62 citations · 268 across the 38 of their papers we have counts for
4 papers · 1 filter
Multiple testing with persistent homology
Mikael Vejdemo-Johansson, Sayan Mukherjee
In this paper we propose a computationally efficient multiple hypothesis testing procedure for persistent homology. The computational efficiency of our procedure is based on the ob…
Subspace Clustering through Sub-Clusters
Weiwei Li, Jan Hannig, Sayan Mukherjee
The problem of dimension reduction is of increasing importance in modern data analysis. In this paper, we consider modeling the collection of points in a high dimensional space as…
How Many Directions Determine a Shape and other Sufficiency Results for Two Topological Transforms
Justin Curry, Sayan Mukherjee, Katharine Turner
In this paper we consider two topological transforms that are popular in applied topology: the Persistent Homology Transform (PHT) and the Euler Characteristic Transform (ECT). Bot…
Learning Integral Representations of Gaussian Processes
Zilong Tan, Sayan Mukherjee
We propose a representation of Gaussian processes (GPs) based on powers of the integral operator defined by a kernel function, we call these stochastic processes integral Gaussian…