Graduate/faculty Seminar
Monday, April 9, 2018, 12:00pm, 119 Physics
Ashleigh Thomas
Practical multiparameter persistent homology
Abstract:
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). [video]

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