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In the context of Monte Carlo sampling for lattice models, the complexity of the energy landscape often leads to Markov chains being trapped in local optima, thereby increasing the correlation between samples and reducing sampling…

Statistical Mechanics · Physics 2024-10-29 Jiewei Ding , Jiahao Su , Ho-Kin Tang , Wing Chi Yu

Often one has a preference order among the different systems that satisfy a given specification. Under a probabilistic assumption about the possible inputs, such a preference order is naturally expressed by a weighted automaton, which…

Logic in Computer Science · Computer Science 2011-04-15 Krishnendu Chatterjee , Thomas A. Henzinger , Barbara Jobstmann , Rohit Singh

The presence of erratic or unstable paths in standard kinetic Monte Carlo simulations significantly undermines the accurate simulation and sampling of transition pathways. While typically reliable methods, such as the Gillespie algorithm,…

Statistical Mechanics · Physics 2024-12-03 Elad Korngut , Ohad Vilk , Michael Assaf

The use of heuristics to assess the convergence and compress the output of Markov chain Monte Carlo can be sub-optimal in terms of the empirical approximations that are produced. Typically a number of the initial states are attributed to…

We introduce Ensemble Rejection Sampling, a scheme for exact simulation from the posterior distribution of the latent states of a class of non-linear non-Gaussian state-space models. Ensemble Rejection Sampling relies on a proposal for the…

Computation · Statistics 2020-01-28 George Deligiannidis , Arnaud Doucet , Sylvain Rubenthaler

The data torrent unleashed by current and upcoming astronomical surveys demands scalable analysis methods. Many machine learning approaches scale well, but separating the instrument measurement from the physical effects of interest, dealing…

Computation · Statistics 2023-04-19 Johannes Buchner

Markov Chain Monte Carlo methods are widely used in signal processing and communications for statistical inference and stochastic optimization. In this work, we introduce an efficient adaptive Metropolis-Hastings algorithm to draw samples…

Computation · Statistics 2016-03-17 David Luengo , Luca Martino

Traditional methods for unsupervised learning of finite mixture models require to evaluate the likelihood of all components of the mixture. This becomes computationally prohibitive when the number of components is large, as it is, for…

Machine Learning · Computer Science 2021-10-12 Milan Papež , Tomáš Pevný , Václav Šmídl

Determining the most appropriate features for machine learning predictive models is challenging regarding performance and feature acquisition costs. In particular, global feature choice is limited given that some features will only benefit…

Machine Learning · Computer Science 2026-03-17 Gabriel Bernardino , Anders Jonsson , Patrick Clarysse , Nicolas Duchateau

Many data sources are naturally modeled by multiple weight assignments over a set of keys: snapshots of an evolving database at multiple points in time, measurements collected over multiple time periods, requests for resources served at…

Databases · Computer Science 2010-11-11 Edith Cohen , Haim Kaplan , Subhabrata Sen

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

Methodology · Statistics 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

Gibbs sampling is one of the most commonly used Markov Chain Monte Carlo (MCMC) algorithms due to its simplicity and efficiency. It cycles through the latent variables, sampling each one from its distribution conditional on the current…

Machine Learning · Computer Science 2024-08-26 Yanbo Wang , Wenyu Chen , Shimin Shan

Machine learning methods provide a general framework for automatically finding and representing the essential characteristics of simulation data. This task is particularly crucial in enhanced sampling simulations. There we seek a few…

Chemical Physics · Physics 2021-07-07 Jakub Rydzewski , Omar Valsson

The most efficient weights for Markov chain Monte Carlo calculations of physical observables are not necessarily those of the canonical ensemble. Generalized ensembles, which do not exist in nature but can be simulated on computers, lead…

Statistical Mechanics · Physics 2017-04-26 Bernd A Berg

Improvement of time series forecasting accuracy through combining multiple models is an important as well as a dynamic area of research. As a result, various forecasts combination methods have been developed in literature. However, most of…

Artificial Intelligence · Computer Science 2013-02-28 Ratnadip Adhikari , R. K. Agrawal

We propose a weighting scheme for the proposals within Markov chain Monte Carlo algorithms and show how this can improve statistical efficiency at no extra computational cost. These methods are most powerful when combined with…

Computation · Statistics 2015-07-01 Espen Bernton , Shihao Yang , Yang Chen , Neil Shephard , Jun S. Liu

Markov chain Monte Carlo methods are a powerful tool for sampling equilibrium configurations in complex systems. One problem these methods often face is slow convergence over large energy barriers. In this work, we propose a novel method…

Computational Physics · Physics 2024-05-29 Luigi Sbailò , Manuel Dibak , Frank Noé

In this paper we explore several approaches for sampling weight vectors in the context of weighted sum scalarisation approaches for solving multi-criteria decision making (MCDM) problems. This established method converts a multi-objective…

Optimization and Control · Mathematics 2025-04-18 Aled Williams , Yilun Cai

State-space models have been used in many applications, including econometrics, engineering, medical research, etc. The maximum likelihood estimation (MLE) of the static parameter of general state-space models is not straightforward because…

Methodology · Statistics 2025-02-04 Yuxiong Gao , Wentao Li , Rong Chen

We study the problem of sampling weighted partial triangulations of a convex polygon. We consider the distribution where each partial triangulation $\sigma$ is chosen with probability proportional to $\lambda^{|\sigma|}$, where $\lambda>0$…

Discrete Mathematics · Computer Science 2026-05-22 Antonio Blanca , Alexandre Stauffer , Izabella Stuhl