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A key challenge when designing particle filters in high-dimensional state spaces is the construction of a proposal distribution that is close to the posterior distribution. Recent advances in particle flow filters provide a promising avenue…

统计方法学 · 统计学 2017-06-30 Yunpeng Li , Mark Coates

The filtering of a Markov diffusion process on a manifold from counting process observations leads to `large' changes in the conditional distribution upon an observed event, corresponding to a multiplication of the density by the intensity…

最优化与控制 · 数学 2019-11-01 Simone Carlo Surace , Anna Kutschireiter , Jean-Pascal Pfister

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…

应用统计 · 统计学 2025-10-29 Shay Gilpin , Michael Herty

Bootstrap particle filter (BPF) is the corner stone of many popular algorithms used for solving inference problems involving time series that are observed through noisy measurements in a non-linear and non-Gaussian context. The long term…

统计计算 · 统计学 2018-12-05 Kari Heine , Nick Whiteley , A. Taylan Cemgil

Particle filters are a popular and flexible class of numerical algorithms to solve a large class of nonlinear filtering problems. However, standard particle filters with importance weights have been shown to require a sample size that…

最优化与控制 · 数学 2017-09-20 Simone Carlo Surace , Anna Kutschireiter , Jean-Pascal Pfister

Nonlinear filtering with standard PF methods requires mitigative techniques to quell weight degeneracy, such as resampling. This is especially true in high-dimensional systems with sparse observations. Unfortunately, such techniques are…

系统与控制 · 电气工程与系统科学 2026-03-18 Theofania Karampela , Ryne Beeson

Particle filters (PFs) are recursive Monte Carlo algorithms for Bayesian tracking and prediction in state space models. This paper addresses continuous-discrete filtering problems, where the hidden state evolves as an It\^o stochastic…

统计计算 · 统计学 2026-04-24 Utku Erdogan , Gabriel J. Lord , Joaquin Miguez

Particle Filtering (PF) methods are an established class of procedures for performing inference in non-linear state-space models. Resampling is a key ingredient of PF, necessary to obtain low variance likelihood and states estimates.…

机器学习 · 统计学 2021-07-01 Adrien Corenflos , James Thornton , George Deligiannidis , Arnaud Doucet

By approximating posterior distributions with weighted samples, particle filters (PFs) provide an efficient mechanism for solving non-linear sequential state estimation problems. While the effectiveness of particle filters has been…

机器学习 · 计算机科学 2023-12-15 Xiongjie Chen , Yunpeng Li

This paper proposes a novel global optimization algorithm, Particle Filter-Based Optimization (PFO), designed for a class of stochastic optimization problems in which the objective function lacks an analytical form and is subject to noisy…

最优化与控制 · 数学 2025-06-23 Mostafa Eslami , Maryam Babazadeh

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…

人工智能 · 计算机科学 2017-07-31 Tiancheng Li , Shudong Sun , Tariq P. Sattar , Juan M. Corchado

Distributed signal processing algorithms have become a hot topic during the past years. One class of algorithms that have received special attention are particles filters (PFs). However, most distributed PFs involve various heuristic or…

统计计算 · 统计学 2016-06-03 Joaquin Miguez , Manuel A. Vazquez

This paper is concerned with the problem of continuous-time nonlinear filtering for stochastic processes on a connected matrix Lie group. The main contribution of this paper is to derive the feedback particle filter (FPF) algorithm for this…

最优化与控制 · 数学 2017-01-11 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta

Feedback particle filter (FPF) is a Monte-Carlo (MC) algorithm to approximate the solution of a stochastic filtering problem. In contrast to conventional particle filters, the Bayesian update step in FPF is implemented via a mean-field type…

系统与控制 · 电气工程与系统科学 2021-02-23 Amirhossein Taghvaei , Prashant G. Mehta

The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering: the BPF is asymptotically exact but can suffer from weight degeneracy, while the EnKF scales well in…

统计方法学 · 统计学 2026-01-28 Ilja Klebanov , Claudia Schillings , Dana Wrischnig

Despite the cheap availability of computing resources enabling faster Monte Carlo simulations, the potential benefits of particle filtering in revealing accurate statistical information on the imprecisely known model parameters or modeling…

统计方法学 · 统计学 2014-02-07 Saikat Sarkar , Debasish Roy

The robust estimation of dynamically changing features, such as the position of prey, is one of the hallmarks of perception. On an abstract, algorithmic level, nonlinear Bayesian filtering, i.e. the estimation of temporally changing signals…

神经元与认知 · 定量生物学 2022-01-05 Anna Kutschireiter , Simone Carlo Surace , Henning Sprekeler , Jean-Pascal Pfister

The particle filter (PF) is a powerful inference tool widely used to estimate the filtering distribution in non-linear and/or non-Gaussian problems. To overcome the curse of dimensionality of PF, the block PF (BPF) inserts a blocking step…

机器学习 · 统计学 2022-03-08 Rui Min , Christelle Garnier , François Septier , John Klein

State filtering is a key problem in many signal processing applications. From a series of noisy measurement, one would like to estimate the state of some dynamic system. Existing techniques usually adopt a Gaussian noise assumption which…

统计方法学 · 统计学 2016-12-16 Bin Liu

Auxiliary particle filters (APFs) are a class of sequential Monte Carlo (SMC) methods for Bayesian inference in state-space models. In their original derivation, APFs operate in an extended state space using an auxiliary variable to improve…

统计计算 · 统计学 2021-06-17 Nicola Branchini , Víctor Elvira
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