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Activity Number: 2 - Phase Variation (Curve Registration) in Functional Data Analyzing
Type: Invited
Date/Time: Sunday, July 30, 2017 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract #325509
Title: Data driven estimates of PDE parameters: an application to image registration
Author(s): Michelle Carey* and James O. Ramsay
Companies: University College Dublin and McGill University

In order to estimate registration functions for a set of functional observations containing landmarks, it is nec- essary to estimate a smooth continuous functions from discrete observations at arbitrarily spaced points in the domain. Ramsay (2001) proposed a penalized smooth- ing approach incorporating a partial differential equa- tion (PDE) to register bivariate functional data. Here we extend this approach by utilizing the pro ling with parameter cascading procedure outlined in Ram- say et al (2007) to attain statistical inference on the pa- rameters of the PDE and the registered functions from the observed data.

Authors who are presenting talks have a * after their name.

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