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In this article, we propose a novel and general dimension-hopping MCMC methodology that can update all the parameters as well as the number of parameters simultaneously using simple deterministic transformations of some low-dimensional…

统计计算 · 统计学 2017-03-16 Moumita Das , Sourabh Bhattacharya

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…

统计力学 · 物理学 2016-04-21 Yuji Sakai , Koji Hukushima

The ability to generate samples of the random effects from their conditional distributions is fundamental for inference in mixed effects models. Random walk Metropolis is widely used to perform such sampling, but this method is known to…

统计方法学 · 统计学 2019-10-29 Belhal Karimi , Marc Lavielle , Eric Moulines

Sequential Monte Carlo (SMC) is a methodology for sampling approximately from a sequence of probability distributions of increasing dimension and estimating their normalizing constants. We propose here an alternative methodology named…

统计理论 · 数学 2012-11-13 Anthony Brockwell , Pierre Del Moral , Arnaud Doucet

Our article is concerned with adaptive sampling schemes for Bayesian inference that update the proposal densities using previous iterates. We introduce a copula based proposal density which is made more efficient by combining it with…

统计方法学 · 统计学 2010-02-26 Ralph Silva , Robert Kohn , Paolo Giordani , Xiuyan Mun

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…

统计计算 · 统计学 2016-03-17 David Luengo , Luca Martino

Markov chain Monte Carlo (MCMC) methods are one of the most popular classes of algorithms for sampling from a target probability distribution. A rising trend in recent years consists in analyzing the convergence of MCMC algorithms using…

概率论 · 数学 2025-04-30 Federica Milinanni

Novel Markov Chain Monte Carlo (MCMC) methods have enabled the generation of large ensembles of redistricting plans through graph partitioning. However, existing algorithms such as Reversible Recombination (RevReCom) and Metropolized Forest…

数据结构与算法 · 计算机科学 2025-10-28 Atticus McWhorter , Daryl DeFord

Molecular dynamics algorithms are subject to some amount of error dependent on the size of the time step that is used. This error can be corrected by periodically updating the system with a Metropolis criteria, where the integration step is…

计算物理 · 物理学 2015-06-11 Jason A. Wagoner , Vijay S. Pande

We introduce an efficient MCMC sampling scheme to perform Bayesian inference in the M/G/1 queueing model given only observations of interdeparture times. Our MCMC scheme uses a combination of Gibbs sampling and simple Metropolis updates…

统计计算 · 统计学 2014-01-23 Alexander Y. Shestopaloff , Radford M. Neal

Metropolis-Hastings estimates intractable expectations - can differentiating the algorithm estimate their gradients? The challenge is that Metropolis-Hastings trajectories are not conventionally differentiable due to the discrete…

统计理论 · 数学 2024-06-21 Gaurav Arya , Moritz Schauer , Ruben Seyer

We introduce Markov chain Monte Carlo (MCMC) algorithms based on numerical approximations of piecewise-deterministic Markov processes obtained with the framework of splitting schemes. We present unadjusted as well as adjusted algorithms,…

概率论 · 数学 2025-11-04 Andrea Bertazzi , Paul Dobson , Pierre Monmarché

The Metropolis-within-Gibbs (MwG) algorithm is a widely used Markov Chain Monte Carlo method for sampling from high-dimensional distributions when exact conditional sampling is intractable. We study MwG with Random Walk Metropolis (RWM)…

机器学习 · 统计学 2025-10-01 Cecilia Secchi , Giacomo Zanella

The pseudo-marginal algorithm is a variant of the Metropolis--Hastings algorithm which samples asymptotically from a probability distribution when it is only possible to estimate unbiasedly an unnormalized version of its density.…

统计计算 · 统计学 2019-12-04 Sebastian M. Schmon , George Deligiannidis , Arnaud Doucet , Michael K. Pitt

Integer linear programming (ILP) remains computationally challenging due to its NP-complete nature despite its central role in scheduling, logistics, and design optimization. We introduce a fully quantum Metropolis-Hastings algorithm for…

量子物理 · 物理学 2026-02-16 Gabriel Escrig , Roberto Campos , M. A. Martin-Delgado

Hamiltonian Monte Carlo (HMC) is a powerful Markov chain Monte Carlo (MCMC) algorithm for estimating expectations with respect to continuous un-normalized probability distributions. MCMC estimators typically have higher variance than…

统计计算 · 统计学 2020-03-04 Dan Piponi , Matthew D. Hoffman , Pavel Sountsov

We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample from a sequence of probability distributions, corresponding to posterior distributions at different times in on-line applications. SMCMC proceeds as in usual MCMC…

统计理论 · 数学 2013-08-20 Yun Yang , David B. Dunson

Min et al. (2009) presented two complementary techniques that use the diffusion approximation to allow efficient Monte-Carlo radiation transfer in very optically thick regions: a modified random walk and a partial diffusion approximation.…

天体物理仪器与方法 · 物理学 2015-05-20 Thomas P. Robitaille

Tuning the durations of the Hamiltonian flow in Hamiltonian Monte Carlo (also called Hybrid Monte Carlo) (HMC) involves a tradeoff between computational cost and sampling quality, which is typically challenging to resolve in a satisfactory…

概率论 · 数学 2017-09-08 Nawaf Bou-Rabee , Jesus Maria Sanz-Serna

The multi-point Metropolis algorithm is an advanced MCMC technique based on drawing several correlated samples at each step and choosing one of them according to some normalized weights. We propose a variation of this technique where the…

统计计算 · 统计学 2012-10-18 Luca Martino , Victor Pascual Del Olmo , Jesse Read