Topology, computations and learning

In this talk I will introduce two main working horses of applied topology: persistent homology and mapper algorithm. I will show how they can be obtained from discrete collections of points P and how they can be used to understand the shape of P. The talk will be illustrated with examples of applications of presented tools in very different branches of physical, medical and social sciences. I will also present the main computational challenges and problems in the interface of topology and statistics / machine learning.

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Paweł Dłotko is the Director of the Dioscuri Centre in Topological Data Analysis at the Institute of Mathematics, Polish Academy of Sciences - https://dioscuri-tda.org/

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Plan wystąpień w tej edycji jest dostępny tutaj

The schedule of presentations can be checked here