2021-10-27: Riu Rodríguez Sakamoto (MSP)

Sat, 21 Oct 2023 21:24:08 +0100

Riu Rodríguez Sakamoto (MSP)

Categories for persistent homology

Abstract

Data analysis has dealt traditionally with regression, clustering and dimensionality reduction. Persistent homology, a tool in Topological Data Analysis, can be thought of as the counterpart of clustering: Instead of looking at clusters of data, it classifies holes of data. And we mean `holes' in the most visual way: given some point cloud in a metric space, it addresses how do we characterize regions of the space where there's no data. This talk will introduce persistence modules, which are a central concept of the theory. We will overview their construction from data, how we can compare between, and stability properties.

2021-10-27 15:00:00 UTC
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