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The population annealing algorithm is a population-based equilibrium version of simulated annealing. It can sample thermodynamic systems with rough free-energy landscapes more efficiently than standard Markov chain Monte Carlo alone. A…

统计力学 · 物理学 2024-01-17 Denis Gessert , Wolfhard Janke , Martin Weigel

Population annealing is an efficient sequential Monte Carlo algorithm for simulating equilibrium states of systems with rough free energy landscapes. The theory of population annealing is presented, and systematic and statistical errors are…

无序系统与神经网络 · 物理学 2015-12-21 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

Population annealing is a recent addition to the arsenal of the practitioner in computer simulations in statistical physics and beyond that is found to deal well with systems with complex free-energy landscapes. Above all else, it promises…

统计力学 · 物理学 2021-05-05 Martin Weigel , Lev Yu. Barash , Lev N. Shchur , Wolfhard Janke

Population annealing is an easily parallelizable sequential Monte Carlo algorithm that is well-suited for simulating the equilibrium properties of systems with rough free energy landscapes. In this work we seek to understand and improve the…

统计力学 · 物理学 2018-03-20 Chris Amey , Jon Machta

Population annealing is a promising recent approach for Monte Carlo simulations in statistical physics, in particular for the simulation of systems with complex free-energy landscapes. It is a hybrid method, combining importance sampling…

计算物理 · 物理学 2017-09-14 Lev Yu. Barash , Martin Weigel , Michal Borovský , Wolfhard Janke , Lev N. Shchur

Population Monte Carlo simulations in the form commonly referred to as population annealing can serve as a useful meta-algorithm for simulating systems with complex free-energy landscapes. In the present paper we provide an easily…

统计力学 · 物理学 2024-01-17 P. L. Ebert , D. Gessert , W. Janke , M. Weigel

Population annealing is a sequential Monte Carlo scheme well-suited to simulating equilibrium states of systems with rough free energy landscapes. Here we use population annealing to study a binary mixture of hard spheres. Population…

统计力学 · 物理学 2017-07-27 Jared Callaham , Jon Machta

Population annealing is a powerful sequential Monte Carlo algorithm designed to study the equilibrium behavior of general systems in statistical physics through massive parallelism. In addition to the remarkable scaling capabilities of the…

统计力学 · 物理学 2022-10-19 Paul L. Ebert , Denis Gessert , Martin Weigel

Population annealing is a variant of the simulated annealing algorithm that improves the quality of the thermalization process in systems with rough free-energy landscapes by introducing a resampling process. We consider the diluted…

统计力学 · 物理学 2025-08-26 Fernando Martínez-García , Diego Porras

The population annealing algorithm introduced by Hukushima and Iba is described. Population annealing combines simulated annealing and Boltzmann weighted differential reproduction within a population of replicas to sample equilibrium…

统计力学 · 物理学 2015-03-17 Jon Machta

Parallel tempering and population annealing are both effective methods for simulating equilibrium systems with rough free energy landscapes. Parallel tempering, also known as replica exchange Monte Carlo, is a Markov chain Monte Carlo…

统计力学 · 物理学 2011-09-05 Jon Machta , Richard S. Ellis

We present the parallel and interacting stochastic approximation annealing (PISAA) algorithm, a stochastic simulation procedure for global optimisation, that extends and improves the stochastic approximation annealing (SAA) by using…

统计计算 · 统计学 2015-08-21 Georgios Karagiannis , Bledar A. Konomi , Guang Lin , Faming Liang

Population annealing is a Monte Carlo algorithm that marries features from simulated annealing and parallel tempering Monte Carlo. As such, it is ideal to overcome large energy barriers in the free-energy landscape while minimizing a…

无序系统与神经网络 · 物理学 2015-07-08 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

Annealing algorithms such as simulated annealing and population annealing are widely used both for sampling the Gibbs distribution and solving optimization problems (i.e. finding ground states). For both statistical mechanics and…

统计力学 · 物理学 2024-05-13 Amin Barzegar , Firas Hamze , Christopher Amey , Jonathan Machta

Population annealing is a powerful tool for large-scale Monte Carlo simulations. We adapt this method to molecular dynamics simulations and demonstrate its excellent accelerating effect by simulating the folding of a short peptide commonly…

计算物理 · 物理学 2019-02-27 Henrik Christiansen , Martin Weigel , Wolfhard Janke

Population annealing is a hybrid of sequential and Markov chain Monte Carlo methods geared towards the efficient parallel simulation of systems with complex free-energy landscapes. Systems with first-order phase transitions are among the…

计算物理 · 物理学 2017-04-07 Lev Yu. Barash , Martin Weigel , Lev N. Shchur , Wolfhard Janke

We propose a hybrid sampling method, tensor-network population annealing (TNPA), which combines tensor-network (TN) initialization with population annealing (PA). We apply this method to the two-dimensional Edwards-Anderson Ising spin…

统计力学 · 物理学 2026-04-14 Takumi Oshima , Yuma Ichikawa , Koji Hukushima

Ensemble methods combine the predictions of multiple models to improve performance, but they require significantly higher computation costs at inference time. To avoid these costs, multiple neural networks can be combined into one by…

机器学习 · 计算机科学 2024-05-07 Alexia Jolicoeur-Martineau , Emy Gervais , Kilian Fatras , Yan Zhang , Simon Lacoste-Julien

A generic algorithm for the extraction of probabilistic (Bayesian) information about model parameters from data is presented. The algorithm propagates an ensemble of particles in the product space of model parameters and outputs. Each…

统计计算 · 统计学 2015-09-18 Carlo Albert

Population Annealing, one of the currently state-of-the-art algorithms for solving spin-glass systems, sometimes finds hard disorder instances for which its equilibration quality at each temperature step is severely damaged. In such cases…

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