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learning to communicate through interaction, rather than relying on explicit supervision, is often considered a prerequisite for developing a general ai. we study a setting where two agents engage in playing a referential game and, from scratch, develop a communication protocol necessary to succeed in this game. unlike...
arxiv:1705.11192
in this study, we discuss the relationship between two families of density - power - based divergences with functional degrees of freedom - - the h \ " { o } lder divergence and the functional density power divergence ( fdpd ) - - based on their intersection and generalization. these divergence families include the den...
arxiv:2504.17008
we revisit bjorken ' s model of spontaneous breakdown of lorentz invariance. we show that the model possesses zero mass, spin zero ( scalar ) nambu - goldstone boson, in addition to the zero mass, spin one ( vector ) photon.
arxiv:hep-th/0603009
angular - energy distributions are studied for charged leptons and neutrinos from the decays of polarised top quarks. a small admixture of v + a interactions is incorporated. the polarisation dependent part of the neutrino distribution which can be measured experimentally through the missing momentum is particularly se...
arxiv:hep-ph/9403366
we investigate the casimir force between two dissimilar plane mirrors the material properties of which are described by drude or lorentz models. we calculate analytically the short and long distance asymptote of the force and relate its behavior to the influence of interacting surface plasmons. in particular we discuss...
arxiv:0810.5469
we discuss recent results on the heavy fermion superconductor cerhin $ _ 5 $ which presents ideal conditions to study the strong coupling between the suppression of antiferromagnetic order and the appearance of unconventional superconductivity. the appearance of superconductivity as function of pressure is strongly con...
arxiv:1104.3656
exact analytical calculations of eigenvalues and eigenstates are presented for quantum coupled double - well ( dw ) systems with razavy ' s hyperbolic potential. with the use of four kinds of initial wavepackets, we have calculated the tunneling period $ t $ and the orthogonality time $ \ tau $ which signifies a time i...
arxiv:1403.0543
derived from, statistical mechanics. the study of thermodynamics is fundamental to materials science. it forms the foundation to treat general phenomena in materials science and engineering, including chemical reactions, magnetism, polarizability, and elasticity. it explains fundamental tools such as phase diagrams and...
https://en.wikipedia.org/wiki/Materials_science
the crab nebula, also known as tau a, is a polarized astronomical source at millimeter wavelengths. it has been used as a stable light source for polarization angle calibration in millimeter - wave astronomy. however, it is known that its intensity and polarization vary as a function of time at a variety of wavelengths...
arxiv:2403.02096
traditional methods for solvability region analysis can only have inner approximations with inconclusive conservatism. machine learning methods have been proposed to approach the real region. in this letter, we propose a deep active learning framework for power system solvability prediction. compared with the passive l...
arxiv:2007.13250
a new class of solutions of einstein ' s equations is derived providing a physically plausible hydrodynamic description of cosmological matter in the radiation era of the universe expansion. the solutions are characterized by the ltb metric with dissipative fluid sources, subjected to the following conditions : ( i ) t...
arxiv:astro-ph/0103388
solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and bose - einstein condensates. while the peregrine breather is known to amplify a single localized perturbation of a carrier wave of finite amplitude by a factor of three, there is a counterpa...
arxiv:2011.13252
we introduce two two - player quantum pseudo - telepathy games based on two recently proposed all - versus - nothing ( avn ) proofs of bell ' s theorem [ a. cabello, phys. rev. lett. 95, 210401 ( 2005 ) ; phys. rev. a 72, 050101 ( r ) ( 2005 ) ]. these games prove that broadbent and methot ' s claim that these avn proo...
arxiv:quant-ph/0511123
the arrival of gravitational wave astronomy and a growing number of time - domain focused observatories are set to lead to a increasing number of detections of short gamma - ray bursts ( grbs ) launched with a moderate inclination to earth. being nearby events, these are also prime candidates for very long - term follo...
arxiv:2310.02328
killing spinors of space - time bps configurations play an important role in quantization of theories with the fermionic worldvolume local symmetry. we show here how it works for the gs superstring, bst supermembrane and m - 5 - brane. we show that the non - linear generalization of the ( 2, 0 ) d = 6 tensor supermulti...
arxiv:hep-th/9709202
the btz black hole belongs to a family of locally three - dimensional anti - de sitter ( ads $ _ 3 $ ) spacetimes labeled by their mass $ m $ and angular momentum $ j $. the case $ m \ ell \ geq | j | $, where $ \ ell $ is the anti - de sitter radius, provides the black hole. extending the metric to other values of of ...
arxiv:2105.06488
recognition and binding of specific sites on dna by proteins is central for many cellular functions such as transcription, replication, and recombination. in the process of recognition, a protein rapidly searches for its specific site on a long dna molecule and then strongly binds this site. here we aim to find a mecha...
arxiv:q-bio/0402005
we present a theory for carrier induced ferromagnetism in diluted magnetic semi - conductor ( dms ). our approach treats on equal footing quantum fluctuations within the rpa approximation and disorder within cpa. this method allows for the calculation of $ t _ c $, magnetization and magnon spectrum as a function of hol...
arxiv:cond-mat/0202111
discrete - modulated continuous - variable quantum key distribution protocols are promising candidates for large - scale deployment due to the large technological overlap with deployed modern optical communication devices. the security of discrete modulation schemes has previously analyzed in the ideal detector scenari...
arxiv:2006.06166
in this study, we present a non - contact respiratory anomaly detection method using incoherent light - wave signals reflected from the chest of a mechanical robot that can breathe like human beings. in comparison to existing radar and camera - based sensing systems for vitals monitoring, this technology uses only a lo...
arxiv:2311.01367
the outbreak of covid - 19 caused millions of deaths worldwide, and the number of total infections is still rising. it is necessary to identify some potentially effective drugs that can be used to prevent the development of severe symptoms or even death for those infected. fortunately, many efforts have been made, and ...
arxiv:2003.00728
machine learning classification tasks often benefit from predicting a set of possible labels with confidence scores to capture uncertainty. however, existing methods struggle with the high - dimensional nature of the data and the lack of well - calibrated probabilities from modern classification models. we propose a no...
arxiv:2407.04407
we give an explicit description of the multiplicities of codimension two strata of discriminantal arrangements introduced by manin and schechtman. as applications, we discuss the connection of these results with properties of gale transform and we calculate the fundamental groups of the complements to discriminantal ar...
arxiv:1601.06475
for every proper geodesic space $ x $ we introduce its quasi - geometric boundary $ \ partial _ { qg } x $ with the following properties : 1. every geodesic ray $ g $ in $ x $ converges to a point of the boundary $ \ partial _ { qg } x $ and for every point $ p $ in $ \ partial _ { qg } x $ there is a geodesic ray in $...
arxiv:2207.13672
in this work, a rigorous proof of the orbital stability of the black soliton solution of the quintic gross - pitaevskii equation in one spatial dimension is obtained. we first build and show explicitly black and dark soliton solutions and we prove that the corresponding ginzburg - landau energy is coercive around them ...
arxiv:2003.09994
we identified star clusters in archived hst / wfpc2 images of the merger and ultra - luminous infrared galaxy ngc 6240, with the aim of investigating whether star cluster properties ( luminosity, age and mass ) in such an extreme environment differ from those of clusters in less luminous starburst galaxies. we found 54...
arxiv:astro-ph/0306446
we present a generalization of weinstein ' s morphism defined on $ \ pi _ { 2k - 1 } ( \ textup { ham } ( m, \ omega ) ) $. we use this morphism to show that for $ n \ geq 2 $ the lie group $ su ( 2 ) $ induces an element in $ \ pi _ 3 ( \ textup { ham } ( \ mathbb { c } p ^ n, \ omega _ \ textup { fs } ) ) $ of infini...
arxiv:2312.05091
we present ipchain, a blockchain to store the allocations and delegations of ip addresses, with the aim of easing the deployment of secure interdomain routing systems. interdomain routing security is of vital importance to the internet since it prevents unwanted traffic redirections. ipchain makes use of blockchains ' ...
arxiv:1805.04439
this thesis reviews the conjectured holographic relation between entanglement and gravity due to mark van raamsdonk and collaborators. it is accounted how the linearized einstein equations both with and without matter in a d + 1 - dimensional ads background can be derived from the first law of entanglement entropy in a...
arxiv:1711.10854
we focus on the existence and uniqueness of the three - dimensional landau - lifshitz - bloch equation supplemented with the initial data in besov space $ \ dot { b } _ { 2, 1 } ^ { \ frac { 3 } { 2 } } $. utilizing a new commutator estimate, we establish the local existence and uniqueness of strong solutions for any i...
arxiv:2211.03056
the design of products and services such as a smart doorbell, demonstrating video analytics software / algorithm functionality, is expected to address a new kind of requirements such as designing a scalable solution while considering the trade - off between cost and accuracy ; a flexible architecture to deploy new ai -...
arxiv:2010.07680
we have undertaken the study of the elemental abundances and kinematic properties of a metal - poor sample of candidate thick - disk stars selected from the rave spectroscopic survey of bright stars to differentiate among the present scenarios of the formation of the thick disk. in this paper, we report on a sample of ...
arxiv:1105.3691
belief propagation is a widely used message passing method for the solution of probabilistic models on networks such as epidemic models, spin models, and bayesian graphical models, but it suffers from the serious shortcoming that it works poorly in the common case of networks that contain short loops. here we provide a...
arxiv:2009.12246
deep learning models have become a powerful tool in knee angle estimation for lower limb prostheses, owing to their adaptability across various gait phases and locomotion modes. current methods utilize multi - layer perceptrons ( mlp ), long - short term memory networks ( lstm ), and convolutional neural networks ( cnn...
arxiv:2404.06772
this paper is devoted to model selection in logistic regression. we extend the model selection principle introduced by birg \ ' e and massart ( 2001 ) to logistic regression model. this selection is done by using penalized maximum likelihood criteria. we propose in this context a completely data - driven criteria based...
arxiv:1508.07537
in this paper it is shown that the space of tight geodesic segments connecting any two vertices in a complex of cycles has finite, uniformly bounded dimension. the dimension is defined in terms of a discrete analogue of jacobi fields, which are explicitly constructed and shown to give a complete description of the enti...
arxiv:1302.0147
we study the magnetization plateau state of the three - leg spin - 1 / 2 tube in the strong rung coupling region, where s _ 3 - symmetry breakings and low - energy chirality degree of freedom play crucial roles. on the basis of the effective chirality model and density matrix renormalization group, we clarify that, as ...
arxiv:1109.0063
quantum communications technologies require a network of quantum processors connected with low loss and low noise communication channels capable of distributing entangled states. superconducting microwave qubits operating in cryogenic environments have emerged as promising candidates for quantum processor nodes. howeve...
arxiv:2310.16155
in this article, we present an approach which allows to take into account the effect of extreme values in the modeling of financial asset returns and in the valorisation of associeted options. specifically, the marginal distribution of assets returns is modeled by a mixture of two gaussiens distributions. moreover, we ...
arxiv:2105.10599
this work presents a novel method to generate secret keys shared between a legitimate node pair ( alice and bob ) to safeguard the communication between them from an unauthorized node ( eve ). to this end, we exploit the { \ it reciprocal carrier frequency offset } ( cfo ) between the legitimate node pair to extract co...
arxiv:1902.10998
recent advancements in chain - of - thought prompting have facilitated significant breakthroughs for large language models ( llms ) in complex reasoning tasks. current research enhances the reasoning performance of llms by sampling multiple reasoning chains and ensembling based on the answer frequency. however, this ap...
arxiv:2405.12939
formalisms for specifying statistical models, such as probabilistic - programming languages, typically consist of two components : a specification of a stochastic process ( the prior ), and a specification of observations that restrict the probability space to a conditional subspace ( the posterior ). use cases of such...
arxiv:1412.2221
we investigate collective excitations of density fluctuations and a dynamic density structure factor in a mixture of bose and fermi gases in a normal phase. with decreasing temperature, we find that the frequency of the collective excitation deviates from that of the hydrodynamic sound mode. even at temperature much lo...
arxiv:1807.06747
we study the time - evolution of initially trapped bose - einstein condensates in the gross - pitaevskii regime. under a physically motivated assumption on the energy of the initial data, we show that condensation is preserved by the many - body evolution and that the dynamics of the condensate wave function can be des...
arxiv:1702.05625
we prove a local limit theorem for nearest neighbours random walks in stationary random environment of conductances on z without using any of both classic assumptions of uniform ellipticity and independence on the conductances. besides the central limit theorem, we use discrete differential " nash - type inequalities "...
arxiv:1302.0225
we discuss the design and current status of the ciza survey, the first systematic x - ray search for clusters of galaxies in the galactic plane region. so far, we have compiled a sample of more than 70 x - ray selected clusters at | b | < 20 deg, 80 % of which were previously unknown. upon its completion the ciza clust...
arxiv:astro-ph/0001319
predicting drug properties is key in drug discovery to enable de - risking of assets before expensive clinical trials, and to find highly active compounds faster. interest from the machine learning community has led to the release of a variety of benchmark datasets and proposed methods. however, it remains unclear for ...
arxiv:2309.17161
we revisit the analysis of effective field theories resulting from non - supersymmetric perturbations to supersymmetric flux compactifications of the type - iib superstring with an eye towards those resulting from the backreaction of a small number of anti - d3 - branes. independently of the background, we show that th...
arxiv:1206.0754
withdrawn ; originally put in incomplete form without permission
arxiv:hep-ph/9511359
we study the problem of deleting the smallest set $ s $ of vertices ( resp. edges ) from a given graph $ g $ such that the induced subgraph ( resp. subgraph ) $ g \ setminus s $ belongs to some class $ \ mathcal { h } $. we consider the case where graphs in $ \ mathcal { h } $ have treewidth bounded by $ t $, and give ...
arxiv:1804.01366
background : medical images are more difficult to acquire and annotate than natural images, which results in data augmentation technologies often being used in medical image segmentation tasks. most data augmentation technologies used in medical segmentation were originally developed on natural images and do not take i...
arxiv:2210.09099
the xview2 competition and xbd dataset spurred significant advancements in overhead building damage detection, but the competition ' s pixel level scoring can lead to reduced solution performance in areas with tight clusters of buildings or uninformative context. we seek to advance automatic building damage assessment ...
arxiv:2212.13876
the task of preserving entanglement against noises is of crucial importance for both quantum communication and quantum information transfer. to this aim, quantum error correction ( qec ) codes may be employed to compensate, at least partially, the detriments induced by environmental noise that can be modelled as a bit ...
arxiv:2211.11295
software transactional memory implementations which allow transactions to work on inconsistent states of shared data, risk to cause application visible errors such as memory access violations or endless loops. hence, many implementations rely on repeated incremental validation of every read of the transaction to always...
arxiv:1409.5313
dissimilarity measures for ( possibly weighted ) phylogenetic trees based on the comparison of their vectors of path lengths between pairs of taxa, have been present in the systematics literature since the early seventies. but, as far as rooted phylogenetic trees goes, these vectors can only separate non - weighted bin...
arxiv:0806.2035
in this paper a new connection between the discrete conformal geometry problem of disk pattern construction and the continuous conformal geometry problem of metric uniformization is presented. in a nutshell, we discuss how to construct disk patterns by optimizing an objective function, which turns out to be intimately ...
arxiv:math/0010316
1057 globular cluster candidates have been identified in a wfpc2 image of the inner region of m87. the globular cluster luminosity function ( gclf ) can be well fit by a gaussian profile with a mean value of m _ v ^ 0 = 23. 67 + / - 0. 07 mag and sigma = 1. 39 + / - 0. 06 mag ( compared to m _ v ^ 0 = 23. 74 mag and si...
arxiv:astro-ph/9812199
two - sided platforms rely on their recommendation algorithms to help visitors successfully find a match. however, on platforms such as volunteermatch ( vm ) - - which has facilitated millions of connections between volunteers and nonprofits - - a sizable fraction of website traffic arrives directly to a nonprofit ' s ...
arxiv:2203.15037
this paper is devoted to a general min - max characterization of the eigenvalues in a gap of the essential spectrum of a self - adjoint unbounded operator. we prove an abstract theorem, then we apply it to the case of dirac operators with a coulomb - like potential. the result is optimal for the coulomb potential. an e...
arxiv:2206.06327
this thesis presents a way to apply this theorem of gabber to a large portion of voevodsky ' s work in order to lift the assumption that resolution of singularities holds. this gives unconditional versions of many of his and others ' theorems provided we work z [ 1 / p ] linearly, where p is the exponential characteris...
arxiv:1305.5349
in this paper we construct all the primitive idempotents of the restricted quantum group $ \ overline { u } _ q ( sl _ 2 ) $ and also determine the multiplication rules among a basis given by the action of generators of $ \ bar { u } _ q ( sl _ 2 ) $ to the idempotents. by using this result we construct a basis of the ...
arxiv:0807.0052
atpboost is a system for solving sets of large - theory problems by interleaving atp runs with state - of - the - art machine learning of premise selection from the proofs. unlike many previous approaches that use multi - label setting, the learning is implemented as binary classification that estimates the pairwise - ...
arxiv:1802.03375
in recent years, the development of the internet of things ( iot ) has prompted the search for na - range current references that are simultaneously constrained to a small area and robust to process, voltage and temperature variations. yet, such references have remained elusive, as existing architectures fail to reach ...
arxiv:2406.09104
plant diseases significantly impact agricultural productivity, resulting in economic losses and food insecurity. prompt and accurate detection is crucial for the efficient management and mitigation of plant diseases. this study investigates advanced techniques in plant disease detection, emphasizing the integration of ...
arxiv:2408.15289
we study the homogenized energy densities of periodic ferromagnetic ising systems. we prove that, for finite range interactions, the homogenized energy density, identifying the effective limit, is crystalline, i. e. its wulff crystal is a polytope, for which we can ( exponentially ) bound the number of vertices. this i...
arxiv:2106.08111
nearly 900 million people live in low - lying coastal zones around the world and bear the brunt of impacts from more frequent and severe hurricanes and storm surges. oceanographers simulate ocean current circulation along the coasts to develop early warning systems that save lives and prevent loss and damage to propert...
arxiv:2410.14952
the analysis of graphs has become increasingly important to a wide range of applications. graph analysis presents a number of unique challenges in the areas of ( 1 ) software complexity, ( 2 ) data complexity, ( 3 ) security, ( 4 ) mathematical complexity, ( 5 ) theoretical analysis, ( 6 ) serial performance, and ( 7 )...
arxiv:1504.01039
online platforms can be divided into information - oriented and social - oriented domains. the former refers to forums or e - commerce sites that emphasize user - item interactions, like trip. com and amazon ; whereas the latter refers to social networking services ( snss ) that have rich user - user connections, such ...
arxiv:1706.03205
a spatial curve dynamical model framework is adopted for functional prediction of counts in a spatiotemporal log - gaussian cox process model. our spatial functional estimation approach handles both wavelet - based heterogeneity analysis in time, and spectral analysis in space. specifically, model fitting is achieved b...
arxiv:2010.03827
we investigate the many - body landau - zener ( lz ) process in a two - site bose - hubbard model driven by a time - periodic field. we find that the driving field may induce sideband transitions in addition to the main lz transitions. these photon - induced sideband transitions are a signature of the photon - assisted...
arxiv:1404.3792
initial - boundary value problems for integrable nonlinear partial differential equations have become tractable in recent years due to the development of so - called unified transform techniques. the main obstruction to applying these methods in practice is that calculation of the spectral transforms of the initial and...
arxiv:1406.7797
we study the stability of band preserving operators on banach lattices. to this end the notion of $ \ varepsilon $ - band preserving mapping is introduced. it is shown that, under quite general assumptions, a $ \ varepsilon $ - band preserving operator is in fact a small perturbation of a band preserving one. however, ...
arxiv:1610.02557
in this paper, we consider the r \ ' enyi entanglement asymmetry of excited states in the 1 + 1 dimensional free compact boson conformal field theory ( cft ) at equilibrium. we obtain a universal cft expression written by correlation functions for the charged moments via the replica trick. we provide detailed analytic ...
arxiv:2310.15480
we study the compression of bundles of aligned macroscopic fibers with intrinsic shape disorder, as found in human hair and in many other natural and man - made systems. we show by a combination of experiments, numerical simulations and theory how the statistical properties of the shapes of the fibers control the colle...
arxiv:1809.10234
in 1964 erd \ h { o } s proved that $ ( 1 + \ oh { 1 } ) ) \ frac { \ eul \ ln ( 2 ) } { 4 } k ^ 2 2 ^ { k } $ edges are sufficient to build a $ k $ - graph which is not two colorable. to this day, it is not known whether there exist such $ k $ - graphs with smaller number of edges. erd \ h { o } s ' bound is consequen...
arxiv:2102.12968
immiscible fluid displacement in porous media is fundamental for many environmental processes, including infiltration of water in soils, groundwater remediation, enhanced recovery of hydrocarbons and carbon geosequestration. microstructural heterogeneity, in particular of particle sizes, can significantly impact immisc...
arxiv:1901.00835
we study the size of large - scale motions in turbulent plane couette flows at moderate reynolds number up to $ re _ \ tau $ = 500. direct numerical simulation domains were as large as $ 100 \ pi \ delta \ times2 \ delta \ times5 \ pi \ delta $, where $ \ delta $ is half the distance between the walls. the results indi...
arxiv:1706.09800
for a graph $ g $ and a hereditary property $ \ mathcal { p } $, let $ \ text { ex } ( g, \ mathcal { p } ) $ denote the maximum number of edges of a subgraph of $ g $ that belongs to $ \ mathcal { p } $. we prove that for every non - trivial hereditary property $ \ mathcal { p } $ such that $ l \ notin \ mathcal { p }...
arxiv:2405.09486
we perform a 1 - parameter family of self - adjoint extensions characterized by the parameter $ \ omega _ 0 $. this allows us to get generic boundary conditions for the quantum oscillator on $ n $ dimensional complex projective space ( $ \ mathbb { c } p ^ n $ ) and on its non - compact version i. e., lobachewski space...
arxiv:hep-th/0605153
the tango bundle t over p ^ 5 is proved to be the pull - back of the twisted cayley bundle c ( 1 ) via a map f : p ^ 5 - - > q _ 5 existing only in characteristic 2. the frobenius morphism f factorizes via such f. using f the cohomology of t is computed in terms of f ^ * ( c ), sym ^ 2 ( c ), c and the tensor product o...
arxiv:math/0111207
as modern scientific instruments generate vast amounts of data and the volume of information in the scientific literature continues to grow, machine learning ( ml ) has become an essential tool for organising, analysing, and interpreting these complex datasets. this paper explores the transformative role of ml in accel...
arxiv:2405.04161
estimating heart rate is important for monitoring users in various situations. estimates based on facial videos are increasingly being researched because it makes it possible to monitor cardiac information in a non - invasive way and because the devices are simpler, requiring only cameras that capture the user ' s face...
arxiv:2202.08913
bachmann, takeyama and tasaka introduced a $ \ mathbb { q } $ - linear map $ \ phi $, which we call the symmetrization map in this paper, on the harmonic algebra $ \ mathfrak { h } ^ 1 $. they calculated $ \ phi ( w ) $ explicitly for an element $ w $ in $ \ mathfrak { h } ^ 1 $ related to the multiple zeta values of m...
arxiv:2106.03682
ex - so - tic van der waals heterostructures take advantage of the electrically tunable layer polarization to swap proximity exchange and spin - orbit coupling in the electronically active region. perhaps the simplest example is bernal bilayer graphene ( bbg ) encapsulated by a layered magnet from one side and a strong...
arxiv:2307.16025
we solve an asymptotic problem in the geometry of numbers, where we count the number of singular $ n \ times n $ matrices where row vectors are primitive and of length at most t. without the constraint of primitivity, the problem was solved by y. katznelson. we show that as $ t \ to \ infty $, the number is asymptotic ...
arxiv:math/0305066
we give a new proof of a result of lazarev, that the dual of the circle $ s ^ 1 _ + $ in the category of spectra is equivalent to a strictly square - zero extension as an associative ring spectrum. as an application, we calculate the topological cyclic homology of $ ds ^ 1 $ and rule out a koszul - dual reformulation o...
arxiv:1610.06898
an inverse - free neural network model with mixed delays is proposed for solving the absolute value equation ( ave ) $ ax - | x | - b = 0 $, which includes an inverse - free neural network model with discrete delay as a special case. by using the lyapunov - krasovskii theory and the linear matrix inequality ( lmi ) met...
arxiv:2310.10965
we show, that in contrast to the free electron model ( standard bcs model ), a particular gap in the spectrum of multiband superconductors opens at some distance from the fermi energy, if conduction band is composed of hybridized atomic orbitals of different symmetries. this gap has composite superconducting - hybridiz...
arxiv:1701.05835
in this paper, we propose a verified numerical method for obtaining a sharp inclusion of the best constant for the embedding $ h _ { 0 } ^ { 1 } ( \ omega ) \ hookrightarrow l ^ { p } ( \ omega ) $ on bounded convex domain in $ \ mathbb { r } ^ { 2 } $. we estimate the best constant by computing the corresponding extre...
arxiv:1503.05468
we introduce nnetnav, a method for unsupervised interaction with websites that generates synthetic demonstrations for training browser agents. given any website, nnetnav produces these demonstrations by retroactively labeling action sequences from an exploration policy. most work on training browser agents has relied o...
arxiv:2410.02907
in this paper we describe a remarkable new property of the self - adjoint extension w of the prolate spheroidal operator introduced in \ cite { college98 }, \ cite { cmbook }. the restriction of this operator to the interval j whose characteristic function commutes with it is well known, has discrete positive spectrum ...
arxiv:2112.05500
kac - moody groups over finite fields are finitely generated groups. most of them can naturally be viewed as irreducible lattices in products of two closed automorphism groups of non - positively curved twinned buildings : those are the most important ( but not the only ) examples of twin building lattices. we prove th...
arxiv:math/0607664
we report on single - wall carbon nanotube ( swcnt ) specific $ ^ { 13 } $ c isotope enrichment. the high temperature annealing of isotope enriched fullerenes encapsulated in swcnts yields double - wall carbon nanotubes ( dwcnts ) with a high isotope enrichment of the inner wall. the vibrational spectra evidences that ...
arxiv:cond-mat/0406343
the linearized kerr metric is considered and put in some gauss coordinates which are further { \ em intrinsic } ones. the linear and angular 4 - momenta of this metric are calculated in these coordinates and the resulting value is just zero. thus, the global vanishing previously found for the schwarzschild metric remai...
arxiv:1405.3187
synthetic perovskites with photovoltaic properties open a new era in solar photovoltaics. due to high optical absorption perovskite - based thin - film solar cells are usually considered as fully absorbing solar radiation on condition of ideal blooming. however, is it really so? the analysis of the literature data has ...
arxiv:1601.06778
this note studies various ways of measuring the complexity of primitive solutions to the equation $ a \, + \, b \, + \, c = 0 $ and conjectures relating them. we define the insulator $ \ mathcal i ( a, b, c ) $ of a primitive solution as the smallest positive integer $ \ mathcal i $ such that the primes dividing the pr...
arxiv:1401.6439
we investigate a routing game that allows for the creation of coalitions, within the framework of cooperative game theory. specifically, we describe the cost of each coalition as its maximin value. this represents the performance that the coalition can guarantee itself, under any ( including worst ) conditions. we then...
arxiv:1310.3487
visual reinforcement learning ( rl ) has made significant progress in recent years, but the choice of visual feature extractor remains a crucial design decision. this paper compares the performance of rl algorithms that train a convolutional neural network ( cnn ) from scratch with those that utilize pre - trained visu...
arxiv:2407.17238
injection - based testing while refactoring is a pattern that minimizes the need for manual editing when altering the behaviour of a code base. neither does it rely on a compilation or a linking process nor does it make assumptions on the structure of the code. thus, it can be particularly useful for refactoring code t...
arxiv:2203.14659
we present a theory of the imprinting of the electron spin coherence and population in an n - doped semiconductor which forms a junction with a ferromagnet. the reflection of non - equilibrium semiconductor electrons at the interface provides a mechanism to manipulate the spin polarization vector. in the case of unpola...
arxiv:cond-mat/0203285