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Matey N. Neykov, PhD Postdoctoral Research Associate, ORFE, Princeton University High Dimensions, Inference and Combinatorics. A Journey Through the Data Jungle

Tuesday, January 24, 2017 3:30 pm – 4:30 pm Purvis Hall, 1020 Pine Ave. West, Room 24

ALL ARE WELCOME

Abstract: This talk takes us on a journey through modern high-dimensional statistics. We begin with a brief discussion on variable selection and estimation and the challenges they bring to highdimensional inference, and we formulate a new family of inferential problems for graphical models. Our aim is to conduct hypothesis tests on graph properties such as connectivity, maximum degree and cycle presence. The testing algorithms we introduce are applicable to properties which are invariant under edge addition. In parallel, we also develop a minimax lower bound showing the optimality of our tests over a broad family of graph properties. We apply our methods to study neuroimaging data. 

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