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Using a variant of parallel tempering, we study the changes in sampling within a simulation when the all-atom model is coupled to a Go-like potential. We find that the native structure is not the lowest-energy configuration in the all-atom…

Biomolecules · Quantitative Biology 2009-08-05 Jan H Meinke , Ulrich H E Hansmann

Multimodal structures in the sampling density (e.g. two competing phases) can be a serious problem for traditional Markov Chain Monte Carlo (MCMC), because correct sampling of the different structures can only be guaranteed for infinite…

Data Analysis, Statistics and Probability · Physics 2009-11-11 M. Daghofer , M. Konegger , H. G. Evertz , W. von der Linden

Parameterized artificial neural networks (ANNs) can be very expressive ansatzes for variational algorithms, reaching state-of-the-art energies on many quantum many-body Hamiltonians. Nevertheless, the training of the ANN can be slow and…

Quantum Physics · Physics 2025-06-04 Conor Smith , Quinn T. Campbell , Tameem Albash

Parallel tempering Monte Carlo has proven to be an efficient method in optimization and sampling applications. Having an optimized temperature set enhances the efficiency of the algorithm through more-frequent replica visits to the…

Computational Physics · Physics 2019-11-11 Ignacio Rozada , Maliheh Aramon , Jonathan Machta , Helmut G. Katzgraber

We propose a new Monte Carlo algorithm for the free energy calculation based on configuration space sampling. We implement this algorithm for Ising model. Comparison with the exact free energy shows an excellent agreement. We analyse the…

Strongly Correlated Electrons · Physics 2015-08-05 Sheng Bi , Ning-Hua Tong

A parallelized hybrid Monte Carlo (HMC) methodology is devised to quantify the microstructural evolution of polycrystalline material under elastic loading. The approach combines a time explicit material point method (MPM) for the mechanical…

Materials Science · Physics 2010-09-03 Liangzhe Zhang , Timothy Bartel , Mark T. Lusk

Parallel tempering is popular method for allowing MCMC algorithms to properly explore a $d$-dimensional multimodal target density. One problem with traditional power-based parallel tempering for multimodal targets is that the proportion of…

Computation · Statistics 2018-10-16 Nicholas G. Tawn , Gareth O. Roberts

We propose a new generalized-ensemble algorithm, which we refer to as the multibaric-multithermal Monte Carlo method. The multibaric-multithermal Monte Carlo simulations perform random walks widely both in volume space and in potential…

Statistical Mechanics · Physics 2009-11-10 H. Okumura , Y. Okamoto

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…

Statistical Mechanics · Physics 2021-05-05 Martin Weigel , Lev Yu. Barash , Lev N. Shchur , Wolfhard Janke

We propose a new Monte Carlo method for efficiently sampling trajectories with fixed initial and final conditions in a system with discrete degrees of freedom. The method can be applied to any stochastic process with local interactions,…

Statistical Mechanics · Physics 2012-03-30 Thierry Mora , Aleksandra M. Walczak , Francesco Zamponi

We describe an embarrassingly parallel, anytime Monte Carlo method for likelihood-free models. The algorithm starts with the view that the stochasticity of the pseudo-samples generated by the simulator can be controlled externally by a…

Machine Learning · Computer Science 2015-12-03 Edward Meeds , Max Welling

We investigate the performance of the hybrid Monte Carlo algorithm in updating non-trivial global topological structures. We find that the hybrid Monte Carlo algorithm has serious problems decorrelating the global topological charge. This…

High Energy Physics - Lattice · Physics 2016-08-15 G. Boyd , B. Allés , M. D'Elia , A. Di Giacomo , E. Vicari

The effectiveness of stochastic algorithms based on Monte Carlo dynamics in solving hard optimization problems is mostly unknown. Beyond the basic statement that at a dynamical phase transition the ergodicity breaks and a Monte Carlo…

Disordered Systems and Neural Networks · Physics 2019-07-10 Maria Chiara Angelini , Federico Ricci-Tersenghi

Parallel tempering, also known as replica exchange sampling, is an important method for simulating complex systems. In this algorithm simulations are conducted in parallel at a series of temperatures, and the key feature of the algorithm is…

Probability · Mathematics 2012-06-14 Paul Dupuis , Yufei Liu , Nuria Plattner , J. D. Doll

Monte Carlo simulation techniques, like simulated annealing and parallel tempering, are often used to evaluate low-temperature properties and find ground states of disordered systems. Here we compare these methods using direct calculations…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. J. Moreno , H. G. Katzgraber , Alexander K. Hartmann

The results of numerical simulation using a modified Monte Carlo method with a heat bath algorithm for the pseudospin model of cuprates are presented. The temperature phase diagrams are constructed for various degrees of doping and for…

Superconductivity · Physics 2025-10-10 Yu. D. Panov , V. A. Ulitko , D. N. Yasinskaya , A. S. Moskvin

This article addresses online variational estimation in parametric state-space models. We propose a new procedure for efficiently computing the evidence lower bound and its gradient in a streaming-data setting, where observations arrive…

Methodology · Statistics 2026-02-09 Mathis Chagneux , Mathias Müller , Pierre Gloaguen , Sylvain Le Corff , Jimmy Olsson

We present and apply a general-purpose, multi-start algorithm for improving the performance of low-energy samplers used for solving optimization problems. The algorithm iteratively fixes the value of a large portion of the variables to…

Discrete Mathematics · Computer Science 2017-11-02 Hamed Karimi , Gili Rosenberg , Helmut G. Katzgraber

I discuss optimized data analysis and Monte Carlo methods. Reweighting methods are discussed through examples, like Lee-Yang zeroes in the Ising model and the absence of deconfinement in QCD. I discuss reweighted data analysis and…

Disordered Systems and Neural Networks · Physics 2008-02-03 Enzo Marinari

Monte Carlo simulation provides a powerful tool for understanding and exploring thermodynamic phase equilibria in many-particle interacting systems. Among the most physically intuitive simulation methods is Gibbs ensemble Monte Carlo…

Statistical Mechanics · Physics 2015-06-12 Alan R. Denton , Michael P. Schmidt