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Many spin systems affected by critical slowing down can be efficiently simulated using cluster algorithms. Where such systems have long-range interactions, suitable formulations can additionally bring down the computational effort for each…

统计力学 · 物理学 2017-04-07 Emilio Flores-Sola , Martin Weigel , Ralph Kenna , Bertrand Berche

In this article we design a novel quasi-regression Monte Carlo algorithm in order to approximate the solution of discrete time backward stochastic differential equations (BSDEs), and we analyze the convergence of the proposed method. The…

数值分析 · 数学 2024-08-01 E. Gobet , J. G. López-Salas , C. Vázquez

Approximate inference in probabilistic graphical models (PGMs) can be grouped into deterministic methods and Monte-Carlo-based methods. The former can often provide accurate and rapid inferences, but are typically associated with biases…

机器学习 · 统计学 2019-01-09 Fredrik Lindsten , Jouni Helske , Matti Vihola

The answers to data assimilation questions can be expressed as path integrals over all possible state and parameter histories. We show how these path integrals can be evaluated numerically using a Markov Chain Monte Carlo method designed to…

计算物理 · 物理学 2015-05-27 John C. Quinn , Henry D. I. Abarbanel

We consider Monte Carlo simulations of classical spin models of statistical mechanics using the massively parallel architecture provided by graphics processing units (GPUs). We discuss simulations of models with discrete and continuous…

计算物理 · 物理学 2012-07-20 Martin Weigel , Taras Yavors'kii

We compare different methods for sampling from discrete probability distributions and introduce a new algorithm which is especially efficient on massively parallel processors, such as GPUs. The scheme preserves the distribution properties…

分布式、并行与集群计算 · 计算机科学 2019-09-02 Nikolaus Binder , Alexander Keller

This work discusses the implementation of Markov Chain Monte Carlo (MCMC) sampling from an arbitrary Gaussian mixture model (GMM) within SRAM. We show a novel architecture of SRAM by embedding it with random number generators (RNGs),…

信号处理 · 电气工程与系统科学 2020-03-06 Priyesh Shukla , Ahish Shylendra , Theja Tulabandhula , Amit Ranjan Trivedi

We present the Monte Carlo with Absorbing Markov Chains (MCAMC) method for extremely long kinetic Monte Carlo simulations. The MCAMC algorithm does not modify the system dynamics. It is extremely useful for models with discrete state spaces…

材料科学 · 物理学 2007-05-23 M. A. Novotny , Shannon M. Wheeler

This paper presents a new approach to automatically discovering accurate models of complex time series data. Working within a Bayesian nonparametric prior over a symbolic space of Gaussian process time series models, we present a novel…

机器学习 · 计算机科学 2023-07-20 Feras A. Saad , Brian J. Patton , Matthew D. Hoffman , Rif A. Saurous , Vikash K. Mansinghka

Many random processes can be simulated as the output of a deterministic model accepting random inputs. Such a model usually describes a complex mathematical or physical stochastic system and the randomness is introduced in the input…

机器学习 · 统计学 2012-11-21 A. Gokcen Mahmutoglu , Alper T. Erdogan , Alper Demir

We describe how quantum Monte Carlo calculations using the CASINO software can be accelerated using graphics processing units (GPUs) and OpenACC. In particular we consider offloading Ewald summation, the evaluation of long-range two-body…

计算物理 · 物理学 2025-12-24 B. Thorpe , M. J. Smith , P. J. Hasnip , N. D. Drummond

We present a novel Exchange Monte Carlo (EMC) method designed for application in continuous-space Path Integral Monte Carlo (PIMC) simulations at finite temperature. Traditional PIMC methods for bosonic systems suffer from long…

统计力学 · 物理学 2026-05-26 Xun Zhao , Synge Todo

A numerical technique is introduced that reduces exponentially the time required for Monte Carlo simulations of non-equilibrium systems. Results for the quasi-stationary probability distribution in two model systems are compared with the…

适应与自组织系统 · 物理学 2009-11-07 A. Bandrivskyy , S. Beri , D. G. Luchinsky , R. Mannella , P. V. E. McClintock

In this work it is shown how 128 bit SSE2 multimedia extension registers, present in Pentium IV class 32 bit processors, may be used to generate random numbers at several times greater speed then when regular general purpose registers are…

计算物理 · 物理学 2007-05-23 Borko D. Stosic

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

计算物理 · 物理学 2013-11-20 R. Meyer

A new implementation of many-body calculations is of paramount importance in the field of computational physics. In this study, we leverage the capabilities of Field Programmable Gate Arrays (FPGAs) for conducting quantum many-body…

强关联电子 · 物理学 2025-04-17 Songtai Lv , Yang Liang , Yuchen Meng , Xiaochen Yao , Jincheng Xu , Yang Liu , Qibin Zheng , Haiyuan Zou

Many popular statistical models for complex phenomena are intractable, in the sense that the likelihood function cannot easily be evaluated. Bayesian estimation in this setting remains challenging, with a lack of computational methodology…

统计计算 · 统计学 2015-03-31 Nial Friel , Antonietta Mira , Chris. J. Oates

We present an FPGA-based study of matrix-element acceleration for Monte Carlo event generation, using MadGraph5_aMC@NLO as a benchmark framework. Two complementary scenarios are considered. First, we implement the full matrix-element…

Graphics processing units (GPUs) are recently being used to an increasing degree for general computational purposes. This development is motivated by their theoretical peak performance, which significantly exceeds that of broadly available…

计算物理 · 物理学 2015-03-17 Martin Weigel

The Markov Chain Monte Carlo method is at the heart of efficient approximation schemes for a wide range of problems in combinatorial enumeration and statistical physics. It is therefore very natural and important to determine whether…

量子物理 · 物理学 2009-11-13 Pawel Wocjan , Anura Abeyesinghe