Open AccessAlternating minimization of the negative Poisson likelihood function for the global analysis of fluorescence lifetime imaging microscopy data
Author(s) -
Jiyeong Seok,
Jeong-Tae Kim
Publication year - 2014
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.22.024977
Subject(s) - convex optimization , proper convex function , optimization problem , mathematical optimization , poisson distribution , minification , computer science , mathematics , regular polygon , convex analysis , statistics , geometry
We investigate a fast optimization method for determining the minimizer of the negative Poisson likelihood function for the global analysis of fluorescence lifetime microscopy. Using the alternating optimization strategy, we iteratively solve a non-convex optimization problem to estimate the lifetime parameters and a convex optimization problem to estimate the concentration parameters. We effectively determine the minimizer of the non-convex optimization using the Gauss-Newton method and that of the convex optimization by applying the optimization transfer strategy, which is based on the convex inequality. In the simulation studies, the proposed method was able to determine the minimizer of the objective function significantly faster than the conventional simultaneous optimization method.