Bayesian methodsBayesian / computational

Sequential Monte Carlo with Measurement Error

Sequential Monte Carlo (SMC) with measurement error is a particle-based Bayesian filtering method for tracking hidden states in dynamical systems when observations are corrupted by noise. It propagates a weighted cloud of particles through time, updating weights at each step to reflect how well each particle explains the noisy measurement, and produces a full posterior distribution over the latent state at every time point.

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Sources

  1. Doucet, A., de Freitas, N., & Gordon, N. (Eds.). (2001). Sequential Monte Carlo Methods in Practice. Springer New York. ISBN: 978-0-387-95146-1
  2. Cappe, O., Godsill, S. J., & Moulines, E. (2007). An overview of existing methods and recent advances in sequential Monte Carlo. Proceedings of the IEEE, 95(5), 899-924. DOI: 10.1109/JPROC.2007.893250

Related methods

ScholarGateSequential Monte Carlo with Measurement Error (Sequential Monte Carlo with Measurement Error). Retrieved 2026-06-04 from https://scholargate.app/en/bayesian/sequential-monte-carlo-with-measurement-error