Sayan Mukherjee

activity

20092022

most citedTopological consistency via kernel estimation

62 citations · 268 across the 38 of their papers we have counts for

collaborators

Showing 2013 · math.PRShow all

2 papers · 2 filters

math.PR2013★ 56 cited

Probabilistic Fréchet Means for Time Varying Persistence Diagrams

Elizabeth Munch, Katharine Turner, Paul Bendich +3

In order to use persistence diagrams as a true statistical tool, it would be very useful to have a good notion of mean and variance for a set of diagrams. In 2011, Mileyko and his…

math.PR2013

The Topology of Probability Distributions on Manifolds

Omer Bobrowski, Sayan Mukherjee

Let $P$ be a set of $n$ random points in $R^{d}$ , generated from a probability measure on a $m$ -dimensional manifold $M \subset R^{d}$ . In this paper we study the homology of $U (P, r)$ …