Cookies

We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Durham University

Research & business

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


 

Statistics Seminars: The shape of functional data

Presented by Karthik Bharath, University of Nottingham
4 November 2019 13:00 in CM107

Data in the form of functions contain phase variability, which quite often is considered as nuisance. One way to remove the phase/warping variation is to align the functions to a common template by warping their domains. Alternatively, one can ignore phase variation altogether and consider only the shape of each function: an equivalence class of functions that are related to it through the warping of its domain.

I will discuss the structure of the shape space of real-valued functions on an interval as a quotient space under the action of the warping group, and describe the difficulties involved in defining probability distributions on such shape spaces. Such a perspective elucidates on conditions that ensure identifiability of signal plus noise models for functional data, and also provides a way to control small-ball probabilities of functional predictors affecting asymptotic properties of kernel-based estimators of functional regression models.

This is joint work with Ian Jermyn (Durham).

Contact georgios.karagiannis@durham.ac.uk or konstantinos.perrakis@durham.ac.uk for more information