Seminar: Ian Dryden

November 19, 2018
Tuesday, March 5, 2019 - 3:00pm
209 W Eighteenth Ave (EA), Room 170
Ian Dryden

Title

Manifold valued data analysis of samples of networks

Speaker

Ian Dryden, School of Mathematical Sciences, Nottingham University

Abstract

Networks can be used to represent many systems such as text documents, social interactions and brain activity, and it is of interest to develop statistical techniques to compare networks. We develop a general framework for extrinsic statistical analysis of samples of networks, motivated by networks representing text documents in corpus linguistics. We identify networks with their graph Laplacian matrices, for which we define metrics, embeddings, tangent spaces, and a projection from Euclidean space to the space of graph Laplacians.  This framework provides a way of computing means, performing principal component analysis and regression, and performing hypothesis tests, such as for testing for equality of means between two samples of networks. We apply the methodology to the set of novels by Jane Austen and Charles Dickens.This is joint work with Katie Severn and Simon Preston. 
 

Note: Seminars are free and open to the public. Reception to follow.

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