Mathematics Topology Seminar - Jose Perea
This event is in the past.
Detroit, MI 48202
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.