MathsNet: Research Student Directory

Name Severn, Katie
Group Statistics and Probability
Room C17, Maths
Telephone +44 (0) 115 [direct dial]
Thesis Title Manifold valued data analysis of shapes and networks
Thesis Abstract Manifold-valued data analysis involves development and application of statistical methods for data that lie on non-Euclidean spaces. Two examples of such spaces that we will focus on are shape spaces (which arise when studying the geometry of objects modulo similarity transformations) and spaces of symmetric non-negative definite matrices (which arise as covariance matrices, and as representations of networks in terms of the graph Laplacian). Particular motivating applications include molecular dynamics data, which have a time-series structure and are typically challenging because the shape is so highly variable, and text corpora, in which the graph Laplacian is a natural way to represent units such as documents in a way that preserves information about pairwise word relationships.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951