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

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

6 July 2015
V. Robins
Katharine Turner
ArXiv (abs)PDFHTML

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)
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
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
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
The persistence landscape and some of its properties
Peter Bubenik
46
63
0
11 Oct 2018
Persistence Diagrams with Linear Machine Learning Models
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
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
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
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
A persistence landscapes toolbox for topological statistics
Peter Bubenik
Paweł Dłotko
142
163
0
31 Dec 2014
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