Statistics & Topology Seminar Announcement Date: Monday, 6 May, 2013 at 17:00 Place: Technion -- Meyer (Electrical Engineering) 861 Speaker: Prof. Robert Adler, Department of Electrical Engineering, Technion Title: Statistical Inference via Homology -- Part II Abstract: In this (review) talk I will continue with the description of the interplay between statistical inference and topological data analysis I started on 29/5. In particular, I will describe (again, but briefly, and in part for those who missed Part I) the concept of persistent homology, this time motivating it from problems from random functions and from cluster analysis. From there I will go on to discussing the mathematical structure of spaces of barcodes and persistence diagrams (such as stability theorems) and some of the statistical procedures that have grown out of this (such as deciding what the "average" of a collection of barcodes might be. As in Part I, the main theme will be the challenges that topological data analysis pose for statistics and probability. -- Anthea Monod Technion -- Israel Institute of Technology Faculty of Electrical Engineering, Meyer 1231 32000 Haifa Israel Tel.: +972 (0)4 829 5926 <http://webee.technion.ac.il/people/monod/> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Anthea Monod <anthea@ee.technion.ac.il>