Bellman filter

From HandWiki
Revision as of 14:41, 6 February 2024 by MedAI (talk | contribs) (linkage)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Short description: Algorithm that estimates the value sequence of hidden states

The Bellman filter is an algorithm that estimates the value sequence of hidden states in a state-space model. It is a generalization of the Kalman filter, allowing for nonlinearity in both the state and observation equations. The principle behind the Bellman filter is an approximation of the maximum a posteriori estimator, which makes it robust to heavy-tailed noise.[1] It is in general a very fast method, since at each iteration only the very last state value is estimated. The algorithm owes its name to the Bellman equation, which plays a central role in the derivation of the algorithm.

References