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recommender systems usually learn user interests from various user behaviors, including clicks and post - click behaviors ( e. g., like and favorite ). however, these behaviors inevitably exhibit popularity bias, leading to some unfairness issues : 1 ) for items with similar quality, more popular ones get more exposure... | arxiv:2209.04589 |
, or provide detailed specifications for an object. with the goals of legibility and uniformity, styles are standardized and lettering ability has little relationship to normal writing ability. engineering drawings use a gothic sans - serif script, formed by a series of short strokes. lower case letters are rare in mos... | https://en.wikipedia.org/wiki/Engineering_drawing |
in this paper, we present uformer, an effective and efficient transformer - based architecture for image restoration, in which we build a hierarchical encoder - decoder network using the transformer block. in uformer, there are two core designs. first, we introduce a novel locally - enhanced window ( lewin ) transforme... | arxiv:2106.03106 |
a key ingredient in understanding the dynamics of stellar outflows is their proper motion. we have used optical images in the [ sii ] emission at 6717 / 31 a and the red digitized palomar observatory sky survey ( dss ) plates to determine the proper motion of hh 7 - 11 system and the optical knot of cep e ( hh 377 ). t... | arxiv:astro-ph/0109500 |
we construct and study an extended random matrix model of rna ( polymer ) folding. a perturbation which acts on all the nucleotides in the chain is added to the action of the rna partition function. the effect of this perturbation on the partition function and the genus distributions is studied. this perturbation disti... | arxiv:0802.2440 |
while reduction in feature size makes computation cheaper in terms of latency, area, and power consumption, performance of emerging data - intensive applications is determined by data movement. these trends have introduced the concept of scalability as reaching a desirable performance per unit cost by using as few numb... | arxiv:1803.06068 |
the dueling bandit problem, an essential variation of the traditional multi - armed bandit problem, has become significantly prominent recently due to its broad applications in online advertising, recommendation systems, information retrieval, and more. however, in many real - world applications, the feedback for actio... | arxiv:2408.14603 |
in this paper, replacing ` equality ' by ' equality almost everywhere ' we modify several terms associated with the ring of measurable functions defined on a measure space $ ( x, \ mathcal { a }, \ mu ) $ and thereby study the graph theoretic features of the modified comaximal graph, annihilator graph and the weakly ze... | arxiv:2307.02492 |
most protostars have luminosities that are fainter than expected from steady accretion over the protostellar lifetime. the solution to this problem may lie in episodic mass accretion - - prolonged periods of very low accretion punctuated by short bursts of rapid accretion. however, the timescale and amplitude for varia... | arxiv:1709.02052 |
in this note, we give an elementary proof of the lack of null controllability for the heat equation on the half line by employing the machinery inherited by the unified transform, known also as the fokas method. this approach also extends in a uniform way to higher dimensions and different initial - boundary value prob... | arxiv:1908.11579 |
long - slit observations of the blue compact galaxy haro 2 have been performed to detect the halpha emission originating in the partially ionized wind outflowing at 200 km / s, that had been previously detected with the hubble space telescope. a shallow broadening of the halpha line wings has been observed, consistent ... | arxiv:astro-ph/9706109 |
crystal surfaces are sensitive to the surrounding environment, where atoms left with broken bonds reconstruct to minimize surface energy. in many cases, the surface can exhibit chemical properties unique from the bulk. these differences are important as they control reactions and mediate thin film growth. this is parti... | arxiv:1606.01224 |
proof assistants are software - based tools that are used in the mechanization of proof construction and validation in mathematics and computer science, and also in certified program development. different tools are being increasingly used in order to accelerate and simplify proof checking. context - free language theo... | arxiv:1505.00061 |
the changes in the optical transmission of thin vanadium layers upon hydrogen absorption are found to be dominated by the volume changes of the layers and not directly linked to concentration. this effect is demonstrated by utilising the difference in the hydrogen induced expansion of v layers in fe / v and cr / v supe... | arxiv:1812.04917 |
the constrained hamiltonian systems admitting no gauge conditions are considered. the methods to deal with such systems are discussed and developed. as a concrete application, the relationship between the dirac and reduced phase space quantizations is investigated for spin models belonging to the class of systems under... | arxiv:hep-th/9306017 |
we explore the new technique developed recently in \ cite { rosenhaus : 2014woa } and suggest a correspondence between the $ n $ - point correlation functions on spacetime with conical defects and the $ ( n + 1 ) $ - point correlation functions in regular minkowski spacetime. this correspondence suggests a new systemat... | arxiv:1406.2512 |
understanding expressions that refer to the physical world is crucial for such human - assisting systems in the real world, as robots that must perform actions that are expected by users. in real - world reference resolution, a system must ground the verbal information that appears in user interactions to the visual in... | arxiv:2403.19259 |
the cross or soft anomalous dimension matrix describes the renormalization of wilson loops with a self - intersection and is an important object in the study of infrared divergences of scattering amplitudes. in this paper it is studied for the maldacena - - wilson loop in n = 4 supersymmetric yang - - mills theory and ... | arxiv:1805.06448 |
in traditional thermodynamical and statistical - mechanical approaches one has ( some ) detailed knowledge of the principles governing the microdynamics of a system. however in many instances we may not have a hamiltonian or good information about the degrees of freedom ( or, in a roughly complementary sense, the redun... | arxiv:cond-mat/0402325 |
the existence of coherent quasiparticles near the fermi energy in the low temperature state of high - temperature superconductors has been well established by angle - resolved photoemission spectroscopy ( arpes ). this technique directly probes the momentum - resolved electronic excitation spectrum of the cuo $ _ 2 $ p... | arxiv:cond-mat/0610880 |
software defects heavily affect software ' s functionalities and may cause huge losses. recently, many ai - based approaches have been proposed to detect defects, which can be divided into two categories : software defect prediction and automatic unit test generation. while these approaches have made great progress in ... | arxiv:2412.00828 |
earliest known treatise on sanskrit prosody. he also presents a numerical system by adding one to the sum of place values. pingala ' s work also includes material related to the fibonacci numbers, called matrameru. indian astronomer and mathematician aryabhata ( 476 β 550 ), in his aryabhatiya ( 499 ) introduced the si... | https://en.wikipedia.org/wiki/History_of_science |
ultra - reliable and low - latency communications ( urllc ) partakes a major role in 5g networks for mission - critical applications. sparse vector coding ( svc ) appears as a strong candidate for future urllc networks by enabling superior performance in terms of bit error rate ( ber ). svc exploits the virtual digital... | arxiv:2004.08330 |
understanding and modeling the popularity of user generated content ( ugc ) short videos on social media platforms presents a critical challenge with broad implications for content creators and recommendation systems. this study delves deep into the intricacies of predicting engagement for newly published videos with l... | arxiv:2410.00289 |
a random hash function $ h $ is $ \ varepsilon $ - minwise if for any set $ s $, $ | s | = n $, and element $ x \ in s $, $ \ pr [ h ( x ) = \ min h ( s ) ] = ( 1 \ pm \ varepsilon ) / n $. minwise hash functions with low bias $ \ varepsilon $ have widespread applications within similarity estimation. hashing from a un... | arxiv:1404.6724 |
with the increasing availability of optical and synthetic aperture radar ( sar ) images thanks to the sentinel constellation, and the explosion of deep learning, new methods have emerged in recent years to tackle the reconstruction of optical images that are impacted by clouds. in this paper, we focus on the evaluation... | arxiv:2204.00424 |
some n β n { \ displaystyle n \ in \ mathbb { n } }. for example, the definition of a sequence of real numbers ( a n ) { \ displaystyle ( a _ { n } ) } converging to some limit a { \ displaystyle a } is : for each positive number Ξ΅ { \ displaystyle \ varepsilon }, there exists a natural number n { \ displaystyle n } su... | https://en.wikipedia.org/wiki/Eventually_(mathematics) |
it is known in thin - film deposition that the density of nucleated clusters $ n $ varies with the deposition rate $ r $ as a power law, $ n \ sim r ^ \ alpha $. the exponent $ \ alpha $ is a function of the critical nucleus size $ i $ in a way that changes with the aggregation - limiting process active in a given syst... | arxiv:1312.4412 |
the progenitor systems of type - ia supernovae ( sne ia ) are yet unknown. the collisional - triple sn ia progenitor model posits that sne ia result from head - on collisions of binary white dwarfs ( wds ), driven by dynamical perturbations by the tertiary stars in mild - hierarchical triple systems. to reproduce the g... | arxiv:1905.00032 |
replacing $ \ { 0 \ } $ by the whole ideal of infinitesimals yields a weaker notion of \ emph { archimedean element } that we call \ emph { quasiarchimedean }. it is known that semisimple mv - algebras with compact maximal spectrum ( in the co - zarisky topology ) are exactly the hyperarchimedean algebras. we character... | arxiv:1602.05204 |
##2 miiii β3 mui β2 muiui β1 muiuiu β2 muiuiuuiuiu β4 muiuiiuiu β... in light of this, one might wonder whether it is possible to convert mi into mu, using only these four transformation rules. one could spend many hours applying these transformation rules to strings. however, it might be quicker to find a property tha... | https://en.wikipedia.org/wiki/Invariant_(mathematics) |
we study integrable models for electrons in metals when the single particle spectrum is discrete. the electron - electron interactions are bcs - like pairing, coulomb repulsion, and spin exchange coupling. these couplings are, in general, nonuniform in the sense that they depend on the levels occupied by the interactin... | arxiv:cond-mat/0105537 |
blockchain programs ( also known as smart contracts ) manage valuable assets like cryptocurrencies and tokens, and implement protocols in domains like decentralized finance ( defi ) and supply - chain management. these types of applications require a high level of security that is hard to achieve due to the transparenc... | arxiv:2303.10517 |
we investigate the validity of the phragm \ ` en - lindel \ " of principle for a class of elliptic equations with a potential, posed on infinite graphs. consequently, we get uniqueness, in the class of solutions satisfying a suitable growth condition at infinity. we suppose that the { \ it outer degree ( or outer curva... | arxiv:2406.06505 |
a canonical formulation of the n = 1 supergravity theory containing the topological nieh - yan term in its lagrangian density is developed. the constraints are analysed without choosing any gauge. in the time gauge, the theory is shown to be described in terms of real su ( 2 ) variables. | arxiv:0909.4850 |
we discuss several implications of r ^ 4 couplings in m theory when compactified on calabi - yau ( cy ) manifolds. in particular, these couplings can be predicted by supersymmetry from the mixed gauge - gravitational chern - simons couplings in five dimensions and are related to the one - loop holomorphic anomaly in fo... | arxiv:hep-th/9707013 |
the present short note is simply intended to communicate that i have analytically diagonalized the bogoliubov truncated hamiltonian $ h _ c $ ~ \ cite { bogo1, bogo2 }, in an interacting bosonic gas. this is the natural prosecution of my work ~ \ cite { ms }, now denoted as ( i ), where the diagonalization was performe... | arxiv:1610.07168 |
in this short note we prove an analogue of auslander correspondence for exact dg categories whose $ h ^ 0 $ - category is $ 0 $ - auslander in the sense of gorsky - - nakaoka - - palu. | arxiv:2306.15958 |
federated learning ( fl ) serves as a data privacy - preserved machine learning paradigm, and realizes the collaborative model trained by distributed clients. to accomplish an fl task, the task publisher needs to pay financial incentives to the fl server and fl server offloads the task to the contributing fl clients. i... | arxiv:2108.05568 |
the galactose network is a complex system responsible for galactose metabolism. it has been extensively studied experimentally and mathematically at the unicellular level to broaden our understanding of its regulatory mechanisms at higher order species. although the key molecular players involved in the metabolic and r... | arxiv:1602.03862 |
recent observations suggest that dense gas clouds can survive even in hot galactic winds. here we show that the inclusion of turbulent densities with different statistical properties has significant effects on the evolution of wind - swept clouds. we investigate how the initial standard deviation of the log - normal de... | arxiv:1901.06924 |
we parametrise the gauge - invariant ideals of the toeplitz - nica - pimsner algebra of a strong compactly aligned product system over $ \ mathbb { z } _ + ^ d $ by using $ 2 ^ d $ - tuples of ideals of the coefficient algebra that are invariant, partially ordered, and maximal. we give an algebraic characterisation of ... | arxiv:2310.04175 |
a discrete laplace transform and its inversion formula are obtained by using a quadrature of the continuous fourier transform which is given in terms of hermite polynomials and its zeros. this approach yields a convergent discrete formula for the two - sided laplace transform if the function to be transformed falls off... | arxiv:0704.2842 |
we study the island universe model, in which initially the universe is in a cosmological constant sea, then the local quantum fluctuations violating the null energy condition create the islands of matter, some of which might corresponds to our observable universe. we examine the possibility that the island universe mod... | arxiv:astro-ph/0506072 |
we study the existence of solutions to the equation $ - \ gd _ pu + g ( x, u ) = \ mu $ when $ g ( x,. ) $ is a nondecreasing function and $ \ gm $ a measure. we characterize the good measures, i. e. the ones for which the problem as a renormalized solution. we study particularly the cases where $ g ( x, u ) = \ abs x ... | arxiv:1212.6314 |
the unification of quantum mechanics and gravity remains as one of the primary challenges of present - day physics. quantum - gravity - inspired phenomenological models offer a window to explore potential aspects of quantum gravity including qualitatively new behaviour that can be experimentally tested. one such phenom... | arxiv:1610.06796 |
in the field of fault - tolerant quantum computing, continuous - variable systems can be utilized to protect quantum information from noise through the use of bosonic codes. these codes map qubit - type quantum information onto the larger bosonic hilbert space, and can be divided into two main categories : translationa... | arxiv:2301.10030 |
for many physical systems the transition from a stationary solution to sustained small amplitude oscillations corresponds to a hopf bifurcation. for systems involving impacts, thresholds, switches, or other abrupt events, however, this transition can be achieved in fundamentally different ways. this paper reviews 20 su... | arxiv:1905.01329 |
we demonstrate, for the first time, experimental over - the - fiber training of transmitter neural networks ( nns ) using reinforcement learning. optical back - to - back training of a novel nn - based digital predistorter outperforms arcsine - based predistortion with up to 60 \ % bit - error - rate reduction. | arxiv:2106.04934 |
a subcomplex $ \ mathcal { x } $ of a cell complex $ \ mathcal { c } $ is called \ emph { rigid } with respect to another cell complex $ \ mathcal { c } ' $ if every injective simplicial map $ \ lambda : \ mathcal { x } \ rightarrow \ mathcal { c } ' $ has a unique extension to an injective simplicial map $ \ phi : \ m... | arxiv:2310.04211 |
we investigate high - harmonic generation in graphene heterostructures consisting of metallic nanoribbons separated from a graphene sheet by either a few - nanometer layer of aluminum oxide or an atomic monolayer of hexagonal boron nitride. the nanoribbons amplify the near - field at the graphene layer relative to the ... | arxiv:2203.14644 |
we have produced a quantum degenerate li - 6 fermi gas with up to 7 x 10 ^ 7 atoms, an improvement by a factor of fifty over all previous experiments with degenerate fermi gases. this was achieved by sympathetic cooling with bosonic na - 23 in the f = 2, upper hyperfine ground state. we have also achieved bose - einste... | arxiv:cond-mat/0306050 |
we obtain the classification of certain global bounded solutions for semilinear nonlocal equations of the type $ $ \ triangle ^ s u = w ' ( u ) $ $ in $ \ mathbb { r } ^ n $, with $ s \ in ( 1 / 2, 1 ), $ where $ w $ is a double well potential. | arxiv:1610.09295 |
the intention of the paper is to move a step towards a classification of network topologies that exhibit periodic quantum dynamics. we show that the evolution of a quantum system, whose hamiltonian is identical to the adjacency matrix of a circulant graph, is periodic if and only if all eigenvalues of the graph are int... | arxiv:quant-ph/0703236 |
we study the free energy of the pure glue qcd string with a torus target space and the gauge groups $ su ( n ) $ and ( chiral ) $ u ( n ) $. it is highly constrained by a strong / weak gauge coupling duality which results in modular covariance. the string free energy is computed exactly in terms of modular forms for wo... | arxiv:hep-th/9407176 |
we develop renormalization group methods for solving partial and stochastic differential equations on coarse meshes. renormalization group transformations are used to calculate the precise effect of small scale dynamics on the dynamics at the mesh size. the fixed point of these transformations yields a perfect operator... | arxiv:cond-mat/0009449 |
large differences between the properties of the known sample of cataclysmic variable stars ( cvs ) and the predictions of the theory of binary star evolution have long been recognised. however, because all existing cv samples suffer from strong selection effects, observational biases must be taken into account before i... | arxiv:astro-ph/0610278 |
neural networks have been proposed as efficient numerical wavefunction ansatze which can be used to variationally search a wide range of functional forms for ground state solutions. these neural network methods are also advantageous in that more variational parameters and system degrees of freedom can be easily added. ... | arxiv:2309.02352 |
layer - wise relevance propagation is a framework which allows to decompose the prediction of a deep neural network computed over a sample, e. g. an image, down to relevance scores for the single input dimensions of the sample such as subpixels of an image. while this approach can be applied directly to generalized lin... | arxiv:1604.00825 |
we explore the relation between colour and specific star formation rate ( derived from optical spectra obtained by sdss dr4 ) of over 6, 000 galaxies ( m _ r < = - 20. 5 ) in and around low redshift ( z < 0. 12 ) clusters. even though most red galaxies have little or no ongoing star formation, and most blue galaxies ar... | arxiv:0908.2434 |
using the qcd sum rule approach we investigate the possible four - quark structure of the recently observed charmed scalar mesons $ d _ 0 ^ { 0 } ( 2308 ) $ ( belle ) and $ d _ 0 ^ { 0, + } ( 2405 ) $ ( focus ) and also of the very narrow $ d _ { sj } ^ { + } ( 2317 ) $, firstly observed by babar. we use diquak - antid... | arxiv:hep-ph/0509131 |
current soft prompt methods yield limited performance when applied to small - sized models ( fewer than a billion parameters ). deep prompt - tuning, which entails prepending parameters in each layer for enhanced efficacy, presents a solution for prompting small - sized models, albeit requiring carefully designed imple... | arxiv:2404.01242 |
automatic differentiation, also known as backpropagation, ad, autodiff, or algorithmic differentiation, is a popular technique for computing derivatives of computer programs accurately and efficiently. sometimes, however, the derivatives computed by ad could be interpreted as incorrect. these pitfalls occur systematica... | arxiv:2305.07546 |
the work presented in this paper is part of a global framework which long term goal is to design a wireless sensor network able to support the observation of a population of endangered birds. we present the first stage for which we have conducted a knowledge discovery approach on a sample of acoustical data. we use mfc... | arxiv:1306.5349 |
we develop pieri type as well as murnaghan - - nakayama type formulas for equivariant chern - - schwartz - - macpherson classes of schubert cells in the classical flag variety. these formulas include as special cases many previously known multiplication formulas for chern - - schwartz - - macpherson classes or schubert... | arxiv:2211.06802 |
we define an operation of jets on graphs inspired by the corresponding notion in commutative algebra and algebraic geometry. we examine a few graph theoretic properties and invariants of this construction, including chromatic numbers, co - chordality, and vertex covers. | arxiv:2104.08933 |
we use the rosat public data archive to study the x - ray emission of a sample of supposedly single a0 - f6 spectral type stars from the bright star catalogue. we detected x - ray emission from 19 a and 33 f - type stars. however, our results are not sufficient to associate with certainty the x - ray emission to the a ... | arxiv:astro-ph/9906221 |
in the pioneer 100 ( p100 ) wellness project ( price and others, 2017 ), multiple types of data are collected on a single set of healthy participants at multiple timepoints in order to characterize and optimize wellness. one way to do this is to identify clusters, or subgroups, among the participants, and then to tailo... | arxiv:1901.03905 |
we have determined chemical abundances and radial velocities for stars in the field of the zeta sculptoris cluster. we find that the cluster metal deficiency previously found from ubv photometry is too high ; the cluster overall metallicity, [ fe / h ] = + 0. 24, is about 70 % higher than the solar value. the chemical ... | arxiv:astro-ph/9405068 |
we show, by explicit computation, that bare lattice perturbation theory in the two - dimensional o ( n ) nonlinear $ \ sigma $ models with superinstanton boundary conditions is divergent in the limit of an infinite number of points $ | \ lambda | $. this is the analogue of david ' s statement that renormalized perturba... | arxiv:hep-lat/9612002 |
given a non - maximally entangled state, an operationally significant question is to quantitatively assess as to what extent the state is away from the maximally entangled state, which is of importance in evaluating the efficacy of the state for its various uses as a resource. it is this question which is examined in t... | arxiv:1907.09268 |
in this paper, we prove various radius results and obtain sufficient conditions using the convolution for the ma - minda classes $ \ mathcal { s } ^ * ( \ psi ) $ and $ \ mathcal { c } ( \ psi ) $ of starlike and convex analytic functions. we also obtain the bohr radius for the class $ s _ { f } ( \ psi ) : = \ { g ( z... | arxiv:2106.04962 |
in this paper, we develop an efficient multi - scale network to predict action classes in partial videos in an end - to - end manner. unlike most existing methods with offline feature generation, our method directly takes frames as input and further models motion evolution on two different temporal scales. therefore, w... | arxiv:2301.01216 |
iterative learning control ( ilc ) is a control strategy for repetitive tasks wherein information from previous runs is leveraged to improve future performance. optimization - based ilc ( ob - ilc ) is a powerful design framework for constrained ilc where measurements from the process are integrated into an optimizatio... | arxiv:2203.05291 |
we present high - resolution infrared spectra of four ysos ( t tau n, t tau s, rno 91, and hl tau ). the spectra exhibit narrow absorption lines of 12co, 13co, and c18o as well as broad emission lines of gas phase12co. the narrow absorption lines of co are shown to originate from the colder circumstellar gas. we find t... | arxiv:astro-ph/0603035 |
open - vocabulary semantic segmentation aims to segment an image into semantic regions according to text descriptions, which may not have been seen during training. recent two - stage methods first generate class - agnostic mask proposals and then leverage pre - trained vision - language models, e. g., clip, to classif... | arxiv:2210.04150 |
what makes economic and ecological networks so unlike other highly skewed networks in their tendency toward turbulence and collapse? here, we explore the consequences of a defining feature of these networks : their nodes are tied together by flow. we show that flow networks tend to the power law degree distribution ( p... | arxiv:1308.0726 |
rapidly growing population against a limited amount of land meant diminishing returns to labour. the result, he claimed, was chronically low wages, which prevented the standard of living for most of the population from rising above the subsistence level. economist julian simon has criticised malthus ' s conclusions. wh... | https://en.wikipedia.org/wiki/Economics |
the proton spin structure is not understood yet and there has remained large uncertainty on delta g, the gluon spin contribution to the proton. double helicity asymmetry ( a _ ll ) of pi0 production in polarized pp collisions is used to constrain delta g. in this report, preliminary results of a _ ll of pi0 in pp colli... | arxiv:0704.1369 |
we consider the stationary keller - segel equation \ begin { equation * } \ begin { cases } - \ delta v + v = \ lambda e ^ v, \ quad v > 0 \ quad & \ text { in } \ omega, \ \ \ partial _ \ nu v = 0 & \ text { on } \ partial \ omega, \ end { cases } \ end { equation * } where $ \ omega $ is a ball. in the regime $ \ lam... | arxiv:1603.07374 |
in software development process we come across various modules. which raise the idea of priority of the different modules of a software so that important modules are tested on preference. this approach is desirable because it is not possible to test each module regressively due to time and cost constraints. this paper ... | arxiv:0904.2769 |
the peak - background split argument is commonly used to relate the abundance of dark matter halos to their spatial clustering. testing this argument requires an accurate determination of the halo mass function. we present a maximum likelihood method for fitting parametric functional forms to halo abundances which diff... | arxiv:0906.1314 |
we construct the effective field theory ( eft ) of the teleparallel equivalent of general relativity ( tegr ). firstly, we present the necessary field redefinitions of the scalar field and the tetrads. then we provide all the terms at next - to - leading - order, containing the torsion tensor and its derivatives, and d... | arxiv:2211.11420 |
under the common theme of splitting of operations, the notions of ( tri ) dendriform algebras, pre - lie algebras and post - lie algebras have attracted sustained attention with broad applications. an important aspect of their studies is as the derived structures of rota - baxter operators on associative or lie algebra... | arxiv:2412.08001 |
adversarial examples are a widely studied phenomenon in machine learning models. while most of the attention has been focused on neural networks, other practical models also suffer from this issue. in this work, we propose an algorithm for evaluating the adversarial robustness of $ k $ - nearest neighbor classification... | arxiv:2011.09719 |
we consider voter dynamics on a directed adaptive network with fixed out - degree distribution. a transition between an active phase and a fragmented phase is observed. this transition is similar to the undirected case if the networks are sufficiently dense and have a narrow out - degree distribution. however, if a sig... | arxiv:1110.1336 |
the initial techniques developed in euclid ' s elements, well before the use of the parallel postulate, are reexamined in order to clarify even the most obscure details, particularly those related to equality, superposition and angle comparison. some commentary on modern developments is included. the known but often mi... | arxiv:2501.17406 |
certificates of polynomial nonnegativity can be used to obtain tight dual bounds for polynomial optimization problems. we consider sums of nonnegative circuit ( sonc ) polynomials certificates, which are well suited for sparse problems since the computational cost depends only on the number of terms in the polynomials ... | arxiv:2211.05518 |
even though auto - encoders ( aes ) have the desirable property of learning compact representations without labels and have been widely applied to out - of - distribution ( ood ) detection, they are generally still poorly understood and are used incorrectly in detecting outliers where the normal and abnormal distributi... | arxiv:2206.03698 |
gamma - ray bursts ( grbs ) are cosmologically distributed, very energetic and very transient sources detected in the gamma - ray domain. the identification of their x - ray and optical afterglows allowed so far the redshift measurement of 150 events, from z = 0. 01 to z = 6. 29. for about half of them, we have some kn... | arxiv:0808.2917 |
event - by - event fluctuations of the average transverse momentum of produced particles near mid - rapidity have been measured by the phenix collaboration in sqrt ( s _ nn ) = 200 gev au + au and p + p collisions at the relativistic heavy ion collider. the fluctuations are observed to be in excess of the expectation f... | arxiv:nucl-ex/0310005 |
random vector functional link ( rvfl ), a variant of single - layer feedforward neural network ( slfn ), has garnered significant attention due to its lower computational cost and robustness to overfitting. despite its advantages, the rvfl network ' s reliance on the square error loss function makes it highly sensitive... | arxiv:2410.00510 |
visual - inertial odometry ( vio ) utilizes an inertial measurement unit ( imu ) to overcome the limitations of visual odometry ( vo ). however, the vio for vehicles in large - scale outdoor environments still has some difficulties in estimating forward motion with distant features. to solve these difficulties, we prop... | arxiv:1704.07145 |
we report the discovery of an unusually red brown dwarf found in a search for high proper motion objects using wise and 2mass data. wisep j004701. 06 + 680352. 1 is moving at 0. 44 $ arcsec / yr and lies relatively close to the galactic plane ( b = 5. 2 degrees ). near - infrared photometry and spectroscopy reveals tha... | arxiv:1207.4012 |
this paper presents an approach for the implementation and execution of an effective requirements generation process. we achieve this goal by providing a well - defined requirements engineering model that includes verification and validation ( v & v ), and analysis. in addition, we identify focused activity objectives ... | arxiv:cs/0503004 |
event cameras provide rich signals that are suitable for motion estimation since they respond to changes in the scene. as any visual changes in the scene produce event data, it is paramount to classify the data into different motions ( i. e., motion segmentation ), which is useful for various tasks such as object detec... | arxiv:2504.18447 |
the cafe ( census of warm - hot intergalactic medium, accretion, and feedback explorer ) and lyric ( lyman uv radiation from interstellar medium and circum - galactic medium ) have been proposed to the space agencies in china respectively. cafe was first proposed in 2015 as a joint scientific cas - esa small space miss... | arxiv:2012.07384 |
a regime - switching multivariate time series model which is closed under margins is built. the model imposes a restriction on all lower - dimensional sub - processes to follow a regime - switching process sharing the same latent regime sequence and having the same markov order as the original process. the margin - clo... | arxiv:2312.10706 |
metamaterials with an effective zero refractive index associated to their electromagnetic response are sought for a number of applications in communications and nonlinear optics. a promising way that this can be achieved in all - dielectric photonic crystals is through the design of a dirac cone at zero bloch wave - ve... | arxiv:1811.11917 |
we calculate the variation with temperature of the vortex free energy in d = 2 + 1 su ( 2 ) lattice gauge theories. we do so both above and below the deconfining transition at t = tc. we find that this quantity is zero at all t for large enough volumes. for t < tc this observation is consistent with the fact that the p... | arxiv:hep-lat/0005010 |
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