 ##  [Particle Filter](/particle-filter) 

  ##  [Particle Filter](https://mathlogic.quantumdictionary.io/particle-filter-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A sequential Monte Carlo method that represents a probability density by a set of weighted particles which are propagated, weighted by the likelihood of observations, and resampled to approximate posterior distributions in state-space models, especially when models are nonlinear or noise is non-Gaussian.