Manifold valued data analysis of samples of networks, with applications in corpus linguistics

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• Katie Severn (University of Nottingham)
• Tuesday 14 March 2023, 14:00-15:00
• Room 250, Arts Building (R16) .

If you have a question about this talk, please contact Hong Duong.

Networks can be used to represent many systems such as text documents 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 talk is part of the Data Science and Computational Statistics Seminar series.

This talk is included in these lists:

• Analysis Seminar
• Data Science and Computational Statistics Seminar
• Room 250, Arts Building (R16)
• School of Mathematics Events

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