Homology and Data Samples

WORKSHOP ON TOPOLOGY: IDENTIFYING ORDER IN COMPLEX SYSTEMS
Topic:Homology and Data Samples
Speaker:Shmuel Weinberger
Affiliation:University of Chicago
Date:Wednesday, February 4
Time/Room:2:00pm - 3:00pm/S-101

In this talk, I will try to explain some of the interest in the question of the computation of the homology of a space from noisy data samples as it relates to clustering and other natural problems. Moreover, I will also try to indicate some applications to dynamics. The analysis I will give is based on joint work with Partha Niyogi (CS and Statistics, U of C) and Steve Smale (TTI-C) and related work with Yuliy Baryshnikov (Bell Labs).