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Sequential Monte Carlo (SMC) methods are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. We propose a new SMC algorithm to compute the expectation of additive functionals recursively.…

统计方法学 · 统计学 2010-12-27 Pierre Del Moral , Arnaud Doucet , Sumeetpal Singh

Sequential Monte Carlo (SMC) methods are a class of Monte Carlo methods that are used to obtain random samples of a high dimensional random variable in a sequential fashion. Many problems encountered in applications often involve different…

统计方法学 · 统计学 2018-12-20 Chencheng Cai , Rong Chen , Ming Lin

Sequential Monte Carlo (SMC) methods are a class of techniques to sample approximately from any sequence of probability distributions using a combination of importance sampling and resampling steps. This paper is concerned with the…

统计理论 · 数学 2012-03-05 Pierre Del Moral , Arnaud Doucet , Ajay Jasra

We propose two new Bayesian smoothing methods for general state-space models with unknown parameters. The first approach is based on the particle learning and smoothing algorithm, but with an adjustment in the backward resampling weights.…

统计计算 · 统计学 2016-04-20 Biao Yang , Jonathan R. Stroud , Gabriel Huerta

Stochastic approximation Monte Carlo (SAMC) has recently been proposed by Liang, Liu and Carroll [J. Amer. Statist. Assoc. 102 (2007) 305--320] as a general simulation and optimization algorithm. In this paper, we propose to improve its…

统计理论 · 数学 2009-08-26 Faming Liang

Many high dimensional optimization problems can be reformulated into a problem of finding theoptimal state path under an equivalent state space model setting. In this article, we present a general emulation strategy for developing a state…

统计方法学 · 统计学 2019-11-19 Chencheng Cai , Rong Chen

We propose sequential Monte Carlo (SMC) methods for sampling the posterior distribution of state-space models under highly informative observation regimes, a situation in which standard SMC methods can perform poorly. A special case is…

统计计算 · 统计学 2015-07-10 Pierre Del Moral , Lawrence M. Murray

In the last decade, sequential Monte-Carlo methods (SMC) emerged as a key tool in computational statistics. These algorithms approximate a sequence of distributions by a sequence of weighted empirical measures associated to a weighted…

统计理论 · 数学 2007-06-13 R. Douc , France E. Moulines

This paper develops a novel sequential Monte Carlo (SMC) approach for joint state and parameter estimation that can deal efficiently with abruptly changing parameters which is a common case when tracking maneuvering targets. The approach…

统计计算 · 统计学 2015-10-12 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

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…

统计计算 · 统计学 2021-09-17 Naoki Awaya , Yasuhiro Omori

Sequential Monte Carlo (SMC) algorithms were originally designed for estimating intractable conditional expectations within state-space models, but are now routinely used to generate approximate samples in the context of general-purpose…

统计理论 · 数学 2020-05-11 Jonathan H. Huggins , Daniel M. Roy

We investigate the stability of a Sequential Monte Carlo (SMC) method applied to the problem of sampling from a target distribution on $\mathbb{R}^d$ for large $d$. It is well known that using a single importance sampling step one produces…

统计计算 · 统计学 2012-04-19 Alexandros Beskos , Dan Crisan , Ajay Jasra

State space models (SSM) have been widely applied for the analysis and visualization of large sequential datasets. Sequential Monte Carlo (SMC) is a very popular particle-based method to sample latent states from intractable posteriors.…

机器学习 · 计算机科学 2019-01-07 Duo Xu

In many problems, complex non-Gaussian and/or nonlinear models are required to accurately describe a physical system of interest. In such cases, Monte Carlo algorithms are remarkably flexible and extremely powerful approaches to solve such…

统计计算 · 统计学 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Gareth W. Peters , Yves Delignon

State-space models have been used in many applications, including econometrics, engineering, medical research, etc. The maximum likelihood estimation (MLE) of the static parameter of general state-space models is not straightforward because…

统计方法学 · 统计学 2025-02-04 Yuxiong Gao , Wentao Li , Rong Chen

We consider the computational efficiency of Monte Carlo (MC) and Multilevel Monte Carlo (MLMC) methods applied to partial differential equations with random coefficients. These arise, for example, in groundwater flow modelling, where a…

数值分析 · 数学 2024-12-12 Anastasia Istratuca , Aretha Teckentrup

Sequential Monte Carlo (SMC) is a class of algorithms that approximate high-dimensional expectations of a Markov chain. SMC algorithms typically include a resampling step. There are many possible ways to resample, but the relative…

数值分析 · 数学 2019-04-01 Robert J. Webber

Modern macroeconometrics often relies on time series models for which it is time-consuming to evaluate the likelihood function. We demonstrate how Bayesian computations for such models can be drastically accelerated by reweighting and…

计量经济学 · 经济学 2024-09-10 Marko Mlikota , Frank Schorfheide

The problem of optimising functions with intractable gradients frequently arise in machine learning and statistics, ranging from maximum marginal likelihood estimation procedures to fine-tuning of generative models. Stochastic approximation…

机器学习 · 统计学 2026-01-30 James Cuin , Davide Carbone , Yanbo Tang , O. Deniz Akyildiz

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

统计方法学 · 统计学 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön
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