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Bayesian max-margin models have shown superiority in various practical applications, such as text categorization, collaborative prediction, social network link prediction and crowdsourcing, and they conjoin the flexibility of Bayesian…

Machine Learning · Statistics 2016-10-19 Wenbo Hu , Jun Zhu , Bo Zhang

An efficient simulation-based methodology is proposed for the rolling window estimation of state space models, called particle rolling Markov chain Monte Carlo (MCMC) with double block sampling. In our method, which is based on Sequential…

Computation · Statistics 2021-09-17 Naoki Awaya , Yasuhiro Omori

A review of the Loop Algorithm, its generalizations, and its relation to some other Monte Carlo techniques is given. The loop algorithm is a Quantum Monte Carlo procedure which employs nonlocal changes of worldline configurations,…

Strongly Correlated Electrons · Physics 2014-10-13 H. G. Evertz

Sampling-based motion planning methods, while effective in high-dimensional spaces, often suffer from inefficiencies due to irregular sampling distributions, leading to suboptimal exploration of the configuration space. In this paper, we…

Robotics · Computer Science 2025-08-28 Makram Chahine , T. Konstantin Rusch , Zach J. Patterson , Daniela Rus

Markov chain Monte Carlo (MCMC) algorithms are widely used to sample from complicated distributions, especially to sample from the posterior distribution in Bayesian inference. However, MCMC is not directly applicable when facing the doubly…

Computation · Statistics 2019-03-29 Guanyang Wang

We propose quantum algorithms that provide provable speedups for Markov Chain Monte Carlo (MCMC) methods commonly used for sampling from probability distributions of the form $\pi \propto e^{-f}$, where $f$ is a potential function. Our…

Quantum Physics · Physics 2025-04-07 Guneykan Ozgul , Xiantao Li , Mehrdad Mahdavi , Chunhao Wang

We present a Markov chain Monte Carlo scheme based on merges and splits of groups that is capable of efficiently sampling from the posterior distribution of network partitions, defined according to the stochastic block model (SBM). We…

Physics and Society · Physics 2020-07-14 Tiago P. Peixoto

In this paper we study asymptotic properties of different data-augmentation-type Markov chain Monte Carlo algorithms sampling from mixture models comprising discrete as well as continuous random variables. Of particular interest to us is…

Computation · Statistics 2014-04-04 Randal Douc , Florian Maire , Jimmy Olsson

There has been substantial interest in developing Markov chain Monte Carlo algorithms based on piecewise-deterministic Markov processes. However existing algorithms can only be used if the target distribution of interest is differentiable…

Statistics Theory · Mathematics 2021-11-12 Augustin Chevallier , Sam Power , Andi Q. Wang , Paul Fearnhead

This paper introduces a concept of approximate spectral gap to analyze the mixing time of Markov Chain Monte Carlo (MCMC) algorithms for which the usual spectral gap is degenerate or almost degenerate. We use the idea to analyze a class of…

Computation · Statistics 2019-08-26 Yves F. Atchadé

Cyclical MCMC is a novel MCMC framework recently proposed by Zhang et al. (2019) to address the challenge posed by high-dimensional multimodal posterior distributions like those arising in deep learning. The algorithm works by generating a…

Computation · Statistics 2024-03-04 Liwei Wang , Xinru Liu , Aaron Smith , Yves Atchade

A binary matrix can be scanned by moving a fixed rectangular window (submatrix) across it, rather like examining it closely under a microscope. With each viewing, a convenient measurement is the number of 1s visible in the window, which…

Combinatorics · Mathematics 2007-05-23 A. Frosini , M. Nivat

Sampling from complicated probability distributions is a hard computational problem arising in many fields, including statistical physics, optimization, and machine learning. Quantum computers have recently been used to sample from…

We consider conditional tests for non-negative discrete exponential families. We develop two Markov Chain Monte Carlo (MCMC) algorithms which allow us to sample from the conditional space and to perform approximated tests. The first…

Computation · Statistics 2017-07-27 Roberto Fontana , Francesca Romana Crucinio

We present a new framework to derandomise certain Markov chain Monte Carlo (MCMC) algorithms. As in MCMC, we first reduce counting problems to sampling from a sequence of marginal distributions. For the latter task, we introduce a method…

Data Structures and Algorithms · Computer Science 2023-04-05 Weiming Feng , Heng Guo , Chunyang Wang , Jiaheng Wang , Yitong Yin

Restricted Boltzmann Machines are simple and powerful generative models that can encode any complex dataset. Despite all their advantages, in practice the trainings are often unstable and it is difficult to assess their quality because the…

Machine Learning · Computer Science 2023-03-16 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane

We introduce an approach for efficient Markov chain Monte Carlo (MCMC) sampling for challenging high-dimensional distributions in sparse Bayesian learning (SBL). The core innovation involves using hierarchical prior-normalizing transport…

Numerical Analysis · Mathematics 2025-05-30 Jan Glaubitz , Youssef Marzouk

The random numbers driving Markov chain Monte Carlo (MCMC) simulation are usually modeled as independent U(0,1) random variables. Tribble [Markov chain Monte Carlo algorithms using completely uniformly distributed driving sequences (2007)…

Statistics Theory · Mathematics 2011-05-11 S. Chen , J. Dick , A. B. Owen

Markov Chain Monte Carlo (MCMC) proves to be powerful for Bayesian inference and in particular for exoplanet radial velocity fitting because MCMC provides more statistical information and makes better use of data than common approaches like…

Instrumentation and Methods for Astrophysics · Physics 2014-01-30 Fengji Hou , Jonathan Goodman , David W. Hogg , Jonathan Weare , Christian Schwab

The Markov Chain Monte Carlo method is at the heart of efficient approximation schemes for a wide range of problems in combinatorial enumeration and statistical physics. It is therefore very natural and important to determine whether…

Quantum Physics · Physics 2009-11-13 Pawel Wocjan , Anura Abeyesinghe
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