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math.OC2021
A Dynamic Programming Formulation for the Nonlinear Filter
Jin Won Kim, Prashant G. Mehta
This paper build on our recent work where we presented a dual stochastic optimal control formulation of the nonlinear filtering problem [1]. The constraint for the dual problem is…
math.OC2020
Feedback Particle Filter for Collective Inference
Jin Won Kim, Amirhossein Taghvaei, Yongxin Chen +1
The purpose of this paper is to describe the feedback particle filter algorithm for problems where there are a large number () of non-interacting agents (targets) with a large n…
math.OC2019
What is the Lagrangian for Nonlinear Filtering?
Jin W. Kim, Prashant G. Mehta, Sean P. Meyn
Duality between estimation and optimal control is a problem of rich historical significance. The first duality principle appears in the seminal paper of Kalman-Bucy, where the prob…