a vertex with macroscopic
degree. Here, we rely on an invariance principle for random walks with negative
drift, which is of independent interest. Finally, we apply these results to the
study of the scaling limits of large faces of Boltzmann planar maps. We
complete the results of [Ric17] and establish a phase transition for the
topology of these maps in the non-generic critical regime.
| math.PR | we study the scaling limits of looptrees associated with bienaymegaltonwatson bgw trees that are obtained by replacing every vertex of the tree by a cycle whose size is its degree first we consider bgw trees whose offspring distribution is critical and in the domain of attraction of a gaussian distribution we prove that the brownian crt is the scaling limit of the associated looptrees thereby confirming a prediction of ck14b then we deal with bgw trees whose offspring distribution is critical and heavytailed we show that the scaling limit of the associated looptrees is a multiple of the unit circle this corresponds to a socalled condensation phenomenon meaning that the underlying tree exhibits a vertex with macroscopic degree here we rely on an invariance principle for random walks with negative drift which is of independent interest finally we apply these results to the study of the scaling limits of large faces of boltzmann planar maps we complete the results of ric17 and establish a phase transition for the topology of these maps in the nongeneric critical regime | [['we', 'study', 'the', 'scaling', 'limits', 'of', 'looptrees', 'associated', 'with', 'bienaymegaltonwatson', 'bgw', 'trees', 'that', 'are', 'obtained', 'by', 'replacing', 'every', 'vertex', 'of', 'the', 'tree', 'by', 'a', 'cycle', 'whose', 'size', 'is', 'its', 'degree', 'first', 'we', 'consider', 'bgw', 'trees', 'whose', 'offspring', 'distribution', 'is', 'critical', 'and', 'in', 'the', 'domain', 'of', 'attraction', 'of', 'a', 'gaussian', 'distribution', 'we', 'prove', 'that', 'the', 'brownian', 'crt', 'is', 'the', 'scaling', 'limit', 'of', 'the', 'associated', 'looptrees', 'thereby', 'confirming', 'a', 'prediction', 'of', 'ck14b', 'then', 'we', 'deal', 'with', 'bgw', 'trees', 'whose', 'offspring', 'distribution', 'is', 'critical', 'and', 'heavytailed', 'we', 'show', 'that', 'the', 'scaling', 'limit', 'of', 'the', 'associated', 'looptrees', 'is', 'a', 'multiple', 'of', 'the', 'unit', 'circle', 'this', 'corresponds', 'to', 'a', 'socalled', 'condensation', 'phenomenon', 'meaning', 'that', 'the', 'underlying', 'tree', 'exhibits', 'a', 'vertex', 'with', 'macroscopic', 'degree', 'here', 'we', 'rely', 'on', 'an', 'invariance', 'principle', 'for', 'random', 'walks', 'with', 'negative', 'drift', 'which', 'is', 'of', 'independent', 'interest', 'finally', 'we', 'apply', 'these', 'results', 'to', 'the', 'study', 'of', 'the', 'scaling', 'limits', 'of', 'large', 'faces', 'of', 'boltzmann', 'planar', 'maps', 'we', 'complete', 'the', 'results', 'of', 'ric17', 'and', 'establish', 'a', 'phase', 'transition', 'for', 'the', 'topology', 'of', 'these', 'maps', 'in', 'the', 'nongeneric', 'critical', 'regime']] | [-0.13305826388299466, 0.16756566271526804, -0.08900102013322923, 0.04423039635709886, -0.0443413042436753, -0.08974294468760491, 0.08908000165796173, 0.3400333533915026, -0.2695078192331961, -0.21503412661541785, 0.12341762415399508, -0.2993697000401361, -0.16795518306217022, 0.15532901252752968, -0.06475916228523212, 0.05065934724806409, 0.04405427242762276, 0.07185401593468019, -0.00791129862091371, -0.2070982453200434, 0.3727990508784673, 0.022624734567777652, 0.26777108690967516, 0.03485327731551868, 0.14555347170148578, 0.011765665841937464, -0.023891729366566455, 0.054540851470748226, -0.1657925277565872, 0.11425509114882776, 0.14909531102914894, 0.09223477718715523, 0.23814700004245554, -0.3505750355961001, -0.1707194236293435, 0.16882260319776832, 0.14472775274089406, 0.09288798333744386, -0.00467283806098359, -0.24148611653197025, 0.10074921675957739, -0.11838829605856778, -0.18907836290874652, -0.01340362239096846, 0.03650399062782526, 0.07149147591819721, -0.2683541142701038, 0.0704780649766326, 0.12357691692454474, 0.029921514450439383, -0.005662142372956233, -0.09031254504009018, -0.03423714098653623, 0.13424699516434754, 0.014897304932320757, 0.022754020850573268, 0.09354305230580004, -0.15934299270422864, -0.15181614868076784, 0.35118292603109563, -0.052922693662944116, -0.2040766222098942, 0.17664345345326832, -0.20909305846584694, -0.18434815731697848, 0.11009250714044486, 0.14983735622804878, 0.08806171248799988, -0.13553100317184413, 0.11483478944648856, -0.0764044826238283, 0.10579532083123923, 0.06834267075971834, -0.008503615514242223, 0.1831260028534702, 0.19734992033136742, 0.09871519848438245, 0.1981605364798036, -0.08585299453531792, -0.11457500231053148, -0.3015875386090816, -0.13470178317810808, -0.22229818896124406, 0.06526630073253598, -0.18640298695145507, -0.225107807948121, 0.38474873632192613, 0.14933148937299848, 0.26118246254644223, 0.16966070294978897, 0.18451867971835392, 0.17247020861400025, 0.04929131166809904, 0.05302530713412645, 0.1533574830038872, 0.1528591967347477, 0.03728487339136856, -0.18021269649267196, 0.07768111629677671, 0.09148836314678192] |
1,802.00648 | Energy transfer and correlations in cavity-embedded donor-acceptor
configurations | The rate of energy transfer in donor-acceptor systems can be manipulated via
the common interaction with the confined electromagnetic modes of a
micro-cavity. We analyze the competition between the near-field short range
dipole-dipole energy exchange processes and the cavity mediated long-range
interactions in a simplified model consisting of effective two-level quantum
emitters that could be relevant for molecules in experiments under cryogenic
conditions. We find that free-space collective incoherent interactions,
typically associated with sub- and superradiance, can modify the traditional
resonant energy transfer scaling with distance. The same holds true for
cavity-mediated collective incoherent interactions in a weak-coupling but
strong-cooperativity regime. In the strong coupling regime, we elucidate the
effect of pumping into cavity polaritons and analytically identify an optimal
energy flow regime characterized by equal donor/acceptor Hopfield coefficients
in the middle polariton. Finally we quantify the build-up of quantum
correlations in the donor-acceptor system via the two-qubit concurrence as a
measure of entanglement.
| quant-ph | the rate of energy transfer in donoracceptor systems can be manipulated via the common interaction with the confined electromagnetic modes of a microcavity we analyze the competition between the nearfield short range dipoledipole energy exchange processes and the cavity mediated longrange interactions in a simplified model consisting of effective twolevel quantum emitters that could be relevant for molecules in experiments under cryogenic conditions we find that freespace collective incoherent interactions typically associated with sub and superradiance can modify the traditional resonant energy transfer scaling with distance the same holds true for cavitymediated collective incoherent interactions in a weakcoupling but strongcooperativity regime in the strong coupling regime we elucidate the effect of pumping into cavity polaritons and analytically identify an optimal energy flow regime characterized by equal donoracceptor hopfield coefficients in the middle polariton finally we quantify the buildup of quantum correlations in the donoracceptor system via the twoqubit concurrence as a measure of entanglement | [['the', 'rate', 'of', 'energy', 'transfer', 'in', 'donoracceptor', 'systems', 'can', 'be', 'manipulated', 'via', 'the', 'common', 'interaction', 'with', 'the', 'confined', 'electromagnetic', 'modes', 'of', 'a', 'microcavity', 'we', 'analyze', 'the', 'competition', 'between', 'the', 'nearfield', 'short', 'range', 'dipoledipole', 'energy', 'exchange', 'processes', 'and', 'the', 'cavity', 'mediated', 'longrange', 'interactions', 'in', 'a', 'simplified', 'model', 'consisting', 'of', 'effective', 'twolevel', 'quantum', 'emitters', 'that', 'could', 'be', 'relevant', 'for', 'molecules', 'in', 'experiments', 'under', 'cryogenic', 'conditions', 'we', 'find', 'that', 'freespace', 'collective', 'incoherent', 'interactions', 'typically', 'associated', 'with', 'sub', 'and', 'superradiance', 'can', 'modify', 'the', 'traditional', 'resonant', 'energy', 'transfer', 'scaling', 'with', 'distance', 'the', 'same', 'holds', 'true', 'for', 'cavitymediated', 'collective', 'incoherent', 'interactions', 'in', 'a', 'weakcoupling', 'but', 'strongcooperativity', 'regime', 'in', 'the', 'strong', 'coupling', 'regime', 'we', 'elucidate', 'the', 'effect', 'of', 'pumping', 'into', 'cavity', 'polaritons', 'and', 'analytically', 'identify', 'an', 'optimal', 'energy', 'flow', 'regime', 'characterized', 'by', 'equal', 'donoracceptor', 'hopfield', 'coefficients', 'in', 'the', 'middle', 'polariton', 'finally', 'we', 'quantify', 'the', 'buildup', 'of', 'quantum', 'correlations', 'in', 'the', 'donoracceptor', 'system', 'via', 'the', 'twoqubit', 'concurrence', 'as', 'a', 'measure', 'of', 'entanglement']] | [-0.1855872636873981, 0.25290867764119657, -0.03420682999516953, 0.0960242581931156, 0.040005032318565094, -0.18532968499983837, 0.0379491495801702, 0.380662894972107, -0.2856252202094575, -0.25724780155357974, -0.058655169213440245, -0.2786006365158577, -0.10779389543032725, 0.1811822870581904, 0.06233471646308412, 0.014902527819561097, 0.040112351023993804, -0.017031628816552898, -0.006305021066462097, -0.12239040019069768, 0.3099798179943772, 0.056048832448759404, 0.31761094252122385, 0.12358242056060131, 0.09470213947549852, 0.035909666221747114, 0.1172465121486145, -0.034990033189601755, -0.13149633272324637, 0.07676622163986763, 0.26450502416202676, -0.026861554171488274, 0.2500688570941147, -0.46185896321644193, -0.20924752886754042, 0.09700552907656708, 0.1932215846868025, 0.1635544300901101, -0.03779918727239752, -0.29652862950818604, -0.040330259963334385, -0.1892486051017163, -0.08763194019644478, -0.06666666737398486, -0.012612833291462629, 0.05371115736669429, -0.29347542461214793, 0.12102001487620608, 0.05717389364696406, 0.04666189089861814, -0.051095359958708286, 0.01893026643094844, -0.007715216776952635, 0.12332836943648122, -0.029969267824021192, -0.05426275478736832, 0.18492118856912249, -0.15611006123100535, -0.1134775195657306, 0.3525236323757365, -0.12765649455071432, -0.16621621706663003, 0.21945768191168705, -0.13961100366173518, 0.004100638013363518, 0.13663819251320283, 0.17821652881855912, 0.09075380719321616, -0.16904774771431108, 0.06020673747163789, 0.007948276002471354, 0.1958246768202657, 0.06512625203117899, 0.14028359657865674, 0.22342977640858175, 0.1681713715463487, 0.0025198524817824364, 0.21634341152597925, -0.0687761556558209, -0.15414405453438854, -0.26040501443340497, -0.13511095681529053, -0.21410515300284316, 0.06888354832635206, -0.07876521725172567, -0.09082374209994633, 0.3862437621379892, 0.12589870383841248, 0.15187281349466908, -0.015817927965115195, 0.2710823752107768, 0.15296100305615518, 0.08188004705984925, 0.03428814870311447, 0.3464072485472642, 0.14169789356593457, 0.06551354195849568, -0.34944044009727593, 0.02444402318983491, -0.00173758371167031] |
1,802.00649 | On the complexity of the outer-connected bondage and the outer-connected
reinforcement problems | Let $G=(V,E)$ be a graph. A subset $S \subseteq V$ is a dominating set of $G$
if every vertex not in $S$ is adjacent to a vertex in $S$. A set $\tilde{D}
\subseteq V$ of a graph $G=(V,E) $ is called an outer-connected dominating set
for $G$ if (1) $\tilde{D}$ is a dominating set for $G$, and (2) $G [V \setminus
\tilde{D}]$, the induced subgraph of $G$ by $V \setminus \tilde{D}$, is
connected. The minimum size among all outer-connected dominating sets of $G$ is
called the outer-connected domination number of $G$ and is denoted by
$\tilde{\gamma}_c(G)$. We define the outer-connected bondage number of a graph
$G$ as the minimum number of edges whose removal from $G$ results in a graph
with an outer-connected domination number larger than the one for $G$. Also,
the outer-connected reinforcement number of a graph $G$ is defined as the
minimum number of edges whose addition to $G$ results in a graph with an
outer-connected domination number, which is smaller than the one for $G$. This
paper shows that the decision problems for the outer-connected bondage and the
outer-connected reinforcement numbers are $\mathbf{NP}$-hard. Also, the exact
values of the bondage number are determined for several classes of graphs.
| cs.DM cs.CC math.CO | let gve be a graph a subset s subseteq v is a dominating set of g if every vertex not in s is adjacent to a vertex in s a set tilded subseteq v of a graph gve is called an outerconnected dominating set for g if 1 tilded is a dominating set for g and 2 g v setminus tilded the induced subgraph of g by v setminus tilded is connected the minimum size among all outerconnected dominating sets of g is called the outerconnected domination number of g and is denoted by tildegamma_cg we define the outerconnected bondage number of a graph g as the minimum number of edges whose removal from g results in a graph with an outerconnected domination number larger than the one for g also the outerconnected reinforcement number of a graph g is defined as the minimum number of edges whose addition to g results in a graph with an outerconnected domination number which is smaller than the one for g this paper shows that the decision problems for the outerconnected bondage and the outerconnected reinforcement numbers are mathbfnphard also the exact values of the bondage number are determined for several classes of graphs | [['let', 'gve', 'be', 'a', 'graph', 'a', 'subset', 's', 'subseteq', 'v', 'is', 'a', 'dominating', 'set', 'of', 'g', 'if', 'every', 'vertex', 'not', 'in', 's', 'is', 'adjacent', 'to', 'a', 'vertex', 'in', 's', 'a', 'set', 'tilded', 'subseteq', 'v', 'of', 'a', 'graph', 'gve', 'is', 'called', 'an', 'outerconnected', 'dominating', 'set', 'for', 'g', 'if', '1', 'tilded', 'is', 'a', 'dominating', 'set', 'for', 'g', 'and', '2', 'g', 'v', 'setminus', 'tilded', 'the', 'induced', 'subgraph', 'of', 'g', 'by', 'v', 'setminus', 'tilded', 'is', 'connected', 'the', 'minimum', 'size', 'among', 'all', 'outerconnected', 'dominating', 'sets', 'of', 'g', 'is', 'called', 'the', 'outerconnected', 'domination', 'number', 'of', 'g', 'and', 'is', 'denoted', 'by', 'tildegamma_cg', 'we', 'define', 'the', 'outerconnected', 'bondage', 'number', 'of', 'a', 'graph', 'g', 'as', 'the', 'minimum', 'number', 'of', 'edges', 'whose', 'removal', 'from', 'g', 'results', 'in', 'a', 'graph', 'with', 'an', 'outerconnected', 'domination', 'number', 'larger', 'than', 'the', 'one', 'for', 'g', 'also', 'the', 'outerconnected', 'reinforcement', 'number', 'of', 'a', 'graph', 'g', 'is', 'defined', 'as', 'the', 'minimum', 'number', 'of', 'edges', 'whose', 'addition', 'to', 'g', 'results', 'in', 'a', 'graph', 'with', 'an', 'outerconnected', 'domination', 'number', 'which', 'is', 'smaller', 'than', 'the', 'one', 'for', 'g', 'this', 'paper', 'shows', 'that', 'the', 'decision', 'problems', 'for', 'the', 'outerconnected', 'bondage', 'and', 'the', 'outerconnected', 'reinforcement', 'numbers', 'are', 'mathbfnphard', 'also', 'the', 'exact', 'values', 'of', 'the', 'bondage', 'number', 'are', 'determined', 'for', 'several', 'classes', 'of', 'graphs']] | [-0.22707162267761305, 0.1710909600598825, 0.004860604354180395, -0.030601546890102325, -0.15845449074869974, -0.10201587732182815, 0.05676579610677436, 0.3371271393180359, -0.2899092343077064, -0.35656481847865507, 0.03904100140091032, -0.36485922494903206, -0.09012137290090322, 0.14264576973859222, -0.09346302531193942, -0.04762771261761373, 0.11094052258646116, 0.17792400338687003, 0.09141894917585887, -0.2455688711066614, 0.3195840349828359, -0.11707023479510098, 0.1278354474902153, 0.06817337528802454, 0.07810245290165767, 0.014730233824811876, 0.04177050439408049, 0.15649810974835418, -0.1965744722089221, 0.08024054367560893, 0.2621414593595546, 0.20040587555617095, 0.3373555154912174, -0.3419388619640085, -0.13850115098932292, 0.30684009817428887, 0.0597130680968985, -0.07714382636186201, 0.045696364652831105, -0.1827945758297574, 0.19402578552719205, -0.15456675816327334, -0.03858333587471861, 0.07433718990534544, 0.23243906629737465, 0.00858277098275721, -0.3498051599529572, -0.0690010429781978, 0.05046689284965396, 0.016134101407369598, 0.10387170300353318, -0.2149901039758697, -0.11518826918443664, 0.038060360989766194, -0.09660212080576457, 0.1536993953771889, 0.00616867898235796, -0.14496112466673367, -0.13859778076875956, 0.3967458133236505, -0.05596567668326315, -0.1295052650179423, 0.0750852265371941, -0.09324836229439824, -0.13689528249436989, 0.12772970305755735, 0.10198401394300163, 0.19744834745302797, -0.07313834794331342, 0.1644210535674938, -0.16196617256850004, 0.08876369464443996, 0.06511071791406721, 0.004121280864346773, 0.10650055687408894, 0.17943765720003285, 0.21319843610282987, 0.16642217123124284, -0.008488199752755464, 0.14855280116433278, -0.37618512894958256, -0.06529510768421459, -0.2814442926476477, 0.08924740565598768, -0.18206692278130504, -0.22063620903063566, 0.4181748668663204, 0.07622467490378768, 0.21787984371650965, 0.10368796004971954, 0.19948121301247737, 0.09940673359815264, 0.03853996621211991, 0.22159418921452015, 0.06425011028302834, 0.22723375426372514, -0.1383338041161187, -0.20606157898204402, 0.06780068355961703, 0.1747675580275245] |
1,802.0065 | On an integrable geometrical foundation of gravity | In a talk at the conference {\it Geometrical Foundations of Gravity at Tartu
2017}, it was suggested that the affine spacetime connection could be
associated with purely fictitious forces. This leads to gravitation in a flat
and smooth geometry. Fermions are found to nevertheless couple with the
metrical connection and a phase gauge field. The theory is reviewed in this
proceeding, in a Palatini and in a metric-affine gauge formulation.
| gr-qc | in a talk at the conference it geometrical foundations of gravity at tartu 2017 it was suggested that the affine spacetime connection could be associated with purely fictitious forces this leads to gravitation in a flat and smooth geometry fermions are found to nevertheless couple with the metrical connection and a phase gauge field the theory is reviewed in this proceeding in a palatini and in a metricaffine gauge formulation | [['in', 'a', 'talk', 'at', 'the', 'conference', 'it', 'geometrical', 'foundations', 'of', 'gravity', 'at', 'tartu', '2017', 'it', 'was', 'suggested', 'that', 'the', 'affine', 'spacetime', 'connection', 'could', 'be', 'associated', 'with', 'purely', 'fictitious', 'forces', 'this', 'leads', 'to', 'gravitation', 'in', 'a', 'flat', 'and', 'smooth', 'geometry', 'fermions', 'are', 'found', 'to', 'nevertheless', 'couple', 'with', 'the', 'metrical', 'connection', 'and', 'a', 'phase', 'gauge', 'field', 'the', 'theory', 'is', 'reviewed', 'in', 'this', 'proceeding', 'in', 'a', 'palatini', 'and', 'in', 'a', 'metricaffine', 'gauge', 'formulation']] | [-0.16553637020156853, 0.16248180497703807, -0.17216770656939065, 0.07053803420193228, -0.1349489025771618, -0.1462703977911068, -0.03987457118928432, 0.32407761069812946, -0.21404142220105443, -0.30003960417816417, 0.041493625331869614, -0.2348193649069539, -0.21765567936402347, 0.09059968635972057, -0.13794214066916277, -0.053828487132808994, -0.019287265895400196, 0.06211749536118337, -0.10033417108269142, -0.2624185808002949, 0.32263187038978297, 0.0948577529085534, 0.2567139578184911, 0.061394744752241034, 0.10042291111312807, -0.031155885995498726, -0.04424692059734038, 0.06795107536017894, -0.08803071314853567, 0.0903842341354383, 0.25974059005800104, 0.031248150020837785, 0.2084699007283364, -0.42122531897787535, -0.2111200934675123, 0.03201410629387413, 0.062051079388973966, 0.13473767659493854, -0.06197583386674523, -0.30930852074442167, -0.016046083652015243, -0.14895195078903012, -0.14537857617833652, -0.009582301029669386, 0.04181008205383218, -0.10224732370781046, -0.17557958577360425, 0.05770306510052511, 0.027711765933781864, 0.06044545599392482, -0.05376696977099138, -0.035310073662549256, -0.0010384242449487959, -0.0013372685627213547, 0.08981120218855462, 0.15480421406349965, 0.08072224099721227, -0.11666064236446151, -0.12572444520358528, 0.4431537864995854, -0.0648277615330049, -0.23985920447324002, 0.20545188208509768, -0.12714173449203373, -0.16807683330428388, 0.08267139527680618, 0.15773064467523779, 0.11439816453161517, -0.16806559771565455, 0.19487415594464566, -0.013022325646930507, 0.1029624895724867, 0.08747364631853997, -0.011557880755779999, 0.3138080350256392, 0.09772944971919059, 0.009144050255417823, 0.06510368690526645, 0.005045664123359269, -0.17995989166998438, -0.4066015521862677, -0.1757404900821192, -0.12589508724798049, 0.0683573742363868, -0.043227081698673175, -0.1322231898350375, 0.3535647999495268, 0.12783185654718962, 0.1233355973048934, 0.00904413040594331, 0.21755982371313232, 0.08147275466471911, 0.04183150604367256, 0.0533053251848157, 0.3532096391144608, 0.2072994179757578, 0.13891891856744354, -0.17835554015889232, -0.07646420589382096, 0.12017358790284821] |
1,802.00651 | Post-Newtonian particle physics in curved spacetime | In three very recent papers, (an initial paper by Morishima and Futamase, and
two subsequent papers by Morishima, Futamase, and Shimizu), it has been argued
that the observed experimental anomaly in the anomalous magnetic moment of the
muon might be explained using general relativity. It is my melancholy duty to
report that these articles are fundamentally flawed in that they fail to
correctly implement the Einstein equivalence principle of general relativity.
Insofar as one accepts the underlying logic behind these calculations (and so
rejects general relativity) the claimed effect due to the Earth's gravity will
be swamped by the effect due to Sun (by a factor of fifteen), and by the effect
due to the Galaxy (by a factor of two thousand). In contrast, insofar as one
accepts general relativity, then the claimed effect will be suppressed by an
extra factor of [(size of laboratory)/(radius of Earth)]^2. Either way, the
claimed effect is not compatible with explaining the observed experimental
anomaly in the anomalous magnetic moment of the muon.
| hep-ph gr-qc | in three very recent papers an initial paper by morishima and futamase and two subsequent papers by morishima futamase and shimizu it has been argued that the observed experimental anomaly in the anomalous magnetic moment of the muon might be explained using general relativity it is my melancholy duty to report that these articles are fundamentally flawed in that they fail to correctly implement the einstein equivalence principle of general relativity insofar as one accepts the underlying logic behind these calculations and so rejects general relativity the claimed effect due to the earths gravity will be swamped by the effect due to sun by a factor of fifteen and by the effect due to the galaxy by a factor of two thousand in contrast insofar as one accepts general relativity then the claimed effect will be suppressed by an extra factor of size of laboratoryradius of earth2 either way the claimed effect is not compatible with explaining the observed experimental anomaly in the anomalous magnetic moment of the muon | [['in', 'three', 'very', 'recent', 'papers', 'an', 'initial', 'paper', 'by', 'morishima', 'and', 'futamase', 'and', 'two', 'subsequent', 'papers', 'by', 'morishima', 'futamase', 'and', 'shimizu', 'it', 'has', 'been', 'argued', 'that', 'the', 'observed', 'experimental', 'anomaly', 'in', 'the', 'anomalous', 'magnetic', 'moment', 'of', 'the', 'muon', 'might', 'be', 'explained', 'using', 'general', 'relativity', 'it', 'is', 'my', 'melancholy', 'duty', 'to', 'report', 'that', 'these', 'articles', 'are', 'fundamentally', 'flawed', 'in', 'that', 'they', 'fail', 'to', 'correctly', 'implement', 'the', 'einstein', 'equivalence', 'principle', 'of', 'general', 'relativity', 'insofar', 'as', 'one', 'accepts', 'the', 'underlying', 'logic', 'behind', 'these', 'calculations', 'and', 'so', 'rejects', 'general', 'relativity', 'the', 'claimed', 'effect', 'due', 'to', 'the', 'earths', 'gravity', 'will', 'be', 'swamped', 'by', 'the', 'effect', 'due', 'to', 'sun', 'by', 'a', 'factor', 'of', 'fifteen', 'and', 'by', 'the', 'effect', 'due', 'to', 'the', 'galaxy', 'by', 'a', 'factor', 'of', 'two', 'thousand', 'in', 'contrast', 'insofar', 'as', 'one', 'accepts', 'general', 'relativity', 'then', 'the', 'claimed', 'effect', 'will', 'be', 'suppressed', 'by', 'an', 'extra', 'factor', 'of', 'size', 'of', 'laboratoryradius', 'of', 'earth2', 'either', 'way', 'the', 'claimed', 'effect', 'is', 'not', 'compatible', 'with', 'explaining', 'the', 'observed', 'experimental', 'anomaly', 'in', 'the', 'anomalous', 'magnetic', 'moment', 'of', 'the', 'muon']] | [-0.09550649513411953, 0.15137385005423803, -0.07165491009730332, 0.10762393001203302, -0.10384201157574419, -0.11777546442203583, 0.016185496674278325, 0.3063331108809595, -0.2169187440458371, -0.36728857962010675, 0.0834745745504547, -0.2569989200277501, -0.14069392928904123, 0.1883571794079841, -0.08041736677692957, 0.016604756691678237, 0.020417204568532844, 0.035903607108013096, -0.023504664621411275, -0.274965114369764, 0.3163428145828264, 0.12519173467172737, 0.2393785714990942, 0.058147676015575696, 0.07286475183644209, -0.04352020981044127, -0.053435916299875603, 0.08847628748857876, -0.04650689094499734, 0.05363268511235175, 0.22867246994507465, 0.10535708446678403, 0.23276150909656412, -0.4430686219662697, -0.19397862980995012, 0.05172934806176338, 0.11355880851273885, 0.12054801681808319, -0.04585524443649205, -0.2942936749278893, 0.06679253418178084, -0.18420828774807055, -0.1417959442597825, -0.04977268510195146, 0.055648036622330095, -0.06519986980549812, -0.2027363746107208, 0.08107507673193173, 0.10731686472455151, 0.03148269282575207, -0.01446423933319523, -0.11350074097379503, 0.0215250957555261, 0.0637772672848933, 0.15373958130815932, 0.07387143965594538, 0.12151370552671423, -0.08126046803936991, -0.1541834518212421, 0.4224253991528986, -0.06796490513517645, -0.14438101204942508, 0.16054683215551482, -0.19717328694750028, -0.15062294878817375, 0.1149741281805762, 0.08241698550094054, 0.08873433619457106, -0.17235972333407726, 0.06356308791409135, -0.027528128740994865, 0.1488151078179748, 0.06968510991904929, 0.013089719452949225, 0.2573193657486868, 0.10410277581919568, -0.009423451750617788, 0.06977364104395418, -0.07782404905701258, -0.03917135364735073, -0.28226471686713306, -0.13063682945787414, -0.16412209973569555, 0.08794066923151861, -0.016726225414941037, -0.10795630531733384, 0.3455748965750527, 0.16852605779212057, 0.16390802244324776, -0.022762845085543885, 0.28160866670849094, 0.09643178620005408, 0.10499394573786729, 0.04251753585413098, 0.3477445326700627, 0.13599880269156342, 0.10222205237333988, -0.21915899448556803, 0.12487253914545123, 0.039259431991210354] |
1,802.00652 | Thermal depinning and creep in strong pinning theory | Pinning and thermal creep determine the response of numerous systems
containing superstructures, e.g., vortices in type II superconductors, domain
walls in ferroics, or dislocations in metals. The combination of drive and
thermal fluctuations lead to the superstructure's depinning and its velocity
$v$ determines the electric, magnetic, or mechanical response. It is commonly
believed that pinning and creep collapse above the critical drive $F_c$,
entailing a sharp rise in the velocity $v$. We challenge this perception by
studying the effects of thermal fluctuations within the framework of strong
vortex pinning in type-II superconductors. In fact, we show that pinning and
thermal creep persist far beyond the critical force. The resulting
force-velocity characteristic largely maintains its zero-temperature shape and
thermal creep manifests itself by a downward renormalisation of the critical
drive. Such characteristics is in agreement with Coulomb's law of dry friction
and has been often observed in experiments.
| cond-mat.supr-con cond-mat.stat-mech | pinning and thermal creep determine the response of numerous systems containing superstructures eg vortices in type ii superconductors domain walls in ferroics or dislocations in metals the combination of drive and thermal fluctuations lead to the superstructures depinning and its velocity v determines the electric magnetic or mechanical response it is commonly believed that pinning and creep collapse above the critical drive f_c entailing a sharp rise in the velocity v we challenge this perception by studying the effects of thermal fluctuations within the framework of strong vortex pinning in typeii superconductors in fact we show that pinning and thermal creep persist far beyond the critical force the resulting forcevelocity characteristic largely maintains its zerotemperature shape and thermal creep manifests itself by a downward renormalisation of the critical drive such characteristics is in agreement with coulombs law of dry friction and has been often observed in experiments | [['pinning', 'and', 'thermal', 'creep', 'determine', 'the', 'response', 'of', 'numerous', 'systems', 'containing', 'superstructures', 'eg', 'vortices', 'in', 'type', 'ii', 'superconductors', 'domain', 'walls', 'in', 'ferroics', 'or', 'dislocations', 'in', 'metals', 'the', 'combination', 'of', 'drive', 'and', 'thermal', 'fluctuations', 'lead', 'to', 'the', 'superstructures', 'depinning', 'and', 'its', 'velocity', 'v', 'determines', 'the', 'electric', 'magnetic', 'or', 'mechanical', 'response', 'it', 'is', 'commonly', 'believed', 'that', 'pinning', 'and', 'creep', 'collapse', 'above', 'the', 'critical', 'drive', 'f_c', 'entailing', 'a', 'sharp', 'rise', 'in', 'the', 'velocity', 'v', 'we', 'challenge', 'this', 'perception', 'by', 'studying', 'the', 'effects', 'of', 'thermal', 'fluctuations', 'within', 'the', 'framework', 'of', 'strong', 'vortex', 'pinning', 'in', 'typeii', 'superconductors', 'in', 'fact', 'we', 'show', 'that', 'pinning', 'and', 'thermal', 'creep', 'persist', 'far', 'beyond', 'the', 'critical', 'force', 'the', 'resulting', 'forcevelocity', 'characteristic', 'largely', 'maintains', 'its', 'zerotemperature', 'shape', 'and', 'thermal', 'creep', 'manifests', 'itself', 'by', 'a', 'downward', 'renormalisation', 'of', 'the', 'critical', 'drive', 'such', 'characteristics', 'is', 'in', 'agreement', 'with', 'coulombs', 'law', 'of', 'dry', 'friction', 'and', 'has', 'been', 'often', 'observed', 'in', 'experiments']] | [-0.16729358460977484, 0.22040629464195294, -0.08586177485203053, 0.02393332586249932, -0.06453099226116576, -0.11937930000008268, 0.05709370328778667, 0.3455230065551745, -0.28942484117182743, -0.27117353798758215, 0.030866960240971474, -0.2776301570781538, -0.14980027224349024, 0.18015615428880263, -0.015410634072902961, 0.018496754103289523, -0.0752974046730012, 0.007042024062857742, -0.023046534052308724, -0.16227450805595842, 0.25622456456173437, -0.0018159686793655563, 0.38470351048206697, 0.0951861090495625, 0.030524071828671256, -0.05921005468093315, 0.04092226330456989, 0.10543850414236361, -0.16695022445893135, -0.008482743868743684, 0.19402450966002532, -0.09193363448852027, 0.2354028869204882, -0.4790773981561263, -0.23361906814737385, 0.08354193448931688, 0.1524895283659456, 0.12397710061125254, -0.03613168589191093, -0.24795845651771037, 0.027981119832264728, -0.099294004214256, -0.1649593904354692, -0.06371369840716626, 0.07077410214954391, 0.07219704200013154, -0.22089190421100122, 0.17543351193921652, 0.10812380266230122, 0.10473163850402752, -0.11514921071559038, -0.047740683806933415, -0.05614895859517816, 0.04946117818697679, 0.08594195964092034, 0.043772368588117366, 0.26761757455081964, -0.22195629924884205, -0.06775460926163308, 0.4102980456739461, -0.023281569782720536, -0.08951437211006272, 0.19225503347471964, -0.17090652216872088, -0.0644945633276144, 0.19104831049624246, 0.11768904590003547, 0.009401432846185394, -0.12756152188292147, 0.037768652705003694, 0.03101651264722047, 0.1155659938278627, 0.07266598094102679, 0.0036236300781273384, 0.298366261867895, 0.21476498648974107, 0.014570465539487041, 0.14471115055969175, -0.12996431581397244, -0.0855751783352624, -0.2934472994549441, -0.10860146159546918, -0.18721717775428706, 0.05863942937025813, -0.08196347112659298, -0.22978603906397307, 0.34476231190306295, 0.16264187011608006, 0.17527184829881676, -0.01936965237124538, 0.22823190131560475, 0.12583724835089274, 0.10736529382268842, 0.07182845911708008, 0.2963817873019345, 0.13267726413145356, 0.16880094955341104, -0.31943385009685543, 0.10478363751883613, 0.011050093364680097] |
1,802.00653 | Maximum determinant positive definite Toeplitz completions | We consider partial symmetric Toeplitz matrices where a positive definite
completion exists. We characterize those patterns where the maximum determinant
completion is itself Toeplitz. We then extend these results with positive
definite replaced by positive semidefinite, and maximum determinant replaced by
maximum rank. These results are used to determine the singularity degree of a
family of semidefinite optimization problems.
| math.OC | we consider partial symmetric toeplitz matrices where a positive definite completion exists we characterize those patterns where the maximum determinant completion is itself toeplitz we then extend these results with positive definite replaced by positive semidefinite and maximum determinant replaced by maximum rank these results are used to determine the singularity degree of a family of semidefinite optimization problems | [['we', 'consider', 'partial', 'symmetric', 'toeplitz', 'matrices', 'where', 'a', 'positive', 'definite', 'completion', 'exists', 'we', 'characterize', 'those', 'patterns', 'where', 'the', 'maximum', 'determinant', 'completion', 'is', 'itself', 'toeplitz', 'we', 'then', 'extend', 'these', 'results', 'with', 'positive', 'definite', 'replaced', 'by', 'positive', 'semidefinite', 'and', 'maximum', 'determinant', 'replaced', 'by', 'maximum', 'rank', 'these', 'results', 'are', 'used', 'to', 'determine', 'the', 'singularity', 'degree', 'of', 'a', 'family', 'of', 'semidefinite', 'optimization', 'problems']] | [-0.12829198672483533, 0.09659627937096155, 0.02062350805154291, 0.08704345716139839, -0.1126521070708789, -0.2087990922411367, -0.016739642365946102, 0.35460784387285427, -0.3250222306509139, -0.183268288616091, 0.20843434789202223, -0.31392278793757245, -0.23762686708468503, 0.08684248925518182, -0.06461122671489493, 0.08335399734235163, 0.053537607571836246, 0.08153955191689527, -0.2447396418024486, -0.272910081390765, 0.4072874077927258, 0.006290202234256066, 0.13688178417288652, 0.09848484067025326, 0.10743308828164966, 0.019923737982950978, -0.0256012989429094, 0.058317876720832565, -0.1384450870929128, 0.09636226117263659, 0.32602883734093124, 0.23875898202502374, 0.27790612552188715, -0.38340761367294746, -0.13741554544007373, 0.24226979835558746, 0.07939720538373785, 0.006839528549620408, -0.0521759309853285, -0.24993061028042082, 0.17194808070484738, -0.1465406682467092, -0.11532595878372252, -0.06108907034020808, -0.02029171702649318, -0.047914574964571806, -0.3675693355626979, 0.033291969385187505, 0.06271089193553238, 0.028087538094812278, -0.030093626142874107, -0.2216939970661523, 0.05809815306911024, 0.047513764983011506, 0.0001080990236220976, -0.04577287393661563, 0.05884948179473059, 0.008626317735603553, -0.11409041191593318, 0.27786301873857155, -0.08099138275799105, -0.26198099930060365, 0.07563644147209697, -0.16542365076809618, -0.09018156460438997, 0.13416710213394994, 0.16866607310534534, 0.2070375414396502, -0.03264339486042322, 0.13119427289052124, -0.12606540180237616, 0.1380067767823999, 0.11429294398433323, -0.046168442184137085, 0.17604190149439214, 0.005314220161319284, 0.16995010359244325, 0.15918177013459095, 0.07230873918160796, -0.09939750791448405, -0.26783197027457467, -0.15998315162585763, -0.25647838187988026, 0.1274162799325156, -0.15339303040266297, -0.1838713961227213, 0.4028847064759772, 0.04346213845330906, 0.2313446365928246, 0.15969594102352858, 0.19265359236614116, 0.1777445132828365, 0.051617561192330665, 0.07523133088755658, 0.09935125310794782, 0.23486577458206123, 0.03080290249722489, -0.216523117306879, 0.057517354060911526, 0.1572443294354667] |
1,802.00654 | Involutions on moduli spaces of vector bundles and GIT quotients | Let $C$ be a hyperelliptic curve of genus $g \geq 3$. We give a new
description of the theta map for moduli spaces of rank 2 semistable vector
bundles with trivial determinant. In orther to do this, we describe a fibration
of (a birational model of) the moduli space, whose fibers are GIT quotients
$(\mathbb{P}^1)^{2g}//\operatorname{PGL(2)}$. Then, we use recent results of
Kumar to identify the restriction of the theta map to these GIT quotients with
some explicit osculating projection. As a corollary of this construction, we
obtain a birational equivalence between the ramification locus of the theta map
and a fibration in Kummer $(g-1)$-varieties over $\mathbb{P}^g$.
| math.AG | let c be a hyperelliptic curve of genus g geq 3 we give a new description of the theta map for moduli spaces of rank 2 semistable vector bundles with trivial determinant in orther to do this we describe a fibration of a birational model of the moduli space whose fibers are git quotients mathbbp12goperatornamepgl2 then we use recent results of kumar to identify the restriction of the theta map to these git quotients with some explicit osculating projection as a corollary of this construction we obtain a birational equivalence between the ramification locus of the theta map and a fibration in kummer g1varieties over mathbbpg | [['let', 'c', 'be', 'a', 'hyperelliptic', 'curve', 'of', 'genus', 'g', 'geq', '3', 'we', 'give', 'a', 'new', 'description', 'of', 'the', 'theta', 'map', 'for', 'moduli', 'spaces', 'of', 'rank', '2', 'semistable', 'vector', 'bundles', 'with', 'trivial', 'determinant', 'in', 'orther', 'to', 'do', 'this', 'we', 'describe', 'a', 'fibration', 'of', 'a', 'birational', 'model', 'of', 'the', 'moduli', 'space', 'whose', 'fibers', 'are', 'git', 'quotients', 'mathbbp12goperatornamepgl2', 'then', 'we', 'use', 'recent', 'results', 'of', 'kumar', 'to', 'identify', 'the', 'restriction', 'of', 'the', 'theta', 'map', 'to', 'these', 'git', 'quotients', 'with', 'some', 'explicit', 'osculating', 'projection', 'as', 'a', 'corollary', 'of', 'this', 'construction', 'we', 'obtain', 'a', 'birational', 'equivalence', 'between', 'the', 'ramification', 'locus', 'of', 'the', 'theta', 'map', 'and', 'a', 'fibration', 'in', 'kummer', 'g1varieties', 'over', 'mathbbpg']] | [-0.2148236228532872, 0.024895875240581164, -0.145444970098731, 0.04591803879983434, -0.11615946156976437, -0.14826251023439962, 0.040503291328419545, 0.33186332584874145, -0.37348388025573304, -0.19713652046234573, 0.10442142094738636, -0.22067274017150976, -0.1747336405175693, 0.20844803458346434, -0.20990113573130761, -0.010563720383871239, 0.01105418758132287, 0.060627856083865304, -0.1691350914296034, -0.3316017458920629, 0.4514857217651403, -0.07301391323449687, 0.1657743713936036, 0.04373680265819274, 0.13712630181311114, 0.003173227941852461, -0.001022823471395136, -0.07944439265123135, -0.2011547000463871, 0.15767746621254577, 0.34474581129197934, 0.07907113646274631, 0.12690127634633225, -0.3166403267532587, -0.14039839041228316, 0.27223997808161, 0.10718681737418892, 0.0010125512682190797, 0.0405844931843356, -0.23156681586310124, 0.0630277114947444, -0.15085263529485002, -0.20240351825373845, -0.13384275137926044, 0.07311047284154094, 0.05526711389386249, -0.20381431891899376, -0.0780484975966652, 0.07953720462951556, 0.18812683888358397, -0.035153211173556236, -0.10239309722611915, -0.1273850017064477, 0.03233177318391435, 0.023090569030050443, 0.12620688919701334, 0.0687475167576549, -0.11506550341790307, -0.061067181291257586, 0.35328831656121656, -0.10247099145939484, -0.22079721564264262, 0.06893937683040366, -0.14577412456093194, -0.1511911827736326, 0.15990851595274452, 0.12325636888808995, 0.18060190189043196, 0.05365108090760277, 0.17903169712845182, -0.133599336005892, 0.10222405150026373, 0.12555122300666005, -0.08452949967705509, 0.13524150592048914, 0.10286432610670991, 0.06256700105268906, 0.13081074456426595, -0.037357299538889846, 0.008742275651774902, -0.4171534292399883, -0.25151523189349057, -0.051524847020277556, 0.20886568752235002, -0.14680491606645552, -0.1620486728254778, 0.4365766275339552, 0.044744921201677286, 0.2586968654712427, 0.16979253643816247, 0.20884249259625082, -0.0156447215054356, 0.02241716657887276, 0.020170898791583416, 0.13925037971947532, 0.21518773529497745, -0.06517286417503995, -0.08776412047536193, -0.07352156998042596, 0.2565653368568464] |
1,802.00655 | Analysis and computation of some tumor growth models with nutrient: from
cell density models to free boundary dynamics | In this paper, we study the tumor growth equation along with various models
for the nutrient component, including the \emph{in vitro} model and the
\emph{in vivo} model. At the cell density level, the spatial availability of
the tumor density $n$ is governed by the Darcy law via the pressure
$p(n)=n^{\gamma}$. For finite $\gamma$, we prove some a priori estimates of the
tumor growth model, such as boundedness of the nutrient density, and
non-negativity and growth estimate of the tumor density. As $\gamma \rightarrow
\infty$, the cell density models formally converge to Hele-Shaw flow models,
which determine the free boundary dynamics of the tumor tissue in the
incompressible limit. We derive several analytical solutions to the Hele-Shaw
flow models, which serve as benchmark solutions to the geometric motion of
tumor front propagation. Finally, we apply a conservative and positivity
preserving numerical scheme to the cell density models, with numerical results
verifying the link between cell density models and the free boundary dynamical
models.
| math.AP math.NA | in this paper we study the tumor growth equation along with various models for the nutrient component including the emphin vitro model and the emphin vivo model at the cell density level the spatial availability of the tumor density n is governed by the darcy law via the pressure pnngamma for finite gamma we prove some a priori estimates of the tumor growth model such as boundedness of the nutrient density and nonnegativity and growth estimate of the tumor density as gamma rightarrow infty the cell density models formally converge to heleshaw flow models which determine the free boundary dynamics of the tumor tissue in the incompressible limit we derive several analytical solutions to the heleshaw flow models which serve as benchmark solutions to the geometric motion of tumor front propagation finally we apply a conservative and positivity preserving numerical scheme to the cell density models with numerical results verifying the link between cell density models and the free boundary dynamical models | [['in', 'this', 'paper', 'we', 'study', 'the', 'tumor', 'growth', 'equation', 'along', 'with', 'various', 'models', 'for', 'the', 'nutrient', 'component', 'including', 'the', 'emphin', 'vitro', 'model', 'and', 'the', 'emphin', 'vivo', 'model', 'at', 'the', 'cell', 'density', 'level', 'the', 'spatial', 'availability', 'of', 'the', 'tumor', 'density', 'n', 'is', 'governed', 'by', 'the', 'darcy', 'law', 'via', 'the', 'pressure', 'pnngamma', 'for', 'finite', 'gamma', 'we', 'prove', 'some', 'a', 'priori', 'estimates', 'of', 'the', 'tumor', 'growth', 'model', 'such', 'as', 'boundedness', 'of', 'the', 'nutrient', 'density', 'and', 'nonnegativity', 'and', 'growth', 'estimate', 'of', 'the', 'tumor', 'density', 'as', 'gamma', 'rightarrow', 'infty', 'the', 'cell', 'density', 'models', 'formally', 'converge', 'to', 'heleshaw', 'flow', 'models', 'which', 'determine', 'the', 'free', 'boundary', 'dynamics', 'of', 'the', 'tumor', 'tissue', 'in', 'the', 'incompressible', 'limit', 'we', 'derive', 'several', 'analytical', 'solutions', 'to', 'the', 'heleshaw', 'flow', 'models', 'which', 'serve', 'as', 'benchmark', 'solutions', 'to', 'the', 'geometric', 'motion', 'of', 'tumor', 'front', 'propagation', 'finally', 'we', 'apply', 'a', 'conservative', 'and', 'positivity', 'preserving', 'numerical', 'scheme', 'to', 'the', 'cell', 'density', 'models', 'with', 'numerical', 'results', 'verifying', 'the', 'link', 'between', 'cell', 'density', 'models', 'and', 'the', 'free', 'boundary', 'dynamical', 'models']] | [-0.06279070929317555, 0.09790890232474769, -0.05830882387148992, 0.02587901038458999, 0.007010913829995979, -0.12502418041174293, 0.029246482264210026, 0.30615975750864755, -0.28070549241567944, -0.24208517585771147, 0.12091537213143863, -0.25929433982009475, -0.15561805807975243, 0.1448442360287914, -0.050698410796279215, 0.11486334896318164, 0.03205008454756777, 0.022988162257980487, 0.009658305680159456, -0.19868565424886295, 0.28681431424381754, 0.01932493498062958, 0.31521650418778013, 0.059098933500191485, 0.12506224264199875, -0.07629948299412864, -0.003051319937597706, 0.01285715712529393, -0.26307988981716335, 0.12626146114003262, 0.2017304826554181, 0.114571668402153, 0.2680983694663607, -0.4965662488031276, -0.3189892539254141, 0.09916551545933351, 0.15839375431869201, 0.1060851436478566, -0.033265375412179166, -0.24949310996471355, 0.08218943664908224, -0.14276446805838844, -0.17266373643478067, -0.03781681024232266, -0.03554221609410662, 0.09344924079732947, -0.30379252873870155, 0.18764456198984605, 0.016294025971304034, 0.04944275107280993, -0.1871157199179071, -0.05535984471851023, -0.07729091601206209, 0.15392301797647007, 0.08670059054647428, -0.0071601932815938425, 0.16604235763112024, -0.19347477692572734, -0.037550134063692564, 0.34795284560181616, -0.054611333944872366, -0.27573840848823883, 0.20835036984991906, -0.15637043384912494, -0.08232741250500361, 0.12117985630789714, 0.18476879751737812, 0.08610888730297306, -0.14718567084821854, 0.07136665478237378, -0.03780183820299781, 0.14135838435349626, 0.09098151070499642, -0.07617634014220712, 0.13455128336255873, 0.21018622418206115, 0.06646643386957068, 0.1004194537111159, -0.11469710882325072, -0.08915757890559317, -0.3417951285489112, -0.18200630086665012, -0.11710884030445577, 0.040884724314908805, -0.15706295719301916, -0.2118551072994282, 0.3733442153902361, 0.10019197360097622, 0.1695237807873116, 0.11887851363533865, 0.2816122372559509, 0.1339885630617381, 0.0031057187841962213, 0.03497986953346903, 0.13559808762059317, 0.18006321884003346, 0.08477096243397049, -0.2945755661858581, 0.08481508341288159, 0.11497241301427347] |
1,802.00656 | A continuous time tug-of-war game for parabolic $p(x,t)$-Laplace type
equations | We formulate a stochastic differential game in continuous time that
represents the unique viscosity solution to a terminal value problem for a
parabolic partial differential equation involving the normalized
$p(x,t)$-Laplace operator. Our game is formulated in a way that covers the full
range $1<p(x,t)<\infty$. Furthermore, we prove the uniqueness of viscosity
solutions to our equation in the whole space under suitable assumptions.
| math.AP math.PR | we formulate a stochastic differential game in continuous time that represents the unique viscosity solution to a terminal value problem for a parabolic partial differential equation involving the normalized pxtlaplace operator our game is formulated in a way that covers the full range 1pxtinfty furthermore we prove the uniqueness of viscosity solutions to our equation in the whole space under suitable assumptions | [['we', 'formulate', 'a', 'stochastic', 'differential', 'game', 'in', 'continuous', 'time', 'that', 'represents', 'the', 'unique', 'viscosity', 'solution', 'to', 'a', 'terminal', 'value', 'problem', 'for', 'a', 'parabolic', 'partial', 'differential', 'equation', 'involving', 'the', 'normalized', 'pxtlaplace', 'operator', 'our', 'game', 'is', 'formulated', 'in', 'a', 'way', 'that', 'covers', 'the', 'full', 'range', '1pxtinfty', 'furthermore', 'we', 'prove', 'the', 'uniqueness', 'of', 'viscosity', 'solutions', 'to', 'our', 'equation', 'in', 'the', 'whole', 'space', 'under', 'suitable', 'assumptions']] | [-0.15675189811736345, -0.04148735612009962, -0.12826262176580105, 0.06256078656491203, -0.11675709051390488, -0.0907945097113649, 0.039331485090466835, 0.2956753601009647, -0.37043841572788855, -0.22560825801144044, 0.12777886816087022, -0.2562768624164164, -0.12179050321380297, 0.16149582099169493, -0.10742244565238555, 0.10994788159926733, 0.07674385517214735, 0.04443387840874493, -0.06372779596131295, -0.20549649621049562, 0.3821813637080292, -0.08664408605545759, 0.2085517764557153, 0.033397988582146355, 0.2225190145118783, 0.013493528310209512, 0.02898574505622188, 0.07752344071971796, -0.2108078852657248, 0.051116425200598316, 0.2772744380752556, 0.10382588438612099, 0.34659270631770295, -0.38708126672233145, -0.19841908098508915, 0.110476542590186, 0.0806812039105959, 0.09527727572713048, -0.04595963426011925, -0.24248693200449148, 0.09621222538407892, -0.11841738039705281, -0.18925861162909616, -0.0386150103683273, 0.0379447752609849, 0.02017602746685346, -0.36582703694390756, 0.09870017399080097, 0.022187644274284442, -0.027971787962208814, -0.1523915519627432, -0.06527852990354101, -0.01911599945742637, 0.07998758302225421, 0.024674707398905107, -0.011001787796461333, 0.07003766728448682, -0.1414932018883216, -0.08465953894192353, 0.36802703050586083, -0.15878169952581325, -0.2967166470363736, 0.11789668967636922, -0.1432632740586996, -0.1308120102621615, 0.1346906893265744, 0.1497324722430979, 0.2010393196406464, -0.1796256547483305, 0.1291817507861803, -0.13278078907169402, 0.16981189479120076, 0.04283279908510546, -0.01680645247300466, 0.07044781111180783, 0.20360421470055978, 0.21120109893381595, 0.12381534163529674, 0.023872174990052977, -0.1851832723710686, -0.35798577095071477, -0.20875901034645114, -0.08661819618816177, 0.1052182976466914, -0.10508229616728688, -0.17370610687260826, 0.3802998810308054, 0.13337922731103996, 0.1652773767709732, 0.10199935996594528, 0.24072804351647695, 0.23356109272766237, -0.03178475620225072, 0.05303947615660339, 0.19476512130349874, 0.15721611980115996, 0.20123452573704223, -0.23365279426022123, 0.05416507184660683, 0.1149375478271395] |
1,802.00657 | Hopf solitons on compact manifolds | Hopf solitons in the Skyrme-Faddeev system on $R^3$ typically have a
complicated structure, in particular when the Hopf number Q is large. By
contrast, if we work on a compact 3-manifold M, and the energy functional
consists only of the Skyrme term (the strong-coupling limit), then the picture
simplifies. There is a topological lower bound $E\geq Q$ on the energy, and the
local minima of E can look simple even for large Q. The aim here is to describe
and investigate some of these solutions, when M is $S^3$, $T^3$ or $S^2 \times
S^1$. In addition, we review the more elementary baby-Skyrme system, with M
being $S^2$ or $T^2$.
| math-ph hep-th math.MP | hopf solitons in the skyrmefaddeev system on r3 typically have a complicated structure in particular when the hopf number q is large by contrast if we work on a compact 3manifold m and the energy functional consists only of the skyrme term the strongcoupling limit then the picture simplifies there is a topological lower bound egeq q on the energy and the local minima of e can look simple even for large q the aim here is to describe and investigate some of these solutions when m is s3 t3 or s2 times s1 in addition we review the more elementary babyskyrme system with m being s2 or t2 | [['hopf', 'solitons', 'in', 'the', 'skyrmefaddeev', 'system', 'on', 'r3', 'typically', 'have', 'a', 'complicated', 'structure', 'in', 'particular', 'when', 'the', 'hopf', 'number', 'q', 'is', 'large', 'by', 'contrast', 'if', 'we', 'work', 'on', 'a', 'compact', '3manifold', 'm', 'and', 'the', 'energy', 'functional', 'consists', 'only', 'of', 'the', 'skyrme', 'term', 'the', 'strongcoupling', 'limit', 'then', 'the', 'picture', 'simplifies', 'there', 'is', 'a', 'topological', 'lower', 'bound', 'egeq', 'q', 'on', 'the', 'energy', 'and', 'the', 'local', 'minima', 'of', 'e', 'can', 'look', 'simple', 'even', 'for', 'large', 'q', 'the', 'aim', 'here', 'is', 'to', 'describe', 'and', 'investigate', 'some', 'of', 'these', 'solutions', 'when', 'm', 'is', 's3', 't3', 'or', 's2', 'times', 's1', 'in', 'addition', 'we', 'review', 'the', 'more', 'elementary', 'babyskyrme', 'system', 'with', 'm', 'being', 's2', 'or', 't2']] | [-0.21266969883229173, 0.12516375842991226, -0.05225987117224877, 0.08957740435069171, -0.055949900393297364, -0.16691724645452352, 0.002837558627265309, 0.3256581783029806, -0.1913598943886202, -0.27477546521129276, 0.11793748644680434, -0.2861463398664096, -0.13306769905579832, 0.17155373498472734, -0.06289143927412433, -0.025933523256536743, 0.03152735583022784, 0.1303767260044403, -0.0791618117802016, -0.24030634019963887, 0.34503714152859577, -0.03950962610115562, 0.207703770057153, 0.05402654777558674, 0.056938153185343385, -0.0001326318015344441, 0.03586104637761643, 0.021869999711153977, -0.20352943873015839, 0.0848757446222349, 0.20350745396363898, 0.030542547383063702, 0.20531073358943772, -0.4295578540533508, -0.1860072339432092, 0.1399211535196102, 0.15445263029734066, 0.06894230329508491, 0.018066651072890343, -0.2301589962684575, 0.10936705150359541, -0.1621240688265737, -0.11434595210375179, -0.0864549237944254, 0.10050689959642264, 0.010248284633143232, -0.2054446584896458, 0.048646763565206745, 0.10161159535306036, 0.029869969395937723, -0.052951096954388086, -0.10512776556424797, -0.050412068991503176, 0.0524336706762578, 0.05917009591646151, 0.10780616008907283, 0.08055996506714151, -0.12829233199751022, -0.036765719550328514, 0.36869483576113476, -0.08712969889112432, -0.2112589787986608, 0.1853219263358127, -0.17240387098351068, -0.13607821993769034, 0.14502625636448827, 0.1168421731808932, 0.15472119177238794, -0.07784997830525203, 0.20888597728233835, -0.08249902854424714, 0.17291326666306361, 0.06900538618402949, 0.029272369314155996, 0.17770203762610845, 0.16220001451064484, 0.11074459531617889, 0.10329543637248491, -0.07216197264021895, -0.053811820219655374, -0.33295509474642504, -0.15315604326795837, -0.17736692379502186, 0.1367259146047568, -0.09143075943722095, -0.10911007460480163, 0.36369537073401137, 0.02716226161910443, 0.2246408734060482, 0.0538883457609683, 0.2512535938508211, 0.11154327445680601, 0.03858851262906549, 0.1073060350787907, 0.18392256392009018, 0.10412116436535544, 0.04389154887544589, -0.18654741450435047, -0.06806415193415152, 0.11528958046142387] |
1,802.00658 | Shape and angular distribution of the 4.438-MeV line from proton
inelastic scattering off 12C | The emission of the 4.438-MeV gamma-ray line in proton inelastic scattering
off 12C has been investigated in detail. For this, two independent descriptions
of the correlated scattering and emission process have been developed, one for
the direct reaction mechanism and the other for the compound-nucleus (CN)
component. Direct reactions were calculated in the framework of the
coupled-channels formalism, while the CN component was described as a
superposition of separate resonances with definite spin and parity, treated
with the angular momentum coupling theory. Both components were incoherently
added and compared to a comprehensive data set on measured line shapes and
gamma-ray angular distributions in the proton energy range Ep = 5.44 - 25.0
MeV. In the range Ep ~ 14 - 25 MeV, good agreement with data was obtained with
a dominating direct reaction component. At lower energy, an important CN
component was required to describe line shape and angular distribution data. In
general, a good decription of the data could be found for a CN component with
spin and parity corresponding to a known nearby resonance. The new calculation
improves significantly the agreement with line shape data compared to previous
ones. Based on these results, predictions for line shapes and gamma-ray angular
distributions up to Ep = 100 MeV were made and applied to gamma-ray emissions
in solar flares and proton radiotherapy.
| nucl-ex astro-ph.HE | the emission of the 4438mev gammaray line in proton inelastic scattering off 12c has been investigated in detail for this two independent descriptions of the correlated scattering and emission process have been developed one for the direct reaction mechanism and the other for the compoundnucleus cn component direct reactions were calculated in the framework of the coupledchannels formalism while the cn component was described as a superposition of separate resonances with definite spin and parity treated with the angular momentum coupling theory both components were incoherently added and compared to a comprehensive data set on measured line shapes and gammaray angular distributions in the proton energy range ep 544 250 mev in the range ep 14 25 mev good agreement with data was obtained with a dominating direct reaction component at lower energy an important cn component was required to describe line shape and angular distribution data in general a good decription of the data could be found for a cn component with spin and parity corresponding to a known nearby resonance the new calculation improves significantly the agreement with line shape data compared to previous ones based on these results predictions for line shapes and gammaray angular distributions up to ep 100 mev were made and applied to gammaray emissions in solar flares and proton radiotherapy | [['the', 'emission', 'of', 'the', '4438mev', 'gammaray', 'line', 'in', 'proton', 'inelastic', 'scattering', 'off', '12c', 'has', 'been', 'investigated', 'in', 'detail', 'for', 'this', 'two', 'independent', 'descriptions', 'of', 'the', 'correlated', 'scattering', 'and', 'emission', 'process', 'have', 'been', 'developed', 'one', 'for', 'the', 'direct', 'reaction', 'mechanism', 'and', 'the', 'other', 'for', 'the', 'compoundnucleus', 'cn', 'component', 'direct', 'reactions', 'were', 'calculated', 'in', 'the', 'framework', 'of', 'the', 'coupledchannels', 'formalism', 'while', 'the', 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1,802.00659 | On the Complexity of the Cayley Semigroup Membership Problem | We investigate the complexity of deciding, given a multiplication table
representing a semigroup S, a subset X of S and an element t of S, whether t
can be expressed as a product of elements of X. It is well-known that this
problem is NL-complete and that the more general Cayley groupoid membership
problem, where the multiplication table is not required to be associative, is
P-complete. For groups, the problem can be solved in deterministic log-space
which raised the question of determining the exact complexity of this variant.
Barrington, Kadau, Lange and McKenzie showed that for Abelian groups and for
certain solvable groups, the problem is contained in the complexity class FOLL
and they concluded that these variants are not hard for any complexity class
containing PARITY. The more general case of arbitrary groups remained open. In
this work, we show that for both groups and for commutative semigroups, the
problem is solvable in qAC^0 (quasi-polynomial size circuits of constant depth
with unbounded fan-in) and conclude that these variants are also not hard for
any class containing PARITY. Moreover, we prove that NL-completeness already
holds for the classes of 0-simple semigroups and nilpotent semigroups. Together
with our results on groups and commutative semigroups, we prove the existence
of a natural class of finite semigroups which generates a variety of finite
semigroups with NL-complete Cayley semigroup membership, while the Cayley
semigroup membership problem for the class itself is not NL-hard. We also
discuss applications of our technique to FOLL.
| cs.CC | we investigate the complexity of deciding given a multiplication table representing a semigroup s a subset x of s and an element t of s whether t can be expressed as a product of elements of x it is wellknown that this problem is nlcomplete and that the more general cayley groupoid membership problem where the multiplication table is not required to be associative is pcomplete for groups the problem can be solved in deterministic logspace which raised the question of determining the exact complexity of this variant barrington kadau lange and mckenzie showed that for abelian groups and for certain solvable groups the problem is contained in the complexity class foll and they concluded that these variants are not hard for any complexity class containing parity the more general case of arbitrary groups remained open in this work we show that for both groups and for commutative semigroups the problem is solvable in qac0 quasipolynomial size circuits of constant depth with unbounded fanin and conclude that these variants are also not hard for any class containing parity moreover we prove that nlcompleteness already holds for the classes of 0simple semigroups and nilpotent semigroups together with our results on groups and commutative semigroups we prove the existence of a natural class of finite semigroups which generates a variety of finite semigroups with nlcomplete cayley semigroup membership while the cayley semigroup membership problem for the class itself is not nlhard we also discuss applications of our technique to foll | [['we', 'investigate', 'the', 'complexity', 'of', 'deciding', 'given', 'a', 'multiplication', 'table', 'representing', 'a', 'semigroup', 's', 'a', 'subset', 'x', 'of', 's', 'and', 'an', 'element', 't', 'of', 's', 'whether', 't', 'can', 'be', 'expressed', 'as', 'a', 'product', 'of', 'elements', 'of', 'x', 'it', 'is', 'wellknown', 'that', 'this', 'problem', 'is', 'nlcomplete', 'and', 'that', 'the', 'more', 'general', 'cayley', 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-0.19812661558226777, 0.07273998335693721, 0.16392237199240445] |
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