STATISTICS COLLOQUIUM
Karthik Bharath, Assistant Professor
University of Nottingham
Invariant aspects of functional data and their statistical implications
Abstract
While analysing the shape of brain tumours from images, methods should be agnostic to variations due to rotations, scalings and reparameterisations of the curves representing the tumours. Similar considerations regarding phase/temporal variation may be applicable when analysing growth curves and temperature measurements over time across different locations. How can one isolate those features in the data that are unaffected by such (possibly) nuisance variations?
In this talk, I will describe a group-theoretic setting, compatible with the metric structure of the data space of functions and curves, that provides a natural way to model such variation. The ensuing invariant properties offer insight into the dimensionality of the data, and impact various statistical models and methods for functional data.
DATE: Wednesday, May 1, 2019
TIME: 4:00 pm
PLACE: Philip E. Austin Bldg., Rm. 108
Coffee will be served at 3:30 in the Noether Lounge (AUST 326)
For more information, contact: Tracy Burke at tracy.burke@uconn.edu