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We introduce a powerful and flexible MCMC algorithm for stochastic simulation. The method builds on a pseudo-marginal method originally introduced in [Genetics 164 (2003) 1139--1160], showing how algorithms which are approximations to an…

Statistics Theory · Mathematics 2009-04-01 Christophe Andrieu , Gareth O. Roberts

We propose a sequential Monte Carlo (SMC) method to efficiently and accurately compute cut-Bayesian posterior quantities of interest, variations of standard Bayesian approaches constructed primarily to account for model misspecification. We…

Computation · Statistics 2024-11-13 Joseph Mathews , Giri Gopalan , James Gattiker , Sean Smith , Devin Francom

Many recent Markov chain Monte Carlo (MCMC) samplers leverage continuous dynamics to define a transition kernel that efficiently explores a target distribution. In tandem, a focus has been on devising scalable variants that subsample the…

Statistics Theory · Mathematics 2015-11-03 Yi-An Ma , Tianqi Chen , Emily B. Fox

Markov chain Monte Carlo (MCMC) algorithms are based on the construction of a Markov chain with transition probabilities leaving invariant a probability distribution of interest. In this work, we look at these transition probabilities as…

Probability · Mathematics 2024-10-01 Rocco Caprio , Adam M. Johansen

Over decades, Markov chain Monte Carlo (MCMC) methods have been widely studied, with a typical application being the quantification of posterior uncertainties in Bayesian system identification of structural dynamic models. To address the…

Applications · Statistics 2026-04-28 Xianghao Meng , Yong Huang , James L. Beck , Kui Jiang , Hui Li

There is a tension between robustness and efficiency when designing Markov chain Monte Carlo (MCMC) sampling algorithms. Here we focus on robustness with respect to tuning parameters, showing that more sophisticated algorithms tend to be…

Computation · Statistics 2020-05-12 Samuel Livingstone , Giacomo Zanella

Exact approximations of Markov chain Monte Carlo (MCMC) algorithms are a general emerging class of sampling algorithms. One of the main ideas behind exact approximations consists of replacing intractable quantities required to run standard…

Computation · Statistics 2015-10-30 Christophe Andrieu , Matti Vihola

Many problems in the physical sciences, machine learning, and statistical inference necessitate sampling from a high-dimensional, multi-modal probability distribution. Markov Chain Monte Carlo (MCMC) algorithms, the ubiquitous tool for this…

Data Analysis, Statistics and Probability · Physics 2022-05-12 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden

Sampling problems are widely regarded as the task for which quantum computers can most readily provide a quantum advantage. Leveraging this feature, the quantum-enhanced Markov chain Monte Carlo [Layden, D. et al., Nature 619, 282-287…

Quantum Physics · Physics 2026-02-26 Yuichiro Nakano , Ken N. Okada , Keisuke Fujii

Statistical machine learning often uses probabilistic algorithms, such as Markov Chain Monte Carlo (MCMC), to solve a wide range of problems. Many accelerators are proposed using specialized hardware to address sampling inefficiency, the…

Signal Processing · Electrical Eng. & Systems 2020-03-09 Xiangyu Zhang , Sayan Mukherjee , Alvin R. Lebeck

Markov chain Monte Carlo is an inherently serial algorithm. Although likelihood calculations for individual steps can sometimes be parallelized, the serial evolution of the process is widely viewed as incompatible with parallelization,…

Computation · Statistics 2013-12-31 Douglas N. VanDerwerken , Scott C. Schmidler

Many random processes can be simulated as the output of a deterministic model accepting random inputs. Such a model usually describes a complex mathematical or physical stochastic system and the randomness is introduced in the input…

Machine Learning · Statistics 2012-11-21 A. Gokcen Mahmutoglu , Alper T. Erdogan , Alper Demir

We construct a new framework for accelerating Markov chain Monte Carlo in posterior sampling problems where standard methods are limited by the computational cost of the likelihood, or of numerical models embedded therein. Our approach…

Methodology · Statistics 2017-01-06 Patrick R. Conrad , Youssef M. Marzouk , Natesh S. Pillai , Aaron Smith

The paper proposes in-memory computing (IMC) solution for the design and implementation of the Advanced Encryption Standard (AES) based cryptographic algorithm. This research aims at increasing the cyber security of autonomous driverless…

Cryptography and Security · Computer Science 2024-05-10 Hala Ajmi , Fakhreddine Zayer , Amira Hadj Fredj , Belgacem Hamdi , Baker Mohammad , Naoufel Werghi , Jorge Dias

Practitioners of Bayesian statistics have long depended on Markov chain Monte Carlo (MCMC) to obtain samples from intractable posterior distributions. Unfortunately, MCMC algorithms are typically serial, and do not scale to the large…

Machine Learning · Statistics 2015-06-11 Maxim Rabinovich , Elaine Angelino , Michael I. Jordan

Markov chain Monte Carlo (MCMC) is the predominant tool used in Bayesian parameter estimation for hierarchical models. When the model expands due to an increasing number of hierarchical levels, number of groups at a particular level, or…

Computation · Statistics 2016-06-22 Will Landau , Jarad Niemi

Markov chain Monte Carlo (MCMC) is a simulation method commonly used for estimating expectations with respect to a given distribution. We consider estimating the covariance matrix of the asymptotic multivariate normal distribution of a…

Methodology · Statistics 2017-06-06 Ning Dai , Galin L. Jones

In statistical analysis, Monte Carlo (MC) stands as a classical numerical integration method. When encountering challenging sample problem, Markov chain Monte Carlo (MCMC) is a commonly employed method. However, the MCMC estimator is biased…

Numerical Analysis · Mathematics 2024-11-05 Jiarui Du , Zhijian He

Monte Carlo (MC) methods are widely used for Bayesian inference and optimization in statistics, signal processing and machine learning. A well-known class of MC methods are Markov Chain Monte Carlo (MCMC) algorithms. In order to foster…

Computation · Statistics 2016-09-27 L. Martino , V. Elvira , D. Luengo , J. Corander , F. Louzada

Compute-in-memory (CIM) techniques are widely employed in energy-efficient artificial intelligent (AI) processors. They alleviate power and latency bottlenecks caused by extensive data movements between compute and storage units. To extend…

Hardware Architecture · Computer Science 2025-12-15 Jianyi Yu , Tengxiao Wang , Yuxuan Wang , Xiang Fu , Fei Qiao , Ying Wang , Rui Yuan , Liyuan Liu , Cong Shi
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