Statistics for Functions on Complex Geometries

When and Where

Monday, January 28, 2019 11:00 am to 12:00 pm
Room SS2125
Sidney Smith Hall
100 Saint George Street Toronto, ON M5S 3G3


Eardi Lila, University of Cambridge


Functional Data Analysis has shaped the way we perform statistical analysis on random samples that are functions on the real line. 

However, thanks to recent developments in the field we are now able to redefine the way we do statistical analysis on much more complex objects. In this talk, I will introduce a comprehensive framework for the analysis of functional data whose domain is a manifold and the domain itself is subject to variability from sample to sample. I will also cover further extensions of this framework to the inverse problem setting, where the samples themselves are latent objects, and only indirectly measured signals are available. To illustrate the proposed ideas, I will show several applications of the proposed models; these will be mainly related to medical image analysis.



100 Saint George Street Toronto, ON M5S 3G3