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given a double complex $ x $ there are spectral sequences with the $ e _ 2 $ terms being either h $ _ i $ ( h $ _ { ii } ( x ) ) $ or h $ _ { ii } ( $ h $ _ i ( x ) ) $. but if $ h _ i ( x ) = h _ { ii } ( x ) = 0 $ both spectral sequences have all their terms 0. this can happen even though there is nonzero ( co ) homo... | arxiv:1108.1100 |
and all operations stemming therefrom are only meaningful when restricted to certain matrices, since the sum featuring in the above definition of the matrix product will contain an infinity of summands. an easy way to circumvent this issue is to restrict to matrices all of whose rows ( or columns ) contain only finitel... | https://en.wikipedia.org/wiki/Matrix_(mathematics) |
in contrast to the well known fermi liquid theory of three dimensions, interacting one - dimensional and quasi one - dimensional systems of fermions are described at low energy by an effective theory known as luttinger liquid theory. this theory is expressed in terms of collective many - body excitations that show exot... | arxiv:cond-mat/0611597 |
the ( single ) black hole solutions of ba \ ~ nados, teitelboim and zanelli ( btz ) in 2 + 1 dimensional anti - de sitter space are generalized to an arbitrary number $ n $ of such black holes. the resulting multi - black - hole ( mbh ) spacetime is locally isometric to anti - de sitter space, and globally it is obtain... | arxiv:gr-qc/9608010 |
off - stoichiometric alloys exhibit partial disorder, in the sense that only some of the sublattices of the stoichiometric ordered alloy become disordered. this paper puts forward a generalization of the augmented space recursion ( asr ) ( introduced earlier by one of us ( mookerjee et al 1997 ( * ) ) ) for systems wit... | arxiv:cond-mat/0107245 |
m / n ) ) $ quantum relative entropy net on the spectraplex. $ \ bullet $ matrix discrepancy for schatten norms. we generalize our discrepancy bound for matrix spencer to schatten norms $ 2 \ le p \ leq q $. given $ \ | a _ i \ | _ { s _ p } \ leq 1 $ and $ \ mathrm { rank } ( a _ i ) \ leq r $, we can efficiently find... | arxiv:2111.03171 |
in this paper, we improve polyak ' s local convexity result for quadratic transformations. extension and open problems are also presented. | arxiv:1405.6042 |
electric vehicles ( evs ) are considered as sustainable alternatives to conventional vehicles, as they reduce emission and fossil fuel dependency. a recent study has proposed a charging infrastructure planning tool to support intercity trips for the estimated ev market share ( 6 percent ) in michigan for 2030. the main... | arxiv:2012.04773 |
for an infinite type surface $ \ sigma $, we consider the space of ( marked ) convex hyperbolic structures on $ \ sigma $, denoted $ h ( \ sigma ) $, with the fenchel - nielsen topology. the ( big ) mapping class group acts faithfully on this space allowing us to investigate a number of mapping class group invariant su... | arxiv:2410.05606 |
in this study we coded, for individual student participation on each question, the video of twenty - seven groups interacting in the group phase of a variety of two - phase exams. we found that maximum group participation occurred on questions where at least one person in the group had answered that question incorrectl... | arxiv:1607.03960 |
we study the impact that uncertainties on assumed relations between galaxy bias parameters have on constraints of the local png $ f _ { \ rm nl } $ parameter. we focus on the relation between the linear density galaxy bias $ b _ 1 $ and local png bias $ b _ \ phi $ in an idealized forecast setup with multitracer galaxy... | arxiv:2009.06622 |
we extract the long - distance asymptotic behaviour of two - point correlation functions in massless quantum integrable models containing multi - species excitations. for such a purpose, we extend to these models the method of a large - distance regime re - summation of the form factor expansion of correlation function... | arxiv:1601.04475 |
since the pioneering works by landau, zener, st \ " uckelberg, and majorana ( lzsm ), it has been known that driving a quantum two - level system results in tunneling between its states. even though the interference between these transitions is known to be important, it is only recently that it became both accessible, ... | arxiv:2203.16348 |
inspired by our earlier work on automatic repeat request ( arq ) secrecy, we propose a simple, yet efficient, security overlay protocol to existing 802. 11 networks. our work targets networks secured by the wired equivalent privacy ( wep ) protocol because of its widespread use and vulnerability to a multitude of secur... | arxiv:0908.2328 |
we verify the qed ward identity for the two - and three - point functions at non - equilibrium in the htl limit. we use the keldysh formalism of real time finite temperature field theory. we obtain an identity of the same form as the ward identity for a set of one loop self - energy and one loop three - point vertex di... | arxiv:hep-th/9801103 |
we present a new approach to a technique known as compiling control, whose aim is to compile away special mechanisms for non - standard atom selection in logic programs. it has previously been conjectured that compiling control could be implemented as an instance of the first futamura projection, in which an interprete... | arxiv:1808.05360 |
we propose that the non - observation of wimps may be explained by dark matter primarily annihilating to the darker concealed sector while coupling to the standard model with only minimal strength. to demonstrate this scenario, we focus on the wimp dark matter candidate from a $ u ( 1 ) _ x $ hidden sector, which coupl... | arxiv:2409.17217 |
the thesis is devoted to abstract, geometric and symmetric aspects of modern elementary particle theories. a new direction in constructing supersymmetric and superstring models based on consequent and strong consideration and inclusion of semigroups, ideals and noninvertible properties into their mathematical structure... | arxiv:math-ph/9910045 |
deep neural networks ( dnn ) are powerful models for many pattern recognition tasks, yet their high computational complexity and memory requirement limit them to applications on high - performance computing platforms. in this paper, we propose a new method to evaluate dnns trained with 32bit floating point ( float32 ) ... | arxiv:1810.09854 |
with the growing attention and investment in recent ai approaches such as large language models, the narrative that the larger the ai system the more valuable, powerful and interesting it is is increasingly seen as common sense. but what is this assumption based on, and how are we measuring value, power, and performanc... | arxiv:2409.14160 |
apache kafka addresses the general problem of delivering extreme high volume event data to diverse consumers via a publish - subscribe messaging system. it uses partitions to scale a topic across many brokers for producers to write data in parallel, and also to facilitate parallel reading of consumers. even though apac... | arxiv:2205.09415 |
conformal prediction is a powerful tool to generate uncertainty sets with guaranteed coverage using any predictive model, under the assumption that the training and test data are i. i. d.. recently, it has been shown that adversarial examples are able to manipulate conformal methods to construct prediction sets with in... | arxiv:2404.19651 |
we give a real - analytic section for the teichm \ " uller projection onto the vmo - teichm \ " uller space by using the variant of beurling - ahlfors extension by heat kernel introduced by fefferman, kenig and pipher in 1991. based on this result, we prove that the vmo - teichm \ " uller space can be endowed with a re... | arxiv:2112.08962 |
navigating unseen environments based on natural language instructions remains difficult for egocentric agents in vision - and - language navigation ( vln ). existing approaches primarily rely on rgb images for environmental representation, underutilizing latent textual semantic and spatial cues and leaving the modality... | arxiv:2412.06465 |
snow is a highly complex medium composed of ice crystals of various shapes and sizes. knowledge of its intrinsic optical properties such as the scattering and absorption coefficient is tantamount to radiative transfer models in climate research. the absorption coefficient, in particular, allows us to access information... | arxiv:2204.08432 |
the dynamics of a standing shock front in a poynting - flux dominated relativistic flow is investigated by using a one - dimensional, relativistic, two - fluid simulation. an upstream flow containing a circularly polarized, sinusoidal magnetic shear wave is considered, mimicking a wave driven by an obliquely rotating p... | arxiv:1303.2702 |
nominal unification is an extension of first - order unification that takes into account the \ alpha - equivalence relation generated by binding operators, following the nominal approach. we propose a sound and complete procedure for nominal unification with commutative operators, or nominal c - unification for short, ... | arxiv:1709.05384 |
as large language models ( llms ) are increasingly deployed in real - world settings, understanding the knowledge they implicitly use when making decisions is critical. one way to capture this knowledge is in the form of bayesian prior distributions. we develop a prompt - based workflow for eliciting prior distribution... | arxiv:2406.01860 |
model - based systems engineering ( mbse ) has been widely utilized to formalize system artifacts and facilitate their development throughout the entire lifecycle. during complex system development, mbse models need to be frequently exchanged across stakeholders. concerns about data security and tampering using traditi... | arxiv:2005.05415 |
variational quantum algorithms constitute one of the most widespread methods for using current noisy quantum computers. however, it is unknown if these heuristic algorithms provide any quantum - computational speedup, although we cannot simulate them classically for intermediate sizes. since entanglement lies at the co... | arxiv:2207.03404 |
we perform the first model independent analysis of experimental data using deep neural networks to determine the nature of an exotic hadron. specifically, we study the line shape of the $ p _ c ( 4312 ) $ signal reported by the lhcb collaboration and we find that its most likely interpretation is that of a virtual stat... | arxiv:2110.13742 |
an inhomogeneity into a conductive matrix deforms the flow pattern of an applied electric current. a usual current cloak can be defined as a permanent modification of the matrix properties around the inhomogeneity guaranteeing that the current flow pattern is similar before and after passing by the modified zone, so it... | arxiv:2011.07629 |
advancements in light modulator technology have been driving discoveries and progress across various fields. the problem of large - scale coherent optical control of atomic quantum systems - including cold atoms, ions, and solid - state color centers - presents among the most stringent requirements. this motivates a ne... | arxiv:2410.19058 |
we derive presentations of the interval groups related to all quasi - coxeter elements in the coxeter group of type $ d _ n $. type $ d _ n $ is the only infinite family of finite coxeter groups that admits proper quasi - coxeter elements. the presentations we obtain are over a set of generators in bijection with what ... | arxiv:2103.06570 |
there exist various defect - brane backgrounds in supergravity theories which arise as the low energy limit of string theories. these backgrounds typically have non - trivial monodromies, and if we move a charged probe around the center of a defect, its charge will be changed by the action of the monodromy. during the ... | arxiv:1411.1043 |
i make some basic observations about hard takeoff, value alignment, and coherent extrapolated volition, concepts which have been central in analyses of superintelligent ai systems. | arxiv:1704.00783 |
a hyperplane arrangement is said to satisfy the ` ` riemann hypothesis ' ' if all roots of its characteristic polynomial have the same real part. this property was conjectured by postnikov and stanley for certain families of arrangements which are defined for any irreducible root system and was proved for the root syst... | arxiv:math/9705223 |
we have recently introduced a new model for the distribution of dark matter ( dm ) in galaxies based on a self - gravitating system of massive fermions at finite temperatures, the ruffini - arg \ " uelles - rueda ( rar ) model. we show that this model, for fermion masses in the kev range, explains the dm halo of the ga... | arxiv:1606.07040 |
existing research has made impressive strides in reconstructing human facial shapes and textures from images with well - illuminated faces and minimal external occlusions. nevertheless, it remains challenging to recover accurate facial textures from scenarios with complicated illumination affected by external occlusion... | arxiv:2412.08524 |
we study dependence of jet quenching on matter density, using " tomography " of the fireball provided by rhic data on azimuthal anisotropy $ v _ 2 $ of high $ p _ t $ hadron yield at different centralities. slicing the fireball into shells with constant ( entropy ) density, we derive a " layer - wise geometrical limit ... | arxiv:0810.4116 |
dark photons ( dp ) are interesting as potential mediators between the dark matter ( dm ) sector and the fields of the standard model ( sm ). the interaction of the dp, described by a broken $ u ( 1 ) _ d $ gauge symmetry, with the sm is usually generated at the one - loop level via kinetic mixing through the existence... | arxiv:1810.07531 |
in today ' s scenario, imagining a world without negativity is something very unrealistic, as bad news spreads more virally than good ones. though it seems impractical in real life, this could be implemented by building a system using machine learning and natural language processing techniques in identifying the news d... | arxiv:1804.03673 |
we prove a dynamical shafarevich theorem on the finiteness of the set of isomorphism classes of rational maps with fixed degeneracies. more precisely, fix an integer d at least 2 and let k be either a number field or the function field of a curve x over a field k, where k is of characteristic zero or p > 2d - 2 that is... | arxiv:1705.05489 |
we prove the generalized margulis lemma with a uniform index bound on an alexandrov $ n $ - space $ x $ with curvature bounded below, i. e., small loops at $ p \ in x $ generate a subgroup of the fundamental group of unit ball $ b _ 1 ( p ) $ that contains a nilpotent subgroup of index $ \ le w ( n ) $, where $ w ( n )... | arxiv:1902.10973 |
the generalized hierarchies of compound wki - sp ( wadati - konno - ichikawa and short pulse ) equations are presented. the proposed integrable nonlinear equations include the wki - type equations, the sp - type equations and the compound generalized wki - sp equations. a chain of hodograph transformations are establis... | arxiv:2305.02532 |
extracting work from a physical system is one of the cornerstones of quantum thermodynamics. the extractable work, as quantified by ergotropy, necessitates a complete description of the quantum system. this is significantly more challenging when the state of the underlying system is unknown, as quantum tomography is ex... | arxiv:2412.02673 |
measurements of galaxy clustering are now becoming possible over a range of redshifts out to z = 3. we use a semi - analytic model of galaxy formation to compute the expected evolution of the galaxy correlation function with redshift. we illustrate how the degree of clustering evolution is sensitive to the details of t... | arxiv:astro-ph/9811222 |
( tmttf ) 2asf6 undergoes two phase transitions upon cooling from 300 k. at tco = 103 k a charge - ordering ( co ) occurs, and at tsp ( b = 9 t ) = 11 k the material undergoes a spin - peierls ( sp ) transition. within the intermediate, co phase, the charge disproportionation ratio is found to be at least 3 : 1 from ca... | arxiv:cond-mat/0205026 |
we model raman processes in silicene and germanene involving scattering of quasiparticles by, either, two phonons, or, one phonon and one point defect. we compute the resonance raman intensities and lifetimes for laser excitations between 1 and 3 $ \, $ ev using a newly developed third - nearest neighbour tight - bindi... | arxiv:1808.01354 |
error - correcting codes for quantum computing are crucial to address the fundamental problem of communication in the presence of noise and imperfections. audoux used khovanov homology to define families of quantum error - correcting codes with desirable properties. we explore khovanov homology and some of its many ext... | arxiv:2410.11252 |
we show that certain free energy functionals that are not convex with respect to the usual convex structure on their domain of definition, are strictly convex in the sense of displacement convexity under a natural change of variables. we use this to show that in certain cases, the only critical points of these function... | arxiv:0706.0133 |
shared mobility - on - demand services are expanding rapidly in cities around the world. as a prominent example, app - based ridesourcing is becoming an integral part of many urban transportation ecosystems. despite the centrality, limited public availability of detailed temporal and spatial data on ridesourcing trips ... | arxiv:2006.13924 |
the rho - rho - n and rho - rho - delta three - body systems have been studied within the framework of the fixed center approximation of faddeev equation. the rho - rho interaction in isospin i = 0, spin s = 2 is strongly attractive, and so are the n - rho, delta - rho interactions. this leads to bound states of both r... | arxiv:1107.0209 |
bulk metallic glass forms when liquid metal alloys solidify without crystalization. in the search for iron - based bulk glass - forming alloys of the metal - metalloid type ( fe - b - and fe - c - based ), crystals based on the structural prototype c6cr23 often preempt the amorphous phase. destabilizing this competing ... | arxiv:cond-mat/0407633 |
this paper studies the bearing - based simultaneous localization and affine formation tracking ( slaft ) control problem for fixed - wing unmanned aerial vehicles ( uavs ). in the considered problem, only a small set of uavs, named leaders, can obtain their global positions, and the other uavs only have access to beari... | arxiv:2306.10749 |
we present exact solutions of the incompressible navier - stokes equations in a background linear shear flow. the method of construction is based on kelvin ' s investigations into linearized disturbances in an unbounded couette flow. we obtain explicit formulae for all three components of a kelvin mode in terms of elem... | arxiv:1101.5507 |
we briefly review the main aspects of leptogenesis, describing both the unflavoured and the flavoured versions of the $ n _ 2 $ - dominated scenario. a study of the success rates of both classes of models has been carried out. we comment on these results and discuss corrective effects to this simplest scenario. focusin... | arxiv:1405.2318 |
upcoming gravitational wave ( gw ) detectors might detect a stochastic background of gws potentially arising from many possible sources, including bubble collisions from a strongly first - order electroweak phase transition. we investigate whether it is possible to connect, via a semi - analytical approximation to the ... | arxiv:0911.0687 |
electric bikes ( e - bikes ), including lightweight e - bikes with pedals and e - bikes in scooter form, are gaining popularity around the world because of their convenience and affordability. at the same time, e - bike - related accidents are also on the rise and many policymakers and practitioners are debating the fe... | arxiv:2307.13628 |
by applying a coupled - bloch - mode approach, we have derived a simple expression for the transmission properties of photonic crystal ( phc ) line - defect waveguides with a complex refractive index perturbation. we have provided physical insights on the coupling mechanism by analyzing the frequency dependence and rel... | arxiv:1906.04058 |
transfer learning is a widely used strategy in medical image analysis. instead of only training a network with a limited amount of data from the target task of interest, we can first train the network with other, potentially larger source datasets, creating a more robust model. the source datasets do not have to be rel... | arxiv:1810.05444 |
the development of methods and algorithms to solve the $ n $ - body problem for classical, collisionless, non - relativistic particles has made it possible to follow the growth and evolution of cosmic dark matter structures over most of the universe ' s history. in the best studied case $ - $ the cold dark matter or cd... | arxiv:1907.11775 |
in this paper, we test the hypothesis that interesting events in unstructured videos are inherently audiovisual. we combine deep image representations for object recognition and scene understanding with representations from an audiovisual affect recognition model. to this set, we include content agnostic audio - visual... | arxiv:2102.05811 |
hypersemitoric system, including the existence of a unique flap and two parabolic orbits. furthermore, we study the transitions between these stages. \ \ we also come up with new explicit semitoric systems on all hirzebruch surfaces which, together with the previous systems and the systems already contained in the lite... | arxiv:2307.10670 |
many activity classifications segments data into fixed window size for feature extraction and classification. however, animal behaviors have various durations that do not match the predetermined window size. the dense labeling and dense prediction methods address this limitation by predicting labels for every point. th... | arxiv:2209.03758 |
efficient generation and manipulation of spin signals in a given material without invoking external magnetism remain one of the challenges in spintronics. the spin hall effect ( she ) and rashba - edelstein effect ( ree ) are well - known mechanisms to electrically generate spin accumulation in materials with strong sp... | arxiv:2304.05287 |
the 5 - point tensors have the property that after insertion of the metric tensor $ g ^ { \ mu \ nu } $ in terms of external momenta, all $ g ^ { \ mu \ nu } $ - contributions in the tensor decomposition cancel. if furthermore the tensors are contracted with external momenta, the inverse 5 - point gram determinant $ ( ... | arxiv:1111.4153 |
emotions have been shown to play a role in argument convincingness, yet this aspect is underexplored in the natural language processing ( nlp ) community. unlike prior studies that use static analyses, focus on a single text domain or language, or treat emotion as just one of many factors, we introduce a dynamic framew... | arxiv:2503.00024 |
the diffractive program of the cdf collaboration at the fermilab tevatron pbar - p collider is reviewed with emphasis on recent results from run - ii and future prospects. | arxiv:hep-ex/0507072 |
unitary representations of the fundamental group of a kahler manifold correspond to polystable vector bundles ( with vanishing chern classes ). semisimple linear representations correspond to polystable higgs bundles. in this paper we find the objects corresponding to affine representations : the linear part gives a hi... | arxiv:math/9912043 |
the random - force ( larkin ) model of a directed elastic string subject to quenched random forces in the transverse directions has been a paradigm in the statistical physics of disordered systems. in this brief note, we investigate a modified version of the above model where the total transverse force along the polyme... | arxiv:1107.3328 |
aims. we aim to develop a chemical model that contains a consistent description of spin - state chemistry in reactions involving chemical species with multiple deuterons. we apply the model to the specific case of deuterated ammonia, to derive values for the various spin - state ratios. methods. we apply symmetry rules... | arxiv:1507.02856 |
interactions among sensors can provide, in addition to entanglement, an important resource for boosting the precision in quantum estimation protocols. dephasing noise, however, remains a leading source of decoherence in state - of - the - art quantum sensing platforms. we analyze the impact of classical { \ em collecti... | arxiv:2501.00189 |
this article provides a cartoon of the quantization of general relativity using the ideas of effective field theory. these ideas underpin the use of general relativity as a theory from which precise predictions are possible, since they show why quantum corrections to standard classical calculations are small. quantum c... | arxiv:gr-qc/0606108 |
tukia and vaisala showed that every quasi - conformal map of $ \ r ^ n $ extends to a quasi - conformal self - map of $ \ r ^ { n + 1 } $. the restriction of the extended map to the upper half - space $ \ r ^ n \ times \ r ^ + $ is, in fact, bi - lipschitz with respect to the hyperbolic metric. more generally, every ho... | arxiv:1112.2684 |
ordinary differential equations ( odes ) are foundational in modeling intricate dynamics across a gamut of scientific disciplines. yet, a possibility to represent a single phenomenon through multiple ode models, driven by different understandings of nuances in internal mechanisms or abstraction levels, presents a model... | arxiv:2308.16438 |
the masses of central massive black holes in bl lac objects are estimated from their host galaxy absolute magnitude at r - band by using the empirical relation between absolute magnitude of host galaxy and black hole mass. only a small fraction of bl lac objects exhibit weak broad - line emission, and we derive the siz... | arxiv:astro-ph/0403298 |
axions are a well - motivated dark matter candidate particle. haloscopes aim to detect axions in the galactic halo by measuring the photon signal resulting from axions interacting with a strong magnetic field. existing haloscopes are primarily targeting axion masses which produce microwave - range photons and rely on m... | arxiv:2408.03861 |
we discuss the problem of designing unambiguous programmable discriminators for any $ n $ unknown quantum states in an $ m $ - dimensional hilbert space. the discriminator is a fixed measurement which has two kinds of input registers : the program registers and the data register. the program registers consist of the $ ... | arxiv:quant-ph/0606189 |
understanding the writing frame of news articles is vital for addressing social issues, and thus has attracted notable attention in the fields of communication studies. yet, assessing such news article frames remains a challenge due to the absence of a concrete and unified standard dataset that considers the comprehens... | arxiv:2405.13272 |
word - level auto - completion ( wlac ) plays a crucial role in computer - assisted translation. it aims at providing word - level auto - completion suggestions for human translators. while previous studies have primarily focused on designing complex model architectures, this paper takes a different perspective by reth... | arxiv:2310.14523 |
the ir finite one - loop box scalar integral with massless internal lines has been recalculated. the result is very compact, simple and valid for arbitrary values of the relevant kinematic variables. it is given in terms of only two dilogarithms and a few logarithms, all of very simple arguments. | arxiv:hep-ph/0201306 |
we have calculated the composite ( pseudo ) scalar contributions to the anomalous magnetic moment of muons in models of walking technicolor. by the axial or scale anomaly the light scalars such as techni - dilaton, techni - pions or techni - eta have anomalous couplings to two - photons, which make them natural candida... | arxiv:1602.06628 |
open source software ( oss ) development challenges traditional software engineering practices. in particular, oss projects are managed by a large number of volunteers, working freely on the tasks they choose to undertake. oss projects also rarely rely on explicit system - level design, or on project plans or schedules... | arxiv:cs/0703009 |
let $ \ mathcal { x } _ { \ gamma } g : = \ mathrm { hom } ( \ gamma, g ) / \! / g $ be the $ g $ - character variety of $ \ gamma $, where $ g $ is a complex reductive group and $ \ gamma $ a finitely presented group. we introduce new techniques for computing hodge - deligne and serre polynomials of $ \ mathcal { x } ... | arxiv:2006.14520 |
motivated by the stellar wind ejected from the upper atmosphere ( corona ) of a star, we explore a boundary problem of the two - species nonlinear relativistic vlasov - poisson systems in the 3d half space in the presence of a constant vertical magnetic field and strong background gravity. we allow species to have diff... | arxiv:2310.09865 |
in repeated games, strategies are often evaluated by their ability to guarantee the performance of the single best action that is selected in hindsight, a property referred to as \ emph { hannan consistency }, or \ emph { no - regret }. however, the effectiveness of the single best action as a yardstick to evaluate str... | arxiv:2212.03152 |
using arakelov geometry, we compute the partition function of the noncompact free boson at genus two. we begin by compiling a list of modular invariants which appear in the arakelov theory of riemann surfaces. using these quantities, we express the genus two partition function as a product of modular forms, as in the w... | arxiv:1902.02420 |
anomaly detection is the process of identifying cases, or groups of cases, that are in some way unusual and do not fit the general patterns present in the dataset. numerous algorithms use discretization of numerical data in their detection processes. this study investigates the effect of the discretization method on th... | arxiv:2008.12330 |
in topologically - protected quantum computation, quantum gates can be carried out by adiabatically braiding two - dimensional quasiparticles, reminiscent of entangled world lines. bonesteel et al. [ phys. rev. lett. 95, 140503 ( 2005 ) ], as well as leijnse and flensberg [ phys. rev. b 86, 104511 ( 2012 ) ] recently p... | arxiv:1211.7359 |
we introduce a family of hamiltonian systems for measurement - based quantum computation with continuous variables. the hamiltonians ( i ) are quadratic, and therefore two body, ( ii ) are of short range, ( iii ) are frustration - free, and ( iv ) possess a constant energy gap proportional to the squared inverse of the... | arxiv:1007.0951 |
in this work, physics - informed neural networks are applied to incompressible two - phase flow problems. we investigate the forward problem, where the governing equations are solved from initial and boundary conditions, as well as the inverse problem, where continuous velocity and pressure fields are inferred from sca... | arxiv:2101.09833 |
the performance of large language models ( llms ) relies heavily on the quality of prompts, which are often manually engineered and task - specific, making them costly and non - scalable. we propose a novel approach, supervisory prompt training ( spt ). spt automates the generation of highly effective prompts using a d... | arxiv:2403.18051 |
we consider the geometric transition and compute the all - genus topological string amplitudes expressed in terms of hopf link invariants and topological vertices of chern - simons gauge theory. we introduce an operator technique of 2 - dimensional cft which greatly simplifies the computations. we in particular show th... | arxiv:hep-th/0312234 |
in this paper, we study optimal radar deployment for intrusion detection, with focus on network coverage. in contrast to the disk - based sensing model in a traditional sensor network, the detection range of a bistatic radar depends on the locations of both the radar transmitter and radar receiver, and is characterized... | arxiv:1206.1355 |
a cram \ ' er - rao bound ( crb ) optimization framework for near - field sensing ( nise ) with continuous - aperture arrays ( capas ) is proposed. in contrast to conventional spatially discrete arrays ( spdas ), capas emit electromagnetic ( em ) probing signals through continuous source currents for target sensing, th... | arxiv:2412.15007 |
we argue against foreman ' s proposal to settle the continuum hypothesis and other classical independent questions via the adoption of generic large cardinal axioms. | arxiv:1901.02074 |
in a high dimensional regression setting in which the number of variables ( $ p $ ) is much larger than the sample size ( $ n $ ), the number of possible two - way interactions between the variables is immense. if the number of variables is in the order of one million, which is usually the case in e. g., genetics, the ... | arxiv:2406.17466 |
prnu - based image processing is a key asset in digital multimedia forensics. it allows for reliable device identification and effective detection and localization of image forgeries, in very general conditions. however, performance impairs significantly in challenging conditions involving low quality and quantity of d... | arxiv:2001.06440 |
the structural characterization of hetero - aggregates in 3d is of great interest, e. g., for deriving process - structure or structure - property relationships. however, since 3d imaging techniques are often difficult to perform as well as time and cost intensive, a characterization of hetero - aggregates based on 2d ... | arxiv:2310.18523 |
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