Principal Component Analysis of Persistent Homology Rank Functions with case studies of Spatial Point Patterns, Sphere Packing and Colloids

6 July 2015

Papers citing "Principal Component Analysis of Persistent Homology Rank Functions with case studies of Spatial Point Patterns, Sphere Packing and Colloids"

9 / 9 papers shown

Title
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams) Mathieu Pont Jules Vidal Julien Tierny 61 7 0 22 Jul 2022
Persistent homology detects curvature Peter Bubenik M. Hull Dhruv Patel Benjamin Whittle 125 72 0 30 May 2019
Same But Different: Distance Correlations Between Topological Summaries Katharine Turner Gard Spreemann 71 16 0 04 Mar 2019
The persistence landscape and some of its properties Peter Bubenik 46 63 0 11 Oct 2018
Persistence Diagrams with Linear Machine Learning Models I. Obayashi Y. Hiraoka 53 84 0 30 Jun 2017
Kernel method for persistence diagrams via kernel embedding and weight factor G. Kusano Kenji Fukumizu Y. Hiraoka 54 83 0 12 Jun 2017
Sliced Wasserstein Kernel for Persistence Diagrams Mathieu Carrière Marco Cuturi S. Oudot 78 239 0 11 Jun 2017
The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications C. Biscio Jesper Møller 114 62 0 02 Nov 2016
A persistence landscapes toolbox for topological statistics Peter Bubenik Paweł Dłotko 142 163 0 31 Dec 2014