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In this work we propose a highly optimized version of a simulated annealing (SA) algorithm adapted to the more recently developed Graphic Processor Units (GPUs). The programming has been carried out with CUDA toolkit, specially designed for…

分布式、并行与集群计算 · 计算机科学 2024-08-02 A. M. Ferreiro , J. A. García , J. G. López-Salas , C. Vázquez

The parallel annealing method is one of the promising approaches for large scale simulations as potentially scalable on any parallel architecture. We present an implementation of the algorithm on the hybrid program architecture combining…

计算物理 · 物理学 2021-01-07 Alexander Russkov , roman Chulkevich , Lev Shchur

We develop a quantum algorithm to solve combinatorial optimization problems through quantum simulation of a classical annealing process. Our algorithm combines techniques from quantum walks, quantum phase estimation, and quantum Zeno…

量子物理 · 物理学 2007-12-07 R. Somma , S. Boixo , H. Barnum

We propose a variant of the Simulated Annealing method for optimization in the multivariate analysis of differentiable functions. The method uses global actualizations via the Hybrid Monte Carlo algorithm in their generalized version for…

统计力学 · 物理学 2009-10-30 R. Salazar , R. Toral

We introduce a quantum Monte Carlo method to simulate the reversible dynamics of correlated many-body systems. Our method is based on the Laplace transform of the time-evolution operator which, as opposed to most quantum Monte Carlo…

量子物理 · 物理学 2022-09-14 Romain Chessex , Massimo Borrelli , Hans Christian Öttinger

Combinatorial optimization problems can be solved by heuristic algorithms such as simulated annealing (SA) which aims to find the optimal solution within a large search space through thermal fluctuations. The algorithm generates new…

无序系统与神经网络 · 物理学 2023-10-30 Shoummo Ahsan Khandoker , Jawaril Munshad Abedin , Mohamed Hibat-Allah

Simulated annealing is a popular method for approaching the solution of a global optimization problem. Existing results on its performance apply to discrete combinatorial optimization where the optimization variables can assume only a…

机器学习 · 统计学 2007-09-20 A. Lecchini-Visintini , J. Lygeros , J. Maciejowski

Statistical Data Assimilation (SDA) is the transfer of information from field or laboratory observations to a user selected model of the dynamical system producing those observations. The data is noisy and the model has errors; the…

统计计算 · 统计学 2019-01-16 Adrian S. Wong , Kangbo Hao , Zheng Fang , Henry D. I. Abarbanel

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 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

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

We develop a parallel rejection algorithm to tackle the problem of low acceptance in Monte Carlo methods, and apply it to the simulation of the hopping conduction in Coulomb glasses using Graphics Processing Units, for which we also…

无序系统与神经网络 · 物理学 2014-08-19 Ezequiel E. Ferrero , Alejandro B. Kolton , Matteo Palassini

We explored decoding methods for the surface code under depolarizing noise by mapping the problem into the Ising model optimization. We consider two kinds of mapping with and without a soft constraint and also various optimization solvers,…

We propose a path-integral Monte Carlo quantum annealing scheme for the symmetric Traveling Salesman Problem, based on a highly constrained Ising-like representation, and we compare its performance against standard thermal Simulated…

无序系统与神经网络 · 物理学 2009-11-10 Roman Martonak , Giuseppe E. Santoro , Erio Tosatti

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 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

This paper summarizes a quantum algorithm of [R.D. Somma, et.al., Phys. Rev. Lett. 101, 130504 (2008)] that simulates a classical annealing process for solving discrete optimization problems. The complexity of the quantum algorithm scales…

量子物理 · 物理学 2015-12-16 Sergio Boixo , Rolando D. Somma

Inspired by the work of [Fang et al.. An improved annealing method and its large-time behaviour. Stochastic Process. Appl. (1997), Volume 71 Issue 1 Page 55-74.], who propose an improved simulated annealing algorithm based on a variant of…

概率论 · 数学 2020-09-10 Michael C. H. Choi

This paper introduces a parallel implementation in CUDA/C++ of the Gaussian process with a decomposed kernel. This recent formulation, introduced by Joukov and Kuli\'c (2022), is characterized by an approximated -- but much smaller --…

分布式、并行与集群计算 · 计算机科学 2024-03-20 Davide Carminati
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