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Mathematical Sciences-Statistics Seminar-"Nested Cone Analysis Methods" by Lingsong Zhang (Purdue University)

Monday, November 18, 2019
11:00 am to 12:00 pm


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Speaker: Lingsong Zhang (Purdue)
Title: Nested Cone Analysis Methods
Abstract: Driven by the analysis of constrained data objects, e.g. population of nonnegative data and population of diffusion tensor image data, we propose a novel statistical framework, nested cone analysis. The novel methods directly work with the constraints, and identify a sequence of approximations to the original data by different ranks. These methods provide a nested learning sequence, which properly handles both the complicated constraints and the goodness of fit. Simulations and applications are used to illustrate the usefulness of our methods.