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A simple reweighting scheme is proposed for Monte Carlo simulations of interacting particle systems, permitting one to study various parameter values in a single study, and improving efficiency by an order of magnitude. Unlike earlier…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman

The basic problem in equilibrium statistical mechanics is to compute phase space average, in which Monte Carlo method plays a very important role. We begin with a review of nonlocal algorithms for Markov chain Monte Carlo simulation in…

Statistical Mechanics · Physics 2007-05-23 Jian-Sheng Wang

Reconstruction of one-dimensional kinematic distributions from calculations based on high-dimensional Monte-Carlo integration is a standard problem in high-energy physics. Traditionally, this is done by collecting randomly-generated events…

High Energy Physics - Phenomenology · Physics 2026-05-20 Kirill Melnikov , Ivan Novikov , Ivan Pedron

We present iterative Monte Carlo algorithm for which the temperature variable is attracted by a critical point. The algorithm combines techniques of single histogram reweighting and linear filtering. The 2d Ising model of ferromagnet is…

Statistical Mechanics · Physics 2015-06-24 M. Gmitra , D. Horvath

Computer simulations generate trajectories at a single, well-defined thermodynamic state point. Statistical reweighting offers the means to reweight static and dynamical properties to different equilibrium state points by means of analytic…

Computational Physics · Physics 2019-12-25 Marius Bause , Timon Wittenstein , Kurt Kremer , Tristan Bereau

We propose the use of Monte Carlo histogram reweighting to extrapolate predictions of machine learning methods. In our approach, we treat the output from a convolutional neural network as an observable in a statistical system, enabling its…

Statistical Mechanics · Physics 2020-11-25 Dimitrios Bachtis , Gert Aarts , Biagio Lucini

We study an induced dynamics in the space of energy of single-spin-flip Monte Carlo algorithm. The method gives an efficient reweighting technique. This dynamics is shown to have relaxation times proportional to the specific heat. Thus, it…

Statistical Mechanics · Physics 2009-10-31 Jian-Sheng Wang , Tien Kiat Tay , Robert H. Swendsen

We analyze a new Monte Carlo method which uses transition matrix in the space of energy. This method gives an efficient reweighting technique. The associated artificial dynamics is a constrained random walk in energy, producing the result…

Statistical Mechanics · Physics 2009-10-31 Jian-Sheng Wang

We present a multihistogram reweighting technique for nonequilibrium Markov Chains with discrete energies. The method generalizes the single histogram method of Yin et al. [Phys. Rev. E72, 036122 (2005)], making it possible to calculate the…

Statistical Mechanics · Physics 2013-04-08 Troels Arnfred Bojesen

We present density response estimators for Monte Carlo simulations that are based on a reweighting procedure, where the samples of an unperturbed system are used to estimate the properties of a system perturbed by an external harmonic…

A statistical method is derived for the calculation of thermodynamic properties of many-body systems at low temperatures. This method is based on the self-healing diffusion Monte Carlo method for complex functions [F. A. Reboredo J. Chem.…

Other Condensed Matter · Physics 2014-03-05 Fernando A. Reboredo , Jeongnim Kim

We combine histogram reweighting techniques with the two-lattice matching Monte Carlo renormalization group method to conduct computationally efficient calculations of critical exponents on systems with moderately small lattice sizes. The…

High Energy Physics - Lattice · Physics 2024-01-23 Dimitrios Bachtis

We examine the sources of error in the histogram reweighting method for Monte Carlo data analysis. We demonstrate that, in addition to the standard statistical error which has been studied elsewhere, there are two other sources of error,…

Statistical Mechanics · Physics 2015-06-25 M. E. J. Newman , R. G. Palmer

Metropolis Monte Carlo simulation is a powerful tool for studying the equilibrium properties of matter. In complex condensed-phase systems, however, it is difficult to design Monte Carlo moves with high acceptance probabilities that also…

Statistical Mechanics · Physics 2014-05-27 Jerome P. Nilmeier , Gavin E. Crooks , David D. L. Minh , John D. Chodera

Monte Carlo simulations are an essential tool in particle physics data analysis. Events are typically generated alongside weights that redistribute the cross section of the simulated process across the phase space. These weights can be…

High Energy Physics - Phenomenology · Physics 2026-05-13 Benjamin Nachman , Dennis Noll

We present a generic reweighting method for nonequilibrium Markov processes. With nonequilibrium Monte Carlo simulations at a single temperature, one calculates the time evolution of physical quantities at different temperatures, which…

Statistical Mechanics · Physics 2009-11-10 Hwee Kuan Lee , Yutaka Okabe

Theories of new physics often involve a large number of unknown parameters which need to be scanned. Additionally, a putative signal in a particular channel may be due to a variety of distinct models of new physics. This makes experimental…

High Energy Physics - Phenomenology · Physics 2015-06-19 James S. Gainer , Joseph Lykken , Konstantin T. Matchev , Stephen Mrenna , Myeonghun Park

Extracting maximal information from experimental data requires access to the likelihood function, which however is never directly available for complex experiments like those performed at high energy colliders. Theoretical predictions are…

High Energy Physics - Phenomenology · Physics 2023-08-11 Siyu Chen , Alfredo Glioti , Giuliano Panico , Andrea Wulzer

The purpose of this text is: 1) to clarify the foundations of the broad histogram method, stressing the conceptual differences between it and reweighting procedures in general; 2) to propose a very simple microcanonical dynamic rule, yet to…

Condensed Matter · Physics 2007-05-23 Paulo Murilo Castro de Oliveira

Computing the equilibrium properties of complex systems, such as free energy differences, is often hampered by rare events in the dynamics. Enhanced sampling methods may be used in order to speed up sampling by, for example, using high…

Computational Physics · Physics 2015-02-11 Antonia S. J. S. Mey , Hao Wu , Frank Noé
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