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The paper presents numerical simulations performed on dielectric properties of two-dimensional binary composites on eleven regular space filling tessellations. First, significant contributions of different parameters, which play an…

材料科学 · 物理学 2007-05-23 Enis Tuncer

Simulating a Gaussian process requires sampling from a high-dimensional Gaussian distribution, which scales cubically with the number of sample locations. Spectral methods address this challenge by exploiting the Fourier representation,…

机器学习 · 统计学 2026-02-27 Arsalan Jawaid , Abdullah Karatas , Jörg Seewig

We present an aid for importance sampling in Monte Carlo integration, which is of the general-purpose type in the sense that it in principle deals with any quadratically integrable integrand on a unit hyper-cube of arbitrary dimension. In…

高能物理 - 唯象学 · 物理学 2009-07-29 A. van Hameren

We describe and analyze some Monte Carlo methods for manifolds in Euclidean space defined by equality and inequality constraints. First, we give an MCMC sampler for probability distributions defined by un-normalized densities on such…

数值分析 · 数学 2017-09-21 Emilio Zappa , Miranda Holmes-Cerfon , Jonathan Goodman

Selective adsorption in a two-dimensional model of a binary hard-disk mixture on patterned adhesive surfaces is studied using grand canonical Monte Carlo simulations. The two species have equal diameters and equal bulk chemical potentials,…

软凝聚态物质 · 物理学 2026-05-21 Nazar Kukarkin , Taras Patsahan

Sup-normalized spectral functions form building blocks of max-stable and Pareto processes and therefore play an important role in modeling spatial extremes. For one of the most popular examples, the Brown-Resnick process, simulation is not…

统计理论 · 数学 2019-02-26 Marco Oesting , Martin Schlather , Claudia Schillings

The rational function approximation method, density functional theory, and NVT Monte Carlo simulation are used to obtain the density profiles of multicomponent hard-sphere mixtures near a planar hard wall. Binary mixtures with a size ratio…

统计力学 · 物理学 2007-06-06 Alexandr Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

The spectral representation is an effecient tool to explore electrical properties of material mixtures. It separates the contributions of geometrical topology and intrinsic properties of the constituents in the system. The aim of this paper…

材料科学 · 物理学 2007-05-23 Enis Tuncer

In particle-based algorithms, the effect of binary collisions is commonly described in a statistical way, using Monte Carlo techniques. It is shown that, in the relativistic regime, stringent constraints should be considered on the sampling…

等离子体物理 · 物理学 2009-11-13 F. Peano , M. Marti , L. O. Silva , G. Coppa

Non-perturbative study of "real-time" field theories is difficult due to the sign problem. We use Bold Schwinger-Dyson (SD) equations to study the real-time $\phi^4$ theory in $d=4$ beyond the perturbative regime. Combining SD equations in…

高能物理 - 唯象学 · 物理学 2015-12-17 Navid Abbasi , Ali Davody

This paper investigates a class of algorithms for numerical integration of a function in d dimensions over a compact domain by Monte Carlo methods. We construct a histogram approximation to the function using a partition of the integration…

计算物理 · 物理学 2015-06-11 Rudy Arthur , A. D. Kennedy

The probability density function (PDF) associated with a given set of samples is approximated by a piecewise-linear polynomial constructed with respect to a binning of the sample space. The kernel functions are a compactly supported basis…

数值分析 · 数学 2020-08-04 Giacomo Capodaglio , Max Gunzburger

A high-accuracy solution of the diffraction problem has become necessary for the treatment of certain special questions of statistical physics. This article reports the creation of a computer program that serves as an instrumental method of…

光学 · 物理学 2013-08-30 Vladimir V. Savukov , Igor V. Golubenko

We propose to use deep neural networks for generating samples in Monte Carlo integration. Our work is based on non-linear independent components estimation (NICE), which we extend in numerous ways to improve performance and enable its…

机器学习 · 计算机科学 2019-09-04 Thomas Müller , Brian McWilliams , Fabrice Rousselle , Markus Gross , Jan Novák

A mixed basis approach based on density functional theory is employed for low dimensional systems. The basis functions are taken to be plane waves for the periodic direction multiplied by B-spline polynomials in the non-periodic direction.…

计算物理 · 物理学 2015-05-20 Chung-Yuan Ren , Chen-Shiung Hsue , Yia-Chung Chang

The main purpose of this paper is to study the structure of the well-known non-iterative MUltiple SIgnal Classification (MUSIC) algorithm for identifying the shape of extended electromagnetic inclusions of small thickness located in a…

数学物理 · 物理学 2015-04-07 Won-Kwang Park

We present density response estimators for Monte Carlo simulations that are based on a reweighting procedure, where the samples of an unperturbed system are used to estimate the properties of a system perturbed by an external harmonic…

When underlying probability density functions of nonlinear dynamic systems are unknown, the filtering problem is known to be a challenging problem. This paper attempts to make progress on this problem by proposing a new class of filtering…

统计理论 · 数学 2016-06-17 Zhiguo Wang , Xiaojing Shen , Yunmin Zhu , Jianxin Pan

This paper deals with subsampled spectral gradient methods for minimizing finite sum. Subsample function and gradient approximations are employed in order to reduce the overall computational cost of the classical spectral gradient methods.…

数值分析 · 数学 2019-11-04 Stefania Bellavia , Nataša Krklec Jerinkić , Greta Malaspina

The paper proposes Monte Carlo algorithms for the computation of the information rate of two-dimensional source/channel models. The focus of the paper is on binary-input channels with constraints on the allowed input configurations. The…

信息论 · 计算机科学 2012-12-27 Mehdi Molkaraie , Hans-Andrea Loeliger
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