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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…

Machine Learning · Computer Science 2017-05-24 H. -Ch. Ruiz , H. J. Kappen

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…

Computation · Statistics 2010-11-10 Jimmy Olsson , Tobias Rydén

Particle smoothers are widely used algorithms allowing to approximate the smoothing distribution in hidden Markov models. Existing algorithms often suffer from slow computational time or degeneracy. We propose in this paper a way to improve…

Methodology · Statistics 2011-07-28 Cyrille Dubarry , Randal Douc

This is a short review of Monte Carlo methods for approximating filter distributions in state space models. The basic algorithm and different strategies to reduce imbalance of the weights are discussed. Finally, methods for more difficult…

Statistics Theory · Mathematics 2013-10-01 Hans R. Künsch

We introduce neural particle smoothing, a sequential Monte Carlo method for sampling annotations of an input string from a given probability model. In contrast to conventional particle filtering algorithms, we train a proposal distribution…

Computation and Language · Computer Science 2018-05-01 Chu-Cheng Lin , Jason Eisner

Sequential Monte Carlo algorithms, or Particle Filters, are Bayesian filtering algorithms which propagate in time a discrete and random approximation of the a posteriori distribution of interest. Such algorithms are based on Importance…

Computation · Statistics 2017-10-11 Roland Lamberti , Yohan Petetin , François Desbouvries , François Septier

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…

Machine Learning · Computer Science 2025-02-18 Ali Younis , Erik B. Sudderth

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…

Computation · Statistics 2017-09-21 Axel Finke , Sumeetpal S. Singh

Accurate estimation of the states of a nonlinear dynamical system is crucial for their design, synthesis, and analysis. Particle filters are estimators constructed by simulating trajectories from a sampling distribution and averaging them…

Signal Processing · Electrical Eng. & Systems 2023-02-03 Fernando Gama , Nicolas Zilberstein , Martin Sevilla , Richard Baraniuk , Santiago Segarra

Particle learning (PL) provides state filtering, sequential parameter learning and smoothing in a general class of state space models. Our approach extends existing particle methods by incorporating the estimation of static parameters via a…

Methodology · Statistics 2010-11-05 Carlos M. Carvalho , Michael S. Johannes , Hedibert F. Lopes , Nicholas G. Polson

Object detection is an important task in computer vision and learning systems. Multistage particle windows (MPW), proposed by Gualdi et al., is an algorithm of fast and accurate object detection. By sampling particle windows from a proposal…

Computer Vision and Pattern Recognition · Computer Science 2016-06-27 Yanwei Pang , Jiale Cao , Xuelong Li

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…

Machine Learning · Computer Science 2021-10-07 Fernando Gama , Nicolas Zilberstein , Richard G. Baraniuk , Santiago Segarra

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…

Computation · Statistics 2017-11-01 Víctor Elvira , Joaquín Míguez , Petar M. Djurić

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…

Computation · Statistics 2017-11-30 Andreas Svensson , Fredrik Lindsten , Thomas B. Schön

To estimate the smoothing distribution in a nonlinear state space model, we apply the conditional particle filter with ancestor sampling. This gives an iterative algorithm in a Markov chain Monte Carlo fashion, with asymptotic convergence…

Computation · Statistics 2015-09-17 Andreas Svensson , Thomas B. Schön , Manon Kok

Particle filters are a widely used Monte Carlo based data assimilation technique that estimates the probability distribution of a system's state conditioned on observations through a collection of weights and particles. A known problem for…

Applications · Statistics 2025-10-29 Shay Gilpin , Michael Herty

Sequential Monte Carlo techniques are useful for state estimation in non-linear, non-Gaussian dynamic models. These methods allow us to approximate the joint posterior distribution using sequential importance sampling. In this framework,…

Computation · Statistics 2012-07-09 Mike Klaas , Nando de Freitas , Arnaud Doucet

Particle filters provide Monte Carlo approximations of intractable quantities such as point-wise evaluations of the likelihood in state space models. In many scenarios, the interest lies in the comparison of these quantities as some…

Methodology · Statistics 2016-07-19 Pierre E. Jacob , Fredrik Lindsten , Thomas B. Schön

We present a particle filter construction for a system that exhibits time-scale separation. The separation of time-scales allows two simplifications that we exploit: i) The use of the averaging principle for the dimensional reduction of the…

Numerical Analysis · Mathematics 2008-06-05 Dror Givon , Panagiotis Stinis , Jonathan Weare

During the last two decades there has been a growing interest in Particle Filtering (PF). However, PF suffers from two long-standing problems that are referred to as sample degeneracy and impoverishment. We are investigating methods that…

Artificial Intelligence · Computer Science 2017-07-31 Tiancheng Li , Shudong Sun , Tariq P. Sattar , Juan M. Corchado
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