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FRG Informal Talk Series, Chuxiangbo Wang (UNC) and Shiying Li (U. Nebraska-Lincoln)
November 15 @ 3:00 pm - 4:00 pm
3:00-3:15pm lightning talk
Chuxiangbo Wang, Math@UNC
3:15-4:00pm informal talk
Prof. Shiying Li, Department of Mathematics, University of Nebraska-Lincoln
Title: Linear independent Component Analysis in Wasserstein Space
Abstract: The talk introduces a set-up for linear independent component analysis (ICA) in Wasserstein space. This is motivated by applications in which an instance of data is naturally interpreted as a probability measure or point-cloud, such as gene expression data, and the need to meaningfully analyze this type of data. ICA is a well-developed method for identifying independent components in multivariate data, but mainly focuses on data in Euclidean space. We propose an extension to Wasserstein space by viewing the linear ICA problem in this space as a deviation of the “classical” Euclidean setting. We then show how spectral methods based on the Wasserstein distance can be used to identify independent components in point-cloud data. This study is joint work with Caroline Moosmueller.
The talks will be both in-person at Chapman 435 Math Conference Room and on Zoom https://unc.zoom.us/j/97696635281.