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"Particle methods" are sequential Monte Carlo algorithms, typically involving importance sampling, that are used to estimate and sample from joint and marginal densities from a collection of a, presumably increasing, number of random…

统计计算 · 统计学 2014-07-17 J. N. Corcoran , D. Jennings

For challenging state estimation problems arising in domains like vision and robotics, particle-based representations attractively enable temporal reasoning about multiple posterior modes. Particle smoothers offer the potential for more…

机器学习 · 计算机科学 2025-02-18 Ali Younis , Erik B. Sudderth

This paper introduces the {\it particle swarm filter} (not to be confused with particle swarm optimization): a recursive and embarrassingly parallel algorithm that targets an approximation to the sequence of posterior predictive…

统计方法学 · 统计学 2021-02-16 Taylor R. Brown

A prevalent problem in general state-space models is the approximation of the smoothing distribution of a state, or a sequence of states, conditional on the observations from the past, the present, and the future. The aim of this paper is…

统计理论 · 数学 2009-04-03 Randal Douc , Aurelien Garivier , Eric Moulines , Jimmy Olsson

Particle smoothing methods are used for inference of stochastic processes based on noisy observations. Typically, the estimation of the marginal posterior distribution given all observations is cumbersome and computational intensive. In…

机器学习 · 计算机科学 2017-05-24 H. -Ch. Ruiz , H. J. Kappen

We present approximate algorithms for performing smoothing in a class of high-dimensional state-space models via sequential Monte Carlo methods ("particle filters"). In high dimensions, a prohibitively large number of Monte Carlo samples…

统计计算 · 统计学 2017-09-21 Axel Finke , Sumeetpal S. Singh

Computing smoothing distributions, the distributions of one or more states conditional on past, present, and future observations is a recurring problem when operating on general hidden Markov models. The aim of this paper is to provide a…

概率论 · 数学 2012-02-15 Randal Douc , Aurélien Garivier , Eric Moulines , Jimmy Olsson

This paper presents a novel algorithm, the particle-based, rapid incremental smoother (PaRIS), for efficient online approximation of smoothed expectations of additive state functionals in general hidden Markov models. The algorithm, which…

统计计算 · 统计学 2014-12-25 Jimmy Olsson , Johan Westerborn

We present a novel algorithm, an adaptive-lag smoother, approximating efficiently, in an online fashion, sequences of expectations under the marginal smoothing distributions in general state-space models. The algorithm evolves recursively a…

统计计算 · 统计学 2019-10-23 Johan Alenlöv , Jimmy Olsson

The objective of this article is to study the asymptotic behavior of a new particle filtering approach in the context of hidden Markov models (HMMs). In particular, we develop an algorithm where the latent-state sequence is segmented into…

统计理论 · 数学 2014-09-16 Hock Peng Chan , Chiang Wee Heng , Ajay Jasra

When classical particle filtering algorithms are used for maximum likelihood parameter estimation in nonlinear state-space models, a key challenge is that estimates of the likelihood function and its derivatives are inherently noisy. The…

统计计算 · 统计学 2017-11-30 Andreas Svensson , Fredrik Lindsten , Thomas B. Schön

A prevalent problem in general state space models is the approximation of the smoothing distribution of a state conditional on the observations from the past, the present, and the future. The aim of this paper is to provide a rigorous…

统计理论 · 数学 2016-05-30 Thi Ngoc Minh Nguyen , Sylvain Le Corff , Eric Moulines

Particle filtering is used to compute good nonlinear estimates of complex systems. It samples trajectories from a chosen distribution and computes the estimate as a weighted average. Easy-to-sample distributions often lead to degenerate…

机器学习 · 计算机科学 2021-10-07 Fernando Gama , Nicolas Zilberstein , Richard G. Baraniuk , Santiago Segarra

We propose a new algorithm for approximating the non-asymptotic second moment of the marginal likelihood estimate, or normalizing constant, provided by a particle filter. The computational cost of the new method is $O(M)$ per time step,…

统计方法学 · 统计学 2016-08-19 Svetoslav Kostov , Nick Whiteley

This paper presents a novel algorithm for efficient online estimation of the filter derivatives in general hidden Markov models. The algorithm, which has a linear computational complexity and very limited memory requirements, is furnished…

统计计算 · 统计学 2019-01-10 Jimmy Olsson , Johan Westerborn Alenlöv

Particle smoothers are SMC (Sequential Monte Carlo) algorithms designed to approximate the joint distribution of the states given observations from a state-space model. We propose dSMC (de-Sequentialized Monte Carlo), a new particle…

统计计算 · 统计学 2022-02-07 Adrien Corenflos , Nicolas Chopin , Simo Särkkä

Filtering---estimating the state of a partially observable Markov process from a sequence of observations---is one of the most widely studied problems in control theory, AI, and computational statistics. Exact computation of the posterior…

人工智能 · 计算机科学 2013-01-07 Bhaskara Marthi , Hanna Pasula , Stuart Russell , Yuval Peres

Filtering and smoothing algorithms for linear discrete-time state-space models with skew-t-distributed measurement noise are proposed. The algorithms use a variational Bayes based posterior approximation with coupled location and skewness…

系统与控制 · 计算机科学 2018-11-28 Henri Nurminen , Tohid Ardeshiri , Robert Piché , Fredrik Gustafsson

Particle filters are broadly used to approximate posterior distributions of hidden states in state-space models by means of sets of weighted particles. While the convergence of the filter is guaranteed when the number of particles tends to…

统计计算 · 统计学 2017-11-01 Víctor Elvira , Joaquín Míguez , Petar M. Djurić

We introduce a novel method for online smoothing in state-space models that utilises a fixed-lag approximation to overcome the well known issue of path degeneracy. Unlike classical fixed-lag techniques that only approximate certain…

统计方法学 · 统计学 2022-03-22 Samuel Duffield , Sumeetpal S. Singh
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