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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 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 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 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

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 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 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

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 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 Monte Carlo is an efficient sequential algorithm for simulating k-local Boolean Hamiltonians. Because of its structure, the algorithm is inherently parallel and therefore well suited for large-scale simulations of…

无序系统与神经网络 · 物理学 2018-11-26 Amin Barzegar , Christopher Pattison , Wenlong Wang , Helmut G. Katzgraber

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 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

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

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

Thermal boundary conditions has played an increasingly important role in revealing the nature of short-range spin glasses and is likely to be relevant also for other disordered systems. Diffusion method initializing each replica with a…

无序系统与神经网络 · 物理学 2016-06-22 Wenlong Wang

Population annealing (PA) is a population-based algorithm that is designed for equilibrium simulations of thermodynamic systems with a rough free energy landscape. It is known to be more efficient in doing so than standard Markov chain…

统计力学 · 物理学 2022-04-04 Denis Gessert , Martin Weigel , Wolfhard Janke

Many important challenges in science and technology can be cast as optimization problems. When viewed in a statistical physics framework, these can be tackled by simulated annealing, where a gradual cooling procedure helps search for…

无序系统与神经网络 · 物理学 2024-01-17 Mohamed Hibat-Allah , Estelle M. Inack , Roeland Wiersema , Roger G. Melko , Juan Carrasquilla

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

We investigate the computational hardness of spin-glass instances on a square lattice, generated via a recently introduced tunable and scalable approach for planting solutions. The method relies on partitioning the problem graph into…

无序系统与神经网络 · 物理学 2020-03-02 Dilina Perera , Firas Hamze , Jack Raymond , Martin Weigel , Helmut G. Katzgraber

The development and use of large-scale quantum computers relies on integrating quantum error-correcting (QEC) schemes into the quantum computing pipeline. A fundamental part of the QEC protocol is the decoding of the syndrome to identify a…

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