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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

This note introduces a method for sampling Ising models with mixed boundary conditions. As an application of annealed importance sampling and the Swendsen-Wang algorithm, the method adopts a sequence of intermediate distributions that keeps…

数值分析 · 数学 2022-05-19 Lexing Ying

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

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

Spin glasses have competing interactions that lead to a rough energy landscape which is highly susceptible to small perturbations. These chaotic effects strongly affect numerical simulations and, as such, gaining a deeper understanding of…

无序系统与神经网络 · 物理学 2016-06-14 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

A theoretical description of the low-temperature phase of short-range spin glasses has remained elusive for decades. In particular, it is unclear if theories that assert a single pair of pure states, or theories that are based infinitely…

无序系统与神经网络 · 物理学 2014-11-14 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

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

We investigate the theoretical foundations of the simulated tempering method and use our findings to design efficient algorithms. Employing a large deviation argument first used for replica exchange molecular dynamics [Plattner et al., J.…

化学物理 · 物理学 2019-02-08 Anton Martinsson , Jianfeng Lu , Benedict Leimkuhler , Eric Vanden-Eijnden

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

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…

Algorithms for simulating complex physical systems or solving difficult optimization problems often resort to an annealing process. Rather than simulating the system at the temperature of interest, an annealing algorithm starts at a…

计算物理 · 物理学 2015-04-02 Michael Habeck

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 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

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers. Density of states estimation has also…

统计力学 · 物理学 2019-07-31 Lev Barash , Jeffrey Marshall , Martin Weigel , Itay Hen

Annealing is the process of gradually lowering the temperature of a system to guide it towards its lowest energy states. In an accompanying paper [Luo et al. Phys. Rev. E 108, L052105 (2023)], we derived a general bound on annealing…

统计力学 · 物理学 2023-11-20 Yutong Luo , Yi-Zheng Zhen , Xiangjing Liu , Daniel Ebler , Oscar Dahlsten

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

We study the fragility of spin glasses to small temperature perturbations numerically using population annealing Monte Carlo. We apply thermal boundary conditions to a three-dimensional Edwards-Anderson Ising spin glass. In thermal boundary…

无序系统与神经网络 · 物理学 2015-09-10 Wenlong Wang , Jon Machta , Helmut G. Katzgraber

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

We study quantum population transfer via a common intermediate state initially in thermal equilibrium with a finite temperature $T$, exhibiting a multi-level Stimulated Raman adiabatic passage structure. We consider two situations for the…

量子物理 · 物理学 2020-10-28 Wei Huang , Baohua Zhu , Wei Wu , Shan Yin , Wentao Zhang , Chu Guo

We propose a new global optimization method ({\em Simulated Tempering}) for simulating effectively a system with a rough free energy landscape (i.e. many coexisting states) at finite non-zero temperature. This method is related to simulated…

高能物理 - 格点 · 物理学 2010-12-17 Enzo Marinari , Giorgio Parisi
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