123 citations · 241 across the 8 of their papers we have counts for
8 papers
Topological Data Analysis of Clostridioides difficile Infection and Fecal Microbiota Transplantation
Pavel Petrov, Stephen T Rush, Zhichun Zhai +3
Computational topologists recently developed a method, called persistent homology to analyze data presented in terms of similarity or dissimilarity. Indeed, persistent homology stu…
Minimax estimation for mixtures of Wishart distributions
L. R. Haff, P. T. Kim, J. -Y. Koo +1
The space of positive definite symmetric matrices has been studied extensively as a means of understanding dependence in multivariate data along with the accompanying problems in s…
Möbius deconvolution on the hyperbolic plane with application to impedance density estimation
Stephan F. Huckemann, Peter T. Kim, Ja-Yong Koo +1
In this paper we consider a novel statistical inverse problem on the Poincaré, or Lobachevsky, upper (complex) half plane. Here the Riemannian structure is hyperbolic and a transit…
Statistical topology via Morse theory, persistence and nonparametric estimation
Peter Bubenik, Gunnar Carlsson, Peter T. Kim +1
In this paper we examine the use of topological methods for multivariate statistics. Using persistent homology from computational algebraic topology, a random sample is used to con…
A statistical approach to persistent homology
Peter Bubenik, Peter T. Kim
Assume that a finite set of points is randomly sampled from a subspace of a metric space. Recent advances in computational topology have provided several approaches to recovering t…
Multivariate Bayesian function estimation
Jean-François Angers, Peter T. Kim
Bayesian methods are developed for the multivariate nonparametric regression problem where the domain is taken to be a compact Riemannian manifold. In terms of the latter, the unde…