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we define catalytic networks as chemical reaction networks with an essentially catalytic reaction pathway : one which is on in the presence of certain catalysts and off in their absence. we show that examples of catalytic networks include synthetic dna molecular circuits that have been shown to perform signal amplifica... | arxiv:1006.3627 |
we reply to nathan isgur ' s critique that is directed at some of the conclusions drawn from the lattice simulation of valence qcd, regarding the valence quark model and effective chiral theories. | arxiv:hep-lat/9912049 |
matching dynamical systems, through different forms of conjugacies and equivalences, has long been a fundamental concept, and a powerful tool, in the study and classification of nonlinear dynamic behavior ( e. g. through normal forms ). in this paper we will argue that the use of the koopman operator and its spectrum i... | arxiv:1712.07144 |
pg1302 - 102 is thought to be a supermassive binary black hole ( bbh ) system according to the periodical variations of its optical and uv photometry, which may be interpreted as being due to the relativistic doppler boosting of the emission mainly from the disk around the secondary black hole ( bh ) modulated by its o... | arxiv:2010.07512 |
we introduce data structures for solving robust regression through stochastic gradient descent ( sgd ) by sampling gradients with probability proportional to their norm, i. e., importance sampling. although sgd is widely used for large scale machine learning, it is well - known for possibly experiencing slow convergenc... | arxiv:2207.07822 |
in the framework of supersymmetric grand unified theories ( susy guts ), the universe undergoes a cascade of symmetry breakings, during which topological defects can be formed. we address the question of the probability of cosmic string formation after a phase of hybrid inflation within a large number of models of susy... | arxiv:hep-ph/0603169 |
this work proposes convolutional - sparse - coded dynamic mode decomposition ( csc - dmd ) by unifying extended dynamic mode decomposition ( edmd ) and convolutional sparse coding. edmd is a data driven analysis method for describing a nonlinear dynamical system with a linear time - evolution equation. compared with ex... | arxiv:1811.07281 |
we report on coherent emission of the neutral exciton state in a single semiconductor self - assembled inas / gaas quantum dot embedded in a one - dimensional waveguide, under resonant picosecond pulsed excita - tion. direct measurements of the radiative lifetime and coherence time are performed as a function of excita... | arxiv:1304.4756 |
we developed theory of particle acceleration inside the relativistic rotating electron - positron force - free jet with spiral magnetic field. we considered perturbation of stationary magnetic field structure and found that acceleration takes place in the regions where the alfven resonant condition with the eigenmodes ... | arxiv:astro-ph/9704046 |
we focus on the task of approximating the optimal value function in deep reinforcement learning. this iterative process is comprised of solving a sequence of optimization problems where the loss function changes per iteration. the common approach to solving this sequence of problems is to employ modern variants of the ... | arxiv:2306.17833 |
automated market makers, first popularized by hanson ' s logarithmic market scoring rule ( or lmsr ) for prediction markets, have become important building blocks, called ' primitives, ' for decentralized finance. a particularly useful primitive is the ability to measure the price of an asset, a problem often known as ... | arxiv:2003.10001 |
in this paper we do a comparative presentation of the linear isotropic cosserat elastic model from two perspectives : the classical mindlin - eringen - nowacki description in terms of a microrotation vector and a new formulation in terms of a skew - symmetric matrix and a curvature energy in dislocation form. we provid... | arxiv:2206.02473 |
wasserstein distance, especially among symmetric positive - definite matrices, has broad and deep influences on development of artificial intelligence ( ai ) and other branches of computer science. a natural idea is to describe the geometry of $ spd \ left ( n \ right ) $ as a riemannian manifold endowed with the wasse... | arxiv:2012.07106 |
dedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory. we formalized these structures and several fundamental properties, including number theoretic finiteness results for class groups, in the lean prover as part of the mathlib mathematical library. thi... | arxiv:2102.02600 |
we study the tunneling current between two counterpropagating edge modes described by chiral luttinger liquids when the tunneling takes place along an extended region. we compute this current perturbatively by using a tunnel hamiltonian. our results apply to the case of a pair of different two - dimensional electron ga... | arxiv:cond-mat/0502092 |
this paper considers the equivalence problem for quasi - cyclic codes over finite fields. the results obtained are used to construct isodual quasi - cyclic codes. | arxiv:1607.07798 |
in this article we explain the buium - - coleman approach to the manin - - mumford conjecture, and outline its generalisations. as an illustration, we give a $ p $ - adic proof of a theorem of bombieri, masser and zannier on curves in tori. | arxiv:2504.10611 |
we carry out a detailed study of the role of electronic interaction on $ p $ oxygen orbitals in a mott insulator oxide ( uo $ _ 2 $ ) and a charge transfer oxide ( tio $ _ 2 $ ). first, we calculate values of effective interactions \ uff, \ upp { } and $ u _ { fp } $ in uo $ _ 2 $ and \ udd { }, \ upp { } and $ u _ { d... | arxiv:2207.14137 |
new distributions are presented which allow di - photon + jet events to be clearly separated into three classes of events based on the $ p _ { t } $ of the final state particles and their separation $ r $ = $ \ sqrt { ( \ delta y ) ^ { 2 } + ( \ delta \ phi ) ^ { 2 } } $. the analysis used can easily be extended to the... | arxiv:hep-ph/9507468 |
in the search for novel materials for vacuum electron sources, multi - alkali antimonides and in particular sodium - potassium - antimonides have been recently regarded as especially promising due to their favorable electronic and optical properties. in the framework of density - functional theory and many - body pertu... | arxiv:2104.08513 |
measurements of the magnetization under high hydrostatic pressure ( up to 10. 2 kbar ) in yba _ 2cu _ 4o _ 8 were carried out. from the scaling analysis of the magnetization data the pressure induced shifts of the transition temperature t _ c, the volume v and the anisotropy \ gamma have been obtained. it was shown tha... | arxiv:cond-mat/0502576 |
we consider the one - dimensional schr \ " odinger equation $ - f ' ' + q _ \ alpha f = ef $ on the positive half - axis with the potential $ q _ \ alpha ( r ) = ( \ alpha - 1 / 4 ) r ^ { - 2 } $. it is known that the value $ \ alpha = 0 $ plays a special role in this problem : all self - adjoint realizations of the fo... | arxiv:2001.06128 |
in this paper, we prove that every graph with average degree at least $ s + t + 2 $ has a vertex partition into two parts, such that one part has average degree at least $ s $, and the other part has average degree at least $ t $. this solves a conjecture of cs \ ' { o } ka, lo, norin, wu and yepremyan. | arxiv:2202.08123 |
some previously published expressions for the perturbation of light by gravitational waves exhibit pathological behaviour in the limit of parallel propagation. we show that this is caused by similarly pathological initial or boundary data and can thus be remedied by implementing better - behaved initial conditions. | arxiv:2112.05784 |
spectroscopic follow - up of dozens of transiting planets has revealed the degree of alignment between the equators of stars and the orbits of the planets they host. here we determine a method, applicable to spotted stars, that can reveal the same information from the photometric discovery data, with no need for follow... | arxiv:1107.2106 |
we propose a class of interleavers for a novel deep neural network ( dnn ) architecture that uses algorithmically pre - determined, structured sparsity to significantly lower memory and computational requirements, and speed up training. the interleavers guarantee clash - free memory accesses to eliminate idle operation... | arxiv:1711.06935 |
we present the first numerical calculation of the 4d euclidean spin foam vertex amplitude for vertices with hypercubic combinatorics. concretely, we compute the amplitude for coherent boundary data peaked on cuboid and frustum shapes. we present the numerical algorithms to explicitly compute the vertex amplitude and co... | arxiv:2201.09902 |
the spinorial degrees of freedom of two or more spacelike separated dirac particles are considered and a method for constructing mixed polynomials that are invariant under the spinor representations of the local proper orthochronous lorentz groups is described. the method is an extension of the method for constructing ... | arxiv:2308.00896 |
we study the physics of hard - core bosons with unfrustrated hopping ( t ) and nearest - neighbor repulsion ( v ) on the three dimensional pyrochlore lattice. at half - filling, we demonstrate that the small v / t superfluid state eventually becomes unstable at large enough v / t to an unusual insulating state which di... | arxiv:cond-mat/0702029 |
d. calaque, k. ebrahimi - fard and d. manchon have recently defined a hopf algebra by introducing a new coproduct on a commutative algebra of rooted forests. the space of primitive elements of the graded dual is endowed with a left pre - lie product defined in terms of insertion of a tree inside another. in this work w... | arxiv:0811.2153 |
cosmological probes pose an inverse problem where the measurement result is obtained through observations, and the objective is to infer values of model parameters which characterize the underlying physical system - - our universe. modern cosmological probes increasingly rely on measurements of the small - scale struct... | arxiv:1905.07410 |
the structure, formation and evolution of the universe were some of the main topics in the scientific debates during the 17th and 18th centuries in europe. they involved novel ideas on the cosmos, which concerned aspects that were not considered before so emphatically, and which were fundamental for the future developm... | arxiv:1301.7317 |
the pierre auger observatory is the world ' s largest cosmic ray observatory. our current exposure reaches nearly 40, 000 km $ ^ 2 $ str and provides us with an unprecedented quality data set. the performance and stability of the detectors and their enhancements are described. data analyses have led to a number of majo... | arxiv:1310.4620 |
we report an anomalous temperature - induced transition in thermal conductivity in germanene monolayer around a critical temperature $ t _ c = 350 \, \ text { k } $. equilibrium molecular dynamics simulations reveal a transition from $ \ kappa \ sim t ^ { - 2 } $ scaling below $ t _ c $ to $ \ kappa \ sim t ^ { - 1 / 2... | arxiv:2411.14197 |
the goal of this work is to provide a viable solution based on reinforcement learning for traffic signal control problems. although the state - of - the - art reinforcement learning approaches have yielded great success in a variety of domains, directly applying it to alleviate traffic congestion can be challenging, co... | arxiv:2005.09624 |
we propose a framework to model ferroelectric negative capacitance : electrostatic micro electro mechanical systems ( mems ) hybrid actuators and analyze their dynamic ( step input ) response. using this framework, we report the first proposal for reduction in the dynamic pull - in and pull - out voltages of the hybrid... | arxiv:1904.12808 |
the nonlocal chiral effective theory is applied to investigate the electromagnetic and strange form factors of nucleon. the bubble and tadpole diagrams are included in the calculation. with the contributions from bubble and tadpole diagrams, the obtained electromagnetic form factors are close to the results without the... | arxiv:2210.08489 |
we report results from our monitoring of the bl lac object mrk 421 in the near - ir $ j $ band. the observations, aimed at studying the intraday variability ( idv ) of the object, were carried out systematically over an extended ( and near - continuous ) period of eight nights from the 1. 2m mount abu infrared telescop... | arxiv:astro-ph/0405186 |
we show that when the qcd axion is directly coupled to quarks with $ c _ q / f \, \ partial _ \ mu a \, \ bar { q } \ gamma ^ \ mu \ gamma ^ 5 q $, such as in dfsz models, the dominant production mechanism in the early universe at temperatures $ 1 \, { \ rm gev } \ lesssim t \ lesssim 100 \, { \ rm gev } $ is obtained ... | arxiv:1801.06090 |
preterm neonates are highly likely to suffer from ventriculomegaly, a dilation of the cerebral ventricular system ( cvs ). this condition can develop into life - threatening hydrocephalus and is correlated with future neuro - developmental impairments. consequently, it must be detected and monitored by physicians. in c... | arxiv:2012.03014 |
in this paper, the spectrum and the decomposability of a multivariate rational function are studied by means of the effective noether ' s irreducibility theorem given by ruppert. with this approach, some new effective results are obtained. in particular, we show that the reduction modulo p of the spectrum of a given in... | arxiv:0906.2925 |
we present an approach to studying the casimir effects by means of the effective theory. an essential point of our approach is replacing the mirror separation into the size of space s ^ 1 in the adiabatic approximation. it is natural to identify the size of space s ^ 1 with the scale factor of the robertson - walker - ... | arxiv:hep-th/9904193 |
we introduce a new algorithm for finding stable matchings in multi - sided matching markets. our setting is motivated by a phd market of students, advisors, and co - advisors, and can be generalized to supply chain networks viewed as $ n $ - sided markets. in the three - sided phd market, students primarily care about ... | arxiv:2102.11834 |
this paper generalizes the notion of geometric curves such as hyperbolas and ellipses to more general vector spaces with an associated inner product. this is done by generalizing the definition in terms of loci and foci of said curves in euclidean geometry to a general vector space with a real inner product, through wh... | arxiv:2402.17884 |
i ' m presenting a new elegant formulation of the theory of fully nonlinear adiabatic twm ( fna - twm ) in terms of elliptic function here. note that the linear case of sfg and dfg in the undepleted pump approximation described by the fvh representation has been exploited several years ago. for the sake of completeness... | arxiv:1604.05751 |
in recent years there has been growing evidence that even after teaching designed to address the learning difficulties dictated by literature, many physics learners fail to create the proper reasoning chains that connect the fundamental principles and lead to reasoned predictions. even though students have the required... | arxiv:2402.05497 |
slow wave sleep duration and spectral abnormalities are related to both epilepsy and depression, but it is unclear how depressive symptoms in patients with epilepsy are affected by slow wave sleep duration and clinical factors, and how the spectral characteristics of slow wave sleep reflect a potential interaction of e... | arxiv:2311.01280 |
we establish a min - max estimate on the volume width of a closed riemannian manifold with nonnegative ricci curvature. more precisely, we show that every closed riemannian manifold with nonnegative ricci curvature admits a pl morse function whose level set volume is bounded in terms of the volume of the manifold. as a... | arxiv:1408.4470 |
the following report introduces ideas augmenting standard long short term memory ( lstm ) architecture with multiple memory cells per hidden unit in order to improve its generalization capabilities. it considers both deterministic and stochastic variants of memory operation. it is shown that the nondeterministic array ... | arxiv:1607.03085 |
in this paper, we investigate a scalar field brans - dicke cosmological model in lyra ' s geometry which is based on the modifications in geometrical term as well as energy term of einstein ' s field equations. we have examined the validity of proposed cosmological model on observational scale by performing statistical... | arxiv:1909.01998 |
and ] to supply the state or commonwealth with a revenue for the publick services. jean - baptiste say ( 1803 ), distinguishing the subject matter from its public - policy uses, defined it as the science of production, distribution, and consumption of wealth. on the satirical side, thomas carlyle ( 1849 ) coined " the ... | https://en.wikipedia.org/wiki/Economics |
from the study of a functional equation of gibbs measures we calculate the limiting free energy of the sherrington - kirkpatrick spin glass model at a particular value of ( low ) temperature. this implies the following lower bound for the ground state energy $ \ epsilon _ 0 $ \ [ \ epsilon _ 0 \ geq - 0. 7833 \ cdots, ... | arxiv:0806.1380 |
social networks are quickly becoming the primary medium for discussing what is happening around real - world events. the information that is generated on social platforms like twitter can produce rich data streams for immediate insights into ongoing matters and the conversations around them. to tackle the problem of ev... | arxiv:1907.11229 |
we review some current ideas about tripartite entanglement, the case representing the next level of complexity beyond the simplest one ( though far from trivial ), namely the bipartite. this kind of entanglement has an essential role in the understanding of foundations of quantum mechanics. also, it allows several appl... | arxiv:1909.00862 |
in this paper we consider the so - called toda system in planar domains under dirichlet boundary condition. we show the existence of continua of solutions for which one component is blowing up at a certain number of points. the proofs use singular perturbation methods. | arxiv:1407.8407 |
in nature, the process of cellular growth and differentiation has lead to an amazing diversity of organisms - - algae, starfish, giant sequoia, tardigrades, and orcas are all created by the same generative process. inspired by the incredible diversity of this biological generative process, we propose a generative model... | arxiv:2201.12360 |
we present a simple uv completion of atomic dark matter ( adm ) in which heavy right - handed neutrinos decay to induce both dark and lepton number densities. this model addresses several outstanding cosmological problems : the matter / anti - matter asymmetry, the dark matter abundance, the number of light degrees of ... | arxiv:1105.2073 |
in response to the gap in considering wind conditions in the bridge inspection using unmanned aerial vehicle ( uav ), this paper proposes a path planning method for uavs that takes into account the influence of wind, based on the simulated annealing algorithm. the algorithm considers the wind factors, including the inf... | arxiv:2401.10519 |
we present the final results from a targeted search for brown dwarfs with unusual near - infrared colors. from a positional cross - match of sdss, 2mass and wise, we have identified 144 candidate peculiar l and t dwarfs. spectroscopy confirms that 20 of the objects are peculiar or are candidate binaries. nine of the 42... | arxiv:1708.03688 |
we introduce a zfc method that enables us to build spaces ( in fact special dense subspaces of certain cantor cubes ) in which we have " full control " over all dense subsets. using this method we are able to construct, in zfc, for each uncountable regular cardinal $ \ lambda $ a 0 - dimensional $ t _ 2 $, hence tychon... | arxiv:math/0609090 |
text based games are simulations in which an agent interacts with the world purely through natural language. they typically consist of a number of puzzles interspersed with interactions with common everyday objects and locations. deep reinforcement learning agents can learn to solve these puzzles. however, the everyday... | arxiv:2012.02757 |
selfish network creation focuses on modeling real world networks from a game - theoretic point of view. one of the classic models by fabrikant et al. [ podc ' 03 ] is the network creation game, where agents correspond to nodes in a network which buy incident edges for the price of $ \ alpha $ per edge to minimize their... | arxiv:1710.01782 |
we explore full / partial tidal disruption events ( tdes ) of stars / planets by stellar compact objects ( black holes ; bhs ; or neutron stars ; nss ), which we term micro - tdes. disruption of a star / planet with mass $ m _ { \ star } $ may lead to the formation of a debris disk around the bh / ns. efficient accreti... | arxiv:1602.07698 |
hypergraphs are characterized by complex topological structure, representing higher - order interactions among multiple entities through hyperedges. lately, hypergraph - based deep learning methods to learn informative data representations for the problem of node classification on text - attributed hypergraphs have gar... | arxiv:2402.07309 |
the ord ' s graph is a simple graphical method for displaying frequency distributions of data or theoretical distributions in the two - dimensional plane. its coordinates are proportions of the first three moments, either empirical or theoretical ones. a modification of the ord ' s graph based on proportions of indices... | arxiv:1504.03608 |
motivated by the recently demonstrated ability to attach quantum dots to polymers at well defined locations, we propose a condensed phase analog of the ion trap quantum computer : a scheme for quantum computation using chemically assembled semiconductor nanocrystals attached to a linear support. the linear support is e... | arxiv:quant-ph/0105102 |
we prove a lie - algebraic characterization of vector bundle for the lie algebra $ \ mathcal { d } ( e, m ), $ seen as $ { \ rm c } ^ \ infty ( m ) - $ module, of all linear operators acting on sections of a vector bundle $ e \ to m $. we obtain similar result for its lie subalgebra $ \ mathcal { d } ^ 1 ( e, m ) $ of ... | arxiv:2007.14649 |
we study malliavin differentiability for the solutions of a stochastic differential equation with drift of super - linear growth. assuming we have a monotone drift with polynomial growth, we prove malliavin differentiability of any order. as a consequence of this result, under the h \ " ormander ' s hypothesis we prove... | arxiv:2405.19482 |
we consider the nash equilibrium problem in a partial - decision information scenario. specifically, each agent can only receive information from some neighbors via a communication network, while its cost function depends on the strategies of possibly all agents. in particular, while the existing methods assume undirec... | arxiv:2009.04981 |
statistical static timing analysis ( ssta ) is studied from the point of view of mathematical optimization. we present two formulations of the problem of finding the critical path delay distribution that were not known before : ( i ) a formulation of the ssta problem using binary - - integer programming and ( ii ) a pr... | arxiv:2211.02981 |
we study the quark - gluon mixed condensate g < \ bar { q } sigma g q >, which is another chiral order parameter, using the su ( 3 ) c lattice qcd with the kogut - susskind ( ks ) fermion at the quenched level. we generate 100 gauge configurations on the 16 ^ 4 lattice with \ beta = 6. 0, and measure the mixed condensa... | arxiv:hep-lat/0212025 |
in this paper we give five gauge - invariant systems of governing equations for first and second order scalar perturbations of flat friedmann - lema \ ^ { i } tre universes that are minimal in the sense that they contain no redundant equations or variables. we normalize the variables so that they are dimensionless, whi... | arxiv:1808.03200 |
comets are primitive objects that formed in the protoplanetary disk, and have been largely preserved over the history of the solar system. however, they are not pristine, and surfaces of cometary nuclei do evolve. in order to understand the extent of their primitive nature, we must define the mechanisms that affect the... | arxiv:1911.02383 |
in this paper, we consider the problem of repairing a data - trained rectified linear unit ( relu ) neural network ( nn ) controller for a discrete - time, input - affine system. that is we assume that such a nn controller is available, and we seek to repair unsafe closed - loop behavior at one known " counterexample "... | arxiv:2104.02788 |
human knowledge is made up of the conceptual structures of many communities of interest. in order to establish coherence in human knowledge representation, it is important to enable communication between the conceptual structures of different communities the conceptual structures of any particular community is represen... | arxiv:2404.13782 |
epistasis ( gene - gene interaction ) is crucial to predicting genetic disease. our work tackles the computational challenges faced by previous works in epistasis detection by modeling it as a one - step markov decision process where the state is genome data, the actions are the interacted genes, and the reward is an i... | arxiv:1809.09143 |
kingdomino is introduced as an interesting game for studying game playing : the game is multiplayer ( 4 independent players per game ) ; it has a limited game depth ( 13 moves per player ) ; and it has limited but not insignificant interaction among players. several strategies based on locally greedy players, monte car... | arxiv:1807.04458 |
an experimental and numerical smoothed particle hydrodynamics ( sph ) analysis was performed for the convective flow arising from a horizontal, thin cylindrical heat source enclosed in a glycerin - filled, slender enclosure at low rayleigh numbers ( $ 1. 18 \ leq { \ rm ra } \ leq 242 $ ). both the experiments and the ... | arxiv:2012.06055 |
the outward - pointing principal null direction of the schwarzschild riemann tensor is null hypersurface - forming. if the schwarzschild mass spontaneously jumps across one such hypersurface then the hypersurface is the history of an outgoing light - like shell. the outward - - pointing principal null direction of the ... | arxiv:gr-qc/9705042 |
capsule networks are a recently developed class of neural networks that potentially address some of the deficiencies with traditional convolutional neural networks. by replacing the standard scalar activations with vectors, and by connecting the artificial neurons in a new way, capsule networks aim to be the next great... | arxiv:2001.10964 |
we investigate the solution of the equation \ partial _ t e ( x, t ) - id \ partial _ x ^ 2 e ( x, t ) = \ lambda | s ( x, t ) | ^ 2 e ( x, t ) $, for x in a circle and s ( x, t ) a gaussian stochastic field with a covariance of a particular form. it is shown that the coupling \ lambda _ c at which < | e | > diverges f... | arxiv:math-ph/0403018 |
this paper presents a new multi - view rgb - d dataset of nine kitchen scenes, each containing several objects in realistic cluttered environments including a subset of objects from the bigbird dataset. the viewpoints of the scenes are densely sampled and objects in the scenes are annotated with bounding boxes and in t... | arxiv:1609.07826 |
numerical simulations of the evolution of strange - mode instabilities into the non - linear regime have been performed for a wide range of stellar parameters for wolf - rayet stars. it has been shown that the wolf - rayet models reach radial velocities which amount to up to 30 % of their escape velocity. the acoustic ... | arxiv:0908.1029 |
predator - prey networks originating from different aqueous and terrestrial environments are compared to assess if the difference in environments of these networks produce any significant difference in the structure of such predator - prey networks. spectral graph theory is used firstly to discriminate between the stru... | arxiv:1901.02883 |
perovskite nickelate heterostructure consisting of single unit cell of eunio $ _ 3 $ and lanio $ _ 3 $ have been grown on a set of single crystalline substrates by pulsed laser interval deposition to investigate the effect of epitaxial strain on electronic and magnetic properties at the extreme interface limit. despite... | arxiv:1807.00449 |
neural signed distance functions ( sdfs ) are emerging as an effective representation for 3d shapes. state - of - the - art methods typically encode the sdf with a large, fixed - size neural network to approximate complex shapes with implicit surfaces. rendering with these large networks is, however, computationally ex... | arxiv:2101.10994 |
efficient methods to determine the relative position of two conics are of great interest for applications in robotics, computer animation, cagd, computational physics, and other areas. we present a method to obtain the relative position of a parabola or a hyperbola, and a coplanar ellipse, directly from the coefficient... | arxiv:2505.00706 |
recommendation algorithms are susceptible to popularity bias : a tendency to recommend popular items even when they fail to meet user needs. a related issue is that the recommendation quality can vary by demographic groups. marginalized groups or groups that are under - represented in the training data may receive less... | arxiv:2110.08353 |
we construct extended tqfts associated to rozansky - - witten models with target manifolds $ t ^ * \ mathbb { c } ^ n $. the starting point of the construction is the 3 - category whose objects are such rozansky - - witten models, and whose morphisms are defects of all codimensions. by truncation, we obtain a ( non - s... | arxiv:2201.03284 |
we analyze quantum entanglement of stokes light and atomic electronic polarization excited during single - pass, linear - regime, stimulated raman scattering in terms of optical wave - packet modes and atomic - ensemble spatial modes. the output of this process is confirmed to be decomposable into multiple discrete, bo... | arxiv:quant-ph/0512157 |
quantum error correction is crucial for universal fault - tolerant quantum computing. highly accurate and low - time - complexity decoding algorithms play an indispensable role in ensuring quantum error correction works effectively. among existing decoding algorithms, belief propagation ( bp ) is notable for its nearly... | arxiv:2407.11523 |
in robbins ' problem of minimizing the expected rank, a finite sequence of $ n $ independent, identically distributed random variables are observed sequentially and the objective is to stop at such a time that the expected rank of the selected variable ( among the sequence of all $ n $ variables ) is as small as possib... | arxiv:1811.07096 |
in this paper, we consider a three node relay network comprising a source, a relay, and a destination. the source transmits the message to the destination using hybrid automatic repeat request ( harq ) with incremental redundancy ( ir ). the relay overhears the transmitted message, amplifies it using a variable gain am... | arxiv:1404.2131 |
fermi problems ( fps ) are mathematical reasoning tasks that require human - like logic and numerical reasoning. unlike other reasoning questions, fps often involve real - world impracticalities or ambiguous concepts, making them challenging even for humans to solve. despite advancements in ai, particularly with large ... | arxiv:2504.02671 |
solar active region ( ar ) 12673 produced 4 x - class, 27 m - class, and numerous lower class flares during its passage across the visible solar disk in september 2017. our study is to answer the questions why this ar was so flare - productive and how the x9. 3 flare, the largest one of the last decade, took place. we ... | arxiv:1710.06545 |
an exponential luenberger dynamical observer is proposed to estimate the state of a general class of nonautonomous semilinear parabolic equations. the result can be applied to the case where the output is given by state measurements taken at a finite number of spatial points, that is, to the case where our sensors are ... | arxiv:2212.01879 |
we prove exponential convergence to equilibrium for the fredrikson - andersen one spin facilitated model on bounded degree graphs satisfying a subexponential, but larger than polynomial, growth condition. this was a classical conjecture related to non - attractive spin systems. our proof rely on coupling techniques bas... | arxiv:1609.01364 |
we study private stochastic convex optimization ( sco ) under user - level differential privacy ( dp ) constraints. in this setting, there are $ n $ users ( e. g., cell phones ), each possessing $ m $ data items ( e. g., text messages ), and we need to protect the privacy of each user ' s entire collection of data item... | arxiv:2410.18391 |
potential strength of the cosmic chronometers approach up to $ z > 1 $, especially in view of incoming large spectroscopic surveys like euclid. ( abridged ) | arxiv:2305.16387 |
the parametrization theorem is derived in a flat nd pseudo - complex affine space. the pseudo - complex hyperbolic space accomodates n - number of uncompactified time - like extra dimensions with sugnature ( s, r ), where s and r are the numbers of minus and plus signs associated with the diagonalized metric matrix. th... | arxiv:1003.0422 |
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