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Everything about Particle filter

Type of Monte Carlo algorithms for signal processing and statistical inference

Particle filters, also known as sequential Monte Carlo methods, are a set of Monte Carlo algorithms used to find approximate solutions for filtering problems for nonlinear state-space systems, such as signal processing and Bayesian statistical inference. The filtering problem consists of estimating the internal states in dynamical systems when partial observations are made and random perturbations are present in the sensors as well as in the dynamical system. The objective is to compute the posterior distributions of the states of a Markov process, given the noisy and partial observations. The term "particle filters" was first coined in 1996 by Pierre Del Moral about mean-field interacting particle methods used in fluid mechanics since the beginning of the 1960s. The term "Sequential Monte Carlo" was coined by Jun S. Liu and Rong Chen in 1998. Wikipedia →

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  1. Read the overview: Particle filterA 5-minute orientation
  2. Skim a recent paper: Hybrid Particle Filter–Particle Swarm Optimization Algorithm and Application to Fuzzy Controlled Servo SystemsInfluential work since 2022
  3. Pick up a classic book: High-temperature, high-pressure particulate control with ceramic bag filtersThe most-reprinted book on the subject
  4. Read the landmark paper: A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian trackingCited 9,125 times
  5. Go sideways: Polynomial interpolationA closely related topic
  6. Go sideways: Recursive Bayesian estimationA closely related topic

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