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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

We propose a new class of interacting Markov chain Monte Carlo (MCMC) algorithms designed for increasing the efficiency of a modified multiple-try Metropolis (MTM) algorithm. The extension with respect to the existing MCMC literature is…

Computation · Statistics 2014-03-19 Roberto Casarin , Radu V. Craiu , Fabrizio Leisen

This article develops a general-purpose adaptive sampler that approximates the target density by a mixture of multivariate t densities. The adaptive sampler is based on reversible proposal distributions each of which has the mixture of…

Methodology · Statistics 2013-08-22 Minh-Ngoc Tran , Michael K. Pitt , Robert Kohn

Hamiltonian Monte Carlo (HMC) is a widely used sampler for continuous probability distributions. In many cases, the underlying Hamiltonian dynamics exhibit a phenomenon of resonance which decreases the efficiency of the algorithm and makes…

Computation · Statistics 2023-02-23 Lionel Riou-Durand , Pavel Sountsov , Jure Vogrinc , Charles C. Margossian , Sam Power

Particle MCMC is a class of algorithms that can be used to analyse state-space models. They use MCMC moves to update the parameters of the models, and particle filters to propose values for the path of the state-space model. Currently the…

Computation · Statistics 2014-12-25 Chris Nemeth , Paul Fearnhead

Sampling from heavy-tailed and multimodal distributions is challenging when neither the target density nor the proposal density can be evaluated, as in $\alpha$-stable L\'evy-driven fractional Langevin algorithms. While the target…

Machine Learning · Statistics 2026-02-03 Ahmed Aloui , Junyi Liao , Ali Hasan , Jose Blanchet , Vahid Tarokh

The study of many astrophysical flows requires computational algorithms that can capture high Mach number flows, while resolving a large dynamic range in spatial and density scales. In this paper we present a novel method, RAM: Rapid…

Instrumentation and Methods for Astrophysics · Physics 2023-07-26 Pablo Benítez-Llambay , Leonardo Krapp , Ximena S. Ramos , Kaitlin M. Kratter

We develop a new Markov chain on graph partitions that makes relatively global moves yet is computationally feasible to be used as the proposal in the Metropolis-Hastings method. Our resulting algorithm can be made reversible and able to…

Data Structures and Algorithms · Computer Science 2021-05-11 Eric Autrey , Daniel Carter , Gregory Herschlag , Zach Hunter , Jonathan C. Mattingly

In this article we propose multiplication based random walk Metropolis Hastings (MH) algorithm on the real line. We call it the random dive MH (RDMH) algorithm. This algorithm, even if simple to apply, was not studied earlier in Markov…

Computation · Statistics 2013-10-21 Somak Dutta

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) algorithms are widely used for stochastic optimization, sampling, and integration of mathematical objective functions, in particular, in the context of Bayesian inverse problems and parameter estimation. For…

Data Analysis, Statistics and Probability · Physics 2020-10-12 Shashank Kumbhare , Amir Shahmoradi

Markov Chain Monte Carlo (MCMC) methods have a drawback when working with a target distribution or likelihood function that is computationally expensive to evaluate, specially when working with big data. This paper focuses on…

Machine Learning · Computer Science 2019-10-22 Asif J. Chowdhury , Gabriel Terejanu

We construct an adaptive independent Metropolis-Hastings sampler that uses a mixture of normals as a proposal distribution. To take full advantage of the potential of adaptive sampling our algorithm updates the mixture of normals…

Computation · Statistics 2008-01-15 P. Giordani , R. Kohn

In this paper, we shall optimize the efficiency of Metropolis algorithms for multidimensional target distributions with scaling terms possibly depending on the dimension. We propose a method for determining the appropriate form for the…

Probability · Mathematics 2007-10-25 Mylène Bédard

We investigate the use of the Metropolis-Hastings algorithm to sample posterior distribution in a Bayesian inverse problem, where the likelihood function is random. Concretely, we consider the case where one has full field observations of a…

Numerical Analysis · Mathematics 2026-02-20 Emil Løvbak , Sebastian Krumscheid

Due to the drastic increase of mobile traffic, wireless caching is proposed to serve repeated requests for content download. To determine the caching scheme for decentralized caching networks, the content preference learning problem based…

Machine Learning · Computer Science 2019-08-26 Yu Ye , Ming Xiao , Mikael Skoglund

This paper proposes a new sampling scheme based on Langevin dynamics that is applicable within pseudo-marginal and particle Markov chain Monte Carlo algorithms. We investigate this algorithm's theoretical properties under standard…

Methodology · Statistics 2016-05-30 Christopher Nemeth , Chris Sherlock , Paul Fearnhead

Randomized methods such as PRM and RRT are widely used in motion planning. However, in some cases, their running-time suffers from inherent instability, leading to ``catastrophic'' performance even for relatively simple instances. We apply…

Robotics · Computer Science 2025-08-05 Nancy Amato , Stav Ashur , Sariel Har-Peled%

This short note is a self-contained and basic introduction to the Metropolis-Hastings algorithm, this ubiquitous tool used for producing dependent simulations from an arbitrary distribution. The document illustrates the principles of the…

Computation · Statistics 2016-01-28 Christian P. Robert

Long-horizon robotic manipulation remains challenging for reinforcement learning (RL) because sparse rewards provide limited guidance for credit assignment. Practical policy improvement thus relies on richer intermediate supervision, such…

Robotics · Computer Science 2026-04-22 Yiming Mao , Zixi Yu , Weixin Mao , Yinhao Li , Qirui Hu , Zihan Lan , Minzhao Zhu , Hua Chen
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