Renormalization group flow and other ideas inspired by physics for nonlinear filters, Bayesian decisions and transport

摘要

We describe many new ideas for research in particle flow corresponding to Bayes' rule. Some of these ideas were inspired by quantum field theory and classical electromagnetism whereas others were taken from mathematics or signal processing. For example, we discuss renormalization group flow, Ricci flow, Yang-Mills equations, the Dirac approximation, Kronecker product expansions to estimate the covariance matrix, charge quantization, etc. Three new algorithms for particle flow inspired by renormalization group flow are derived in detail.