Thematic Einstein Semester on

Geometric and Topological Structure of Materials

Summer Semester 2021


Peter Bubenik   (U Florida)


Topological Data Analysis for Biological Images and Video


I will present the results of two recent projects applying topological data analysis (TDA) and machine learning (ML) to biological data. In the first, we have developed a new tool, TDAExplore, that combines TDA and ML to both classify biological images and to provide a visualization that is biologically informative. In the second, we use TDA and ML to classify quasi-periodic biological videos and we apply TDA to such a video to produce synthetic periodic videos.