What is persistence? Professor Wojtek Chacholski (KTH Stockholm) Seminar

Event details

Abstract: In this talk I will describe what persistence means for us (TDA group at KTH in Stockholm), how to measure it, and how to attempt to make statistical conclusions using it. Our proposed solution is equally suitable for one and multi parameter situations. It can be used to illustrate why understanding correlations is a hard problem as we show that for correlations our persistence signatures are in general NP hard to calculate. This is in contrast with single measurement situations, where calculating the signatures requires basically a linear time. I will present several illustrations of how our invariant can be used for effective clustering. The talk is aimed at general audience.