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Same But Different: Distance Correlations Between Topological Summaries

Same But Different: Distance Correlations Between Topological Summaries

4 March 2019
Katharine Turner
Gard Spreemann
ArXivPDFHTML

Papers citing "Same But Different: Distance Correlations Between Topological Summaries"

15 / 15 papers shown
Title
Persistence Fisher Kernel: A Riemannian Manifold Kernel for Persistence
  Diagrams
Persistence Fisher Kernel: A Riemannian Manifold Kernel for Persistence Diagrams
Tam Le
M. Yamada
58
79
0
10 Feb 2018
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
40
83
0
12 Jun 2017
Sliced Wasserstein Kernel for Persistence Diagrams
Sliced Wasserstein Kernel for Persistence Diagrams
Mathieu Carrière
Marco Cuturi
S. Oudot
56
237
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
110
62
0
02 Nov 2016
Minimax Rate-Optimal Estimation of Divergences between Discrete
  Distributions
Minimax Rate-Optimal Estimation of Divergences between Discrete Distributions
Rushil Anirudh
Jiantao Jiao
Pavan Turaga
33
39
0
30 May 2016
Persistence Images: A Stable Vector Representation of Persistent
  Homology
Persistence Images: A Stable Vector Representation of Persistent Homology
Henry Adams
Sofya Chepushtanova
Tegan H. Emerson
Eric M. Hanson
Michael Kirby
Francis C. Motta
R. Neville
C. Peterson
Patrick D. Shipman
Lori Ziegelmeier
74
679
0
22 Jul 2015
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
V. Robins
Katharine Turner
60
69
0
06 Jul 2015
Comparing persistence diagrams through complex vectors
Comparing persistence diagrams through complex vectors
B. D. Fabio
M. Ferri
40
65
0
06 May 2015
A persistence landscapes toolbox for topological statistics
A persistence landscapes toolbox for topological statistics
Peter Bubenik
Paweł Dłotko
90
162
0
31 Dec 2014
A Stable Multi-Scale Kernel for Topological Machine Learning
A Stable Multi-Scale Kernel for Topological Machine Learning
Jan Reininghaus
Stefan Huber
Ulrich Bauer
Roland Kwitt
60
346
0
21 Dec 2014
Medians of populations of persistence diagrams
Medians of populations of persistence diagrams
Katharine Turner
84
20
0
31 Jul 2013
Statistical topological data analysis using persistence landscapes
Statistical topological data analysis using persistence landscapes
Peter Bubenik
146
857
0
27 Jul 2012
Fréchet Means for Distributions of Persistence diagrams
Fréchet Means for Distributions of Persistence diagrams
Katharine Turner
Yuriy Mileyko
S. Mukherjee
J. Harer
84
262
0
13 Jun 2012
Distance covariance in metric spaces
Distance covariance in metric spaces
R. Lyons
88
89
0
28 Jun 2011
Measuring and testing dependence by correlation of distances
Measuring and testing dependence by correlation of distances
G. Székely
Maria L. Rizzo
N. K. Bakirov
261
2,598
0
28 Mar 2008
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