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Everything about Iterated filtering

Iterated filtering algorithms are a tool for maximum likelihood inference on partially observed dynamical systems. Stochastic perturbations to the unknown parameters are used to explore the parameter space. Applying sequential Monte Carlo to this extended model results in the selection of the parameter values that are more consistent with the data. Appropriately constructed procedures, iterating with successively diminished perturbations, converge to the maximum likelihood estimate. Iterated filtering methods have so far been used most extensively to study infectious disease transmission dynamics. Case studies include cholera, Ebola virus, influenza, malaria, HIV, pertussis, poliovirus and measles. Other areas which have been proposed to be suitable for these methods include ecological dynamics and finance. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Iterated filteringA 5-minute orientation
  2. Skim a recent paper: Filtered generalized iterative parameter identification for equation‐error autoregressive models based on the filtering identification ideaInfluential work since 2022
  3. Pick up a classic book: Study of one- and two-dimensional filtering and deconvolution algorithms for a streaming array computerThe most-reprinted book on the subject
  4. Read the landmark paper: FAST-LIO: A Fast, Robust LiDAR-Inertial Odometry Package by Tightly-Coupled Iterated Kalman FilterCited 1,170 times
  5. Go sideways: Point estimationA closely related topic
  6. Go sideways: Method of moments (statistics)A closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

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