Optimal rates of convergence for persistence diagrams in Topological Data Analysis

27 May 2013

Papers citing "Optimal rates of convergence for persistence diagrams in Topological Data Analysis"

9 / 9 papers shown

Title
How high is `high'? Rethinking the roles of dimensionality in topological data analysis and manifold learning Hannah Sansford N. Whiteley Patrick Rubin-Delanchy AI4CE 28 0 0 22 May 2025
The Interconnectivity Vector: A Finite-Dimensional Vector Representation of Persistent Homology Megan Johnson Jae-Hun Jung 11 2 0 23 Nov 2020
Non-Asymptotic Rates for Manifold, Tangent Space, and Curvature Estimation Eddie Aamari Clément Levrard 208 75 0 02 May 2017
Stability and Minimax Optimality of Tangential Delaunay Complexes for Manifold Reconstruction Eddie Aamari Clément Levrard 145 49 0 09 Dec 2015
Stochastic Convergence of Persistence Landscapes and Silhouettes Frédéric Chazal Brittany Terese Fasy F. Lecci Alessandro Rinaldo Larry A. Wasserman 118 185 0 02 Dec 2013
Medians of populations of persistence diagrams Katharine Turner 115 20 0 31 Jul 2013
Tight Lower Bounds for Homology Inference Sivaraman Balakrishnan Alessandro Rinaldo Aarti Singh Larry A. Wasserman 109 6 0 29 Jul 2013
Confidence sets for persistence diagrams Brittany Terese Fasy F. Lecci Alessandro Rinaldo Larry A. Wasserman Sivaraman Balakrishnan Aarti Singh 110 300 0 28 Mar 2013
Statistical topological data analysis using persistence landscapes Peter Bubenik 169 864 0 27 Jul 2012