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The Metropolis-Hastings algorithm allows one to sample asymptotically from any probability distribution $\pi$. There has been recently much work devoted to the development of variants of the MH update which can handle scenarios where such…

统计计算 · 统计学 2018-03-28 Christophe Andrieu , Arnaud Doucet , Sinan Yıldırım , Nicolas Chopin

The presented article contains a 2D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes with a prescribed size h of elements. These finite element meshes can serve as standard discrete…

数值分析 · 数学 2024-10-21 Ilona Dominika Kosinska

We show that for any multiple-try Metropolis algorithm, one can always accept the proposal and evaluate the importance weight that is needed to correct for the bias without extra computational cost. This results in a general, convenient,…

统计计算 · 统计学 2024-10-03 Guanxun Li , Aaron Smith , Quan Zhou

The adaptive Metropolis (AM) algorithm of Haario, Saksman and Tamminen [Bernoulli 7 (2001) 223-242] uses the estimated covariance of the target distribution in the proposal distribution. This paper introduces a new robust adaptive…

统计计算 · 统计学 2011-05-30 Matti Vihola

Confocal microscopy of colloids combined with digital image processing has become a powerful tool in soft matter physics and materials science. Together, these techniques enable locating and tracking of more than half a million individual…

软凝聚态物质 · 物理学 2016-05-10 Katharine E. Jensen , Nobutomo Nakamura

Many standard structural quantities, such as order parameters and correlation functions, exist for common condensed matter systems, such as spherical and rod-like particles. However, these structural quantities are often insufficient for…

软凝聚态物质 · 物理学 2012-01-18 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

Several physical systems in condensed matter have been modeled approximating their constituent particles as hard objects. The hard spheres model has been indeed one of the cornerstones of the computational and theoretical description in…

计算物理 · 物理学 2015-05-13 Cristiano De Michele

In this work we present an efficient implementation of Canonical Monte Carlo simulation for Coulomb many body systems on graphics processing units (GPU). Our method takes advantage of the GPU Single Instruction, Multiple Data (SIMD)…

计算物理 · 物理学 2017-03-13 Yihao Liang , Xiangjun Xing , Yaohang Li

Although the Metropolis algorithm is simple to implement, it often has difficulties exploring multimodal distributions. We propose the repelling-attracting Metropolis (RAM) algorithm that maintains the simple-to-implement nature of the…

统计方法学 · 统计学 2018-08-28 Hyungsuk Tak , Xiao-Li Meng , David A. van Dyk

The main objective of a statistical mechanical calculation is drawing the phase diagram of a many-body system. In this respect, discrete systems offer the clear advantage over continuum systems of an easier enumeration of microstates,…

量子气体 · 物理学 2022-04-01 Davide DeGregorio , Santi Prestipino

An improved Boris algorithm for simulating the motion of charged particles in electromagnetic fields has been developed. This enhancement addresses the issue of inaccurate fast-scale cyclotron phase calculations present in the original…

等离子体物理 · 物理学 2025-07-18 Jian Wang , Xiaodong Zhang , Lei Ye , Xingyuan Xu

Particle Metropolis-Hastings (PMH) allows for Bayesian parameter inference in nonlinear state space models by combining Markov chain Monte Carlo (MCMC) and particle filtering. The latter is used to estimate the intractable likelihood. In…

统计计算 · 统计学 2016-04-01 Johan Dahlin , Fredrik Lindsten , Thomas B. Schön

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

机器学习 · 统计学 2014-10-14 Talayeh Razzaghi , Ilya Safro

Probabilistic modeling provides the capability to represent and manipulate uncertainty in data, models, predictions and decisions. We are concerned with the problem of learning probabilistic models of dynamical systems from measured data.…

统计计算 · 统计学 2018-03-14 Thomas B. Schön , Andreas Svensson , Lawrence Murray , Fredrik Lindsten

This thesis explores hybrid algorithms that combine classical and quantum computing to enhance the performance of classical algorithms. Two approaches are studied: a hybrid search and sample optimization algorithm and a classical algorithm…

量子物理 · 物理学 2024-06-19 Roberto Campos

The presented article contains a 3D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes of a prescribed volume V_0 of elements. The finite volume meshes are used with the Finite Element…

计算几何 · 计算机科学 2011-03-31 Ilona D. Kosinska

In this paper, we propose a novel reordering scheme to improve the performance of a Laplacian Mesh Smoothing (LMS). While the Laplacian smoothing algorithm is well optimized and studied, we show how a simple reordering of the vertices of…

数值分析 · 计算机科学 2016-06-03 Guillaume Aupy , JeongHyung Park , Padma Raghavan

Global optimization is an active area of research in atomistic simulations, and many algorithms have been proposed to date. A prominent example is basin hopping Monte Carlo, which performs a modified Metropolis Monte Carlo search to explore…

化学物理 · 物理学 2020-02-04 Martín Leandro Paleico , Jörg Behler

Smoothing in state-space models amounts to computing the conditional distribution of the latent state trajectory, given observations, or expectations of functionals of the state trajectory with respect to this distributions. For models that…

统计计算 · 统计学 2010-11-10 Jimmy Olsson , Tobias Rydén

In the first part of a series of two papers, we present in considerable detail a collision-driven molecular dynamics algorithm for a system of nonspherical particles, within a parallelepiped simulation domain, under both periodic or…

计算物理 · 物理学 2007-05-23 Aleksandar Donev , Salvatore Torquato , Frank H. Stillinger