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We develop an algorithm for automatic differentiation of Metropolis-Hastings samplers, allowing us to differentiate through probabilistic inference, even if the model has discrete components within it. Our approach fuses recent advances in…

Motivated by applications of distributed linear estimation, distributed control and distributed optimization, we consider the question of designing linear iterative algorithms for computing the average of numbers in a network. Specifically,…

Information Theory · Computer Science 2009-08-28 Kyomin Jung , Devavrat Shah , Jinwoo Shin

The Metropolis-Hastings (MH) algorithm is the prototype for a class of Markov chain Monte Carlo methods that propose transitions between states and then accept or reject the proposal. These methods generate a correlated sequence of random…

Computational Physics · Physics 2011-05-12 Albert H. Mao , Rohit V. Pappu

Sampling from distributions of implicitly defined shapes enables analysis of various energy functionals used for image segmentation. Recent work describes a computationally efficient Metropolis-Hastings method for accomplishing this task.…

Computer Vision and Pattern Recognition · Computer Science 2012-05-17 Jason Chang , John W. Fisher

A key goal in the design of probabilistic inference algorithms is identifying and exploiting properties of the distribution that make inference tractable. Lifted inference algorithms identify symmetry as a property that enables efficient…

Artificial Intelligence · Computer Science 2019-07-02 Steven Holtzen , Todd Millstein , Guy Van den Broeck

This paper introduces a new Markov Chain Monte Carlo method for Bayesian variable selection in high dimensional settings. The algorithm is a Hastings-Metropolis sampler with a proposal mechanism which combines a Metropolis Adjusted Langevin…

Statistics Theory · Mathematics 2015-09-14 Amandine Schreck , Gersende Fort , Sylvain Le Corff , Eric Moulines

Markov Chain Monte Carlo (MCMC) algorithms are routinely used to draw samples from distributions with intractable normalization constants. However, standard MCMC algorithms do not apply to doubly-intractable distributions in which there are…

Computation · Statistics 2012-07-02 Iain Murray , Zoubin Ghahramani , David MacKay

Couplings play a central role in the analysis of Markov chain convergence and in the construction of novel Markov chain Monte Carlo estimators, diagnostics, and variance reduction techniques. The set of possible couplings is often…

Statistics Theory · Mathematics 2023-01-09 John O'Leary , Guanyang Wang

This work develops a powerful and versatile framework for determining acceptance ratios in Metropolis-Hastings type Markov kernels widely used in statistical sampling problems. Our approach allows us to derive new classes of kernels which…

Statistics Theory · Mathematics 2021-07-21 Nathan E. Glatt-Holtz , Justin A. Krometis , Cecilia F. Mondaini

We present an algorithm to sample stochastic differential equations conditioned on rather general constraints, including integral constraints, endpoint constraints, and stochastic integral constraints. The algorithm is a pathspace…

Machine Learning · Statistics 2025-06-23 Tobias Grafke

We introduce new Gaussian proposals to improve the efficiency of the standard Hastings-Metropolis algorithm in Markov chain Monte Carlo (MCMC) methods, used for the sampling from a target distribution in large dimension $d$. The improved…

Numerical Analysis · Mathematics 2016-11-28 Alain Durmus , Gareth O. Roberts , Gilles Vilmart , Konstantinos C. Zygalakis

Markov Chain Monte Carlo (MCMC) algorithms are commonly used for their versatility in sampling from complicated probability distributions. However, as the dimension of the distribution gets larger, the computational costs for a satisfactory…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-01 Hector J. Hortua , Riccardo Volpi , Dimitri Marinelli , Luigi Malago

In recent years, various interacting particle samplers have been developed to sample from complex target distributions, such as those found in Bayesian inverse problems. These samplers are motivated by the mean-field limit perspective and…

Computation · Statistics 2023-12-22 Björn Sprungk , Simon Weissmann , Jakob Zech

We present here two irreversible Markov chain Monte Carlo algorithms for general discrete state systems, one of the algorithms is based on the random-scan Gibbs sampler for discrete states and the other on its improved version, the…

Statistical Mechanics · Physics 2020-05-08 Fahim Faizi , George Deligiannidis , Edina Rosta

We analyse computational efficiency of Metropolis-Hastings algorithms with stochastic AR(1) process proposals. These proposals include, as a subclass, discretized Langevin diffusion (e.g. MALA) and discretized Hamiltonian dynamics (e.g.…

Computation · Statistics 2016-05-23 Richard A. Norton , Colin Fox

Sampling from high dimensional distributions is a computational bottleneck in many scientific applications. Hamiltonian Monte Carlo (HMC), and in particular the No-U-Turn Sampler (NUTS), are widely used, yet they struggle on problems with a…

Computation · Statistics 2025-05-20 Jakob Robnik , Reuben Cohn-Gordon , Uroš Seljak

Hybrid Monte Carlo is a powerful Markov Chain Monte Carlo method for sampling from complex continuous distributions. However, a major limitation of HMC is its inability to be applied to discrete domains due to the lack of gradient signal.…

Machine Learning · Computer Science 2021-03-02 Priyank Jaini , Didrik Nielsen , Max Welling

This work introduces progressive spatio-temporal filtering, an efficient method to build all-frequency approximations to the light transport distribution into a scene by filtering individual samples produced by an underlying path sampler,…

Graphics · Computer Science 2020-05-26 Jacopo Pantaleoni

In dynamic Monte Carlo simulations, using for example the Metropolis dynamic, it is often required to simulate for long times and to simulate large systems. We present an overview of advanced algorithms to simulate for larger times and to…

Statistical Mechanics · Physics 2007-05-23 M. A. Novotny , Alice K. Kolakowska , G. Korniss

In this paper, we suggest a novel sampling method for Monte Carlo molecular simulations. In order to perform efficient sampling of molecular systems, it is advantageous to avoid extremely high energy configurations while also retaining the…

Computational Physics · Physics 2019-07-18 Katsuhiro Endo , Daisuke Yuhara , Kenji Yasuoka