Mathematics Topology Seminar - Jose Perea

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Date: January 14, 2020
Time: 2:00 p.m. - 3:00 p.m.
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Category: Seminar

Speaker: Jose Perea, Michigan State University

Title: Some applications of topology to the analysis of data

Abstract: Many problems in modern data science can be phrased as topological questions: e.g., clustering is akin to finding the connected components of a space, and tasks such as regression, classification and dimensionality reduction can be thought of as learning maps between structured spaces. I will describe in this talk how tools from algebraic topology, such as cohomology and fiber bundles, can be leveraged for the analysis of complex data sets. Several illustrative examples will be provided, including applications to computer vision, machine learning and computational biology.


Department of Mathematics