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Markov chain Monte Carlo (MCMC) is a powerful methodology for the approximation of posterior distributions. However, the iterative nature of MCMC does not naturally facilitate its use with modern highly parallel computation on HPC and cloud…

Most of Markov Chain Monte Carlo (MCMC) and sequential Monte Carlo (SMC) algorithms in existing probabilistic programming systems suboptimally use only model priors as proposal distributions. In this work, we describe an approach for…

Artificial Intelligence · Computer Science 2016-05-17 Yura N Perov , Tuan Anh Le , Frank Wood

This paper presents an in-memory computing (IMC) architecture developed on an 8x8 array of 8T SRAM cells. This architecture enables both multi-bit parallel Multiply-Accumulate (MAC) operations and standard memory processing through…

Hardware Architecture · Computer Science 2025-12-02 Amogh K M , Sunita M S

Learning-based approaches have witnessed great successes in blind single image super-resolution (SISR) tasks, however, handcrafted kernel priors and learning based kernel priors are typically required. In this paper, we propose a…

Image and Video Processing · Electrical Eng. & Systems 2024-06-14 Jingyuan Xia , Zhixiong Yang , Shengxi Li , Shuanghui Zhang , Yaowen Fu , Deniz Gündüz , Xiang Li

Monte Carlo methods are essential tools for Bayesian inference. Gibbs sampling is a well-known Markov chain Monte Carlo (MCMC) algorithm, extensively used in signal processing, machine learning, and statistics, employed to draw samples from…

Computation · Statistics 2017-12-21 Luca Martino , Victor Elvira , Gustau Camps-Valls

Markov chain Monte Carlo (MCMC) algorithms are ubiquitous in Bayesian computations. However, they need to access the full data set in order to evaluate the posterior density at every step of the algorithm. This results in a great…

Machine Learning · Statistics 2016-09-21 Mike Giles , Tigran Nagapetyan , Lukasz Szpruch , Sebastian Vollmer , Konstantinos Zygalakis

Analog compute-in-memory (CIM) in static random-access memory (SRAM) is promising for accelerating deep learning inference by circumventing the memory wall and exploiting ultra-efficient analog low-precision arithmetic. Latest analog CIM…

Hardware Architecture · Computer Science 2024-07-19 Zhiyu Chen , Ziyuan Wen , Weier Wan , Akhil Reddy Pakala , Yiwei Zou , Wei-Chen Wei , Zengyi Li , Yubei Chen , Kaiyuan Yang

I introduce a Markov chain Monte Carlo (MCMC) scheme in which sampling from a distribution with density pi(x) is done using updates operating on an "ensemble" of states. The current state x is first stochastically mapped to an ensemble,…

Computation · Statistics 2011-01-04 Radford M. Neal

We introduce a new micro-macro Markov chain Monte Carlo method (mM-MCMC) with indirect reconstruction to sample invariant distributions of molecular dynamics systems that exhibit a time-scale separation between the microscopic (fast)…

Numerical Analysis · Mathematics 2020-03-27 Hannes Vandecasteele , Giovannni Samaey

Markov Chain Monte Carlo (MCMC) sampling from a posterior distribution corresponding to a massive data set can be computationally prohibitive since producing one sample requires a number of operations that is linear in the data size. In…

Machine Learning · Statistics 2017-07-03 Reihaneh Entezari , Radu V. Craiu , Jeffrey S. Rosenthal

We propose a stochastic gradient Markov chain Monte Carlo (SG-MCMC) algorithm for scalable inference in mixed-membership stochastic blockmodels (MMSB). Our algorithm is based on the stochastic gradient Riemannian Langevin sampler and…

Machine Learning · Computer Science 2015-10-23 Wenzhe Li , Sungjin Ahn , Max Welling

We present Generative Monte Carlo (GMC), a novel paradigm for particle transport simulation that integrates generative artificial intelligence directly into the stochastic solution of the linear Boltzmann equation. By reformulating the…

Computational Physics · Physics 2025-12-17 Joseph A. Farmer , Aidan Murray , Johannes Krotz , Ryan G. McClarren

For big data analysis, high computational cost for Bayesian methods often limits their applications in practice. In recent years, there have been many attempts to improve computational efficiency of Bayesian inference. Here we propose an…

Computation · Statistics 2017-04-19 Cheng Zhang , Babak Shahbaba , Hongkai Zhao

Monte Carlo methods -- such as Markov chain Monte Carlo (MCMC) and piecewise deterministic Markov process (PDMP) samplers -- provide asymptotically exact estimators of expectations under a target distribution. There is growing interest in…

Computation · Statistics 2024-09-09 Adrien Corenflos , Matthew Sutton , Nicolas Chopin

The Markov chain Monte Carlo (MCMC) method is used to evaluate the imaginary-time path integral of a quantum oscillator with a potential that includes both a quadratic term and a quartic term whose coupling is varied by several orders of…

Computational Physics · Physics 2020-08-27 Shikhar Mittal , Marise J. E. Westbroek , Peter R. King , Dimitri D. Vvedensky

We propose an approach to lossy source coding, utilizing ideas from Gibbs sampling, simulated annealing, and Markov Chain Monte Carlo (MCMC). The idea is to sample a reconstruction sequence from a Boltzmann distribution associated with an…

Information Theory · Computer Science 2016-11-17 Shirin Jalali , Tsachy Weissman

Markov Chain Monte Carlo (MCMC) sampling methods are widely used but often encounter either slow convergence or biased sampling when applied to multimodal high dimensional distributions. In this paper, we present a general framework of…

Computation · Statistics 2017-09-12 Ricky Fok , Aijun An , Xiaogang Wang

We introduce a stable, well tested Python implementation of the affine-invariant ensemble sampler for Markov chain Monte Carlo (MCMC) proposed by Goodman & Weare (2010). The code is open source and has already been used in several published…

Instrumentation and Methods for Astrophysics · Physics 2013-11-26 Daniel Foreman-Mackey , David W. Hogg , Dustin Lang , Jonathan Goodman

Inferring directed acyclic graphs (DAGs) from data via Markov chain Monte Carlo (MCMC) is computationally challenging in moderate-to-high dimensional settings because their discrete sampling space grows super-exponentially with the number…

Methodology · Statistics 2026-04-14 Morris Greenberg , Kieran R Campbell , Radu Craiu

Hamiltonian Monte Carlo (HMC) is an efficient method of simulating smooth distributions and has motivated the widely used No-U-turn Sampler (NUTS) and software Stan. We build on NUTS and the technique of "unbiased sampling" to design HMC…

Computation · Statistics 2022-12-26 George M. Leigh , Amanda R. Northrop