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in this paper, we present a space - and - time - synchronized control method with application to the simultaneous tracking / formation. in the framework of polar coordinates, through correlating and decoupling the reference / actual kinematics between the self vehicle and target, time and space are separated, controlle...
arxiv:2109.05162
the multi - fluid modelling of high - frequency waves in partially ionized plasmas has shown that the behavior of magnetohydrodynamics waves in the linear regime is heavily influenced by the collisional interaction between the different species that form the plasma. here, we go beyond linear theory and study large - am...
arxiv:1802.08134
the keck science community is entering an era of unprecedented change. powerful new instrument like ztf, jwst, lsst, and the elts will catalyze this change, and we must be ready to take full advantage to maintain our position of scientific leadership. the best way to do this is to continue the uc and caltech tradition ...
arxiv:1506.03458
it is argued that in the paper by a. a. garcia - diaz and g. gutierrez - cano [ phys. rev. d 100, 064068 ( 2019 ) ] on nonlinear electrodynamics coupled to general relativity, along with some interesting results and useful observations, many statements are either inaccurate or incomplete. in particular, the authors onl...
arxiv:1912.03149
datasets containing geo - spatial resources are increasingly being represented according to the linked data principles. several time - efficient approaches for discovering links between rdf resources have been developed over the last years. however, the time - efficient discovery of topological relations between geospa...
arxiv:1611.06128
startpoints ( resp. endpoints ) can be defined as " oriented fixed points ". they arise naturally in the study of fixed for multi - valued maps defined on quasi - metric spaces. in this article, we give a new result in the startpoint theory for quasi - pseudometric spaces. the result we present is obtained via a genera...
arxiv:1803.11517
the fundamental theory of the strong interaction - - quantum chromodynamics ( qcd ) - - provides the foundational framework with which to describe and understand the key properties of atomic nuclei. a deep understanding of the explicit role of quarks and gluons in nuclei remains elusive however, as these effects have t...
arxiv:1902.10572
shuffle projection is motivated by the verification of safety properties of special parameterized systems. basic definitions and properties, especially related to alphabetic homomorphisms, are presented. the relation between iterated shuffle products and shuffle projections is shown. a special class of multi - counter ...
arxiv:1503.08602
we discuss the meaning of background independence in quantum theories of gravity where geometry and gravity are emergent and illustrate the possibilities using the framework of quantum causal histories.
arxiv:gr-qc/0703097
science of team science ( scits ) is a field of scientific philosophy and methodology focused on understanding and improving cross - disciplinary collaboration in research. the field encompasses conceptual and methodological strategies to understand how scientific teams can be organized to work more effectively. scits ...
https://en.wikipedia.org/wiki/Science_of_team_science
a long - standing challenge is the design of chips resilient to faults and glitches. both fine - grained gate diversity and coarse - grained modular redundancy have been used in the past. however, these approaches have not been well - studied under other threat models where some stakeholders in the supply chain are unt...
arxiv:2409.02553
this article concerns with the existence of multiple positive solutions for the following logarithmic schr \ " { o } dinger equation $ $ \ left \ { \ begin { array } { lc } - { \ epsilon } ^ 2 \ delta u + v ( x ) u = u \ log u ^ 2, & \ mbox { in } \ quad \ mathbb { r } ^ { n }, \ \ % u ( x ) > 0, & \ mbox { in } \ quad...
arxiv:1901.10329
low - rank and sparse decompositions and robust pca ( rpca ) are highly successful techniques in image processing and have recently found use in groupwise image registration. in this paper, we investigate the drawbacks of the most common rpca - dissimi \ - larity metric in image registration and derive an improved vers...
arxiv:2001.03509
we consider a nonrelativistic quantum charged particle moving on a plane under the influence of a uniform magnetic field and driven by a periodically time - dependent aharonov - bohm flux. we observe an acceleration effect in the case when the aharonov - bohm flux depends on time as a sinusoidal function whose frequenc...
arxiv:1107.2861
the fast progress in improving the sensitivity of the gravitational - wave ( gw ) detectors, we all have witnessed in the recent years, has propelled the scientific community to the point, when quantum behaviour of such immense measurement devices as kilometer - long interferometers starts to matter. the time, when the...
arxiv:1203.1706
in this paper, we develop a novel online federated learning framework for classification, designed to handle streaming data from multiple clients while ensuring data privacy and computational efficiency. our method leverages the generalized distance - weighted discriminant technique, making it robust to both homogeneou...
arxiv:2503.15210
we employ the compressed sensing ( cs ) algorithm and a heavily reduced data set to experimentally perform true quantum process tomography ( qpt ) on an nmr quantum processor. we obtain the estimate of the process matrix $ \ chi $ corresponding to various two - and three - qubit quantum gates with a high fidelity. the ...
arxiv:2109.13189
as proven in a celebrated theorem due to vaisman, pure locally conformally k \ " ahler metrics do not exist on compact k \ " ahler manifolds. in a previous paper, we extended this result to the singular setting, more precisely to k \ " ahler spaces which are locally irreducible. without the additional assumption of loc...
arxiv:2405.04162
multi - scale 3d characterization is widely used by materials scientists to further their understanding of the relationships between microscopic structure and macroscopic function. scientific computed tomography ( ct ) instruments are one of the most popular choices for 3d non - destructive characterization of material...
arxiv:2104.08228
a shared printer or use shared storage devices. additionally, networks allow for the sharing of files and information, giving authorized users access to data stored on other computers. distributed computing leverages resources from multiple computers across a network to perform tasks collaboratively. = = network packet...
https://en.wikipedia.org/wiki/Computer_network
with the rapid advancement of ai, software engineering increasingly relies on ai - driven approaches, particularly language models ( lms ), to enhance code performance. however, the trustworthiness and reliability of lms remain significant challenges due to the potential for hallucinations - unreliable or incorrect res...
arxiv:2502.06769
smc ( sequential monte carlo ) is a class of monte carlo algorithms for filtering and related sequential problems. gerber and chopin ( 2015 ) introduced sqmc ( sequential quasi - monte carlo ), a qmc version of smc. this paper has two objectives : ( a ) to introduce sequential monte carlo to the qmc community, whose me...
arxiv:1706.05305
you noticed any weight loss, change in sleep quality, fevers, lumps and bumps? etc. ), followed by questions on the body ' s main organ systems ( heart, lungs, digestive tract, urinary tract, etc. ). social history ( sh ) : birthplace, residences, marital history, social and economic status, habits ( including diet, me...
https://en.wikipedia.org/wiki/Medicine
a novel analytical approach to the synthesis of electrical ( e. g. analogue, digital or microwave ) filters is proposed. this approach allows to obtain lowest possible degree filters with given involved specification including e. g. many pass and stop bands, narrow transition bands, high attenuation at the stop bands a...
arxiv:1612.01753
cp asymmetries for neutral charmed meson decays to cp eigenstates are carefully studied. the formulas and numerical results are presented. the impact on experiments is briefly discussed.
arxiv:hep-ph/0608313
high - energy tens ( 10s ) to hundreds ( 100s ) petawatt ( pw ) lasers are key tools for exploring frontier fundamental researches such as strong - field quantum electrodynamics ( qed ), and the generation of positron - electron pair from vacuum. recently, pulse compressor became the main obstacle on achieving higher p...
arxiv:2103.00843
we aim to participate in the calibration of the x - ray photon count rate to halo mass scaling relation of galaxy clusters selected in the first erosita all - sky survey on the western galactic hemisphere ( erass1 ) using kids - 1000 weak - lensing ( wl ) data. we measure the radial shear profiles around erass1 galaxy ...
arxiv:2402.08456
in this paper we review and systematize the mathematical theory on justification of sixth - order thin - film equations as reduced models for various fluid - structure interaction systems in which fluids are lubricating underneath elastic structures. justification is based on careful examination of energy estimates, we...
arxiv:2003.00066
using several independent methods, we find that the metal - insulator transition occurs in the strongly - interacting two - valley two - dimensional electron system in ultra - high mobility sige / si / sige quantum wells in zero magnetic field. the transition survives in this system in parallel magnetic fields strong e...
arxiv:2208.05356
cross - lingual text representations have gained popularity lately and act as the backbone of many tasks such as unsupervised machine translation and cross - lingual information retrieval, to name a few. however, evaluation of such representations is difficult in the domains beyond standard benchmarks due to the necess...
arxiv:2105.04971
we report two novel techniques for cooling and rotating bose - einstein condensates in a dilute rubidium vapour that highlight the control and versatility afforded over cold atom systems by time - averaged adiabatic potentials ( taaps ). the intrinsic loss channel of the taap has been successfully employed to evaporati...
arxiv:1201.0718
the strong coupling constants of spin - 3 / 2 to spin - 1 / 2 doubly heavy baryon transitions with light vector mesons are estimated within the light - cone qcd sum rules method. moreover, using the vector - meson dominance ans \ " atz, the widths of radiative decays $ b _ { qq } ^ * \ to b _ { qq } \ gamma $ are calcu...
arxiv:2101.10264
the traditional variable control charts, such as the x - bar chart, are widely used to monitor variation in a process. they have been shown to perform well for monitoring processes under the general assumptions that the observations are normally distributed without data contamination and that the sample sizes from the ...
arxiv:2212.10731
we study the effect of long - range interactions in non - convex one - dimensional lattice systems in the simplified yet meaningful assumption that the relevant long - range interactions are between $ m $ - neighbours for some $ m \ ge 2 $ and are convex. if short - range interactions are non - convex we then have a co...
arxiv:2405.06542
background : machine learning ( ml ) systems rely on data to make predictions, the systems have many added components compared to traditional software systems such as the data processing pipeline, serving pipeline, and model training. existing research on software maintenance has studied the issue - reporting needs and...
arxiv:2209.09932
the possibility of a new type of computing, where thermal noise is the information carrier and the clock in a computer, is studied. the information channel capacity and the lower limit of energy requirement / dissipation are studied in a simple digital system with zero threshold voltage, for the case of error probabili...
arxiv:physics/0607007
given a continuous gaussian process $ x $ which gives rise to a $ p $ - geometric rough path for $ p \ in ( 2, 3 ) $, and a general continuous process $ y $ controlled by $ x $, under proper conditions we establish the relationship between the skorohod integral $ \ int _ 0 ^ t y _ s { \ mathrm { d } } ^ \ diamond x _ s...
arxiv:2102.02693
we consider the evolution of an initially flrw universe after the formation of a long, straight, cosmic string with arbitrary tension and mass per unit length. the birth of the string sources scalar and tensor - type perturbations in the background metric and both density and velocity perturbations in the background fl...
arxiv:1112.2478
in this third part, we make the following hypothesis : representation $ r = r ( \ alpha, \ beta, \ gamma ; l ) $ of $ w ( p, q, r ) $ is reducible and there exist a $ g $ - invariant non - nulle bilinear form where $ g = im r $. with those conditions, we know the structure of $ g $ : $ g ' = g / n ( g ) $ is isomorphic...
arxiv:2002.03608
we consider examples of ` ` hidden - valley ' ' models, in which a new confining gauge group is added to the standard model. such models often arise in string constructions, and elsewhere. the resulting ( electrically - neutral ) bound states can have low masses and long lifetimes, and could be observed at the lhc and ...
arxiv:hep-ph/0604261
we propose a successive generation of cutting inequalities for binary quadratic optimization problems. multiple cutting inequalities are successively generated for the convex hull of the set of the optimal solutions $ \ subset \ { 0, 1 \ } ^ n $, while the standard cutting inequalities are used for the convex hull of t...
arxiv:2107.08665
after presenting a short history of gamma - ray burst ( grb ) studies, we discuss the current constraints on grb models which follows from astronomical observations. we concentrate on the energetics of the grbs with known redshifts and the association of the well - localized grbs with star forming regions in remote gal...
arxiv:astro-ph/0010031
we study affine immersions as introduced by nomizu and pinkall. we classify those affine immersions of a surface in 4 - space which are degenerate and have vanishing cubic form ( i. e. parallel second fundamental form ). this completes the classification of parallel surfaces of which the first results were obtained in ...
arxiv:math/0210406
that an experiment like pixie could provide strong constraints on $ \ alpha _ \ mathrm { s } $ and $ \ beta _ \ mathrm { s } $.
arxiv:1605.00209
lithium - ion battery manufacturing is a highly complicated process with strongly coupled feature interdependencies, a feasible solution that can analyse feature variables within manufacturing chain and achieve reliable classification is thus urgently needed. this article proposes a random forest ( rf ) - based classif...
arxiv:2102.06029
s innovative use of blockchain technology sparked a wave of development in the field of cryptocurrencies, opening up new possibilities for secure, transparent, and decentralized financial systems. as the financial technology landscape continued to evolve, new payment processing companies entered the market, offering de...
https://en.wikipedia.org/wiki/Financial_technology
time - delayed effects are widely present in nature, often accompanied by distinctive nonequilibrium features, such as negative apparent heat dissipation. to elucidate detailed structures of the dissipation, we study the frequency decomposition of the heat dissipation in linear time - delayed langevin systems. we decom...
arxiv:2501.01151
beam polarization asymmetries for the p ( gamma, k + ) lambda and p ( gamma, k + ) sigma0 reactions are measured for the first time for egamma = 1. 5 - 2. 4 gev and 0. 6 < cos ( theta _ cm ( k + ) ) < 1. 0 by using linearly polarized photons at the laser - electron - photon facility at spring - 8 ( leps ). the observed...
arxiv:nucl-ex/0302005
this note fixes a small gap in kerckhoff ' s proof that the limit set of the handlebody set has measure zero.
arxiv:1105.2980
a new wave of precision radial velocity instruments will open the door to exploring the populations of companions of low mass stars. the palomar radial velocity instrument ( parvi ) will be optimized to detect radial velocity signals of cool k and m stars with an instrument precision floor of 30 cm / s. parvi will oper...
arxiv:1911.04567
in cybersecurity, security analysts face the challenge of mitigating newly discovered vulnerabilities in real - time, with over 300, 000 common vulnerabilities and exposures ( cves ) identified since 1999. the sheer volume of known vulnerabilities complicates the detection of patterns for unknown threats. while llms ca...
arxiv:2410.17406
the novel method is proposed for the reconstruction of the early bolometric light curve for supernovae iip based on a set of spectra of h alpha emission during the first day after the shock breakout. the method exploits an effect of the radiative acceleration of the preshock circumstellar gas that is manifested in the ...
arxiv:2010.08963
let a and b be abelian categories with enough projective and injective objects, and t : a - b a left exact additive functor. then one has a comma category ( b * t ). it is shown that if t : a - b is x - exact, then ( * x, x ) is a ( hereditary ) cotorsion pair in a and ( * y, y ) ) is a ( hereditary ) cotorsion pair in...
arxiv:2310.15840
the use of abundance ratios involving y, or other slow - neutron capture elements, are routinely used to infer stellar ages. aims. we aim to explain the observed [ y / h ] and [ y / mg ] abundance ratios of star clusters located in the inner disc with a new prescription for mixing in asymptotic giant branch ( agb ) sta...
arxiv:2101.04429
the full set of equations governing the structure and the evolution of self - - gravitating cylindrically symmetric dissipative fluids with anisotropic stresses, is written down in terms of scalar quantities obtained from the orthogonal splitting of the riemann tensor ( structure scalars ), in the context of general re...
arxiv:1201.2862
visual object tracking is an important application of computer vision. recently, siamese based trackers have achieved good accuracy. however, most of siamese based trackers are not efficient, as they exhaustively search potential object locations to define anchors and then classify each anchor ( i. e., a bounding box )...
arxiv:2006.07560
we give conceptual proofs of some well known results concerning compact non - positively curved locally symmetric spaces. we discuss vanishing and non - vanishing of pontrjagin numbers and euler characteristics for these locally symmetric spaces. we also establish vanishing results for stiefel - whitney numbers of ( fi...
arxiv:math/0410125
we model the evolution of the internet at the autonomous system level as a process of competition for users and adaptation of bandwidth capability. we find the exponent of the degree distribution as a simple function of the growth rates of the number of autonomous systems and the total number of connections in the inte...
arxiv:cond-mat/0406765
this paper proposes a new view to algorithms, algorithms as defining dynamic systems. this view extends the traditional, deterministic view that an algorithm is a step by step procedure with nondeterminism. as a dynamic system can be designed by a set of its defining laws, it is also desirable to design an algorithm by...
arxiv:0911.0397
presented paper describes the development of comprehensive approach for knowledge processing within e - sceince tasks. considering the task solving within a simulation - driven approach a set of knowledge - based procedures for task definition and composite application processing can be identified. this procedures coul...
arxiv:1312.7688
the bardeen - cooper - schrieffer mechanism for superconductivity is a triumph of the theory of many - body systems. implicit in its formulation is the existence of long - lived ( quasi ) particles, originating from the electronic building blocks of the materials, which interact to form cooper pairs that move coherentl...
arxiv:1810.08599
recent developments and validation tests related to the simulation of x - ray fluorescence and pixe with geant4 are reviewed. they concern new models for pixe, which has enabled the first geant4 - based simulation of pixe in a concrete experimental application, and the experimental validation of the content of the eadl...
arxiv:1012.3303
in the past few years, the number of fine - art collections that are digitized and publicly available has been growing rapidly. with the availability of such large collections of digitized artworks comes the need to develop multimedia systems to archive and retrieve this pool of data. measuring the visual similarity be...
arxiv:1505.00855
semantic scene segmentation has primarily been addressed by forming representations of single images both with supervised and unsupervised methods. the problem of semantic segmentation in dynamic scenes has begun to recently receive attention with video object segmentation approaches. what is not known is how much extr...
arxiv:1904.00758
the behavior of the percolation threshold and the jamming coverage for isotropic random sequential adsorption samples has been studied by means of numerical simulations. a parallel algorithm that is very efficient in terms of its speed and memory usage has been developed and applied to the model involving large linear ...
arxiv:1810.06800
we propose a strategy for searching for theoretically - unanticipated new physics which avoids a large trials factor by focusing on experimental strengths. searches for resonances decaying into pairs of visible particles are experimentally very powerful due to the localized mass peaks and have a rich history of discove...
arxiv:1610.09392
we prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism. to this purpose we develop an adaptation of degree theory.
arxiv:1704.01345
we compare the results of the mark correlation analysis of galaxies in a sample from the sloan digital sky survey and from two galaxy catalogs obtained by semi - analytical galaxy formation models implemented on the millennium simulation. we use the moped method to retrieve the star formation history of observed galaxi...
arxiv:0801.3282
in this paper we review the extragalactic propagation of ultrahigh energy cosmic - rays ( uhecr ). we present the different energy loss processes of protons and nuclei, and their expected influence on energy evolution of the uhecr spectrum and composition. we discuss the possible implications of the recent composition ...
arxiv:1111.3290
this paper presents our latest investigations on different features for factored language models for code - switching speech and their effect on automatic speech recognition ( asr ) performance. we focus on syntactic and semantic features which can be extracted from code - switching text data and integrate them into fa...
arxiv:1710.01809
we consider the analog of visibility problems in hyperbolic plane ( represented by poincar \ ' { e } half - plane model h ), replacing the standard lattice $ z \ times z $ by the orbit $ z = i $ under the full modular group $ z $. we prove a visibility criterion and study orchard problem and the cardinality of visible ...
arxiv:math/0607699
we present global, three - dimensional numerical simulations of hd 189733b and hd 209458b that couple the atmospheric dynamics to a realistic representation of non - gray cloud - free radiative transfer. the model, which we call the substellar and planetary atmospheric radiation and circulation ( sparc ) model, adopts ...
arxiv:0809.2089
automated insight generation is a common tactic for helping knowledge workers, such as data scientists, to quickly understand the potential value of new and unfamiliar data. unfortunately, automated insights produced by large - language models can generate code that does not correctly correspond ( or align ) to the ins...
arxiv:2405.01556
algocracy is the rule by algorithms. this paper summarises technologies useful to create algocratic social machines and presents idealistic examples of their application. in particular, it describes smart contracts and their implementations, challenges of behaviour mining and prediction, as well as game - theoretic and...
arxiv:2007.13127
due to the passive nature of intelligent reflecting surface ( irs ), channel estimation is a fundamental challenge in irs - aided wireless networks. particularly, as the number of irs reflecting elements and / or that of irs - served users increase, the channel training overhead becomes excessively high. to tackle this...
arxiv:2008.00622
we study bound - state effects on the t \ bar { t } production cross section in the threshold region at hadron colliders. the bound - state effects are important particularly at the lhc where the gluon fusion is the dominant subprocess. due to the formation of t \ bar { t } resonances in the j = 0 color - singlet chann...
arxiv:0804.1014
we introduce a method to lift monads on the base category of a fibration to its total category. this method, which we call codensity lifting, is applicable to various fibrations which were not supported by its precursor, categorical tt - lifting. after introducing the codensity lifting, we illustrate some examples of c...
arxiv:1810.07972
= = notable marine engineers = = = = = in industry = = = pieter van oord, ceo of royal van oord = = = in academia = = = michael e. mccormick, professor emeritus of the department of naval architecture and ocean engineering at the u. s. naval academy and pioneer of wave energy research = = in media and popular culture =...
https://en.wikipedia.org/wiki/Marine_engineering
benchmarking the performance of public cloud providers is a common research topic. previous research has already extensively evaluated the performance of different cloud platforms for different use cases, and under different constraints and experiment setups. in this paper, we present a principled, large - scale litera...
arxiv:1411.2429
we evaluate the coincidence spectra in the nonmesonic weak decay ( nmwd ) $ \ lambda n \ go nn $ of $ \ lambda $ hypernuclei $ ^ { 4 } _ \ lambda $ he, $ ^ { 5 } _ \ lambda $ he, $ ^ { 12 } _ \ lambda $ c, $ ^ { 16 } _ \ lambda $ o, and $ ^ { 28 } _ \ lambda $ si, as a function of the sum of kinetic energies $ e _ { nn...
arxiv:0808.1132
uncertain information is being taken into account in an increasing number of application fields. in the meantime, abduction has been proved a powerful tool for handling hypothetical reasoning and incomplete knowledge. probabilistic logical models are a suitable framework to handle uncertain information, and in the last...
arxiv:2108.03033
the ict development index ranks and compares the level of ict use and access across the various countries around the world. in 2014 itu ( international telecommunication union ) released the latest rankings of the idi, with denmark attaining the top spot, followed by south korea. the top 30 countries in the rankings in...
https://en.wikipedia.org/wiki/Information_and_communications_technology
we study how the collective effects of nanoparticles arranged in rectangular arrays influence their temporal plasmon response and field enhancement property. by systematically changing the lattice constant for arrays containing identical metal nanorods, we experimentally demonstrate how grating induced effects affect t...
arxiv:2005.07351
consider the three - dimensional navier - - stokes flow past a moving rigid body $ \ mathscr { o } \ subset \ mathbb { r } ^ 3 $ with prescribed translational and angular velocities, where $ \ mathscr { o } $ stands for a bounded lipschitz domain. we prove that the solution to the linearized problem is governed by a $ ...
arxiv:2402.05618
a complex pervasive system is typically composed of many cooperating \ emph { nodes }, running on machines with different capabilities, and pervasively distributed across the environment. these systems pose several new challenges such as the need for the nodes to manage autonomously and dynamically in order to adapt to...
arxiv:1005.2299
we present results from chandra observations of the x - ray starburst galaxies ngc 3310 and ngc 2276. we detect 27 discrete sources in ngc 3310, and 19 discrete sources in ngc 2276 with luminosities above $ \ mathrm { 1. 0 \ times 10 ^ { 38 } \ erg \ s ^ { - 1 } } $. the majority of the sources have photon indices of 1...
arxiv:1811.06335
the rapid advancement of large language models ( llms ) has revolutionized code generation tasks across various programming languages. however, the unique characteristics of programming languages, particularly those like verilog with specific syntax and lower representation in training datasets, pose significant challe...
arxiv:2503.14153
we present results from a 90 ks chandra acis - s observation of the x - ray luminous interacting galaxy system arp 299 ( ngc 3690 / ic 694 ). we detect 25 discrete x - ray sources with luminosities above 4. 0x10 ^ 38 erg s ^ - 1 covering the entire ultra luminous x - ray source ( ulx ) regime. based on the hard x - ray...
arxiv:1605.07001
blind image quality assessment ( biqa ) aims to predict perceptual image quality scores without access to reference images. state - of - the - art biqa methods typically require subjects to score a large number of images to train a robust model. however, subjective quality scores are imprecise, biased, and inconsistent...
arxiv:1309.0213
the nemo 3 detector has been running since february 2003 with several double beta emitters. new results are given for mo100, se82, nd150, zr96, ca48. the nemo 3 detector properties are presented for tracking reconstruction, identification of particles, energy measurement. angular distributions for one and two electrons...
arxiv:hep-ex/0509005
we introduce some general tools to design exact splitting methods to compute numerically semigroups generated by inhomogeneous quadratic differential operators. more precisely, we factorize these semigroups as products of semigroups that can be approximated efficiently, using, for example, pseudo - spectral methods. we...
arxiv:1912.13219
we give a short proof of the recent results that, for every $ 1 \ leq p < \ infty, $ the ces { \ ` a } ro function space $ ces _ p ( i ) $ is not a dual space, has the weak banach - saks property and does not have the radon - nikodym property.
arxiv:1212.0346
this paper contributes a new large - scale dataset for weakly supervised cross - media retrieval, named twitter100k. current datasets, such as wikipedia, nus wide and flickr30k, have two major limitations. first, these datasets are lacking in content diversity, i. e., only some pre - defined classes are covered. second...
arxiv:1703.06618
in his third notebook, ramanujan claims that $ $ \ int _ 0 ^ \ infty \ frac { \ cos ( nx ) } { x ^ 2 + 1 } \ log x \, \ mathrm { d } x + \ frac { \ pi } { 2 } \ int _ 0 ^ \ infty \ frac { \ sin ( nx ) } { x ^ 2 + 1 } \ mathrm { d } x = 0. $ $ in a following cryptic line, which only became visible in a recent reproducti...
arxiv:1509.00886
given a query photo issued by a user ( q - user ), the landmark retrieval is to return a set of photos with their landmarks similar to those of the query, while the existing studies on the landmark retrieval focus on exploiting geometries of landmarks for similarity matches between candidate photos and a query photo. w...
arxiv:1701.05003
large language models ( llms ) exhibit robust capabilities in text generation and comprehension, mimicking human behavior and exhibiting synthetic personalities. however, some llms have displayed offensive personality, propagating toxic discourse. existing literature neglects the origin and evolution of llm personaliti...
arxiv:2406.04583
quantitative information plays a crucial role in understanding and interpreting the content of documents. many user queries contain quantities and cannot be resolved without understanding their semantics, e. g., ` ` car that costs less than $ 10k ' '. yet, modern search engines apply the same ranking mechanisms for bot...
arxiv:2407.10283
a hydrodynamic model for determining the electrophoretic speed of a polyelectrolyte through a nanopore is presented. it is assumed that the speed is determined by a balance of electrical and viscous forces arising from within the pore and that classical continuum electrostatics and hydrodynamics may be considered appli...
arxiv:physics/0609244
in this paper we refine the process of computing calibration functions for a number of multiclass classification surrogate losses. calibration functions are a powerful tool for easily converting bounds for the surrogate risk ( which can be computed through well - known methods ) into bounds for the true risk, the proba...
arxiv:1609.06385
geometric methods have useful application for solving problems in a range of quantum information disciplines, including the synthesis of time - optimal unitaries in quantum control. in particular, the use of cartan decompositions to solve problems in optimal control, especially lambda systems, has given rise to a range...
arxiv:2404.02358