NSC Seminar Theories of Persistence

2009-06-24 11:00 - 2009-06-24 12:00
RIES, Seminar Room 1-1
Afra Zomorodian
The concept of "persistence" refers to one type of multi-scale analysis:the technique of identifying features by analyzing geometric histories of data.The key notion is that features _persist_ through history while noiseis short-lived.My work is focused on turning this intuition into theory for differentclasses ofdata via an algebraic approach. The theory has a practical motivation,serving as the basis of algorithms and software for topological data analysis.In this talk, I will discuss theories of persistence several classes of data.I will also present applications of these theories to problems in other fields,such as computer vision and biophysics.