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path - integral molecular dynamics ( pimd ) simulations are crucial for accurately capturing nuclear quantum effects in materials. however, their computational intensity and reliance on multiple software packages often limit their applicability at large scales. here, we present an integration of pimd methods, including...
arxiv:2409.04430
the usual stochastic order and the likelihood ratio order between probability distributions on the real line are reviewed in full generality. in addition, for the distribution of a random pair $ ( x, y ) $, it is shown that the conditional distributions of $ y $, given $ x = x $, are increasing in $ x $ with respect to...
arxiv:2209.07868
systematic constructions of mds self - dual codes is widely concerned. in this paper, we consider the constructions of mds euclidean self - dual codes from short length. indeed, the exact constructions of mds euclidean self - dual codes from short length ( $ n = 3, 4, 5, 6 $ ) are given. in general, we construct more n...
arxiv:1910.02255
electron dynamics in metallic clusters are examined using a time - dependent density functional theory that in - cludes a " memory term ", i. e. attempts to describe temporal non - local correlations. using the iwamoto, gross and kohn exchange - correlation ( xc ) kernel we construct a translationally invariant memory ...
arxiv:cond-mat/0510549
we study cosmological structure formation with ultralight axion dark matter, or " fuzzy dark matter ( fdm ), using a particle - mesh scheme to account for the quantum pressure arising in the madelung formulation of the schr \ " odinger - poisson equations. subpercent - level energy conservation and correct linear behav...
arxiv:1608.00802
a chemical nanomachining process for the rapid, scalable production of nanostructure assemblies from silicon - on - insulator is demonstrated. the process is based on the spontaneous, local oxidation of si induced by au, which is selectively evaporated onto the si surface. the au - catalyzed oxide forms a pattern that ...
arxiv:0707.3307
let $ \ mu $ be a borelian probability measure on $ \ mathbf { g } : = \ mathrm { sl } _ d ( \ mathbb { z } ) \ ltimes \ mathbb { t } ^ d $. define, for $ x \ in \ mathbb { t } ^ d $, a random walk starting at $ x $ denoting for $ n \ in \ mathbb { n } $, \ [ \ left \ { \ begin { array } { rcl } x _ 0 & = & x \ \ x _ {...
arxiv:1702.08387
we study the problem of testing conductance in the setting of distributed computing and give a two - sided tester that takes $ \ mathcal { o } ( \ log ( n ) / ( \ epsilon \ phi ^ 2 ) ) $ rounds to decide if a graph has conductance at least $ \ phi $ or is $ \ epsilon $ - far from having conductance at least $ \ phi ^ 2...
arxiv:1705.08174
we construct the general static solution to the supergravity action containing gravity, the dilaton and a set of antisymmetric forms describing the intersecting branes delocalized in the relative transverse dimensions. the solution is obtained by reducing the system to a set of separate liouville equations ( the inters...
arxiv:hep-th/0506216
the partition of society into groups, polarization, and social networks are part of most conversations today. how do they influence price competition? we discuss bertrand duopoly equilibria with demand subject to network effects. contrary to models where network effects depend on one aggregate variable ( demand for eac...
arxiv:2110.05891
existing learning - based cortical surface reconstruction approaches heavily rely on the supervision of pseudo ground truth ( pgt ) cortical surfaces for training. such pgt surfaces are generated by traditional neuroimage processing pipelines, which are time consuming and difficult to generalize well to low - resolutio...
arxiv:2406.12650
in many scenarios where cameras are applied, such as robot positioning and unmanned driving, camera calibration is one of the most important pre - work. the interactive calibration method based on the plane board is becoming popular in camera calibration field due to its repeatability and operation advantages. however,...
arxiv:2009.05983
we propose a novel idea for depth estimation from multi - view image - pose pairs, where the model has capability to leverage information from previous latent - space encodings of the scene. this model uses pairs of images and poses, which are passed through an encoder - - decoder model for disparity estimation. the no...
arxiv:1904.06397
this paper is concerned with the reduction of a unitary matrix u to cmv - like shape. a lanczos - - type algorithm is presented which carries out the reduction by computing the block tridiagonal form of the hermitian part of u, i. e., of the matrix u + u ^ h. by elaborating on the lanczos approach we also propose an al...
arxiv:1307.2186
model - based strategies for control are critical to obtain sample efficient learning. dyna is a planning paradigm that naturally interleaves learning and planning, by simulating one - step experience to update the action - value function. this elegant planning strategy has been mostly explored in the tabular setting. ...
arxiv:1806.04624
in this paper, we develop a novel radial epiderivative - based line search methods for solving nonsmooth and nonconvex box - constrained optimization problems. the rationale for employing the concept of radial epiderivatives is that they provide necessary and sufficient conditions for both identifying global descent di...
arxiv:2504.05090
we investigate the entropy bound for local quantum field theory in this paper. both the bosonic and fermionic fields confined to an asymptotically flat spacetime are examined. by imposing the non - gravitational collapse condition, we find both of them are limited by the same entropy bound $ a ^ { 3 / 4 } $, where $ a ...
arxiv:0705.1414
a local classification of the hermitian manifolds with flat associated connection is given. hermitian manifolds admitting locally a conformal metric with flat associated connection are characterized by a curvature identity. locally conformal kaehler manifolds as well as hermitian surfaces with vanishing associated conf...
arxiv:1108.5336
we study the dependence of the pion - pion scattering phase shifts on the light quark mass in both standard and unitarized su ( 2 ) chiral perturbation theory ( chpt ) to one and two loops. we then use unitarized su ( 3 ) chpt to study the elastic f _ 0 ( 600 ), kappa ( 800 ), rho ( 770 ) and k * ( 892 ) resonances. th...
arxiv:1010.3982
this letter investigates the design of a class of infinite - dimensional observers for one dimensional ( 1d ) boundary controlled port - hamiltonian systems ( bc - phs ) defined by differential operators of order $ n \ geq 1 $. the convergence of the proposed observer depends on the number and location of available bou...
arxiv:2305.10072
this article proposes a software defined space - air - ground integrated network architecture for supporting diverse vehicular services in a seamless, efficient, and cost - effective manner. firstly, the motivations and challenges for integration of space - air - ground networks are reviewed. secondly, a software defin...
arxiv:1703.02664
we analyze hypotheses tests using classical results on large deviations to compare two models, each one described by a different h \ " older gibbs probability measure. one main difference to the classical hypothesis tests in decision theory is that here the two measures are singular with respect to each other. among ot...
arxiv:2101.08227
we present a model to generate power spectrum noise with intensity proportional to 1 / f as a function of frequency f. the model arises from a broken - symmetry variable which corresponds to absolute pitch, where fluctuations occur in an attempt to restore that symmetry, influenced by interactions in the creation of mu...
arxiv:1705.08888
single - port ferroelectric fet ( fefet ) that performs write and read operations on the same electrical gate prevents its wide application in tunable analog electronics and suffers from read disturb, especially to the high - threshold voltage ( vth ) state as the retention energy barrier is reduced by the applied read...
arxiv:2305.01484
this paper investigates the problem of image classification with limited or no annotations, but abundant unlabeled data. the setting exists in many tasks such as semi - supervised image classification, image clustering, and image retrieval. unlike previous methods, which develop or learn sophisticated regularizers for ...
arxiv:1602.00955
a classical approach based on hyperspherical coordinates is used to derive a first principle formulation of the the ion - neutral - neutral three - body recombination rate, a $ ^ + $ + a + a $ \ rightarrow $ $ \ text { a } _ 2 ^ + $ + a, in terms of the mass of the atom and its polarizability. the robustness and predic...
arxiv:1810.02108
the theory of khinchin families connects probability theory and complex analysis. along this phd thesis, we exploit this connection to obtain, using a variety of local central limit theorems, asymptotic formulas for the coefficients of analytic functions with non - negative coefficients. we give criteria for a power se...
arxiv:2503.14157
in the search for life on other planets, the presence of photosynthetic vegetation may be detectable from the colors of light it reflects. on the modern earth, this spectral reflectance is characterized by an increase in reflectance between the red and near - infrared wavelengths, a " red edge ". on planets orbiting di...
arxiv:2107.04120
transformer, first applied to the field of natural language processing, is a type of deep neural network mainly based on the self - attention mechanism. thanks to its strong representation capabilities, researchers are looking at ways to apply transformer to computer vision tasks. in a variety of visual benchmarks, tra...
arxiv:2012.12556
a subset of vertices $ s $ of a graph $ g $ is a dominating set if every vertex in $ v \ setminus s $ has at least one neighbor in $ s $. a domatic partition is a partition of the vertices of a graph $ g $ into disjoint dominating sets. the domatic number $ d ( g ) $ is the maximum size of a domatic partition. suppose ...
arxiv:2407.00103
this paper introduces graph - based mutually exciting processes ( gb - mep ) to model event times in network point processes, focusing on an application to docked bike - sharing systems. gb - mep incorporates known relationships between nodes in a graph within the intensity function of a node - based multivariate hawke...
arxiv:2311.00595
spiral galaxies are surrounded by a widely distributed hot coronal gas and seem to be fed by infalling clouds of neutral hydrogen gas with low metallicity and high velocities. we numerically study plasma waves produced by the collisions of these high - velocity clouds ( hvcs ) with the hot halo gas and with the gaseous...
arxiv:1103.1114
we investigate the spectro - photometric variability of quasars due to lensing of small mass substructure ( from several tens to several hundreds solar masses ). the aim of this paper is to explore the milli / microlensing influence on the flux anomaly observed between images of a lensed quasar in different spectral ba...
arxiv:1303.6899
panoptic part segmentation ( pps ) aims to unify panoptic segmentation and part segmentation into one task. previous work mainly utilizes separated approaches to handle thing, stuff, and part predictions individually without performing any shared computation and task association. in this work, we aim to unify these tas...
arxiv:2204.04655
the development of wide - area cryogenic light detectors with good energy resolution is one of the priorities of next generation bolometric experiments searching for rare interactions, as the simultaneous read - out of the light and heat signals enables background suppression through particle identification. among the ...
arxiv:1606.04565
we analyze m theory fivebrane in order to study the moduli space of vacua of n = 1 supersymmetric $ sp ( n _ c ) $ gauge theories with $ n _ f $ flavors in four dimensions. we show how the n = 2 higgs branch can be encoded in m theory by studying the orientifold which plays a crucial role in our work. when all the quar...
arxiv:hep-th/9708127
in this paper we study and extend the mechanistic mean field theory of growth of cellular populations proposed by mombach et al in ( mombach j. c. m. et al., europhysics letter, 59 ( 2002 ) 923 ) ( mlbi model ), and we demonstrate that the original model and our generalizations lead to inferences of biological interest...
arxiv:1309.3329
we report constraints on primordial non - gaussianity from the abundance of x - ray detected clusters. our analytic prescription for adding non - gaussianity to the cluster mass function takes into account moments beyond the skewness, and we demonstrate that those moments should not be ignored in most analyses of clust...
arxiv:1304.1216
deep learning - based video salient object detection has recently achieved great success with its performance significantly outperforming any other unsupervised methods. however, existing data - driven approaches heavily rely on a large quantity of pixel - wise annotated video frames to deliver such promising results. ...
arxiv:1908.04051
nuclear inflows of metal - poor interstellar gas triggered by galaxy interactions can account for the systematically lower central oxygen abundances observed in local interacting galaxies. here, we investigate the metallicity evolution of a large set of simulations of colliding galaxies. our models include cooling, sta...
arxiv:1107.0001
transformation induced plasticity ( trip ) behavior was studied in steel with composition fe - 0. 07c - 2. 85si - 15. 3mn - 2. 4al - 0. 017n that exhibited two trip mechanisms. the initial microstructure consisted of both { \ epsilon } - and { \ alpha } - martensites with 27 % retained austenite. trip behavior in the f...
arxiv:1209.3410
we make systematic measurements of raman anti - stokes / stokes ( as / s ) ratios using two different laser excitations ( 514 and 633 nm ) of rhodamine 6g ( rh6g ) on dried ag colloids over a wide range of temperatures ( 100 to 350 k ). we show that a temperature scan allows the separation of the contributions to the a...
arxiv:physics/0511074
we introduce a new syntax - aware model for dependency - based semantic role labeling that outperforms syntax - agnostic models for english and spanish. we use a bilstm to tag the text with supertags extracted from dependency parses, and we feed these supertags, along with words and parts of speech, into a deep highway...
arxiv:1903.05260
gamma ray bursts are among the most powerful astrophysical sources and they release up to 1. e54 erg, if isotropic, in less than few hundred seconds. their detection in the hard x / gamma ray band ( at energies > 10 kev ) and out to very high redshift ( z ~ 6. 3 ) makes them a powerful new cosmological tool ( a ) to st...
arxiv:astro-ph/0602498
influence of doping by iron impurity on spin - peierls state in cugeo3 is studied. esr measurements for the frequency / temperature domain 60 - 450 ghz / 1. 8 - 300 k and specific heat data obtained for the interval 6 - 20 k show that insertion of 1 % of fe completely destroy both spin - peierls and antiferromagnetic o...
arxiv:cond-mat/0110177
previously we discussed how well students in an introductory physics course diagnosed their mistakes on a quiz problem with different levels of scaffolding support. in that case, the problem they self - diagnosed was unusually difficult. we also discussed issues related to transfer, particularly the fact that the trans...
arxiv:1603.06048
we consider constrained hamiltonian systems in the framework of dirac ' s theory. we show that the jacobi identity results from imposing that the constraints are casimir invariants, regardless of the fact that the matrix of poisson brackets between constraints is invertible or not. we point out that the proof we provid...
arxiv:1303.1989
this paper develops a comprehensive probabilistic setup to compute approximating functions in active subspaces. constantine et al. proposed the active subspace method in ( constantine et al., 2014 ) to reduce the dimension of computational problems. it can be seen as an attempt to approximate a high - dimensional funct...
arxiv:1809.06581
we propose to use nanoantennas coupled to incoherently pumped quantum dots for ultra - bright single photon emission. besides fully quantum calculations, we analyze an analytical expression for the emitted photon rate. from these analytical considerations it turns out that the purcell factor and the pumping rate are th...
arxiv:1311.2493
in this work we address the re - entrance of magic - angle phenomena ( band flatness and quantum - geometric transport ) in twisted bilayer graphene ( tbg ) subjected to strong magnetic fluxes $ \ pm \ phi _ 0 $, $ \ pm 2 \ phi _ 0 $, $ \ pm 3 \ phi _ 0 $... ( $ \ phi _ 0 = h / e $ is the flux quantum per moir \ ' e ce...
arxiv:2201.13062
in the present note we prove a conjecture of demailly for finite sets of sufficiently many very general points in projective spaces. this gives a lower bound on waldschmidt constants of such sets. waldschmidt constants are asymptotic invariants of subschemes receiving recently considerable amount of attention.
arxiv:1701.04848
this paper considers a class of reinforcement - based learning ( namely, perturbed learning automata ) and provides a stochastic - stability analysis in repeatedly - played, positive - utility, finite strategic - form games. prior work in this class of learning dynamics primarily analyzes asymptotic convergence through...
arxiv:1709.05859
we discuss a new class of expansions in perturbative qcd, based on the technique of conformal mappings of the borel plane, and apply them for the determination of $ \ alpha _ s $ from the hadronic decays of the $ \ tau $ lepton. using the expansion up to fifth order in the $ \ bar { \ rm ms } $ scheme, the method leads...
arxiv:1011.6480
ai and deep learning techniques are beginning to play an increasing role in astronomy as a necessary tool to deal with the data avalanche. here we describe an application for finding resolved planetary nebulae ( pne ) in crowded, wide - field, narrow - band h - alpha survey imagery in the galactic plane. pne are import...
arxiv:2311.02607
we develop a theory of asymptotic efficiency in regular parametric models when data confidentiality is ensured by local differential privacy ( ldp ). even though efficient parameter estimation is a classical and well - studied problem in mathematical statistics, it leads to several non - trivial obstacles that need to ...
arxiv:2301.10600
although machine learning models typically experience a drop in performance on out - of - distribution data, accuracies on in - versus out - of - distribution data are widely observed to follow a single linear trend when evaluated across a testbed of models. models that are more accurate on the out - of - distribution ...
arxiv:2106.15831
in this paper, we are concerned with the computations of the $ p $ - rank of curves in two different setups. we first work with complete intersection varieties in $ \ mb { p } ^ n \ text { for } ~ n \ ge 2 $ and compute explicitly the action of frobenius on the top cohomology group. in case of curves and surfaces, this...
arxiv:2001.03310
results : we report the detection of broad hco + ( 1 - 0 ) lines ( 10 mk < t < 0. 5 k ). the interpretation of 10 of the hco + velocity components is conducted in conjunction with that of the associated optically thin 13co emission. the derived hco + column densities span a broad range, $ 10 ^ { 11 } < n ( hco + ) / \ ...
arxiv:astro-ph/0601607
over the past decade, reflection matrix microscopy ( rmm ) and advanced image reconstruction algorithms have emerged to address the fundamental imaging depth limitations of optical microscopy in thick biological tissues and complex media. in this study, we introduce significant advancements in reflection matrix process...
arxiv:2407.02321
a system of partial differential equations for a diffusion interface model is considered for the stationary motion of two macroscopically immiscible, viscous newtonian fluids in a three - dimensional bounded domain. the governing equations consist of the stationary navier - stokes equations for compressible fluids and ...
arxiv:2007.12883
markov chain monte carlo ( mcmc ) algorithms have long been the main workhorses of bayesian inference. among them, hamiltonian monte carlo ( hmc ) has recently become very popular due to its efficiency resulting from effective use of the gradients of the target distribution. in privacy - preserving machine learning, di...
arxiv:2106.09376
in this paper, we study the support recovery guarantees of underdetermined sparse regression using the $ \ ell _ 1 $ - norm as a regularizer and a non - smooth loss function for data fidelity. more precisely, we focus in detail on the cases of $ \ ell _ 1 $ and $ \ ell _ \ infty $ losses, and contrast them with the usu...
arxiv:1611.01030
numerical simulations are performed on the collective dynamics of active disks, whose self - propulsion speed ( $ u $ ) varies in time, and whose orientation evolves according to rotational brownian motion. two protocols for the evolution of speed are considered : ( i ) a deterministic one involving a periodic change i...
arxiv:2305.14340
there is a significant gap between patient needs and available mental health support today. in this paper, we aim to thoroughly examine the potential of using large language models ( llms ) to assist professional psychotherapy. to this end, we propose a new benchmark, cbt - bench, for the systematic evaluation of cogni...
arxiv:2410.13218
supernova 1987a, the first naked - eye supernova observed since kepler ' s supernova in 1604, defies a number of theoretical expectations. its anomalies have long been attributed to a merger between two massive stars that occurred some 20, 000 years before the explosion, but so far there has been no conclusive proof th...
arxiv:astro-ph/0703317
we present a new algorithm for community detection. the algorithm uses random walks to embed the graph in a space of measures, after which a modification of $ k $ - means in that space is applied. the algorithm is therefore fast and easily parallelizable. we evaluate the algorithm on standard random graph benchmarks, i...
arxiv:1504.06796
the amplitude and probability of quantum transitions are represented as a path integrals in energy state space of the investigated multi - level quantum system. using this approach we consider rotational dynamics of nitrogen molecules $ ^ { 14 } n _ { 2 } $ and $ ^ { 15 } n _ { 2 } $ which interact with a sequence of u...
arxiv:1407.3893
the ability to tune the competition between the in - plane and out - of - plane orientation of magnetization provides a means to construct thermal sensors with a sharp spin re - orientation transition at specific temperatures. we have observed such a tuneable, temperature driven spin re - orientation in structurally am...
arxiv:2007.03657
this study presents the simulation, experimentation, and design considerations of a poly ( vinylidene fluoride co - trifluoroethylene ) / polyethylene terephthalate ( pvdf - trfe / pet ), laser - cut, flexible piezoelectric energy harvester. it is possible to obtain energy from the environment around autonomous sensor ...
arxiv:2210.10540
we exactly calculate the particle number $ n $ of scalar fields which are created from an initial vacuum in certain higher - dimensional cosmological models. the spacetimes in these models are the four - dimensional chitre - hartle or radiation - dominated universe with extra spaces which are static or power - law cont...
arxiv:gr-qc/0308086
software product lines ( spl ) are a method for the development of variant - rich software systems. compared to non - variable systems, testing spls is extensive due to an increasingly amount of possible products. different approaches exist for testing spls, but there is less research for assessing the quality of these...
arxiv:1504.02443
in this paper, a novel covariance - based channel feedback mechanism is investigated for frequency division duplexing ( fdd ) massive multi - input multi - output ( mimo ) systems. the concept capitalizes on the notion of user statistical separability which was hinted in several prior works in the massive antenna regim...
arxiv:1902.05184
in this paper we propose a new passivity - based control technique for dc power networks comprising the so - called zip - loads, i. e., nonlinear loads with the parallel combination of unknown constant impedance ( z ), current ( i ) and power ( p ) components. more precisely, we propose a novel passifying input and a s...
arxiv:1907.09973
it has been suggested that superheavy charged particles might have been born in primordial bound pairs at the end of cosmic inflation. such pairs have been proposed as a source of ultra - high energy cosmic rays ( uhecr ). we show that primordial bound pairs of magnetic monopoles larger than $ 10 ^ { - 9 } $ cm quickly...
arxiv:1306.1435
the analysis of network assortativity is of great importance for understanding the structural characteristics of and dynamics upon networks. often, network assortativity is quantified using the assortativity coefficient that is defined based on the pearson correlation coefficient between vertex degrees. it is well know...
arxiv:2505.03639
we present a systematic search for short - duration gamma - ray bursts ( grbs ) in the local universe based on 14 years of observations with the neil gehrels swift observatory. we cross - correlate the grb positions with the glade catalogue of nearby galaxies, and find no event at a distance $ \ lesssim $ 100 mpc and f...
arxiv:1912.08698
we focus on the maximization of the exact ergodic capacity ( ec ) of a point - to - point multiple - input multiple - output ( mimo ) system assisted by an intelligent reflecting surface ( irs ). in addition, we account for the effects of correlated rayleigh fading and the intertwinement between the amplitude and the p...
arxiv:2112.02311
security - enhanced linux ( selinux ) is a robust security mechanism that enforces mandatory access controls ( mac ), but its policy language ' s complexity creates challenges for policy analysis and management. this research investigates the automation of selinux policy analysis using graph - based techniques combined...
arxiv:2501.00085
solution of free particle quantum master equation with spatial decoherence can be unravelled into stochastic quantum trajectories in many ways. the first example, published in 1985, proposed a piecewise deterministic jump process for the wave function. while alternative unravellings, diffusive ones in particular, prove...
arxiv:1705.05032
computing devices and associated software govern everyday life, and form the backbone of safety critical systems in banking, healthcare, automotive and other fields. increasing system complexity, quickly evolving technologies and paradigm shifts have kept software quality research at the forefront. standards such as is...
arxiv:2009.01557
with the headway of the advanced image handling software and altering tools, a computerized picture can be effectively controlled. the identification of image manipulation is vital in light of the fact that an image can be utilized as legitimate confirmation, in crime scene investigation, and in numerous different fiel...
arxiv:1703.09968
we review recent efforts to detect small numbers of nuclear spins using magnetic resonance force microscopy. magnetic resonance force microscopy ( mrfm ) is a scanning probe technique that relies on the mechanical measurement of the weak magnetic force between a microscopic magnet and the magnetic moments in a sample. ...
arxiv:1006.3736
of technology ". in 2006, mit retaliated by posing as contractors and stealing the 1. 7 - ton, 130 - year - old fleming cannon, a caltech landmark. the cannon was relocated to cambridge, where it was displayed in front of the green building during the 2006 campus preview weekend. in september 2010, mit students unsucce...
https://en.wikipedia.org/wiki/Massachusetts_Institute_of_Technology
analysis of the strain - induced pseudomagnetic fields ( pmfs ) generated in graphene nanobulges under three different substrate scenarios shows that, in addition to the shape, the graphene - substrate interaction can crucially determine the overall distribution and magnitude of strain and those fields, in and outside ...
arxiv:1406.1092
this paper develops an algorithm for upper - and lower - bounding the value function for a class of linear time - varying games subject to convex control sets. in particular, a two - player zero - sum differential game is considered where the respective players aim to minimise and maximise a convex terminal state cost....
arxiv:2503.08310
we use data from the desi legacy survey imaging to probe the galaxy density field in tomographic slices covering the redshift range $ 0 < z < 0. 8 $. after careful consideration of completeness corrections and galactic cuts, we obtain a sample of $ 4. 9 \ times 10 ^ 7 $ galaxies covering 17 739 deg $ ^ 2 $. we derive p...
arxiv:2010.00466
in this paper we study the task of a single - view image - guided point cloud completion. existing methods have got promising results by fusing the information of image into point cloud explicitly or implicitly. however, given that the image has global shape information and the partial point cloud has rich local detail...
arxiv:2406.17319
in this paper, we derive the first order approximate symmetries for the harry dym equation by the method of approximate transformation groups proposed by baikov, gaszizov and ibragimov. moreover, we investigate the structure of the lie algebra of symmetries of the perturbed harry dym equation. we compute the one - dime...
arxiv:1405.3208
we consider a coupled nonlinear schr \ " { o } dinger equations describing an atomic bose - einstein condensates coupled to a molecular condensates through the stimulated raman adiabatic passage loaded in an external potential. the existence of dark state are investigated within the full parameter space accounts for al...
arxiv:1108.5000
we investigate theoretically the slowdown of optical pulses due to quantum - coherence effects in ingaas - based quantum dots and quantum dot molecules. simple models for the electronic structure of quantum dots and, in particular, quantum - dot molecules are described and calibrated using numerical simulations. it is ...
arxiv:1403.4790
the evolution of the temperature distribution function ( tdf ) of x - ray clusters is kn own to be a powerful cosmological test of the density parameter of the universe. recent xmm observations allows us to measure accurately the l - t relation of high redshift x - ray clusters. in order to investigate cosmological imp...
arxiv:astro-ph/0311626
we propose a novel optimization model for volumetric modulated arc therapy ( vmat ) planning that directly optimizes deliverable leaf trajectories in the treatment plan optimization problem, and eliminates the need for a separate arc - sequencing step. in this model, a 360 - degree arc is divided into a given number of...
arxiv:1306.3933
) and luke robitaille ( united states ) are the only other participants to have won four gold medals ( 2000 – 03, 2008 – 11, 2009 – 12, 2010 – 13, 2011 – 14, and 2019 – 22 respectively ) ; reiher also received a bronze medal ( 1999 ), sauermann a silver medal ( 2007 ), von burg a silver medal ( 2008 ) and a bronze meda...
https://en.wikipedia.org/wiki/International_Mathematical_Olympiad
domain generalization ( dg ) is essentially an out - of - distribution problem, aiming to generalize the knowledge learned from multiple source domains to an unseen target domain. the mainstream is to leverage statistical models to model the dependence between data and labels, intending to learn representations indepen...
arxiv:2203.14237
the main purpose of this note is to illustrate how the radius in a finite - dimensional power - associative algebra over a field $ \ mathbb { f } $, either $ \ mathbb { r } $ or $ \ mathbb { c } $, may change when the multiplication in this algebra is modified. our point of departure will be $ \ mathbb { f } ^ { n \ ti...
arxiv:1511.02732
comparing the module categories of an algebra and of the endomorphism algebra of a given support $ \ tau $ - tilting module, we give a generalization of the brenner - butler ' s tilting theorem in the framework of $ \ tau $ - tilting theory. afterwards we define $ \ tau $ - slices and prove that complete slices of tilt...
arxiv:1607.02473
the evolution of the internal granular structure in shear - arrested and shear - flowing states of granular materials is characterized using fabric tensors as descriptors of the internal contact and force networks. when a dilute system of frictional grains is subjected to a constant pressure and shear stress, the bulk ...
arxiv:1903.00599
tracking twitter for public health has shown great potential. however, most recent work has been focused on correlating twitter messages to influenza rates, a disease that exhibits a marked seasonal pattern. in the presence of sudden outbreaks, how can social media streams be used to strengthen surveillance capacity? i...
arxiv:1203.1378
we compute two vector field models of the carnot algebra with the growth vector ( 2, 3, 5, 8 ), and an infinitesimal symmetry of the corresponding sub - riemannian structure.
arxiv:1304.1035
for a spectrally negative l \ ' evy process, scale functions appear in the solution of two - sided exit problems, and in particular in relation with the laplace transform of the first time it exits a closed interval. in this paper, we consider the laplace transform of more general functionals, which can depend simultan...
arxiv:2209.15576