Ruprecht-Karls-Universität Heidelberg
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Informationen für
„Monte Carlo Homology“
Dr. Paul Breiding, MPI Leipzig

Persistent homology is a method for computing the homology of a topological space from a finite point sample. The underlying idea is as follows: for varying t, put a ball of radius t around each point and compute the homology of the union of the balls. Under the assumption that the finite point sample was drawn from the uniform distribution on a manifold, a theorem by Niyogi, Smale and Weinberge tells us how to fix t to get the correct homology with high probability. In this talk, I want to discuss that one can use the Niyogi-Smale-Weinberger Theorem for computing the homology of algebraic varieties. The algebraic structure opens the path to sampling from the uniform distribution, estimating the volume and computing the rea

Donnerstag, den 13. Juni 2019 um 12.00 Uhr, in Mathematikon, INF 205, Konferenzraum, 5. Stock Donnerstag, den 13. Juni 2019 at 12.00, in Mathematikon, INF 205, Konferenzraum, 5. Stock

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Peter Albers