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Related papers: Diagrammatic Coupled Cluster Monte Carlo

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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

We recently proposed a novel approach to converging electronic energies equivalent to high-level coupled-cluster (CC) computations by combining the deterministic CC($P$;$Q$) formalism with the stochastic configuration interaction (CI) and…

Chemical Physics · Physics 2021-03-23 J. Emiliano Deustua , Jun Shen , Piotr Piecuch

The Hamiltonian Monte Carlo (HMC) method has been recognized as a powerful sampling tool in computational statistics. We show that performance of HMC can be significantly improved by incorporating importance sampling and an irreversible…

Computation · Statistics 2019-07-26 Tijana Radivojević , Elena Akhmatskaya

We present a consensus Monte Carlo algorithm that scales existing Bayesian nonparametric models for clustering and feature allocation to big data. The algorithm is valid for any prior on random subsets such as partitions and latent feature…

Computation · Statistics 2020-02-26 Yang Ni , Yuan Ji , Peter Mueller

Hamiltonian Monte Carlo (HMC) is a powerful Markov Chain Monte Carlo (MCMC) method for sampling from complex high-dimensional continuous distributions. However, in many situations it is necessary or desirable to combine HMC with other…

Computation · Statistics 2022-01-24 Guangyao Zhou

Hybrid Monte-Carlo (HMC) sampling smoother is a fully non-Gaussian four-dimensional data assimilation algorithm that works by directly sampling the posterior distribution formulated in the Bayesian framework. The smoother in its original…

Numerical Analysis · Computer Science 2016-12-21 Ahmed Attia , Razvan Stefanescu , Adrian Sandu

We discuss Hamiltonian Monte Carlo (HMC) and event-chain Monte Carlo (ECMC) for the one-dimensional chain of particles with harmonic interactions and benchmark them against local reversible Metropolis algorithms. While HMC achieves…

Statistical Mechanics · Physics 2024-11-19 Werner Krauth

Dirichlet Process Mixture Models (DPMMs) are widely used to address clustering problems. Their main advantage lies in their ability to automatically estimate the number of clusters during the inference process through the Bayesian…

Machine Learning · Statistics 2023-12-19 Reda Khoufache , Mustapha Lebbah , Hanene Azzag , Etienne Goffinet , Djamel Bouchaffra

Using a dual representation of lattice fermion models that is based on spin-charge transformation and fermionisation of the original description, I derive an algorithm for diagrammatic Monte Carlo simulation of strongly correlated systems.…

Strongly Correlated Electrons · Physics 2018-02-21 Johan Carlström

We present a novel variant of the multi-level Monte Carlo method that effectively utilizes a reserved computational budget on a high-performance computing system to minimize the mean squared error. Our approach combines concepts of the…

Numerical Analysis · Mathematics 2023-07-21 Niklas Baumgarten , Sebastian Krumscheid , Christian Wieners

We present a sequential Monte Carlo sampler for coalescent based Bayesian hierarchical clustering. The model is appropriate for multivariate non-\iid data and our approach offers a substantial reduction in computational cost when compared…

Applications · Statistics 2016-08-11 Ricardo Henao , Joseph E. Lucas

Efficient sampling from high-dimensional distributions is a challenging issue which is encountered in many large data recovery problems involving Markov chain Monte Carlo schemes. In this context, sampling using Hamiltonian dynamics is one…

Methodology · Statistics 2015-02-02 Lotfi Chaari , Jean-Yves Tourneret , Caroline Chaux , Hadj Batatia

We present an efficient computational approach to sample the histories of nonlinear stochastic processes. This framework builds upon recent work on casting a $d$-dimensional stochastic dynamical system into a $d+1$-dimensional equilibrium…

Statistical Mechanics · Physics 2009-11-11 Natali Gulbahce , Francis J. Alexander , Gregory Johnson

We propose a splitting Hamiltonian Monte Carlo (SHMC) algorithm, which can be computationally efficient when combined with the random mini-batch strategy. By splitting the potential energy into numerically nonstiff and stiff parts, one…

Numerical Analysis · Mathematics 2022-06-23 Lei Li , Lin Liu , Yuzhou Peng

Hamiltonian Monte Carlo (HMC) and related algorithms have become routinely used in Bayesian computation. In this article, we present a simple and provably accurate method to improve the efficiency of HMC and related algorithms with…

Computation · Statistics 2020-03-10 Akihiko Nishimura , David Dunson

Hamiltonian Monte Carlo has emerged as a standard tool for posterior computation. In this article, we present an extension that can efficiently explore target distributions with discontinuous densities. Our extension in particular enables…

Computation · Statistics 2020-06-09 Akihiko Nishimura , David Dunson , Jianfeng Lu

In this work, we introduce a novel class of adaptive Monte Carlo methods, called adaptive independent sticky MCMC algorithms, for efficient sampling from a generic target probability density function (pdf). The new class of algorithms…

Computation · Statistics 2025-04-09 L. Martino , R. Casarin , F. Leisen , D. Luengo

Bayesian formulation of modern day signal processing problems has called for improved Markov chain Monte Carlo (MCMC) sampling algorithms for inference. The need for efficient sampling techniques has become indispensable for high…

Computation · Statistics 2025-10-28 Apratim Shukla , Dootika Vats , Eric C. Chi

Recently developed pair coupled cluster doubles (pCCD) theory successfully reproduces doubly occupied configuration interaction (DOCI) with mean field cost. However, the projective nature of pCCD makes the method non-variational and thus…

Chemical Physics · Physics 2016-08-19 Luning Zhao , Eric Neuscamman

Numerical Generalized Randomized Hamiltonian Monte Carlo is introduced, as a robust, easy to use and computationally fast alternative to conventional Markov chain Monte Carlo methods for continuous target distributions. A wide class of…

Computation · Statistics 2022-02-01 Tore Selland Kleppe