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An irreversible Markov-chain Monte Carlo (MCMC) algorithm with skew detailed balance conditions originally proposed by Turitsyn et al. is extended to general discrete systems on the basis of the Metropolis-Hastings scheme. To evaluate the…

Statistical Mechanics · Physics 2016-04-21 Yuji Sakai , Koji Hukushima

Pseudo-marginal Markov chain Monte Carlo methods for sampling from intractable distributions have gained recent interest and have been theoretically studied in considerable depth. Their main appeal is that they are exact, in the sense that…

Computation · Statistics 2015-03-25 Felipe J. Medina-Aguayo , Anthony Lee , Gareth O. Roberts

Bayesian methods and their implementations by means of sophisticated Monte Carlo techniques have become very popular in signal processing over the last years. Importance Sampling (IS) is a well-known Monte Carlo technique that approximates…

Computation · Statistics 2022-01-21 L. Martino , V. Elvira , G. Camps-Valls

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

Particle Marginal Metropolis-Hastings (PMMH) is a general approach to Bayesian inference when the likelihood is intractable, but can be estimated unbiasedly. Our article develops an efficient PMMH method that scales up better to higher…

Computation · Statistics 2023-05-10 David Gunawan , Pratiti Chatterjee , Robert Kohn

We implemented a parallel version of the multicanonical algorithm and applied it to a variety of systems with phase transitions of first and second order. The parallelization relies on independent equilibrium simulations that only…

Computational Physics · Physics 2015-01-27 Johannes Zierenberg , Martin Marenz , Wolfhard Janke

The general applicability and ease of use of the pseudo-marginal Metropolis--Hastings (PMMH) algorithm, and particle Metropolis--Hastings in particular, makes it a popular method for inference on discretely observed Markovian stochastic…

Statistics Theory · Mathematics 2024-11-19 Chris Sherlock

Markov chain Monte Carlo (MCMC) methods are powerful computational tools for analysis of complex statistical problems. However, their computational efficiency is highly dependent on the chosen proposal distribution, which is generally…

Statistics Theory · Mathematics 2014-10-02 Isambi S. Mbalawata , Simo Särkkä , Matti Vihola , Heikki Haario

An important challenge in machine translation (MT) is to generate high-quality and diverse translations. Prior work has shown that the estimated likelihood from the MT model correlates poorly with translation quality. In contrast, quality…

Computation and Language · Computer Science 2024-10-17 Gonçalo R. A. Faria , Sweta Agrawal , António Farinhas , Ricardo Rei , José G. C. de Souza , André F. T. Martins

Models of biological systems often have many unknown parameters that must be determined in order for model behavior to match experimental observations. Commonly-used methods for parameter estimation that return point estimates of the…

Quantitative Methods · Quantitative Biology 2018-01-31 Sanjana Gupta , Liam Hainsworth , Justin S. Hogg , Robin E. C. Lee , James R. Faeder

The Metropolis Hastings algorithm and its multi-proposal extensions are aimed at the computation of the expectation $<\pi,f>$ of a function $f$ under a probability measure $\pi$ difficult to simulate. They consist in constructing by an…

Probability · Mathematics 2009-02-20 Jean-François Delmas , Benjamin Jourdain

General multivariate distributions are notoriously expensive to sample from, particularly the high-dimensional posterior distributions in PDE-constrained inverse problems. This paper develops a sampler for arbitrary continuous multivariate…

Numerical Analysis · Mathematics 2019-07-05 Sergey Dolgov , Karim Anaya-Izquierdo , Colin Fox , Robert Scheichl

Multi-task learning (MTL) aims to build general-purpose vision systems by training a single network to perform multiple tasks jointly. While promising, its potential is often hindered by "unbalanced optimization", where task interference…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yihang Guo , Tianyuan Yu , Liang Bai , Yanming Guo , Yirun Ruan , William Li , Weishi Zheng

Markov chain Monte Carlo (MCMC) methods are foundational algorithms for Bayesian inference and probabilistic modeling. However, most MCMC algorithms are inherently sequential and their time complexity scales linearly with the sequence…

Computation · Statistics 2025-12-03 David M. Zoltowski , Skyler Wu , Xavier Gonzalez , Leo Kozachkov , Scott W. Linderman

Multi-Task Learning (MTL) involves the concurrent training of multiple tasks, offering notable advantages for dense prediction tasks in computer vision. MTL not only reduces training and inference time as opposed to having multiple…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Maxime Fontana , Michael Spratling , Miaojing Shi

Markov Chain Monte Carlo (MCMC) is a well-established family of algorithms which are primarily used in Bayesian statistics to sample from a target distribution when direct sampling is challenging. Single instances of MCMC methods are widely…

Computation · Statistics 2019-05-27 Alessandro Varsi , Lykourgos Kekempanos , Jeyarajan Thiyagalingam , Simon Maskell

Since its inception the Metropolis-Hastings kernel has been applied in sophisticated ways to address ever more challenging and diverse sampling problems. Its success stems from the flexibility brought by the fact that its verification and…

Computation · Statistics 2021-01-01 Christophe Andrieu , Anthony Lee , Sam Livingstone

Motivated by the physics of strings and branes, we develop a class of Markov chain Monte Carlo (MCMC) algorithms involving extended objects. Starting from a collection of parallel Metropolis-Hastings (MH) samplers, we place them on an…

Computational Physics · Physics 2017-09-13 Jonathan J. Heckman , Jeffrey G. Bernstein , Ben Vigoda

The Metropolis algorithm is one of the Markov chain Monte Carlo (MCMC) methods that realize sampling from the target probability distribution. In this paper, we are concerned with the sampling from the distribution in non-identifiable cases…

Statistics Theory · Mathematics 2024-06-04 Kenji Nagata , Yoh-ichi Mototake

We propose a novel Parallel Monte Carlo tree search with Batched Simulations (PMBS) algorithm for accelerating long-horizon, episodic robotic planning tasks. Monte Carlo tree search (MCTS) is an effective heuristic search algorithm for…

Robotics · Computer Science 2022-07-15 Baichuan Huang , Abdeslam Boularias , Jingjin Yu
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