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We present a simple and efficient approximation scheme which greatly facilitates extension of Wang-Landau sampling (or similar techniques) in large systems for the estimation of critical behavior. The method, presented in an algorithmic…

Statistical Mechanics · Physics 2007-05-23 A. Malakis , A. Peratzakis , N. G. Fytas

Methodologies for training machine learning potentials (MLPs) to quantum-mechanical simulation data have recently seen tremendous progress. Experimental data has a very different character than simulated data, and most MLP training…

Microcanonical thermostatistics analysis has become an important tool to reveal essential aspects of phase transitions in complex systems. An efficient way to estimate the microcanonical inverse temperature $\beta(E)$ and the microcanonical…

Computational Physics · Physics 2020-04-21 Nelson A. Alves , Lucas D. Morero , Leandro G. Rizzi

A simple modification of the ``Wang-Landau sampling'' algorithm removes the systematic error that occurs at the boundary of the range of energy over which the random walk takes place in the original algorithm.

Statistical Mechanics · Physics 2009-11-10 B. J. Schulz , K. Binder , M. Müller , D. P. Landau

Cellular automata (CA) is an important modelling paradigm for complex systems. In the design of cellular automata, the most difficult task is to find the transformation rules that describe the temporal evolution or pattern of a modelled…

Cellular Automata and Lattice Gases · Physics 2023-10-03 Lei Kou , Fangfang Zhang , Luobing Chen , Wende Ke , Quande Yuan , Junhe Wan , Zhen Wang

The appearance of a convex dip in the microcanonical entropy of finite systems usually signals a first order transition. However, a convex dip also shows up in some systems with a continuous transition as for example in the Baxter-Wu model…

Statistical Mechanics · Physics 2009-11-11 Hans Behringer , Michel Pleimling

The interactions between a group of components are commonly studied in several areas of science (social science, biology, material science, complex dynamical systems, among others) using the methods of thermodynamics and statistical…

Statistical Mechanics · Physics 2021-07-28 Constanza Farías , Sergio Davis

We developed a new quantum annealing (QA) algorithm for Dirichlet process mixture (DPM) models based on the Chinese restaurant process (CRP). QA is a parallelized extension of simulated annealing (SA), i.e., it is a parallel stochastic…

Disordered Systems and Neural Networks · Physics 2013-09-10 Issei Sato , Shu Tanaka , Kenichi Kurihara , Seiji Miyashita , Hiroshi Nakagawa

The Potts model is frequently used to describe the behavior of image classes, since it allows to incorporate contextual information linking neighboring pixels in a simple way. Its isotropic version has only one real parameter beta, known as…

Applications · Statistics 2014-05-08 J. Gimenez , A. C. Frery , Ana Georgina Flesia

In this work a new way to calculate the multivariate joint entropy is presented. This measure is the basis for a fast information-theoretic based evaluation of gene relevance in a Microarray Gene Expression data context. Its low complexity…

Quantitative Methods · Quantitative Biology 2013-02-08 Fernando González , Lluís A. Belanche

We describe a number of recently developed cluster-flipping algorithms for the efficient simulation of classical spin models near their critical temperature. These include the algorithms of Wolff, Swendsen and Wang, and Niedermeyer, as well…

Condensed Matter · Physics 2007-05-23 G. T. Barkema , M. E. J. Newman

Motivated by the Bagging Partial Least Squares (PLS) and Principal Component Analysis (PCA) algorithms, we propose a Principal Model Analysis (PMA) method in this paper. In the proposed PMA algorithm, the PCA and the PLS are combined. In…

Machine Learning · Computer Science 2019-02-08 Qiwei Xie , Liang Tang , Weifu Li , Vijay John , Yong Hu

Ensemble methods combine the predictions of multiple models to improve performance, but they require significantly higher computation costs at inference time. To avoid these costs, multiple neural networks can be combined into one by…

Machine Learning · Computer Science 2024-05-07 Alexia Jolicoeur-Martineau , Emy Gervais , Kilian Fatras , Yan Zhang , Simon Lacoste-Julien

This article considers the problem of modeling a class of nonstationary count time series using multiple change-points generalized integer-valued autoregressive (MCP-GINAR) processes. The minimum description length principle (MDL) is…

Applications · Statistics 2023-07-04 Danshu Sheng , Dehui Wang

We present a new computational approach, Action-CSA, to sample multiple reaction pathways with fixed initial and final states through global optimization of the Onsager-Machlup action using the conformational space annealing method. This…

Chemical Physics · Physics 2017-10-26 Juyong Lee , In-Ho Lee , InSuk Joung , Jooyoung Lee , Bernard R. Brooks

We present a method for estimating the density of states of a classical statistical model. The algorithm successfully combines the Wang-Landau flat histogram method with the N-fold way in order to improve efficiency of the original single…

Statistical Mechanics · Physics 2009-11-07 B. J. Schulz , K. Binder , M. Mueller

We present a simple method to obtain optimal posterior distributions and improve the quality of Bayesian inference with reduced human and computational effort. Bayes' Theorem is reformulated in the language of statistical mechanics, wherein…

Methodology · Statistics 2026-04-28 Alfred C. K. Farris

Distributed Constraint Optimization Problems (DCOPs) are a widely studied class of optimization problems in which interaction between a set of cooperative agents are modeled as a set of constraints. DCOPs are NP-hard and significant effort…

Artificial Intelligence · Computer Science 2020-09-04 Saaduddin Mahmud , Md. Mosaddek Khan , Nicholas R. Jennings

We present a novel Ensemble Monte Carlo Growth method to sample the equilibrium thermodynamic properties of random chains. The method is based on the multicanonical technique of computing the density of states in the energy space. Such a…

Statistical Mechanics · Physics 2020-03-04 Graziano Vernizzi , Trung Dac Nguyen , Henri Orland , Monica Olvera de la Cruz

We compare Evolutionary Algorithms with Minima Hopping for global optimization in the field of cluster structure prediction. We introduce a new {\em average offspring} recombination operator and compare it with previously used operators.…

Other Condensed Matter · Physics 2009-11-13 Sandro E. Schoenborn , Stefan Goedecker , Shantanu Roy , Artem R. Oganov