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In this paper, we present a parallel algorithm for Monte Carlo simulation of the 2D Ising Model to perform efficiently on a cluster computer using MPI. We use C++ programming language to implement the algorithm. In our algorithm, every…

计算物理 · 物理学 2018-11-13 Dariush Hassani , Shahnoosh Rafibakhsh

The ability to leverage large-scale hardware parallelism has been one of the key enablers of the accelerated recent progress in machine learning. Consequently, there has been considerable effort invested into developing efficient parallel…

分布式、并行与集群计算 · 计算机科学 2021-01-19 Vitaly Aksenov , Dan Alistarh , Janne H. Korhonen

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

最优化与控制 · 数学 2014-11-19 Ion Necoara , Dragos Clipici

In this work we show that randomized (block) coordinate descent methods can be accelerated by parallelization when applied to the problem of minimizing the sum of a partially separable smooth convex function and a simple separable convex…

最优化与控制 · 数学 2013-11-27 Peter Richtárik , Martin Takáč

On modern parallel architectures, the cost of synchronization among processors can often dominate the cost of floating-point computation. Several modifications of the existing methods have been proposed in order to keep the communication…

分布式、并行与集群计算 · 计算机科学 2019-12-10 Qinmeng Zou , Frederic Magoules

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

数值分析 · 数学 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

Parallelization is a popular strategy for improving the performance of iterative algorithms. Optimization methods are no exception: design of efficient parallel optimization methods and tight analysis of their theoretical properties are…

最优化与控制 · 数学 2023-11-28 Alexander Tyurin , Peter Richtárik

We consider parallel simulations for asynchronous systems employing L processing elements that are arranged on a ring. Processors communicate only among the nearest neighbors and advance their local simulated time only if it is guaranteed…

分布式、并行与集群计算 · 计算机科学 2007-05-23 A. Kolakowska , M. A. Novotny , G. Korniss

We introduce an algorithm to systematically improve the efficiency of parallel tempering Monte Carlo simulations by optimizing the simulated temperature set. Our approach is closely related to a recently introduced adaptive algorithm that…

其他凝聚态物理 · 物理学 2007-05-23 Helmut G. Katzgraber , Simon Trebst , David A. Huse , Matthias Troyer

Particle filter (PF) sequential Monte Carlo (SMC) methods are very attractive for the estimation of parameters of time dependent systems where the data is either not all available at once, or the range of time constants is wide enough to…

统计计算 · 统计学 2019-11-25 Andrea Arnold , Daniela Calvetti , Erkki Somersalo

In this paper we analyze, evaluate, and improve the performance of training generalized linear models on modern CPUs. We start with a state-of-the-art asynchronous parallel training algorithm, identify system-level performance bottlenecks,…

机器学习 · 计算机科学 2018-12-20 Nikolas Ioannou , Celestine Dünner , Kornilios Kourtis , Thomas Parnell

Markov Chain Monte Carlo (MCMC) algorithms are essential tools in computational statistics for sampling from unnormalised probability distributions, but can be fragile when targeting high-dimensional, multimodal, or complex target…

If a stochastic system during some periods of its evolution can be divided into non-interacting parts, the kinetics of each part can be simulated independently. We show that this can be used in the development of efficient Monte Carlo…

材料科学 · 物理学 2009-11-13 V. I. Tokar , H. Dreyssé

Statistical image reconstruction (SIR) methods are studied extensively for X-ray computed tomography (CT) due to the potential of acquiring CT scans with reduced X-ray dose while maintaining image quality. However, the longer reconstruction…

最优化与控制 · 数学 2019-06-14 Hung Nien , Jeffrey A. Fessler

Asynchronous parallel implementations of stochastic gradient (SG) have been broadly used in solving deep neural network and received many successes in practice recently. However, existing theories cannot explain their convergence and…

最优化与控制 · 数学 2019-04-22 Xiangru Lian , Yijun Huang , Yuncheng Li , Ji Liu

This paper describes an algorithm for selecting parameter values (e.g. temperature values) at which to measure equilibrium properties with Parallel Tempering Monte Carlo simulation. Simple approaches to choosing parameter values can lead to…

其他凝聚态物理 · 物理学 2015-05-18 Firas Hamze , Neil Dickson , Kamran Karimi

We review Sweeny's algorithm for Monte Carlo simulations of the random cluster model. Straightforward implementations suffer from the problem of computational critical slowing down, where the computational effort per edge operation scales…

计算物理 · 物理学 2015-03-19 Eren Metin Elçi , Martin Weigel

Monte Carlo simulations are one of the major tools in statistical physics, complex system science, and other fields, and an increasing number of these simulations is run on distributed systems like clusters or grids. This raises the issue…

其他凝聚态物理 · 物理学 2007-07-03 Heiko Bauke , Stephan Mertens

Lattice spin models are useful for studying critical phenomena and allow the extraction of equilibrium and dynamical properties. Simulations of such systems are usually based on Monte Carlo (MC) techniques, and the main difficulty is often…

计算物理 · 物理学 2012-09-13 Tal Levy , Guy Cohen , Eran Rabani

This thesis develops signal-processing algorithms and implementation schemes under constraints of minimal parallelism and memory space, with the goal of improving energy efficiency of low-power computing hardware. We propose (i) a…

信号处理 · 电气工程与系统科学 2025-12-30 Sergey Salishev