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
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).