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event - by - event fluctuations in the multiplicities of charged particles and photons at sps energies are discussed. fluctuations are studied by controlling the centrality of the reaction and rapidity acceptance of the detectors. results are also presented on the event - by - event study of correlations between the mu... | arxiv:nucl-ex/0208019 |
we give an analytical calculation of solar neutrino masses and mixing at one - loop order within bilinear r - parity breaking supersymmetry, and compare our results to the exact numerical calculation. our method is based on a systematic perturbative expansion of r - parity violating vertices to leading order. we find i... | arxiv:hep-ph/0302021 |
we derive in this an expression for the rotation of plane of polarization, of an electromagnetic wave, induced by the field of a gravitational wave propagating along the same direction $ \ approx \ f { g \ mu d ^ 2 \ omega ^ 4 } { 3 \ o } $, $ \ o $ and $ \ omega $ being their respective frequencies using the geometric... | arxiv:astro-ph/0110606 |
alkali - doped fullerides are strongly correlated organic superconductors that exhibit high transition temperatures, exceptionally large critical magnetic fields and a number of other unusual properties. the proximity to a mott insulating phase is thought to be a crucial ingredient of the underlying physics, and may al... | arxiv:2109.08679 |
in this paper we introduce the class of graded poisson color algebras as the natural generalization of graded poisson algebras and graded poisson superalgebras. for $ \ lambda $ an arbitrary abelian group, we show that any of such $ \ lambda $ - graed poisson color algebra $ \ mathcal { p } $, with a symmetric $ \ lamb... | arxiv:2303.13832 |
in intelligent transportation system, real - time systems that monitor and analyze road users become increasingly critical as we march toward the smart city era. vision - based frameworks for object detection, multiple object tracking, and traffic near accident detection are important applications of intelligent transp... | arxiv:1901.01138 |
photonic spectrographs offer a highly miniaturized, flexible, and stable on - chip solution for astronomical spectroscopy and can be used for various science cases such as determining the atmospheric composition of exoplanets to understand their habitability, formation, and evolution. arrayed waveguide gratings ( awgs ... | arxiv:2203.10153 |
by using the bondi - sachs - van der burg formalism we analyze the asymptotic properties at null infinity of axisymmetric electrovacuum spacetimes with a translational killing vector and, in general, an infinite ` ` cosmic string ' ' ( represented by a conical singularity ) along the axis. such spacetimes admit only a ... | arxiv:gr-qc/9903020 |
do - 178b was based on the consensus of the avionic software community as it existed in 1992. twenty two years after publication, we have no publically available experimental data as to its efficacy. it appears to work extremely well, since there have been no hull loss accidents in passenger service ascribed to softwar... | arxiv:1404.6804 |
nonlinear dynamics bring difficulties to controller design for control - affine systems such as tractor - trailer vehicles, especially when the parameters in the dynamics are unknown. to address this constraint, we propose a derivative - based lifting function construction method, show that the corresponding infinite d... | arxiv:2311.08707 |
the concept of typed topological space is introduced, for which open sets in a topology on a finite set will be assigned types ( from lattice ). the neighborhood system of a point, the closure and the connectedness can be defined according to chain of types, which effectively avoids the situation when most singletons a... | arxiv:1804.04627 |
in gravitational scattering the quantum particle probes the fourier - transforms of a metric. i evaluate the fourier - transforms of schwarzschild metrics in standard, harmonic and other coordinate systems in linear and $ g ^ 2 - $ approximations. in general different coordinate systems lead to different scattering. th... | arxiv:1712.02232 |
in mathematics, an invariant is a property of a mathematical object ( or a class of mathematical objects ) which remains unchanged after operations or transformations of a certain type are applied to the objects. the particular class of objects and type of transformations are usually indicated by the context in which t... | https://en.wikipedia.org/wiki/Invariant_(mathematics) |
we propose audio - visual lightweight iterative model ( avlit ), an effective and lightweight neural network that uses progressive learning ( pl ) to perform audio - visual speech separation in noisy environments. to this end, we adopt the asynchronous fully recurrent convolutional neural network ( a - frcnn ), which h... | arxiv:2306.00160 |
in spite of their relatively high lattice thermal conductivity $ \ kappa _ { \ ell } $, the xnisn ( x = ti, zr or hf ) half - heusler compounds are good thermoelectric materials. previous studies have shown that $ \ kappa _ { \ ell } $ can be reduced by sublattice - alloying on the x - site. to cast light on how the al... | arxiv:1611.01757 |
we explore fermi ' s paradox via a system of differential equations and using simulations of dispersal and interactions between competing interplanetary civilizations. to quantify the resources and potentials of these worlds, three different state variables representing population, environment, and technology, are used... | arxiv:2411.00061 |
we introduce new methods for integrating nonlinear differential equations on low - rank manifolds. these methods rely on interpolatory projections onto the tangent space, enabling low - rank time integration of vector fields that can be evaluated entry - wise. a key advantage of our approach is that it does not require... | arxiv:2402.18721 |
with the development of deep learning, neural network is commonly adopted to the license plate detection ( lpd ) task and achieves much better performance and precision, especially cnn - based networks can achieve state of the art retinanet [ 1 ]. for a single object detection task such as lpd, modified general object ... | arxiv:2112.12070 |
in this paper, we analyze and optimize the energy efficiency of downlink cellular networks. with the aid of tools from stochastic geometry, we introduce a new closed - form analytical expression of the potential spectral efficiency ( bit / sec / m $ ^ 2 $ ). in the interference - limited regime for data transmission, u... | arxiv:1801.07513 |
this paper introduces a lyapunov - based control approach with homodyne measurement. we study two filtering approaches : ( i ) the traditional quantum filtering and ( ii ) a modified version of the extended kalman filtering. we examine both methods in order to directly estimate the evolution of the coherence vector ele... | arxiv:2403.07021 |
by combining surface brightness profiles from images taken in the hst / nicmos f160w and ground - based ( gb ) $ k $ bands, we have obtained nir profiles for a well studied sample of inclined disk galaxies, spanning radial ranges from 20 pc to a few kpc. we fit psf - convolved sersic - plus - exponential laws to the pr... | arxiv:astro-ph/0106413 |
a new notion of a hausdorff - type operator on function spaces over domains in euclidean spaces is introduced, and a sufficient condition for the boundedness of this operator on sobolev spaces is proved. it is shown that this condition cannot be weakened in general. | arxiv:2406.10668 |
in general, flat outputs of a nonlinear system may depend on the system ' s state and input as well as on an arbitrary number of time derivatives of the latter. if a flat output which also depends on time derivatives of the input is known, one may pose the question whether there also exists a flat output which is indep... | arxiv:2206.03845 |
we consider the erdos - renyi random graph g ( n, p ) inside the critical window, that is when p = 1 / n + lambda * n ^ { - 4 / 3 }, for some fixed lambda in r. then, as a metric space with the graph distance rescaled by n ^ { - 1 / 3 }, the sequence of connected components g ( n, p ) converges towards a sequence of co... | arxiv:0903.4730 |
in the conformal - gauge two - dimensional quantum gravity, the solution obtained by the perturbative or path - integral approach is compared with the one obtained by the operator - formalism approach. treatments of the anomaly problem in both approaches are different. this difference is found to be essentially caused ... | arxiv:hep-th/9904057 |
despite multipartite entanglement being a global property of a quantum state, a number of recent works have made it clear that it can be quantified using only local measurements. this is appealing because local measurements are the easiest to implement on current quantum hardware. however, it remains an open question w... | arxiv:2401.08065 |
the phase transition from hadronic matter to quark matter at high density might be a strong first order phase transition in presence of a large surface tension between the two phases. while this implies a constant - pressure mixed phase for cold and catalyzed matter this is not the case for the hot and lepton rich matt... | arxiv:0907.3075 |
the physical problem behind informationally complete ( ic ) measurements is determining an unknown state statistically by measurement outcomes, known as state tomography. it is of central importance in quantum information processing such as channel estimating, device testing, quantum key distribution, etc. however, con... | arxiv:2112.13052 |
( ceo earthlink ), david dorman ( ceo at & t corporation ), mike duke ( ceo wal - mart ), david c. garrett jr. ( ceo delta air lines ), and james d. robinson iii ( ceo american express and later director of the coca - cola company ). tech graduates have been deeply influential in politics, military service, and activis... | https://en.wikipedia.org/wiki/Georgia_Tech |
we produce generalizations of iwasawa ' s ` riemann - hurwitz ' formula for number fields. these generalizations apply to cyclic extensions of number fields of degree p ^ n for any positive integer n. we first deduce some congruences and inequalities and then use these formulas to establish a vanishing criterion for iw... | arxiv:1211.4140 |
we develop a general hydrodynamic framework for computing direct current thermal and electric transport in a strongly interacting finite temperature quantum system near a lorentz - invariant quantum critical point. our framework is non - perturbative in the strength of long wavelength fluctuations in the background cha... | arxiv:1510.01738 |
tensor computations - - in particular tensor contraction ( tc ) - - are important kernels in many scientific computing applications. due to the fundamental similarity of tc to matrix multiplication ( mm ) and to the availability of optimized implementations such as the blas, tensor operations have traditionally been im... | arxiv:1607.00291 |
we consider the problem of computing the lebesgue volume of compact basic semi - algebraic sets. in full generality, it can be approximated as closely as desired by a converging hierarchy of upper bounds obtained by applying the moment - sos ( sums of squares ) methodology to a certain infinite - dimensional linear pro... | arxiv:2009.12139 |
low latency services such as credit - card fraud detection and website targeted advertisement rely on big data platforms ( e. g., lucene, graphchi, cassandra ) which run on top of memory managed runtimes, such as the jvm. these platforms, however, suffer from unpredictable and unacceptably high pause times due to inade... | arxiv:1804.00702 |
we address the mechanics of an elastic ribbon subjected to twist and tensile load. motivated by the classical work of green and a recent experiment that discovered a plethora of morphological instabilities, we introduce a comprehensive theoretical framework through which we construct a 4d phase diagram of this basic sy... | arxiv:1403.0267 |
recent observation of a resonance spin excitation at ( 1 / 2, 1 / 2, 1 / 2 ) in the superconducting state of cecoin _ 5 [ c. stock et al., phys. rev. lett. { \ bf 100 } 087001 ( 2008 ) ] was interpreted as an evidence for d _ { x ^ 2 - y ^ 2 } gap symmetry, by analogy with the cuprates. this is true if the resonance is... | arxiv:0804.2217 |
ecological momentary assessments ( emas ) are an important psychological data source for measuring current cognitive states, affect, behavior, and environmental factors from participants in mobile health ( mhealth ) studies and treatment programs. non - response, in which participants fail to respond to ema prompts, is... | arxiv:2111.01193 |
pitch - angle scattering rates for cosmic - ray particles in magnetohydrodynamic ( mhd ) simulations with imbalanced turbulence are calculated for fully evolving electromagnetic turbulence. we compare with theoretical predictions derived from the quasilinear theory of cosmic - ray diffusion for an idealized slab spectr... | arxiv:1508.03156 |
we obtain the low - energy effective theory from string models with anomalous $ u ( 1 ) $ symmetry. the feature of soft supersymmetry breaking scalar masses and some phenomenological implications are discussed. we show that it is, in general, difficult to keep the degeneracy and the positivity of squared soft scalar ma... | arxiv:hep-ph/9601365 |
the stable reduction theorem says that a family of curves of genus $ g \ geq 2 $ over a punctured curve can be uniquely completed ( after possible base change ) by inserting certain stable curves at the punctures. we give a new proof of this result for curves defined over $ \ mathbb { c } $ using the k \ " ahler - eins... | arxiv:2009.13596 |
a large body of spectroscopic data on the cuprate high temperature superconductors ( chtsc ) is reviewed in order to determine their order parameter. asj, ins, b2g raman spectra, optical data, nis " dips ", arpes " dips " and arpes " kinks " all show the same excitation energy ( 40 mev for op95 systems ), proportional ... | arxiv:0911.0827 |
a vision transformer ( vit ) is the dominant model in the computer vision field. despite numerous studies that mainly focus on dealing with inductive bias and complexity, there remains the problem of finding better transformer networks. for example, conventional transformer - based models usually use a projection layer... | arxiv:2111.10017 |
context : the superrotation phenomenon in the atmosphere on venus has been known since the late 60 ' s. but until now no mechanism proposed has satisfactorily explained this phenomenon. objective : the aim of this research is to propose a mechanism, until now never considered, which could drive the atmosphere of venus ... | arxiv:1005.3488 |
symbiotic radio has emerged as a promising technology for spectrum - and energy - efficient wireless communications, where the passive secondary backscatter devices ( bds ) reuse not only the spectrum but also the power of the active primary users to transmit their own information. in return, the primary communication ... | arxiv:2206.13203 |
compressed sensing magnetic resonance imaging ( cs - mri ) seeks to recover visual information from subsampled measurements for diagnostic tasks. traditional cs - mri methods often separately address measurement subsampling, image reconstruction, and task prediction, resulting in a suboptimal end - to - end performance... | arxiv:2304.12507 |
graph - based semi - supervised node classification has been shown to become a state - of - the - art approach in many applications with high research value and significance. most existing methods are only based on the original intrinsic or artificially established graph structure which may not accurately reflect the "... | arxiv:2306.04214 |
we investigate the transition probability of a unruh - dewitt particle detector evolving in flat space and in a wormhole spacetime, in various scenarios. in minkowski space, we look at the response of the detector on trajectories having discontinuities and rapid variations, as well as the effect of finite - time coupli... | arxiv:1705.00890 |
in this paper, we determine the homotopy type of the morse complex and matching complex of multiple families of complexes by utilizing star cluster collapses and the cluster lemma. we compute the homotopy type of the morse complex of an extended notion of a star graph, as well as the homotopy type of the matching compl... | arxiv:2207.13780 |
the experiments presented aim to measure the outcome of collisions between sub - mm sized protoplanetary dust aggregate analogues. we also observed the clusters formed from these aggregates and their collision behaviour. the experiments were performed at the drop tower in bremen. the protoplanetary dust analogue materi... | arxiv:1706.07512 |
this paper adduces a novel definition of regulatory enterprise information governance as a strategic framework that acts through control mechanisms designed to assure accountability in managing decision rights over information and data assets in organizations. this new pragmatic definition takes the perspectives of bot... | arxiv:2409.14388 |
functioning is gaining recognition as an important indicator of global health, but remains under - studied in medical natural language processing research. we present the first analysis of automatically extracting descriptions of patient mobility, using a recently - developed dataset of free text electronic health reco... | arxiv:1806.02814 |
this work derives bounds on the jamming capacity of a slotted aloha system. a system with n legitimate users, each with a bernoulli arrival process is considered. packets are temporarily stored at the corresponding user queues, and a slotted aloha strategy is used for packet transmissions over the shared channel. the s... | arxiv:0808.0558 |
we calculate the second and third virial coefficients of the effective sphere - sphere interaction due to polymer depletion. by utilizing the anisotropy of a typical polymer conformation, we can consider polymers that are roughly the same size as the spherical inclusions. we argue that recent experiments can confirm th... | arxiv:cond-mat/9810234 |
a spin - singlet ground state with a spin gap has been discovered in antiferromagnetic spin chain substances when the spin value is 1 / 2, 1 or 2. to find spin gap ( singlet - triplet ) excitations in spin - 3 / 2 chain substances, we performed inelastic neutron scattering and magnetization measurements on { \ it r } c... | arxiv:1404.6297 |
the galactic center ( gc ) provides a unique laboratory for a detailed examination of the interplay between massive star formation and the nuclear environment of our galaxy. here, we present an 100 ks chandra acis observation of the arches and quintuplet star clusters. we also report on a complementary mapping of the d... | arxiv:astro-ph/0606282 |
the atomic and magnetic structures of ( cu $ x $ ) lanb $ _ 2 $ o $ _ 7 $ ( $ x $ = cl and br ) are investigated using the density - functional calculations. among several dozens of examined structures, an orthorhombic distorted $ 2 \ times 2 $ structure, in which the displacement pattern of $ x $ halogens resembles th... | arxiv:0911.2989 |
matteo ricci carried mathematical ideas back and forth between the two cultures from the 16th to 18th centuries, though at this point far more mathematical ideas were entering china than leaving. japanese mathematics, korean mathematics, and vietnamese mathematics are traditionally viewed as stemming from chinese mathe... | https://en.wikipedia.org/wiki/History_of_mathematics |
despite the fact that pulsars have been observed for almost half a century, many questions have remained unanswered. we use the analysis of x - ray observations in order to study the polar cap region of radio pulsars. the size of the hot spots implies that the magnetic field configuration just above the stellar surface... | arxiv:1304.4203 |
signal processing has become central to many fields, from coherent optical telecommunications, where it is used to compensate signal impairments, to video image processing. image processing is particularly important for observational astronomy, medical diagnosis, autonomous driving, big data and artificial intelligence... | arxiv:2401.07197 |
let $ \ mathcal { c } $ be a permutation class that does not contain all layered permutations or all colayered permutations. we prove that there is a constant $ c $ such that every permutation in $ \ mathcal { c } $ of length $ n $ contains a monotone subsequence of length $ cn $. | arxiv:1511.01076 |
large language models ( llms ) hold promise as dynamic instructional aids. yet, it remains unclear whether llms can replicate the adaptivity of intelligent tutoring systems ( its ) - - where student knowledge and pedagogical strategies are explicitly modeled. we propose a prompt variation framework to assess llm - gene... | arxiv:2504.05570 |
the ejected mass distribution of type ia supernovae directly probes progenitor evolutionary history and explosion mechanisms, with implications for their use as cosmological probes. although the chandrasekhar mass is a natural mass scale for the explosion of white dwarfs as type ia supernovae, models allowing type ia s... | arxiv:1408.6601 |
in constructing the $ \ mathcal { h } ^ 2 $ representation of dense matrices defined by the laplace kernel, the interpolative decomposition of certain off - diagonal submatrices that dominates the computation can be dramatically accelerated using the concept of a proxy surface. we refer to the computation of such inter... | arxiv:1811.00131 |
telepresence technology aims to provide an immersive virtual presence for remote conference applications, and it is extremely important to synthesize high - quality binaural audio signals for this aim. because the ambient noise is often inevitable in practical application scenarios, it is highly desired that binaural a... | arxiv:2410.05739 |
we consider the challenge of finding a deterministic policy for a markov decision process that uniformly ( in all states ) maximizes one reward subject to a probabilistic constraint over a different reward. existing solutions do not fully address our precise problem definition, which nevertheless arises naturally in th... | arxiv:2201.07958 |
we discuss the bound states of the massive thirring model. here, the periodic boundary condition equations for the bethe ansatz solutions are numerically solved. it is found that the massive thirring model has only one bound state and the bound state spectrum as the function of the coupling constant agrees with that of... | arxiv:hep-th/9609224 |
quantum machine learning is among the most exciting potential applications of quantum computing. however, the vulnerability of quantum information to environmental noises and the consequent high cost for realizing fault tolerance has impeded the quantum models from learning complex datasets. here, we introduce adaboost... | arxiv:2503.11047 |
. c. c poset q such that in the generic extension $ v ^ q $ we have $ ord _ l ( x ) = \ omega _ 1 \ cdot \ omega $. however, if $ x $ is a topological space and $ q $ is a c. c. c poset such that in in the generic extension $ v ^ q $ we have $ ord _ l ( x ) < \ omega _ 1 \ cdot \ omega $ then x is left - separated even... | arxiv:1609.09695 |
large - scale pretrained models such as lxmert are becoming popular for learning cross - modal representations on text - image pairs for vision - language tasks. according to the lottery ticket hypothesis, nlp and computer vision models contain smaller subnetworks capable of being trained in isolation to full performan... | arxiv:2310.15325 |
we present a monte carlo study of the fortuin - kasteleyn ( fk ) clusters of the ising model on the square ( 2d ) and simple - cubic ( 3d ) lattices. the wrapping probability, a dimensionless quantity characterizing the topology of the fk clusters on a torus, is found to suffer from smaller finite - size corrections th... | arxiv:1811.03358 |
the project consists to determine, mathematically, the trajectory that will take an artificial satellite to fight against the air resistance. during our work, we had to consider that our satellite will crash to the surface of our planet. we started our study by understanding the system of forces that are acting between... | arxiv:1101.0326 |
we study the separability of symmetric bipartite quantum states and show that a single correlation measurement is sufficient to detect the entanglement of any bipartite symmetric state with a non - positive partial transpose. we also discuss entanglement conditions and entanglement witnesses for states with a positive ... | arxiv:0908.3679 |
we study the approximation of the spectrum of a second - order elliptic differential operator by the hybrid high - order ( hho ) method. the hho method is formulated using cell and face unknowns which are polynomials of some degree $ k \ geq0 $. the key idea for the discrete eigenvalue problem is to introduce a discret... | arxiv:1711.01135 |
we present the magnetic and structural properties of [ cu ( pyrazine ) $ _ { 0. 5 } $ ( glycine ) ] clo $ _ 4 $ under applied pressure. as previously reported, at ambient pressure this material consists of quasi - two - dimensional layers of weakly coupled antiferromagnetic dimers which undergo bose - einstein condensa... | arxiv:2308.12671 |
we prove that the following problem is co - re - complete and thus undecidable : given three simple polygons, is there a tiling of the plane where every tile is an isometry of one of the three polygons ( either allowing or forbidding reflections )? this result improves on the best previous construction which requires f... | arxiv:2409.11582 |
we present preliminary results from the 1991 hemcgc simulations with staggered dynamical fermions on a $ 16 ^ 3 \ times 32 $ lattice at $ \ beta = 5. 6 $ with sea quark masses $ am _ q = 0. 025 $ and 0. 01. the spectroscopy was done both for staggered valence quarks with mass equal to the sea quark masses and for wilso... | arxiv:hep-lat/9201005 |
we report an active galactic nucleus ( agn ) with extremely high equivalent width ( ew ), ew ( lya + nv, rest ) > 921 aa in the rest - frame, at z ~ 2. 24 in the hobby - eberly telescope dark energy experiment survey ( hetdex ) as a representative case of the high ew agn population. the continuum level is a non - detec... | arxiv:2210.12679 |
the lovasz local lemma ( lll ) is a powerful result in probability theory that states that the probability that none of a set of bad events happens is nonzero if the probability of each event is small compared to the number of events that depend on it. it is often used in combination with the probabilistic method for n... | arxiv:0908.0375 |
data sketching is a critical tool for distinct counting, enabling multisets to be represented by compact summaries that admit fast cardinality estimates. because sketches may be merged to summarize multiset unions, they are a basic building block in data warehouses. although many practical sketches for cardinality esti... | arxiv:2302.02056 |
a study of 3d pixel sensors of cell size 50 { \ mu } m x 50 { \ mu } m fabricated at imb - cnm using double - sided n - on - p 3d technology is presented. sensors were bump - bonded to the roc4sens readout chip. for the first time in such a small - pitch hybrid assembly, the sensor response to ionizing radiation in a t... | arxiv:1806.01435 |
latent force models ( lfms ) are hybrid models combining mechanistic principles with non - parametric components. in this article, we shall show how lfms can be equivalently formulated and solved using the state variable approach. we shall also show how the gaussian process prior used in lfms can be equivalently formul... | arxiv:1202.3730 |
using both the in - out formalism and the monodromy method, we study the emission of charges from near - extremal charged nariai black holes with the black hole event and cosmological horizons close to each other, whose near - horizon geometry is $ \ mathrm { ds } _ 2 \ times \ mathrm { s } ^ 2 $. the emission becomes ... | arxiv:2309.00218 |
a nonlinear oscillator model with negative time - delayed feedback is studied numeri - cally under external deterministic and stochastic forcing. it is found that in the unforced system complex partial synchronization patterns like chimera states as well as salt - and - pepper like soli - tary states arise on the route... | arxiv:1511.03634 |
many real - world applications have to tackle the positive - unlabeled ( pu ) learning problem, i. e., learning binary classifiers from a large amount of unlabeled data and a few labeled positive examples. while current state - of - the - art methods employ importance reweighting to design various risk estimators, they... | arxiv:2006.11280 |
in this paper we present an abstract nonsmooth optimization problem for which we recall existence and uniqueness results. we show a numerical scheme to approximate its solution. the theory is later applied to a sample static contact problem describing an elastic body in frictional contact with a foundation. this proble... | arxiv:2103.14518 |
relative ages for the globular cluster ( gc ) subpopulations in the virgo giant elliptical galaxy m87 ( ngc 4486 ) have been determined from stroemgren photometry obtained with wfpc2 on board hst. using a variety of population synthesis models, and assuming the gc mass at the turnover of the luminosity function is the ... | arxiv:astro-ph/0207657 |
the goal of this article is to invite the reader to get to know and to get involved into higher teichm \ " uller theory by describing some of its many facets. | arxiv:1803.06870 |
principal component analysis ( pca ) is a ubiquitous tool with many applications in machine learning including feature construction, subspace embedding, and outlier detection. in this paper, we present an algorithm for computing the top principal components of a dataset with a large number of rows ( examples ) and colu... | arxiv:1310.6304 |
quantized or low - bit neural networks are attractive due to their inference efficiency. however, training deep neural networks with quantized activations involves minimizing a discontinuous and piecewise constant loss function. such a loss function has zero gradients almost everywhere ( a. e. ), which makes the conven... | arxiv:2011.11256 |
we efficiently treat bilinear forms in the context of global optimization, by applying mccormick convexification and by extending an approach of saxena, bonami and lee for symmetric quadratic forms to bilinear forms. a key application of our work is in treating " structural convexity " in a symmetric quadratic form. | arxiv:1803.07625 |
we explore the concept of metastability in random dynamical systems, focussing on connections between random perron - frobenius operator cocycles and escape rates of random maps, and on topological entropy of random shifts of finite type. the lyapunov spectrum of the random perron - frobenius cocycle and the random adj... | arxiv:1106.1954 |
in the realm of artificial intelligence generated content ( aigc ), flow - matching models have emerged as a powerhouse, achieving success due to their robust theoretical underpinnings and solid ability for large - scale generative modeling. these models have demonstrated state - of - the - art performance, but their b... | arxiv:2410.19310 |
backscatter radio is a promising technology for low - cost and low - power internet - of - things ( iot ) networks. the conventional monostatic backscatter radio is constrained by its limited communication range, which restricts its utility in wide - area applications. an alternative bi - static backscatter radio archi... | arxiv:2412.06732 |
let $ n $ be a positive integer and $ \ alpha _ n $ be the arithmetic function which assigns the multiplicative order of $ a ^ n $ modulo $ n $ to every integer $ a $ coprime to $ n $ and vanishes elsewhere. similarly, let $ \ beta _ n $ assign the projective multiplicative order of $ a ^ n $ modulo $ n $ to every inte... | arxiv:0902.4366 |
we establish global existence in 3 + 1 dimensions of small - amplitude solutions of quasilinear dirichlet - wave equations satisfying the null condition outside of star - shapped obstacles. | arxiv:math/0009237 |
safety is a critical issue in learning - based robotic and autonomous systems as learned information about their environments is often unreliable and inaccurate. in this paper, we propose a risk - aware motion control tool that is robust against errors in learned distributional information about obstacles moving with u... | arxiv:2003.02532 |
pentaquark baryons are a natural expectation of an extended picture of hadrons where quarks and diquarks are the fundamental units. the parity / mass pattern observed, when compared to that of exotic mesons, appears as the footprint of a compact five - quark structure. what has been learned from the x, y, z phenomenolo... | arxiv:1507.04980 |
asteroseismology has been proven to be a successful tool to unravel details of the internal structure for different types of stars in various stages of their main sequence and post - main sequence evolution. recently, we found a relation between the detected pulsation properties in a sample of 34 pre - main sequence ( ... | arxiv:1411.0637 |
given an inner model $ w \ subset v $ and a regular cardinal $ \ kappa $, we consider two alternatives for adding a subset to $ \ kappa $ by forcing : the cohen poset $ add ( \ kappa, 1 ) $, and the cohen poset of the inner model $ add ( \ kappa, 1 ) ^ w $. the forcing from $ w $ will be at least as strong as the forci... | arxiv:1809.10092 |
phase behaviours of liquid crystals under external fields, conjugate to the nematic order and smectic order, are studied within the framework of mean field approximation developed by mcmillan. it is found that phase diagrams, of temperature vs interaction parameter of smectic a order, show several topologically differe... | arxiv:cond-mat/0407545 |
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