Special Virtual Math Seminar: Kathryn Hess (EPFL): "From trees to barcodes and back again"
- Monday, October 12, 2020 from 12:00pm to 1:00pm
- WebEx meeting number: 120 112 3734 . Password: math
Special Virtual Math Seminar.
Monday 12 October Noon-1pm
(Note the non-standard time!)
WebEx link, meeting, and password:
Dr. Kathryn Hess (EPFL)
Title.From trees to barcodes and back againAbstract.In this talk I will focus on the Topological Morphology Descriptor (TMD), which assigns a persistence diagram to any tree embedded in Euclidean space, and a sort of stochastic inverse to the TMD, the Topological Neuron Synthesis (TNS) algorithm. I will provide an overview of the TMD and the TNS and then describe the results of our theoretical and computational analysis of their behavior and properties, in which symmetric groups play a key role. In particular, I will specify the extent to which the TNS provides an inverse to the TMD.This is joint work with Adélie Garin and Lida Kanari, based on earlier collaborations led by Lida.
- Department of Mathematical Sciences