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Within the category of graded manifolds, the most important seem to be the non-negatively graded manifolds. If the Grassmann parity of the coordinates coincides with the weight (mod 2), then we have a {{formula:1221ece6-04ff-4f09-b4d3-c6c2265c77d9}} -manifold (cf. {{cite:df09bb101395b91e8030276568b66bd56013b387}}, {{ci...
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59d6409a502d5c02ee4ba900dc0f357f
RetinaNet {{cite:7f5bfdcbaf885008b244a501c1007aea8f4b134d}} takes into account the data driven property that allows the network to focus on “hard” samples for improved accuracy. The easy to adapt backbones for feature extraction at the beginning of the network provides the opportunity to experiment with deeper and vari...
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0f749c547ed9559962eb9caec473bf72
In this paper, three problems are discussed: the damping of primordial electric fields, electric solitons and their effects on acoustic oscillations. As calculated in relevant cosmological monographs {{cite:19dbeaf5c63a4e1b510db7036f1db44f3e41f4a7}}, the effects on CMB from electromagnetic fields are often ignored, alt...
d
61df0a244ddcf69ea6ef2bd45a635040
NGC 5322 is also a core-depleted galaxy with a large deficit of stellar mass in the core {{cite:a664d52309fa10495d8f1c9cd7b113457daf985e}}. Such cores can result from dry mergers of galaxies. NGC 5322 lacks rich ISM as evidenced from non-detection of both molecular hydrogen {{cite:356fb1fbbb921561767e929d114b3e173cb3fb...
d
d8ab9f95bd72a75da43dbf2cf9f5f261
However, there are many limitations of this work. First, the nonparametric framework analyzes properties of the empirical risk minimizer, e.g., convergence rate, sample complexity, etc., but doesn't provide guidance to practical optimization and how to find them. Second, the proposed localized separation condition, lik...
d
b3dbccb4305500d14f194bff2c4ebebc
The idea of using a subset of the matched asymptotic equations (constraint equations) to learn about the backreacted description of a brane configuration in some background lies at the “soul” of the blackfold approach. In the blackfold approach, the constraint equations, which are dubbed blackfold equations, provide a ...
i
aa8edaf234cbf0068104899e8c405149
For Eq. (5), we utilize the D3Q15 lattice structure {{cite:f2ecaafacbec3d89861f276967cd4cdbbc1829ed}}, where the weight coefficient is given by {{formula:41ae9053-1b1e-492d-bd78-5f06bf804531}} , {{formula:041a07ba-86bf-44ca-918f-722a38666b57}} , {{formula:70984eb6-ea6d-446b-813a-fdb3978d6cce}} , {{formula:c7f6e5b0-41c6...
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004a7f776ea2a4ecb497e7be8d13998f
From the perspective of the user-item interaction graph, the individual interaction history is equivalent to the first-order connectivity of the user. Thus, a natural extension is to mine the higher-order connectivity from the user-item graph structure. For example, the second-order connectivity of a user consists of s...
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50c16578259b77527689f17729f46f6f
By going back to the original analogy with genes put forward by Richard Dawkins {{cite:4d7508c555371cf8913661b381410e7665bb3fce}}, we investigated the relation between the occurrence frequency of scientific memes and the degree to which they propagate along the citation graph. We found that scientific memes are indeed ...
d
04107b700ea39e154c81b49697581879
Influence of backbone networks. Besides the simple Conv-64F, we also use other deeper feature extractors to evaluate our model, i.e., ResNet12 and WRN-28-10. We compared other state-of-the-art methods that using these deeper feature extractors, including Dynamic-Net {{cite:fb34d8978bb4c333d8f6870f74c497ffbe6e61d6}}, SN...
d
16fce1975ee9ebd0e346f968f32f14bf
Despite its similarity to standard ODQA tasksHistorically, open-domain QA meant “QA on any domain/topic”. More recently, the term has been restricted to “retrieval on a large pile of corpus” {{cite:99a741aaa3c42f9e51b42c2cd53bb99b1e8a0783}}, so “open-retrieval QA” seems a better term here. However, to follow the recent...
i
96cd3111088f22c9b926d8be0053cb4d
An important feature of convolutional networks is their equivariance (consistency) with respect to the symmetry transformations of the input data {{cite:83ee2cd2fd2b19e9f867d4cc1d1a6700aae05053}}, {{cite:40ac02a5268a1c49292e585a183f971aaea4eb4c}}. Equivariance guarantees that exactly the same filters are applied to eac...
i
00dc99588ff0887dfc901891fea88ddb
Table REF lists the comparison between the proposed HSTGCNN model and the latest state-of-the-art methods using ROC AUC. The ten methods are Frame-Pred {{cite:72afaa1150ce8dd772c1872be33e0ae14aba41a0}}, MPED-RNN {{cite:2bb8e7bdf7f83a9a0b28b1d5a742473c8aae6649}}, w/Mem {{cite:f6c8239c998ba6855b8a1d1be0d4a2fabb23a572}},...
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3e69e259f7775e87eb6e4758ff31cf8d
With the increasing possibility of Urban Air Mobility (UAM) in the recent future, quadrotors' need to navigate through urban high-rises becomes increasingly inevitable. Monocular vision continues to be a widespread perception modality for quadrotors considering payload, portability, and endurance. Hence navigation bas...
i
111084b5d8e671d3a230cd5e4b40382f
In Table REF , we have summarized the contributions of stochastic GWs to the fluxes of flavor neutrinos at the Earth. They are at the level of a few percent. The current neutrino telescopes are able to detect up to several thousand neutrinos from SN in our Galaxy {{cite:a7600e6a70cfa9d1f2878acd4495efe3ddfbe443}}. Futur...
d
15ec623c37e2ddda2fc7a6b8c5e6bd7e
Mathematical modeling allows us to analyze various natural phenomena and find optimal solutions. Two pioneers in this area, Kuramoto {{cite:1dd17086a25d86b932739a5380279da65906832c}}, {{cite:d7622f6a9413a6b1eeb15808b23481554925bc48}} and Winfree {{cite:161fbd9cae928e05693eebf94c860eade4915180}}, catalyzed studying math...
i
4ff43974b3d1137e409b887b681e8799
Deep Convolutional Neural Networks (dcnns) have proved to be useful in highly complex computer vision tasks to identify visually distinguished features of images. The effectiveness of dcnns are also being explored in recent years in document object analysis by various research groups {{cite:71d2112241ff2db861e5d508e9fc...
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de3a3938ce7561c9647148a6d1533484
where {{formula:5784e335-6b58-4b05-a8e6-33fe800a515b}} is an inter-UAV attractive/repulsive term, {{formula:09b214ec-3e4c-49aa-b6b2-f13064b04c8c}} is a velocity consensus term, {{formula:ac71e68c-5a7a-418c-b6cc-e64ada77bb1f}} is a term defining the individual goal of each UAV. In order to create smooth incentive fun...
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1fe1e5a55ad3147745160d5ee71fbd67
The first consequence follows from the fact that the scalar field {{formula:914ec7a9-eee2-4b18-9b17-52f1aa3d02fc}} is only an {{formula:2ea9afb8-8dc1-4d02-b03e-a0601236c208}} valued for {{formula:2ede8350-3a84-4487-b95b-e152f99ab286}} . To have a global covariant topological current, the scalar field {{formula:50cc66...
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ff61019d86b239e6c203d2de2c5d5155
We additionally compare our method to Wang et al. {{cite:c9c05cf15b941b1c9193ac4ba5f5b11c2c332d74}} who proposed a recent method for multi-person pose forecasting achieving state-of-the-art results on several datasets, as well as other recent methods including HRI {{cite:dc69880c581407dade5281577bebca0c043103a5}} and L...
r
582d9face6c1d2f376269010b07882b3
To simplify notations we shall derive the spectral method in the classical Fourier-Galerkin setting introduced in {{cite:112e13a9e7afa3f60a8863cae221b59e971c7cec}}, similarly it can be extended to the representation used in {{cite:8b47718156beb3bb5f4e8c14436b48e953515833}} for the derivation of fast algorithms. Thus, w...
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28a848d071bc4856f4dc3356e3793bf1
Datasets & Metrics: We evaluate iFS-RCNN on the modified version of the COCO 2014 dataset {{cite:4f086a174d77a5deb4e2cf786f66d1824ff41a7c}} introduced by {{cite:cbd0656fe263a08de67665cd6484fa4b3b193113}} for FSIS and FSOD. Also, we are the first to evaluate iFSOD, FSIS, and iFSIS on a new split of the LVIS dataset {{ci...
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3a86bf7a73218edb3b25295967b2561a
Our method also generalize to NeRF models. We use PlenOctrees {{cite:67d031adf904fda256bcbdb1441c01b8912aaab0}} to extract the discrete volumetric representation from learned NeRF networks. For our purpose, we use the NeRF-real360 dataset which contains 2 real-world 360 scenes. Following PlenOctrees {{cite:67d031adf904...
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99aa09fb05fcae217397f7ea78254583
Solutions of (REF ) in the whole space and evolving from initial data {{formula:a5097ddb-8e04-462b-9af4-d0b31d2e1136}} become bounded instantaneously. This is captured by the famous Nash estimate {{cite:8164fd7b470995bde518fafdeb090491e58d0e38}}: {{formula:1bd49957-3f54-4fad-be05-5cb3e9d7dc12}}
d
3c68b61ff3056fd1dbbec7136619ae94
We present the numerical solutions to the BEs as shown in ıineq:BEN,eq:BEL() for the benchmark model defined by the rescaled Yukawa matrix presented in ıineq:rescaledyukawa(REF ), and for a tri-resonant singlet neutrino spectrum. In the following analysis, we restrict ourselves to heavy neutrino masses above {{formula:...
r
8d973765a15880801d04b7348a81a384
We compare with a recent bayesian continual learing method, CN-DPM {{cite:6850aec5dd1660c6e4783133618473d1d84784b8}}, for completeness of our work. We report the results in Tab REF . As shown in the table, CN-DPM performs better than MERLIN on Split-MNIST, but drastically fails on harder datasets. We note that the base...
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07d997b7d7603f52985d4891761fee18
It should be noted, however, that our findings need to be considered in context. We evaluated one particular type of CSA – a chat/text based CSA like those proposed in {{cite:da917d746ab1dca40341c163857a522e9c911b83}}, , {{cite:f339623b3c4e0a4b9aa8579cdeb47933ee69add0}} – where we employed the traditional IR evaluation...
d
f09318bb921988d1eed73743a61eafc7
First, the SIF method which had been shown to be a robust, flexible, easy to use and yet competitive state-of-the-art baseline by {{cite:a7bcdb56f24d90ed09862b3882b7440ad07055b6}}, has also been confirmed for our technical and scientific domain. Unsupervised general language word embeddings, while not optimized for the...
d
a30e1e19e665474d2a534b1314b4b079
Once the isofrequency contours of the infinitely periodic structure are obtained, these can be used to infer the behaviour of a finite laminate, given a large enough number of bilayers are taken{{cite:8be28fe0ebc5e530922bd05997c0e4f4ca9e2dcf}}. The design of the corrugation for a particular effect then rests on interpr...
m
1f4176602475bf30d9630bbe207fc661
where {{formula:8214597b-29bd-4234-a057-ebed93874b5b}} is the {{formula:00d437ac-c628-472c-821d-62c2e31e7fc7}} 'th k-quantile of {{formula:fcd9aca0-666f-4ee1-9cf9-e2666aaf9cca}} and {{formula:aab289e6-d697-482a-9ed1-bbdb79f5c15b}} As a consequence of Proposition REF , by conditioning on the estimated propensity sco...
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6198d5ccac306180912ab866e9b4226e
The presence of very young stellar populations in the environment is often interpreted as the SNe having very massive progenitors with similarly young ages (e.g. WR stars). However, it should be cautioned that the SN progenitors may actually be much older and reside just in chance alignment. Also note that star formati...
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d36c0da0988a9e8b77209b0188361115
We analyze the I{{formula:b3efc52d-0881-4fe5-b73c-16bb47146cb9}} CDM and {{formula:d8684767-e3fa-41dd-97d1-c6a716c915f7}} I{{formula:41e68b2d-76ba-482e-a8b4-1daf3b92bea0}} CDM models in contrast with their respective counterparts {{formula:58166ff4-c421-4f1b-8960-a7c19b429ad3}} CDM and {{formula:4cd6c92b-1ec7-4b60-bb88...
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232b579bc91a43a6a9202b6495e2cf88
The interpretation of data from stellar observations requires a stellar model to compare against. Traditionally, these models have been 1D global models {{cite:11167d469f65f6ee2f49c06385a488497acd72b6}} that use formulations of mixing-length theory (MLT) {{cite:77274f4e0cf0c96e93849825a45cd7f12619dbe4}}. Later models a...
i
96ed55ae8aa1c1b395c52aba09cff28b
One research line is to formulate the drug generation problem as a sequence generation problem. Most of these methods are based on the simplified molecular-input line-entry system (SMILES), a line notation describing the molecular structure using short ASCII strings {{cite:42f59a2b9bf1ce47b0a5f24d08b35e745deebaba}}.
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b51844002604ccc8dca73d6457b3d7a1
In relation to the neutron star properties and the astrophysical constraint, one of the most robust constraint is the minimum mass that a EoS must reproduce due to observational measures of massive stars via Shapiro delay. Not long ago, the neutron star king was the PSR J0348+0432, with a mass of 2.01 {{formula:0b0f711...
r
c2b06631d7960903287d69c38167dafd
The latter can be done using existing interval methods that compute interval enclosures for the united solution sets to interval linear systems, see {{cite:78dd339a0d6cecc51f0f99074636682e2a0acc37}}, {{cite:a244686589d3af403f0df2daf56aa18ca8a3f1ee}}, {{cite:f27fdcb1cf1dac137fdcd341c5076d1d0daaba5a}}, {{cite:124e2c75915...
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a96da082ac30d77a4a6296ed26eb48ae
The task of Automatic Speech Recognition (ASR) involves building systems that can transcribe spoken utterances in isolation. One major problem with building efficient ASR systems is that they are data-hungry {{cite:6a3bded89860f6779b89de5eb404a5ab2ccdda6b}} and with the introduction of deep learning to build ASR system...
i
b25a8d3f7b0ddd3649e1c60e6ab2a949
Ethical considerations. Since GST generates the visually-grounded dialogs, our proposed models have the potential to produce biased and offensive language, although arguably to a lesser extent than the open-domain dialog {{cite:e56309519f02307c1743fc7afa54e60d5b666602}}, {{cite:f2b8bb88fa98bdb24a2acc3fba583dbec5fc19c6}...
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27c6e323db110ca56936df2b93e892be
We begin by briefly summarizing the mathematical results we make use of in the paper. For a full discussion, of the Resolvent/Green's function method in RMT we urge the reader to consult one of the many excellent reviews or textbooks in the field {{cite:f7c381d9d2514365ff77812b969a0284335c9371}}, {{cite:bb31fd86afb66e3...
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fb4946bdd38bff7d4845d6873b93b875
In the same way as a number of projection methods of feature extraction (e.g. Projection Pursuit {{cite:1d5ab68e902816d7e8567ca4c2b0fa7c5f3cae27}}, Partial Least Square Regression {{cite:43a17c0ea3a44a731ba2d95ea78da6a422b806a1}}, {{cite:b8883910636576a8178f35cf9963c82b8742980b}}, Conditional Minimum Average Variance E...
i
36ad177b062b6e3142c27533f6e734d0
A variety of models have also extended beyond continuous/binary models for the mediator and outcome. These include models for zero-inflated count, survival, and ordinal data, as well as quantile regression models {{cite:acf2aa3f9c564c5e1d3cef559d0d9db02aa47d10}}, {{cite:09220b1bc6b114ef91b432cf4b14fb5f68593f56}}, {{cit...
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2661bbf8567802cf52768e6f7b543f0f
with Dirac delta initial data {{formula:47f31232-981d-4076-a432-a6dada0785be}} Here {{formula:c69f4314-de99-4447-bda2-e27a92f70896}} is the space-time white noise. The SHE itself enjoys a well-developed solution theory based on Itô integral and chaos expansion {{cite:704888af46f2de420ae2c42209579ce3b67eaa86}}, {{cit...
r
5843c698f7d425e3cd74234f437d7529
The first method given in Ref. {{cite:43d0162340092dce230ee136744fc36349eea399}} is based on semidefinite programming (SDP) {{cite:809a6b0f417c46c077a8a352fc73a087e4b5110b}}. One starts with an antisymmetric state {{formula:f3cdb6aa-55d5-48ca-9ad5-cbbeb5a7284b}} . Then the task is to find the PPT state {{formula:f3c29c...
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f5f10c87cb76624631ca4a0c4a2572ed
To close this work, let us give some comments about this project. Due to the axion, the quark potential and entanglement entropy is shifted as some holographic study in four-dimensional QCD with an axion e.g. {{cite:05a701b5da58d18be307406b0eca1600ea65e7d2}}, {{cite:d836637f10e7fcf6edbe3b9775c4d28adcc1575b}}. However o...
d
4c2531a05afaf4db2132e0a1d8a6459f
Densification of wireless network is a promising future direction to satisfy the explosive mobile data traffic demand. In response to an increasing demand for data traffic along with the use of mmWave and terahertz bands, ultra-dense network (UDN) where a large number of small cells are densely deployed on top of macro...
i
de6bb18002d48ed68151a1cc55b5f462
Recall that for arbitrary matrices {{formula:c109a386-cc5d-407f-a750-e09d2aeabc24}} and {{formula:a70e6bd6-d65d-433a-aabb-3160c58db9e9}} it holds {{formula:3e9a5b6e-854c-4f4f-b625-d6e0204a93cd}} {{cite:dc9c2dc8434443633512dc4a01a95098f9124329}}. This together with the Hölder inequality with (3/4 + 1/4 = 1) and Lemma...
r
c7c25653f5994e93eb85e23d02d7b308
More practical approaches in this regard have involved novel changes to the optimization procedure itself. These include adding a “momentum" term to the update rule {{cite:6decd7ff659ec8f6f11dbc3f4fff86afbd7e7a46}}, and “adaptive gradient" methods such as RMSProp{{cite:3ac8f9bbb2ae004e6ad87dc79457df039a24ef85}}, and Ad...
i
4486600b0a568e4f238b04b812e51c16
where {{formula:4f88236b-adfc-4709-9fc6-501fc693d549}} and {{formula:50d6e002-5ccf-4604-994c-aa44d97eb6b8}} for all {{formula:57c86e96-4050-43a7-9513-2545335cb1cb}} and {{formula:e482b8d8-d798-4b38-8a80-e8746eebddfb}} . Since under Assumption REF {{formula:cc36caa9-a8cf-447e-8fd1-c092bced36be}} is assumed to be st...
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84cbbfc7a48bfbdc3dc15b7f37290725
Moreover, our method significantly outperforms previous methods on the precision item, which attributes to the false-positive filtering strategy. In the end-to-end case, our method significantly surpasses the best-reported results {{cite:3e1153ca47216aa4f2c8cb188bfcee29112d13d2}} by 15.7% on `None' and the best of resu...
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eb684448bc7615eff8c8124c0557ed48
The goal of this work is to propose a conceptually minimal combined contrastive masked autoencoder approach, aiming to find better trade-offs between simplicity, efficiency, and performance. Consequently, we choose to omit a number of commonly used self-supervised learning design components. For instance, we do not use...
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e068b69eb21b75b22f8b87d34856591c
We have applied the LCO formalism to a new loop order for any theory and in particular a gauge theory. Our main focus has centred on QCD with {{formula:4ee86062-9e9e-48bc-be9a-986999179b49}} massless quarks. The key observation is that for Yang-Mills theory the three loop corrections to the effective gluon mass derive...
d
176ee47d5abdfe7d1ffbe487b745a5b7
Finsler geometry as a more general geometry could provide new sight on modern physics. It is of great interest for physicists to investigated the violation of Lorentz symmetry {{cite:8b4b3ec4823473b3affcf1efe50be7f5b8dec230}}. An interesting case of Lorentz violation, which was proposed by Cohen and Glashow{{cite:0a96c...
i
0d334dd1a55225d1d62b32ae93f5fc5e
Limitations and Future Work There are two potential improvements of GroupViT to explore in the future. Firstly, GroupViT's performance is lower on PASCAL Context versus PASCAL VOC. This happens due to the presence of background classes, e.g., ground and road in PASCAL Context, which are less likely to be labeled in tex...
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71fd4a229351d5a8286111a45eed93ce
We recall from Chapter I of {{cite:d5b1659709259d9fce60cc57fc908f3a078a1c6d}}, that a closed subspace {{formula:72d86b3f-07e3-4557-a8b3-5688d144b8a6}} is said to be a {{formula:012d0b89-781c-4f95-8098-3a5ce1058c99}} -ideal, if there is a linear projection {{formula:3a936e68-b4fe-4263-8885-c6d419b50b3f}} such that {{f...
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bf3ffb9c49dd605463b50e9b470c2a18
In {{cite:3168d05dc42ee11355462d4715542bc600da169e}}, the reverse perspective network is applied for object counting to solve the problem of input image scale variation. The perspective estimator can calculate the perspective parameter and the coordinate transformer can convert the images to similar size. The weight of...
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22cfe13dd0d620604880454930a64099
As far as the non-thermalization of other observables than the energy density in (REF ) is concerned, obtaining rigorous statements turns out to be rather difficult, while non-rigorous arguments are straightforward and still quite convincing: For simplicity, let us focus on observables {{formula:725a6051-97ca-4f39-8b77...
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5faa9447f6eb11aa6d4f4794b65099f9
Lemma 1 ({{cite:21ed186f0cc0f6b06da46cbd3b7f29f6b82e99b6}}, {{cite:a8f80336cdfad87b7349df07d89244bc421f6707}}, {{cite:61d7eaeb0293b577491c34c114920bebfbf670af}}, {{cite:205afe9ebeb140970394bc5643201591f9ba5ec3}}) The connection matrix {{formula:b0ff07a0-16f1-4b9f-b990-361f9be97aec}} of {{formula:4ba708d0-5c09-4180-bb...
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a9eb8f031d90525eaff1a9b66b4ea78a
The overall pipeline of the proposed model is illustrated in Figure REF . An input image is first fed into a pretrained ImageNet classifier to extract its image feature and a probability distribution {{formula:b8141ba8-01da-4da5-a32b-ed15946466a4}} over the ImageNet classes {{formula:f986faf7-c2df-4d2a-9954-4c525c3ef...
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4d3df5a93ce76e8d785dafd6be226a76
1) IRTK: One of early image registration tool for breast MRI images using voxelized mutual information similarity and free-form deformation model {{cite:340e8a20e74df1dd4da86cd4a22bd955b8f87374}} . Before starting registration IRTK apply contrast enhancement to make similarity measure insensitive to intensity change. A...
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34b982c674a4e6219a6af62a65f96a1b
Table REF presents results using pre-trained BERT features. We extracted features from the pooled output of final transformer block as these were shown to be working well for most of the tasks {{cite:cef36d9f67d4ef6db85477899b6b1d764ecc51e9}}. The features extracted from a pre-trained BERT model without any fine-tunin...
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As mentioned earlier, we perform our training with 924 seen tags and testing with 81 unseen tags for zero-shot settings. However, in conventional tagging case, all tags are considered as seen. Therefore, we use the 81 tag set in both training and testing. Note that, in all of our experiments the same test images are us...
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51661e59319a5281222b9c2297fb663a
First, general features extracted by 2D CNN in regular pixel grids with fixed receptive fields often have difficulties in handling thin structures or textureless surfaces, which limits the robustness and completeness of 3D reconstruction. Recent MVSNet-based attempts {{cite:513096d334333af58347573614bdce9ffc5c6a15}}, {...
i
f3f4ec8853d96f5d6a62446f9786a742
Results and comparison: The results in Fig. REF and Fig. REF reveal that our method creates better contrast with lower noise than CycleGAN, and that contextual information from region patches assists the formation of local information (e.g. the lizard head appears much more clearly in our result). We also provide com...
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3752f917c9202a333463b30f5f099613
In constructing the linear model of epochwise double descent, we assumed the existence of small scale (small eigenvalue) features that are largely unaffected by the presence of noise, and learn slowly compared to to larger scale (large eigenvalue) features which are noisy. Near critical parameterization, this gives ris...
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02dd1d93054e85ed07a145e5c27d7107
This work uses the global gaussian interpolation, Gaussian Process Regression (Kriging) {{cite:d0772b829d2c453c411b7ae209b257f22d1a2d20}}, support vector regression {{cite:af86f5ecbd4d0d1934bf71ee4b366a1668a998b6}}, polynominal regression {{cite:7f2b54f582c2904ce188ce6f397fb21cf983350b}}, neural networks (NN) {{cite:62...
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e9aaf6eb3e579418375901f27ad8dc05
Mesh-Based Approaches. Given a monocular or multi-view video, earlier methods reconstruct the detailed geometry and textures using parametric mesh fitting {{cite:2ced7d349f02aae7bb9dd74cd08c7abd34aa5018}}, {{cite:7a6f5786f8a90c0ae7f2ea23ccc7de89058d6864}}, {{cite:9cb2e48ed2b137df52b21bf12d02092f1cd8ea61}}, {{cite:3f149...
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From another perspective, we take OfficeHome as an example to visualize the effect of the adversarial training in Fig. REF . Specifically, we train vanilla ERM models (without prediction disagreement-based adversarial training) and ERM-based AdaODM models (with prediction disagreement-based adversarial training). Then ...
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7c36e18ecc9a509a150b8d9164c24e69
Hom-algebras and Hom-coalgebras were introduced by Makhlouf and Silvestrov in {{cite:72246016fd127845e057e261b05931cf2b6d60b4}} as generalizations of ordinary algebras and coalgebras in the following sense: the associativity of the multiplication is replaced by the Hom-associativity and similar for Hom-coassociativity....
i
80402bc66c0a39e5568208782a2612f1
the first nonlinear evolution PDE solved in 1967 by Gardner, Greene, Kruskal, and Miura {{cite:190d2f3f7f92b9275950d4a6c5cc15e10207ae97}} by the inverse scattering transform (IST). For the reader's convenience and to fix our notation we review the necessary material following {{cite:b1b9a3130a8f1a94012efc0a56c6b24ee7c5...
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859190d524dd7fe0becf374406319368
In RL, the agent is not being told new knowledge about the environment and what the correct behavior should be. The agent learns new knowledge indirectly by guidance of the environment. Moreover, this guidance is simplified into reward rather than knowledge itself. But as long as learning the limited new knowledge dire...
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where {{formula:0623123e-2ed5-42a8-bcb7-3701593ce1a8}} is the cross section for {{formula:370fd1d1-09c4-4e14-8f72-b7e502f08ef1}} annihilation, {{formula:a753f3c0-98dc-48b3-b27f-82a11f824c78}} is the flux of soft photons in the observer's frame and {{formula:46fa426a-a04d-4315-a263-b1ebef5c21a6}} is the luminosity d...
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e2bc896749cd8edc891d4a60edd7f385
Given a cosmological model, eqs. (8) and (9) can be used to predict X-ray fluxes of quasars at known redshift. We compare these predicted fluxes with observations by using the likelihood function {{cite:0edeb3e0a02ea6491cdbe34f21843bb3e75669a1}} {{formula:4b1575a6-6b90-4a42-b94b-8d467af046c7}}
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42ac5a8e80c12f6076c06d7ad60cf910
The 3th order formalism of the WKB approximation presented in the paper {{cite:ddf77040acbed24a2292b3a2ca85bb31f8cbcbb0}} has formula {{formula:132a752e-3261-4a31-9e1f-1d5fcaa6e0f1}}
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607635a773aae21f0839ce02d45e1fd4
In the search for the CP-violation in the leptonic sector, crucial information has been obtained from reactor and accelerator experiments {{cite:9e96d64eb154f343ade17269198e9839a01638d0}}, {{cite:9c6c65c9476f2ad782f00ba9574fcc3f3e14e64d}}. The discovery and measurement of the third neutrino mixing angle, {{formula:9332...
i
f4d5933543a9dbd37f04f69298b469f6
In Ref {{cite:5658cde4b1f9789529ad75d048d8633cec3e742a}}, the S-wave tetraquark states with all quark configurations are systematically studied in a non-relativistic quark model. The parameters are fitted by reproducing all S-wave and P-wave ground state mesons. The charmonium-like tetraquark states {{formula:0d09d317-...
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0acbe3e7446a80320d11c67a971ea1e9
Let us first look at some examples. Since in a complete graph every vertex subset is a general position set, A wins the {{formula:c31b39a1-2843-41cf-937b-28976d2aeef7}} -avoidance game on the complete graph {{formula:88f1e350-5bc8-4f95-a0bb-ad0d9d0b450f}} (and loses the {{formula:97bef430-c7c5-4839-8fd0-bf8f80ae2eb2}} ...
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487dd0eb148235c0052b5289bb754aa7
Sketches Generated by VASkeGAN: We allow the trained model to generate sketches after being conditioned by a sketch from a particular class. A sample of the generated images are shown in Figure REF . This confirms that the model is indeed generating meaningful sketches and not random strokes. Here too, it is very clear...
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b1955e7e76b61107332ccd25545a32ab
Next, we give an overview of our approach. For any given query point {{formula:0d03ca03-a8ac-4f11-ba76-7244fdb6eb68}} , we compute two binary trees (called visibility trees) to store the visibility polygon of {{formula:abb4182e-b815-4c60-818f-85fe608327df}} . These visibility tree data structures in our algorithm are a...
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900c98f8b7c1ef0d922c52c520ab6f9d
Auxiliary variable approach. The proposed schemes are based on a reformulation of the time fractional Allen-Cahn equation by introducing an auxiliary variable — an approach intensively studied recently for gradient flows; see, e.g., {{cite:a665ced9d4dd6a4910704e0dbf5060e5dc1a27e2}}, {{cite:a3261249344703d7074860ea8c6e5...
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c75c9e402f23a9d5f23b7d33b172f77a
where {{formula:e57589ff-b27f-4261-b0ad-a120f770cb71}} is a flat measure, the standard deviation {{formula:9c1bec36-fb2f-44d6-89bb-ddf0a333db14}} sets the energy units (and was set to 1 in the numerics), and {{formula:92e74d3c-4647-4a0f-8c46-22dab6dc4f4b}} is a complex hermitian or a real symmetric matrix depending ...
r
0ca9b8a0f29309598443e80340b9d27d
We have several observations from the Monte Carlo numerical experiment. As shown in Figure REF , all methods are outperformed by the proposed identification scheme, which maximally incorporates the internal positivity side-information. Indeed, the side-information helps excluding spurious model candidates and subsequen...
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e13ba92c1f985a6adaca73feb216847d
The unpolarized and polarized non–singlet and singlet anomalous dimensions have been calculated at one– {{cite:e89665dc21df55ca3d359956d08b9fc772426ee3}}, two– {{cite:25d69d42f32fc71b1975768945c9ad55f5ab5855}}, {{cite:d3a59ab683ea2dd2a0e58e2dfd64e4f9ac802f3d}}, {{cite:e02ffc019935c5fc05c23c2e8962c9ff587e0ac8}}, and thr...
i
62362e7cfe37d5fe111aaac26a55c99b
tocsectionReferences Appendix Robust Central Path The goal of this section is to analyze robust central path. We provide an outline in Section REF . In Section REF , we bound the changes in {{formula:fbf2ee60-f696-4ca1-869d-f9f71ca2e2b2}} and {{formula:fa935e72-1fbd-4788-b018-6532b0c02ebe}} . In Section REF , we an...
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6dc9397ad25227fed6dbbfc4f0433581
Use of thermal infrared (TIR) cameras have always been a popular research topic in ADAS to improve night-time driving by enhancing driver’s perception. Also, infrared cameras have the advantage that they do not sense the illumination conditions, but the thermal radiations instead. Their robustness to illumination chang...
i
c8d3cd45e8679bcc7a755999b3706d9f
In our experiment of the Poisson equation, where we can directly compare to traditional PINNs, we observe that is possible to obtain similar levels of errors, showing that our method can also be used for simple domains. Furthermore, we did not see a decrease in performance when we compared the numerically obtained eige...
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83e5ad2a3dd1d8356496cf98d7bcb178
AAS can be applied to other tasks, for example, machine translation. BLEU{{cite:ebff67931a3cd799dbd4c5427456db3ec59192cd}} score used to evaluate machine translation models incorporates an average of n-gram precision but does not consider the synonymy. Therefore, METEOR {{cite:15b20b6eb73ed18c921a0f39529dbc8b00aa31f3}}...
d
1019a1a031e56792ae09e8e92aba8be7
SAC. For single-agent game, soft actor-critic (SAC) {{cite:00f83862adc7a427bb03a456a31adefcd61d06f6}} follows the maximum entropy reinforcement learning framework, which optimises the objective {{formula:f15c9b09-2c13-4aa2-a0e8-b0de4cdeda77}} to encourage the exploration {{formula:371ca24f-1adc-40f4-8973-834a117057af}...
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6719a1d5748cbdae909e3e9405a69042
Limitations include common parameter estimation challenges when the number of model parameters and/or variables increases relative to the variables or quantities of interest for which data is available, as well as the lack of known nominal values for some model parameters in large pulmonary arteries. One challenge is n...
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7a7616838b5373e38f3f6ffc3a8d656b
Note that the DC conductivity characterises static low frequency fluctuations of the system. Recently, the butterfly velocity {{cite:baf1d004e22742b4c294f4e3986db40e610ed75a}}, {{cite:ca84f8934d508ba514ffc9b69b7555ec7d7319ef}}, that shows how fast fluctuations propagate in the plasma, has been studied in holographic an...
d
97bf69f9651537a28a19038cfd1aa601
Modern successes of deep reinforcement learning (RL) have shown promising results for control problems {{cite:d50e503a0a8c3be21445f8d0d9fee40400679a1f}}, {{cite:87d9e1b49f62833b353282120e1afd2907f3170d}}, {{cite:6915c0b59ca8ed3371b5fc2e7b22a6f98ee5f14f}}. However, training an agent for each task individually requires a...
i
19a6f11bac8985e2a2fab525c7f768c6
The aim of this paper is not to propose a new architecture with high image segmentation performance, but to investigate how different augmentation techniques affect the network's learning. Our results show that data augmentation significantly improves the performance on the validation data in many cases compared to onl...
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97bfeb7c57904a409eef0447be01fb45
The second step consists in looking for the extremal normalized sums of uncertainties with respect to the involved parameters {{formula:6987412e-f788-47a4-8356-fc9d31627710}} . We start with the necessary conditions of separability (REF ). Although not exploited analytically for {{formula:508add4d-4e68-4c17-933b-832073...
d
8bdd9659db6dfd5b4186a1f114f7654b
ENet is the following regularized least squares model {{cite:2e20db6405ca9e6b798a9bf2353d168be1ae3b9e}}: {{formula:9c42482a-dbfd-4274-85eb-7c049ab65288}}
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0313ebce7501438e22c458ca3801dc2e
A basic task is the transportation of quantum states from one location to another. Ideally one wishes to have perfect state transfer (PST) whereby a quantum state at an initial position is found with probability 1 at the final destination. While there has been seminal work on optical Bloch oscillations in waveguide arr...
i
3a2c992da059aefa99a4bf4c57a686d7
The most accurate current denoisers are trained on a representative dataset consisting of noisy images and their clean counterparts. The earliest method to do this with a neural network was {{cite:25b9290bc21eb020a3be3f8a5d4a8e46b2e04c7c}}. This was heavily refined in both the works of Mao et al. {{cite:e8fc6e4bf348a0f...
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f87de6c1c3f0f90546de64c9b0085e53
A comparison between the abundances of ethanol and “warm" glycolaldehyde relative to that of {{formula:fa1a0cb4-601c-4a8b-8c29-1e53d674fb5c}} for each position is shown in Figure REF . We found that {{formula:1c004167-1140-4428-891c-dba54c56b10e}} , with a correlation coefficient of 0.96. This result agrees well with ...
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53f3adf967d06924fd4fc9ce5e01475b
In recent years, deep learning based approaches have burgeoned in the field of medical image registration {{cite:22488ff81589bc6f6f5921bb5a135031c8df4fe1}}. Their success has been largely driven by their exceptionally fast inference speeds. The most effective methods, such as VoxelMorph {{cite:f2b395a49d049c30df1ba4b50...
i
84a35b5d62c74369fb25dac083af6334
There are many stories surrounding the origin of the Chicken McNugget theorem. However, the most popular by far remains that of the Chicken McNugget. Originally, McDonald's sold its nuggets in packs of 9 and 20. Thus, to find the largest number of nuggets that could not have been bought with these packs creates the Chi...
i
65cb2a5bb48386c6a2a470894e5ae4f8
Considering how the presence of confinement affects the conformational dynamics of a chain{{cite:2ff6c4e378f75ea4decf9612eb79a017bf330796}}, {{cite:fc7b7b0a1db4d17db37cb3f25966b9e1efc31474}}, {{cite:04693fecbfdd6b3c3ed1bb090caa2d58571861a3}}, its outright indispensable to look at the influence of the geometric constrai...
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97b8ef444f3cacfc80fabca3e6f2484f
Note that for SDE, {{formula:7a612ec3-4b11-41a6-acca-ed818aa177e0}} comes from two discrete approximations with different timesteps but the same Brownian path. To generate random samples {{formula:134eabd1-a276-4b65-b414-0a3c7091dc21}} , one method suggested in {{cite:b17d77b9e238eb083d44bed2956bfc49d2a951c3}} is as f...
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de2df3adfab7bb52d830b75f918d1b57