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Smoothing in state-space models amounts to computing the conditional distribution of the latent state trajectory, given observations, or expectations of functionals of the state trajectory with respect to this distributions. For models that…

统计计算 · 统计学 2010-11-10 Jimmy Olsson , Tobias Rydén

Powerful ideas recently appeared in the literature are adjusted and combined to design improved samplers for Bayesian exponential random graph models. Different forms of adaptive Metropolis-Hastings proposals (vertical, horizontal and…

统计计算 · 统计学 2014-09-18 Alberto Caimo , Antonietta Mira

Markov chain Monte Carlo methods are often deemed too computationally intensive to be of any practical use for big data applications, and in particular for inference on datasets containing a large number $n$ of individual data points, also…

统计方法学 · 统计学 2015-05-13 Rémi Bardenet , Arnaud Doucet , Chris Holmes

I show how Markov chain sampling with the Metropolis-Hastings algorithm can be modified so as to take bigger steps when the distribution being sampled from has the characteristic that its density can be quickly recomputed for a new point if…

统计理论 · 数学 2007-06-13 Radford M. Neal

Bayesian methods and their implementations by means of sophisticated Monte Carlo techniques have become very popular in signal processing over the last years. Importance Sampling (IS) is a well-known Monte Carlo technique that approximates…

统计计算 · 统计学 2022-01-21 L. Martino , V. Elvira , G. Camps-Valls

Over the last decades, various "non-linear" MCMC methods have arisen. While appealing for their convergence speed and efficiency, their practical implementation and theoretical study remain challenging. In this paper, we introduce a…

统计理论 · 数学 2022-08-04 Grégoire Clarté , Antoine Diez , Jean Feydy

There has been considerable interest in designing Markov chain Monte Carlo algorithms by exploiting numerical methods for Langevin dynamics, which includes Hamiltonian dynamics as a deterministic case. A prominent approach is Hamiltonian…

统计计算 · 统计学 2021-06-08 Zexi Song , Zhiqiang Tan

We introduce a Monte Carlo algorithm to efficiently compute transport properties of chaotic dynamical systems. Our method exploits the importance sampling technique that favors trajectories in the tail of the distribution of displacements,…

统计力学 · 物理学 2018-05-25 Diego Tapias , David P. Sanders , Eduardo G. Altmann

We show that it is feasible to carry out exact Bayesian inference for non-Gaussian state space models using an adaptive Metropolis Hastings sampling scheme with the likelihood approximated by the particle filter. Furthermore, an adapyive…

统计计算 · 统计学 2009-11-03 Ralph Silva , Paolo Giordani , Robert Kohn , Mike Pitt

Stochastic gradient Markov Chain Monte Carlo algorithms are popular samplers for approximate inference, but they are generally biased. We show that many recent versions of these methods (e.g. Chen et al. (2014)) cannot be corrected using…

机器学习 · 统计学 2021-02-03 Adrià Garriga-Alonso , Vincent Fortuin

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…

统计计算 · 统计学 2020-03-10 Akihiko Nishimura , David Dunson

Non-Gaussian distributions in cosmology are commonly evaluated with Monte Carlo Markov-chain methods, as the Fisher-matrix formalism is restricted to the Gaussian case. The Metropolis-Hastings algorithm will provide samples from the…

宇宙学与河外天体物理 · 物理学 2023-05-15 Lennart Röver , Heinrich von Campe , Maximilian Philipp Herzog , Rebecca Maria Kuntz , Björn Malte Schäfer

The Multilevel Monte Carlo method is an efficient variance reduction technique. It uses a sequence of coarse approximations to reduce the computational cost in uncertainty quantification applications. The method is nowadays often considered…

数值分析 · 数学 2018-06-15 Pieterjan Robbe , Dirk Nuyens , Stefan Vandewalle

MCMC algorithms such as Metropolis-Hastings algorithms are slowed down by the computation of complex target distributions as exemplified by huge datasets. We offer in this paper a useful generalisation of the Delayed Acceptance approach,…

统计计算 · 统计学 2015-03-06 Marco Banterle , Clara Grazian , Anthony Lee , Christian P. Robert

Markov chain Monte Carlo (MCMC) methods are powerful computational tools for analysis of complex statistical problems. However, their computational efficiency is highly dependent on the chosen proposal distribution, which is generally…

统计理论 · 数学 2014-10-02 Isambi S. Mbalawata , Simo Särkkä , Matti Vihola , Heikki Haario

The Metropolis algorithm is one of the Markov chain Monte Carlo (MCMC) methods that realize sampling from the target probability distribution. In this paper, we are concerned with the sampling from the distribution in non-identifiable cases…

统计理论 · 数学 2024-06-04 Kenji Nagata , Yoh-ichi Mototake

Markov Chain Monte Carlo (MCMC) algorithms are widely used for stochastic optimization, sampling, and integration of mathematical objective functions, in particular, in the context of Bayesian inverse problems and parameter estimation. For…

数据分析、统计与概率 · 物理学 2020-10-12 Shashank Kumbhare , Amir Shahmoradi

Monte Carlo simulations are an essential tool in particle physics data analysis. Events are typically generated alongside weights that redistribute the cross section of the simulated process across the phase space. These weights can be…

高能物理 - 唯象学 · 物理学 2026-05-13 Benjamin Nachman , Dennis Noll

The multi-point Metropolis algorithm is an advanced MCMC technique based on drawing several correlated samples at each step and choosing one of them according to some normalized weights. We propose a variation of this technique where the…

统计计算 · 统计学 2012-10-18 Luca Martino , Victor Pascual Del Olmo , Jesse Read

Acceptance-rejection (AR), Independent Metropolis Hastings (IMH) or importance sampling (IS) Monte Carlo (MC) simulation algorithms all involve computing ratios of probability density functions (pdfs). On the other hand, classifiers…

统计方法学 · 统计学 2023-09-11 Elouan Argouarc'h , François Desbouvries