Practical multiparameter persistent homology

Graduate/faculty Seminar

Ashleigh Thomas

Monday, April 9, 2018 -
12:00pm to 1:00pm
119 Physics

In this talk we will explore a mathematical data analysis tool called persistent homology and look specifically into how we can turn topological information into useful data for statistical techniques. The problem is one of translation: persistent homology outputs a module, but statistics is formulated for objects in metric, vector, Banach, and Hilbert spaces. We'll see some of the ways this issue can be dealt with in a special case (single-parameter persistence) and discuss which of those techniques are viable for a more general case (multiparameter persistence).

Last updated: 2018/04/21 - 1:58pm