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Much of the current focus in high-performance computing is on multi-threading, multi-computing, and graphics processing unit (GPU) computing. However, vectorization and non-parallel optimization techniques, which can often be employed…

分布式、并行与集群计算 · 计算机科学 2015-05-18 Neil G. Dickson , Kamran Karimi , Firas Hamze

Various physical models can be expressed in terms of matrices. A valuable tool for analysing matrix models is numerical simulations, often the Metropolis algorithm with various improvements. The downside of this approach is that the…

高能物理 - 格点 · 物理学 2026-05-29 Samuel Kováčik , Matej Hrmo

We present a novel approach for improving particle filters for multi-target tracking. The suggested approach is based on drift homotopy for stochastic differential equations. Drift homotopy is used to design a Markov Chain Monte Carlo step…

数值分析 · 数学 2011-02-11 Vasileios Maroulas , Panagiotis Stinis

The challenging problem of conducting fully Bayesian inference for the reaction rate constants governing stochastic kinetic models (SKMs) is considered. Given the challenges underlying this problem, the Markov jump process representation is…

统计计算 · 统计学 2019-01-10 Andrew Golightly , Emma Bradley , Tom Lowe , Colin S. Gillespie

Major chip manufacturers have all introduced multicore microprocessors. Multi-socket systems built from these processors are used for running various server applications. However to the best of our knowledge current commercial operating…

分布式、并行与集群计算 · 计算机科学 2018-10-24 Suryanarayana Murthy Durbhakula

Design considerations for molecular dynamics algorithms capable of taking advantage of the computational power of a graphics processing unit (GPU) are described. Accommodating the constraints of scalable streaming-multiprocessor hardware…

计算物理 · 物理学 2011-01-27 D. C. Rapaport

Couplings play a central role in contemporary Markov chain Monte Carlo methods and in the analysis of their convergence to stationarity. In most cases, a coupling must induce relatively fast meeting between chains to ensure good…

统计方法学 · 统计学 2021-02-04 John O'Leary

Metropolis Monte Carlo simulation is a powerful tool for studying the equilibrium properties of matter. In complex condensed-phase systems, however, it is difficult to design Monte Carlo moves with high acceptance probabilities that also…

统计力学 · 物理学 2014-05-27 Jerome P. Nilmeier , Gavin E. Crooks , David D. L. Minh , John D. Chodera

We present an implementation of Quantum Computing for a Markov Chain Monte Carlo method with an application to cosmological functions, to derive posterior distributions from cosmological probes. The algorithm proposes new steps in the…

We consider versions of the Metropolis algorithm which avoid the inefficiency of rejections. We first illustrate that a natural Uniform Selection Algorithm might not converge to the correct distribution. We then analyse the use of Markov…

统计理论 · 数学 2024-04-04 J. S. Rosenthal , A. Dote , K. Dabiri , H. Tamura , S. Chen , A. Sheikholeslami

It has become increasingly easy nowadays to collect approximate posterior samples via fast algorithms such as variational Bayes, but concerns exist about the estimation accuracy. It is tempting to build solutions that exploit approximate…

统计计算 · 统计学 2024-06-17 Leo L. Duan , Anirban Bhattacharya

We propose an adaptive independent Metropolis--Hastings algorithm with the ability to learn from all previous proposals in the chain except the current location. It is an extension of the independent Metropolis--Hastings algorithm.…

概率论 · 数学 2009-03-04 Lars Holden , Ragnar Hauge , Marit Holden

Multi-socket multi-core servers are used for solving some of the important problems in computing. Remote DRAM accesses can impact performance of certain applications running on such servers. This paper presents a new near linear operating…

分布式、并行与集群计算 · 计算机科学 2020-08-07 Suryanarayana Murthy Durbhakula

Parallel tempering is a generic Markov chain Monte Carlo sampling method which allows good mixing with multimodal target distributions, where conventional Metropolis-Hastings algorithms often fail. The mixing properties of the sampler…

统计计算 · 统计学 2012-05-08 Blazej Miasojedow , Eric Moulines , Matti Vihola

In this paper, we propose a unified algorithmic framework for solving many known variants of \mds. Our algorithm is a simple iterative scheme with guaranteed convergence, and is \emph{modular}; by changing the internals of a single…

机器学习 · 计算机科学 2010-03-31 Arvind Agarwal , Jeff M. Phillips , Suresh Venkatasubramanian

Despite the enormous success of Hamiltonian Monte Carlo and related Markov Chain Monte Carlo (MCMC) methods, sampling often still represents the computational bottleneck in scientific applications. Availability of parallel resources can…

统计计算 · 统计学 2026-01-26 Jakob Robnik , Uroš Seljak

High fidelity scientific simulations modeling physical phenomena typically require solving large linear systems of equations which result from discretization of a partial differential equation (PDE) by some numerical method. This step often…

数学软件 · 计算机科学 2020-07-01 Mohammad Shafaet Islam , Qiqi Wang

The introduction of accelerator devices such as graphics processing units (GPUs) has had profound impact on molecular dynamics simulations and has enabled order-of-magnitude performance advances using commodity hardware. To fully reap these…

We introduce a new algorithm for the simulation of Euclidean dynamical triangulations that mimics the Metropolis-Hastings algorithm, but where all proposed moves are accepted. This rejection-free algorithm allows for the factorization of…

高能物理 - 格点 · 物理学 2023-09-22 Mingwei Dai , Walter Freeman , Jack Laiho , Marc Schiffer , Judah Unmuth-Yockey

The effect of different move sets on the folding kinetics of the Monte Carlo simulations is analysed based on the conformation-network and the temperature-dependent folding kinetics. A new scheme of implementing Metropolis algorithm is…

软凝聚态物质 · 物理学 2007-05-23 Yu-Pin Luo , Ming-Chang Huang , Yen-Liang Chou , Tsong-Ming Liaw