Bayesian Registration of Functions
James Matuk, Radu Herbei, Sebastian Kurtek · Wiley StatsRef: Statistics Reference Online · 2021
Abstract We present an overview of Bayesian registration of functions. We begin with a general introduction to functional data analysis and the problem of function registration. We then proceed to describe the registration problem in detail mathematically and introduce basic ingredients of a Bayesian model for function registration. These ingredients are then elaborated on for three popular methods in the literature, and their performance is assessed empirically on two simulated and two real datasets.