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the cloud computing paradigm is providing system architects with a new powerful tool for building scalable applications. clouds allow allocation of resources on a " pay - as - you - go " model, so that additional resources can be requested during peak loads and released after that. however, this flexibility asks for ap... | arxiv:1104.5392 |
an rna secondary structure is designable if there is an rna sequence which can attain its maximum number of base pairs only by adopting that structure. the combinatorial rna design problem, introduced by hale \ v { s } et al. in 2016, is to determine whether or not a given rna secondary structure is designable. hale \ ... | arxiv:1709.08088 |
context : in 2004, changes in the radio morphology of the be / x - ray binary system lsi + 61303 suggested that it is a precessing microquasar. in 2006, a set of vlba observations performed throughout the entire orbit of the system were not used to study its precession because the changes in radio morphology could tent... | arxiv:1203.4621 |
the capability to generate and manipulate quantum states in high - dimensional hilbert spaces is a crucial step for the development of quantum technologies, from quantum communication to quantum computation. one - dimensional quantum walk dynamics represents a valid tool in the task of engineering arbitrary quantum sta... | arxiv:1808.08875 |
we propose a scheme for producing directed motion in a lattice system by applying a periodic driving potential. by controlling the dynamics by means of the effect known as coherent destruction of tunneling, we demonstrate a novel ratchet - like effect that enables particles to be coherently manipulated and steered with... | arxiv:0704.1792 |
chains and arrays of phosphorus donors in silicon have recently been used to demonstrate dopant - based quantum simulators. the dopant disorder present in fabricated devices must be accounted for. here, we theoretically study transport through disordered donor - based $ 3 \ times 3 $ arrays that model recent experiment... | arxiv:2405.05217 |
motivated by recent findings on the derivation of parametric non - involutive solutions of the yang - baxter equation we reconstruct the underlying algebraic structures, called near braces. using the notion of the near braces we produce new multi - parametric, non - degenerate, non - involutive solutions of the set - t... | arxiv:2302.13989 |
in 1974 by pierre deligne ). cyclotomic fields are among the most intensely studied number fields. they are of the form q ( ζn ), where ζn is a primitive nth root of unity, i. e., a complex number ζ that satisfies ζn = 1 and ζm = 1 for all 0 < m < n. for n being a regular prime, kummer used cyclotomic fields to prove f... | https://en.wikipedia.org/wiki/Field_(mathematics) |
esports offers a platform for players to engage in competitive and cooperative gaming with others remotely via the internet. despite these opportunities for social interaction, many players may still experience loneliness while playing online games. this study aims to enhance the social presence of partner players duri... | arxiv:2411.05142 |
we present formtracer, a high - performance, general purpose, easy - to - use mathematica tracing package which uses form. it supports arbitrary space and spinor dimensions as well as an arbitrary number of simple compact lie groups. while keeping the usability of the mathematica interface, it relies on the efficiency ... | arxiv:1610.09331 |
we present a model for the motion of hard spherical particles on a two dimensional surface. the model includes both the interaction between the particles via collisions, as well as the interaction of the particles with the substrate. we analyze in details the effects of sliding and rolling friction, that are usually ov... | arxiv:cond-mat/9811076 |
we obtain spectral estimates for the iterations of ruelle operator $ l _ { f + ( a + \ i b ) \ tau + ( c + \ i d ) g } $ with two complex parameters and h \ " { o } lder functions $ f, \ : g $ generalizing the case $ \ pr ( f ) = 0 $ studied in [ pes2 ]. as an application we prove a sharp large deviation theorem concer... | arxiv:1811.04811 |
we present detailed microscopic simulations of high - energy cosmic - ray air showers penetrating high - altitude ice layers that can be found at the polar regions. we use a combination of the corsika monte carlo code and the geant4 simulation toolkit, and focus on the particle cascade that develops in the ice to descr... | arxiv:2202.09211 |
the present paper has a number of distinct purposes. first is to give a description of a class of electromagnetic knots from the perspective of foliation theory. knotted solutions are then interpreted in terms of two codimension - 2 foliations whose knotted leaves intersect orthogonally everywhere in spacetime. secondl... | arxiv:1809.09259 |
in this paper, we consider domino tilings of regions of the form $ \ mathcal { d } \ times [ 0, n ] $, where $ \ mathcal { d } $ is a simply connected planar region and $ n \ in \ mathbb { n } $. it turns out that, in nontrivial examples, the set of such tilings is not connected by flips, i. e., the local move performe... | arxiv:1410.7693 |
we study a certain generalization of lie algebras where the jacobian of three elements does not vanish but is equal to an expression depending on a skew - symmetric bilinear form. | arxiv:0812.0080 |
we present time - resolved optical spectroscopy of the dwarf nova css100603 : 112253 - 111037. its optical spectrum is rich in helium, with broad, double - peaked emission lines produced in an accretion disc. we measure a line flux ratio hei5876 / h _ alpha = 1. 49 + / - 0. 04, a much higher ratio than is typically obs... | arxiv:1207.3836 |
quantum approximate optimization is one of the promising candidates for useful quantum computation, particularly in the context of finding approximate solutions to quadratic unconstrained binary optimization ( qubo ) problems. however, the existing quantum processing units ( qpus ) are relatively small, and canonical m... | arxiv:2408.07793 |
we here propose a machine learning approach for monitoring particle detectors in real - time. the goal is to assess the compatibility of incoming experimental data with a reference dataset, characterising the data behaviour under normal circumstances, via a likelihood - ratio hypothesis test. the model is based on a mo... | arxiv:2303.05413 |
deep learning - based video inpainting has yielded promising results and gained increasing attention from researchers. generally, these methods usually assume that the corrupted region masks of each frame are known and easily obtained. however, the annotation of these masks are labor - intensive and expensive, which li... | arxiv:2208.06807 |
light - matter interaction with squeezed vacuum has received much interest for the ability to enhance the native interaction strength between an atom and a photon with a reservoir assumed to have an infinite bandwidth. here, we study a model of parametrically driven cavity quantum electrodynamics ( cavity qed ) for enh... | arxiv:2412.15068 |
robots operating in the real world will experience a range of different environments and tasks. it is essential for the robot to have the ability to adapt to its surroundings to work efficiently in changing conditions. evolutionary robotics aims to solve this by optimizing both the control and body ( morphology ) of a ... | arxiv:2003.13254 |
the stability of the perfect screw dislocation in silicon has been investigated using both classical potentials and first - principles calculations. although a recent study by koizumi et al. stated that the stable screw dislocation was located in both the ' shuffle ' and the ' glide ' sets of { 111 } planes, it is show... | arxiv:0709.1588 |
we study a network formation game where agents receive benefits by forming connections to other agents but also incur both direct and indirect costs from the formed connections. specifically, once the agents have purchased their connections, an attack starts at a randomly chosen vertex in the network and spreads accord... | arxiv:1906.00241 |
this paper has excessive overlap with the following papers also written by the authors or their collaborators : gr - qc / 0607103, gr - qc / 0607119, gr - qc / 0607115, gr - qc / 0607102, gr - qc / 0602012, gr - qc / 0702047, gr - qc / 0607089, gr - qc / 0510123, and others. | arxiv:gr-qc/0606080 |
the development of multimodal models has significantly advanced multimodal sentiment analysis and emotion recognition. however, in real - world applications, the presence of various missing modality cases often leads to a degradation in the model ' s performance. in this work, we propose a novel multimodal transformer ... | arxiv:2407.05374 |
we consider polygons with the following ` ` pairing property ' ' : for each edge of the polygon there is precisely one other edge parallel to it. we study the problem of when such a polygon $ k $ tiles the plane multiply when translated at the locations $ \ lambda $, where $ \ lambda $ is a multiset in the plane. the p... | arxiv:math/9904065 |
during its first 2 years of mission the fermi - lat instrument discovered more than 1, 800 gamma - ray sources in the 100 mev to 100 gev range. despite the application of advanced techniques to identify and associate the fermi - lat sources with counterparts at other wavelengths, about 40 % of the lat sources have no a... | arxiv:1603.00231 |
spin preparation prior to a free - induction - decay ( fid ) measurement can be adversely affected by transverse bias fields, particularly in the geophysical field range. a strategy that enhances the spin polarization accumulated before readout is demonstrated, by synchronizing optical pumping with a magnetic field pul... | arxiv:2307.11600 |
doubly quantized vortices were topologically imprinted in $ | f = 1 > $ $ ^ { 23 } $ na condensates, and their time evolution was observed using a tomographic imaging technique. the decay into two singly quantized vortices was characterized and attributed to dynamical instability. the time scale of the splitting proces... | arxiv:cond-mat/0407045 |
we study a model of the generalized brans - dicke gravity presented in both the jordan and in the einstein frames, which are conformally related. we show that the scalar field equations in the einstein frame are reduced to the geodesics equations on the target space of the nonlinear sigma - model. the analytical soluti... | arxiv:1311.6384 |
we discuss the dynamics of integrable and nonintegrable chains of coupled oscillators under continuous weak position measurements in the semiclassical limit. we show that, in this limit, the dynamics is described by a standard stochastic langevin equation, and a measurement - induced transition appears as a noise - and... | arxiv:2210.03760 |
weak magnetic field induced corrections to effective coupling constants describing light vector mesons mixings and vector meson dominance ( vmd ) are derived. the magnetic field must be weak with respect to an effective quark mass $ m ^ * $ such that : $ eb _ 0 / { m ^ * } ^ 2 < 1 $ or $ eb _ 0 / { m ^ * } ^ 2 < < 1 $.... | arxiv:2004.07883 |
the stokes wave problem in a constant vorticity flow is formulated via a conformal mapping as a modified babenko equation. the associated linearized operator is self - adjoint, whereby efficiently solved by the newton - conjugate gradient method. for strong positive vorticity, a fold develops in the wave speed versus a... | arxiv:1904.05779 |
resistive switching is the fundamental process that triggers the sudden change of the electrical properties in solid - state devices under the action of intense electric fields. despite its relevance for information processing, ultrafast electronics, neuromorphic devices, resistive memories and brain - inspired computa... | arxiv:2402.00747 |
the tunneling approach to the wave function of the universe has been recently criticized by bousso and hawking who claim that it predicts a catastrophic instability of de sitter space with respect to pair production of black holes. we show that this claim is unfounded. first, we argue that different horizon size region... | arxiv:gr-qc/9609067 |
this is a survey on the construction of a canonical or " octonionic k \ " ahler " 8 - form, representing one of the generators of the cohomology of the four cayley - rosenfeld projective planes. the construction, in terms of the associated even clifford structures, draws a parallel with that of the quaternion k \ " ahl... | arxiv:1609.06881 |
we propose a new way of probing non - thermal origin of baryon asymmetry of universe ( bau ) and dark matter ( dm ) from evaporating primordial black holes ( pbh ) via stochastic gravitational waves ( gw ) emitted due to pbh density fluctuations. we adopt a baryogenesis setup where cp violating out - of - equilibrium d... | arxiv:2212.00052 |
the andromeda galaxy ( m31 ) hosts a central super - massive black hole ( smbh ), known as m31 $ ^ \ ast $, which is remarkable for its mass ( $ \ sim $ $ 10 ^ 8 { \ rm ~ m _ \ odot } $ ) and extreme radiative quiescence. over the past decade, the chandra x - ray observatory has pointed to the center of m31 $ \ sim $ 1... | arxiv:1011.1224 |
in this paper, we propose enhancing monocular depth estimation by adding 3d points as depth guidance. unlike existing depth completion methods, our approach performs well on extremely sparse and unevenly distributed point clouds, which makes it agnostic to the source of the 3d points. we achieve this by introducing a n... | arxiv:2012.10296 |
complex spatial patterns in biological systems often arise through self - organization without a central coordination, guided by local interactions and chemical signaling. in this study, we explore how motility - dependent chemical deposition and concentration - sensitive feedback can give rise to fractal - like networ... | arxiv:2504.16539 |
we first illustrate on a simple example how, in existing brane cosmological models, the connection of a ' bulk ' region to its mirror image creates matter on the ' brane '. next, we present a cosmological model with no $ z _ 2 $ symmetry which is a spherical symmetric ' shell ' separating two metrically different 5 - d... | arxiv:gr-qc/0004021 |
we study the task of replicating the functionality of black - box neural models, for which we only know the output class probabilities provided for a set of input images. we assume back - propagation through the black - box model is not possible and its training images are not available, e. g. the model could be expose... | arxiv:2010.11158 |
mechanical action of various kinds of waves have been known for several centuries. the first tide of scientific interest in wave - induced forces and torques emerged at the end of the 19th / beginning of the 20th centuries, with the development of wave theories and the concepts of wave momentum and angular momentum. a ... | arxiv:2410.23670 |
seeds of sunflowers are often modelled by the map $ n \ longmapsto \ varphi _ \ theta ( n ) = \ sqrt { n } e ^ { 2i \ pi n \ theta } $ leading to a roughly uniform repartition with two consecutive seeds separated by the divergence angle $ 2 \ pi \ theta $ for $ \ theta $ the golden ratio. we associate to an arbitrary r... | arxiv:1301.7568 |
although remarkable progress has been made in recent years, current multi - exposure image fusion ( mef ) research is still bounded by the lack of real ground truth, objective evaluation function, and robust fusion strategy. in this paper, we study the mef problem from a new perspective. we don ' t utilize any synthesi... | arxiv:2305.12734 |
the charge carrier dynamics of doped electronic correlated systems on ladders and chains, subject to ultrafast photoirradiation, is investigated using the time - dependent lanczos method. the time - resolved optical conductivity and the temporal profiles of other relevant quantities, including the doublon number, the k... | arxiv:1811.10845 |
in recent years, industrial control systems ( ics ) have become an appealing target for cyber attacks, having massive destructive consequences. security metrics are therefore essential to assess their security posture. in this paper, we present a novel ics security metric based on and / or graphs that represent cyber -... | arxiv:1905.04796 |
pairwise difference learning ( pdl ) has recently been introduced as a new meta - learning technique for regression. instead of learning a mapping from instances to outcomes in the standard way, the key idea is to learn a function that takes two instances as input and predicts the difference between the respective outc... | arxiv:2406.20031 |
we consider hard exclusive production of exotic hadrons to study their internal structure. revisiting the constituent - counting rule for the large - angle exclusive scattering, we discuss general features expected for the production cross section of exotic hadrons whose leading fock states are given by multi - quark s... | arxiv:1402.0623 |
we present a conjecture for the power - law exponent in the asymptotic number of types of plane curves as the number of self - intersections goes to infinity. in view of the description of prime alternating links as flype equivalence classes of plane curves, a similar conjecture is made for the asymptotic number of pri... | arxiv:math-ph/0304034 |
one - dimensional ( 1d ) materials have attracted significant research interest due to their unique quantum confinement effects and edge - related properties. atomically thin 1d nanoribbon is particularly interesting because it is a valuable platform with physical limits of both thickness and width. here, we develop a ... | arxiv:2104.01898 |
feature selection is essential for effective visual recognition. we propose an efficient joint classifier learning and feature selection method that discovers sparse, compact representations of input features from a vast sea of candidates, with an almost unsupervised formulation. our method requires only the following ... | arxiv:1512.00517 |
the architecture of transformer is based entirely on self - attention, and has been shown to outperform models that employ recurrence on sequence transduction tasks such as machine translation. the superior performance of transformer has been attributed to propagating signals over shorter distances, between positions i... | arxiv:1908.10408 |
i review the present status of lattice calculations of properties of gluon - rich hadrons and comment on future prospects, in view of planned experiments. | arxiv:hep-ph/0110254 |
a famous result due to i. m. isaacs states that if a commutative ring $ r $ has the property that every prime ideal is principal, then every ideal of $ r $ is principal. this motivates ring theorists to study commutative rings for which every ideal is a direct sum of cyclically presented modules. in this paper, we stud... | arxiv:2208.07942 |
this paper addresses the problem of energy - efficient resource allocation in the downlink of a cellular ofdma system. three definitions of the energy efficiency are considered for system design, accounting for both the radiated and the circuit power. user scheduling and power allocation are optimized across a cluster ... | arxiv:1405.2962 |
differential equations with infinitely many derivatives, sometimes also referred to as ` ` nonlocal ' ' differential equations, appear frequently in branches of modern physics such as string theory, gravitation and cosmology. the goal of this paper is to show how to properly interpret and solve such equations, with a s... | arxiv:1403.0933 |
for many cases, the conditions to fully embed a classical solution of one field theory within a larger theory cannot be met. instead, we find it useful to embed only the solution ' s asymptotic fields as this relaxes the embedding constraints. such asymptotically embedded defects have a simple classification that can b... | arxiv:hep-th/0210018 |
stationary, d - dimensional test branes, interacting with n - dimensional myers - perry bulk black holes, are investigated in arbitrary brane and bulk dimensions. the branes are asymptotically flat and axisymmetric around the rotation axis of the black hole with a single angular momentum. they are also spherically symm... | arxiv:1311.6457 |
the image of a finitely determined holomorphic germ $ \ phi $ from $ \ mathbb { c } ^ 2 $ to $ \ mathbb { c } ^ 3 $ defines a hypersurface singularity $ ( x, 0 ) $, which is in general non - isolated. we show that the diffeomorphism type of the boundary of the milnor fibre $ \ partial f $ of $ x $ is a topological inva... | arxiv:2304.12672 |
the davis hyperbolic four - manifold $ \ mathcal { d } $ is not almost - complex, so that its seiberg - witten invariants corresponding to zero - dimensional moduli spaces are vanishing by definition. in this paper, we show that all the seiberg - witten invariants involving higher - dimensional moduli spaces also vanis... | arxiv:2503.08536 |
in a markovian framework, we consider the problem of finding the minimal initial value of a controlled process allowing to reach a stochastic target with a given level of expected loss. this question arises typically in approximate hedging problems. the solution to this problem has been characterised by bouchard, elie ... | arxiv:1512.09189 |
we discuss the hadroproduction of charmed mesons in the framework of the constituent cascade model taking into account the valence quark annihilation. it is shown that the small valence quark annihilation process dominates the leading particle production at large feynman x and explains the recent experimental data on t... | arxiv:hep-ph/9810284 |
we discuss the potential for making precision measurements of $ m _ w $ and $ m _ t $ at a muon collider and the motivations for each measurement. a comparison is made with the precision measurements expected at other facilities. the measurement of the top quark decay width is also discussed. | arxiv:hep-ph/9512260 |
photons are neutral particles that do not interact directly with a magnetic field. however, recent theoretical work has shown that an effective magnetic field for photons can exist if the phase of light would change with its propagating direction. this direction - dependent phase indicates the presence of an effective ... | arxiv:1309.5269 |
multiple different phases. these phases include planning and design, performance, and analysis and interpretation. it is believed by many educators that laboratory work promotes their students ' scientific thinking, problem solving skills, and cognitive development. since 1960, instructional strategies for science educ... | https://en.wikipedia.org/wiki/Science_education |
the fourier power spectrum is one of the most widely used statistical tools to analyze the nature of magnetohydrodynamic turbulence in the interstellar medium. lazarian & pogosyan ( 2004 ) predicted that the spectral slope should saturate to - 3 for an optically thick medium and many observations exist in support of th... | arxiv:1305.3619 |
we propose a versatile and computationally efficient estimating equation method for a class of hierarchical multiplicative generalized linear mixed models with additive dispersion components, based on explicit modelling of the covariance structure. the class combines longitudinal and random effects models and retains a... | arxiv:1008.2870 |
explanation of an ai agent requires knowledge of its design and operation. an open question is how to identify, access and use this design knowledge for generating explanations. many ai agents used in practice, such as intelligent tutoring systems fielded in educational contexts, typically come with a user guide that e... | arxiv:2112.09616 |
displaystyle t } and will be linked by the new node with probability 1 / t { \ displaystyle 1 / t } already has degree k { \ displaystyle k } at time t { \ displaystyle t } and will not be linked by the new node. after simplifying this model, the degree distribution is p ( k ) = 2 − k. { \ displaystyle p ( k ) = 2 ^ { ... | https://en.wikipedia.org/wiki/Network_science |
we consider two - player games played in real time on game structures with clocks where the objectives of players are described using parity conditions. the games are \ emph { concurrent } in that at each turn, both players independently propose a time delay and an action, and the action with the shorter delay is chose... | arxiv:1011.0688 |
low q2 photon - proton cross sections are analysed using a simple, qcd - motivated parametrisation $ \ sigma _ { \ gamma ^ \ star p } \ propto 1 / ( q ^ 2 + q _ 0 ^ 2 ) $, which gives a good description of the data. the q2 dependence of the gamma * p cross section is discussed in terms of the partonic transverse moment... | arxiv:hep-ph/9807268 |
we use computer simulations to investigate the effect of salt on homogeneous ice nucleation. the melting point of the employed solution model was obtained both by direct coexistence simulations and by thermodynamic integration from previous calculations of the water chemical potential. using a seeding approach, in whic... | arxiv:1709.00619 |
nowadays, unmanned aerial vehicles ( uavs ) are increasingly utilized in search and rescue missions, a trend driven by technological advancements, including enhancements in automation, avionics, and the reduced cost of electronics. in this work, we introduce a collaborative model predictive control ( mpc ) framework ai... | arxiv:2504.18153 |
we study the existence of maximal ideals in preadditive categories defining an order $ \ preceq $ between objects, in such a way that if there do not exist maximal objects with respect to $ \ preceq $, then there is no maximal ideal in the category. in our study, it is sometimes sufficient to restrict our attention to ... | arxiv:1710.07053 |
has revealed some aspects of pre - qin mathematics, such as the first known decimal multiplication table. the abacus was first mentioned in the second century bc, alongside ' calculation with rods ' ( suan zi ) in which small bamboo sticks are placed in successive squares of a checkerboard. = = qin dynasty = = not much... | https://en.wikipedia.org/wiki/Chinese_mathematics |
in low magnetic field, the stacked, triangular antiferromagnet cscucl3 has a helical structure incommensurate ( ic ) in the chain direction. the ic wavenumber ( from neutron - diffraction experiments ) decreases with increasing field transverse to the chains, as predicted by classical theory, but then it has a plateau ... | arxiv:cond-mat/9702201 |
" encourage friendships and a feeling of social involvement " ) programs, which seek to help acclimate new students to their surroundings and foster a greater sense of community. as a result, the institute ' s retention rates improved. in the fall of 2007, the north avenue apartments were opened to tech students. origi... | https://en.wikipedia.org/wiki/Georgia_Tech |
lack of it, and not the firepower, was blamed for the defeat of the imperial russian army in the russo - japanese war. foch thought that " in strategy as well as in tactics one attacks ". in many ways military science was born as a result of the experiences of the great war. " military implements " had changed armies b... | https://en.wikipedia.org/wiki/Military_science |
we present the first application of lens magnification to measure the absolute mass of a galaxy cluster ; abell 1689. the absolute mass of a galaxy cluster can be measured by the gravitational lens magnification of a background galaxy population by the cluster potential. the lensing signal is complicated by the variati... | arxiv:astro-ph/9801158 |
a vertex - colored graph $ g $ is said to be rainbow vertex - connected if every two vertices of $ g $ are connected by a path whose internal vertices have distinct colors, such a path is called a rainbow path. the rainbow vertex - connection number of a connected graph $ g $, denoted by $ rvc ( g ) $, is the smallest ... | arxiv:1201.1541 |
the task of query rewrite aims to convert an in - context query to its fully - specified version where ellipsis and coreference are completed and referred - back according to the history context. although much progress has been made, less efforts have been paid to real scenario conversations that involve drawing inform... | arxiv:2210.12775 |
the ' standard ' confidence interval for a poisson parameter is only one of a number of estimation intervals based on the chi - square distribution that may be used in the estimation of the mean or mean rate for a poisson model. other chi - square intervals are available for experimenters using bayesian or structural i... | arxiv:1102.0822 |
the existence of the $ j ^ p = 1 / 2 ^ + $ narrow resonance predicted by the chiral soliton model has been investigated by utilizing the new kaon photoproduction data. for this purpose, we have constructed two phenomenological models, which are able to describe kaon photoproduction from threshold up to w = 1730 mev. by... | arxiv:1110.3552 |
we propose a metric called the bistatic radar detection coverage probability to evaluate the detection performance of a bistatic radar under discrete clutter conditions. such conditions are commonly encountered in indoor and outdoor environments where passive radars receivers are deployed with opportunistic illuminator... | arxiv:2201.09499 |
security inspection is x - ray scanning for personal belongings in suitcases, which is significantly important for the public security but highly time - consuming for human inspectors. fortunately, deep learning has greatly promoted the development of computer vision, offering a possible way of automatic security inspe... | arxiv:2103.00809 |
robotics, automation, and related artificial intelligence ( ai ) systems have become pervasive bringing in concerns related to security, safety, accuracy, and trust. with growing dependency on physical robots that work in close proximity to humans, the security of these systems is becoming increasingly important to pre... | arxiv:2302.07953 |
non - negative matrix factorization with transform learning ( tl - nmf ) is a recent idea that aims at learning data representations suited to nmf. in this work, we relate tl - nmf to the classical matrix joint - diagonalization ( jd ) problem. we show that, when the number of data realizations is sufficiently large, t... | arxiv:2112.05664 |
we present a new type of game, the liquidity game. we draw inspiration from the uk government bond market and apply game theoretic approaches to its analysis. in liquidity games, market participants ( agents ) use non - cooperative games where the players ' utility is directly defined by the liquidity of the game itsel... | arxiv:2405.02865 |
let $ \ mathbb { f } _ { q } $ be a finite field with $ q $ elements, where $ q $ is a power of prime $ p $. a polynomial over $ \ mathbb { f } _ { q } $ is square - free if all its monomials are square - free. in this note, we determine an upper bound on the number of zeroes in the affine torus $ t = ( \ mathbb { f } ... | arxiv:2002.10920 |
the secondary component of gw190814 has mass in the range $ 2. 5 $ - - $ 2. 67 { \ rm m } _ \ odot $, placing it within the lower mass gap separating neutron stars from black holes. according to the predictions of general relativity and state - of - the - art nuclear equations of state, this object is too heavy to be a... | arxiv:2403.03399 |
we adapt techniques of hochman to prove a non - singular ergodic theorem for $ \ mathbb { z } ^ d $ - actions where the sums are over rectangles with side lengths increasing at arbitrary rates, and in particular are not necessarily balls of a norm. this result is applied to show that the critical dimensions with respec... | arxiv:1606.01620 |
subspace clustering is a useful technique for many computer vision applications in which the intrinsic dimension of high - dimensional data is often smaller than the ambient dimension. spectral clustering, as one of the main approaches to subspace clustering, often takes on a sparse representation or a low - rank repre... | arxiv:1803.05657 |
ultra - fine entity typing ( ufet ) aims to predict a wide range of type phrases that correctly describe the categories of a given entity mention in a sentence. most recent works infer each entity type independently, ignoring the correlations between types, e. g., when an entity is inferred as a president, it should al... | arxiv:2212.01581 |
strong lensed quasi - stellar objects ( qsos ) are valuable probes of the universe in numerous aspects. two of these applications, reverberation mapping and measuring time delays for determining cosmological parameters, require the source qsos to be variable with sufficient amplitude. in this paper, we forecast the num... | arxiv:2304.02784 |
we present our initial investigation of key challenges and potentials of immersive analytics ( ia ) in sports, which we call sportsxr. sports are usually highly dynamic and collaborative by nature, which makes real - time decision making ubiquitous. however, there is limited support for athletes and coaches to make inf... | arxiv:2004.08010 |
equations of degree as high as six, although he did not describe his method of solving equations. " li chih ( or li yeh, 1192 – 1279 ), a mathematician of peking who was offered a government post by khublai khan in 1206, but politely found an excuse to decline it. his ts ' e - yuan hai - ching ( sea - mirror of the cir... | https://en.wikipedia.org/wiki/Chinese_mathematics |
for a large class of orthogonal basis functions, there has been a recent identification of expansion methods for computing accurate, stable approximations of a quantity of interest. this paper presents, within the context of uncertainty quantification, a practical implementation using basis adaptation, and coherence mo... | arxiv:1702.01185 |
the qubit - mapping problem aims to assign and route qubits of a quantum circuit onto a nisq device in an optimized fashion, with respect to some cost function. finding an optimal solution to this problem is known to scale exponentially in computational complexity ; as such, it is imperative to investigate scalable qub... | arxiv:2103.15695 |
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