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In this paper, we present an online reinforcement learning algorithm, called Renewal Monte Carlo (RMC), for infinite horizon Markov decision processes with a designated start state. RMC is a Monte Carlo algorithm and retains the advantages…

Machine Learning · Computer Science 2018-04-05 Jayakumar Subramanian , Aditya Mahajan

We present an efficient algorithm for the inference of stochastic block models in large networks. The algorithm can be used as an optimized Markov chain Monte Carlo (MCMC) method, with a fast mixing time and a much reduced susceptibility to…

Data Analysis, Statistics and Probability · Physics 2014-01-14 Tiago P. Peixoto

Metaheuristics, as the simulated annealing used in the optimization of disordered systems, goes beyond physics, and the traveling salesman is a paradigmatic NP-complete problem that allows inferring important theoretical properties of the…

Disordered Systems and Neural Networks · Physics 2021-09-14 Roberto da Silva , Eliseu Venites Filho , Alexandre Alves

This review treats the mathematical and algorithmic foundations of non-reversible Markov chains in the context of event-chain Monte Carlo (ECMC), a continuous-time lifted Markov chain that employs the factorized Metropolis algorithm. It…

Soft Condensed Matter · Physics 2022-08-31 Werner Krauth

Delayed-acceptance is a technique for reducing computational effort for Bayesian models with expensive likelihoods. Using a delayed-acceptance kernel for Markov chain Monte Carlo can reduce the number of expensive likelihoods evaluations…

Computation · Statistics 2026-01-07 Joshua J Bon , Anthony Lee , Christopher Drovandi

Many important challenges in science and technology can be cast as optimization problems. When viewed in a statistical physics framework, these can be tackled by simulated annealing, where a gradual cooling procedure helps search for…

Disordered Systems and Neural Networks · Physics 2024-01-17 Mohamed Hibat-Allah , Estelle M. Inack , Roeland Wiersema , Roger G. Melko , Juan Carrasquilla

Many high dimensional optimization problems can be reformulated into a problem of finding theoptimal state path under an equivalent state space model setting. In this article, we present a general emulation strategy for developing a state…

Methodology · Statistics 2019-11-19 Chencheng Cai , Rong Chen

We propose a novel reversible jump Markov chain Monte Carlo (MCMC) simulated annealing algorithm to optimize radial basis function (RBF) networks. This algorithm enables us to maximize the joint posterior distribution of the network…

Machine Learning · Computer Science 2013-01-18 Christophe Andrieu , Nando de Freitas , Arnaud Doucet

We consider large-scale Markov decision processes (MDPs) with an unknown cost function and employ stochastic convex optimization tools to address the problem of imitation learning, which consists of learning a policy from a finite set of…

Machine Learning · Computer Science 2022-01-04 Angeliki Kamoutsi , Goran Banjac , John Lygeros

This paper explores a surprising equivalence between two seemingly-distinct convex optimization methods. We show that simulated annealing, a well-studied random walk algorithms, is directly equivalent, in a certain sense, to the central…

Optimization and Control · Mathematics 2015-11-06 Jacob Abernethy , Elad Hazan

We introduce Annealed Multiple Choice Learning (aMCL) which combines simulated annealing with MCL. MCL is a learning framework handling ambiguous tasks by predicting a small set of plausible hypotheses. These hypotheses are trained using…

Machine Learning · Computer Science 2025-01-20 David Perera , Victor Letzelter , Théo Mariotte , Adrien Cortés , Mickael Chen , Slim Essid , Gaël Richard

Markov chain Monte Carlo algorithms have important applications in counting problems and in machine learning problems, settings that involve estimating quantities that are difficult to compute exactly. How much can quantum computers speed…

Quantum Physics · Physics 2020-02-10 Aram W. Harrow , Annie Y. Wei

Neuronal ensemble inference is one of the significant problems in the study of biological neural networks. Various methods have been proposed for ensemble inference from their activity data taken experimentally. Here we focus on Bayesian…

Disordered Systems and Neural Networks · Physics 2020-03-30 Shun Kimura , Koujin Takeda

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…

Statistical Mechanics · Physics 2024-01-17 P. L. Ebert , D. Gessert , W. Janke , M. Weigel

Bayesian reasoning in linear mixed-effects models (LMMs) is challenging and often requires advanced sampling techniques like Markov chain Monte Carlo (MCMC). A common approach is to write the model in a probabilistic programming language…

Machine Learning · Computer Science 2025-03-25 Jinlin Lai , Justin Domke , Daniel Sheldon

Bayesian modelling and computational inference by Markov chain Monte Carlo (MCMC) is a principled framework for large-scale uncertainty quantification, though is limited in practice by computational cost when implemented in the simplest…

Computation · Statistics 2020-09-21 Colin Fox , Tiangang Cui , Markus Neumayer

A simple and efficient adaptive Markov Chain Monte Carlo (MCMC) method, called the Metropolized Adaptive Subspace (MAdaSub) algorithm, is proposed for sampling from high-dimensional posterior model distributions in Bayesian variable…

Methodology · Statistics 2023-01-04 Christian Staerk , Maria Kateri , Ioannis Ntzoufras

Learning-to-rank is an applied domain of supervised machine learning. As feature selection has been found to be effective for improving the accuracy of learning models in general, it is intriguing to investigate this process for…

Machine Learning · Computer Science 2023-10-23 Mohd. Sayemul Haque , Md. Fahim , Muhammad Ibrahim

The recently-introduced self-learning Monte Carlo method is a general-purpose numerical method that speeds up Monte Carlo simulations by training an effective model to propose uncorrelated configurations in the Markov chain. We implement…

Strongly Correlated Electrons · Physics 2017-10-11 Yuki Nagai , Huitao Shen , Yang Qi , Junwei Liu , Liang Fu

Adiabatic quantum computers, such as the quantum annealers commercialized by D-Wave Systems Inc., are routinely used to tackle combinatorial optimization problems. In this article, we show how to exploit them to accelerate equilibrium…

Disordered Systems and Neural Networks · Physics 2023-07-12 Giuseppe Scriva , Emanuele Costa , Benjamin McNaughton , Sebastiano Pilati