16 September 2011 Coulomb's law particle flow for nonlinear filters
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We have invented a new theory of exact particle flow for nonlinear filters. The flow of particles corresponding to Bayes' rule is computed from the gradient of the solution of Poisson's equation, and it is analogous to Coulomb's law. Our theory is a radical departure from other particle filters in several ways: (1) we compute Bayes' rule using a flow of particles rather than as a pointwise multiplication; (2) we never resample particles; (3) we do not use a proposal density; (4) we do not use importance sampling or any other MCMC algorithm; and (5) our filter is roughly 6 to 8 orders of magnitude faster than standard particle filters for the same accuracy.
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Fred Daum, Fred Daum, Jim Huang, Jim Huang, Arjang Noushin, Arjang Noushin, "Coulomb's law particle flow for nonlinear filters", Proc. SPIE 8137, Signal and Data Processing of Small Targets 2011, 81370B (16 September 2011); doi: 10.1117/12.887514; https://doi.org/10.1117/12.887514

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