Bayesian estimation of Dirichlet mixture model with variational inference
An analytically tractable solution for Bayesian estimation of the Dirichlet mixture model. Relative convexity of the multivariate log-inverse-gamma function is proved and utilized. The free energy function is approximated by a single lower-bound to guarantee convergence. The method outperforms the ML based method and the VI based method, moreover, it is comparable to the sampling based method. The performances are demonstrated with important multimedia signal processing applications.
bayesian estimation mixture modeling variational inference relative convexity extended factorized approximation dirichlet distribution gamma prior lsf quantization multiview depth image enhancement