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Stochastic Convergence of Persistence Landscapes and Silhouettes

Stochastic Convergence of Persistence Landscapes and Silhouettes

2 December 2013
Frédéric Chazal
Brittany Terese Fasy
F. Lecci
Alessandro Rinaldo
Larry A. Wasserman
ArXiv (abs)PDFHTML

Papers citing "Stochastic Convergence of Persistence Landscapes and Silhouettes"

37 / 37 papers shown
Title
Persistent Topological Features in Large Language Models
Persistent Topological Features in Large Language Models
Yuri Gardinazzi
Giada Panerai
Karthik Viswanathan
A. Ansuini
Alberto Cazzaniga
Matteo Biagetti
138
2
0
14 Oct 2024
Diffeomorphic interpolation for efficient persistence-based topological
  optimization
Diffeomorphic interpolation for efficient persistence-based topological optimization
Mathieu Carrière
Marc Theveneau
Théo Lacombe
56
1
0
29 May 2024
EMP: Effective Multidimensional Persistence for Graph Representation
  Learning
EMP: Effective Multidimensional Persistence for Graph Representation Learning
I. Segovia-Dominguez
Yuzhou Chen
Cüneyt Gürcan Akçora
Zhiwei Zhen
Murat Kantarcioglu
Yulia R. Gel
Baris Coskunuzer
82
4
0
24 Jan 2024
Explaining the Power of Topological Data Analysis in Graph Machine
  Learning
Explaining the Power of Topological Data Analysis in Graph Machine Learning
Funmilola Mary Taiwo
Umar Islambekov
Cüneyt Gürcan Akçora
AI4CE
102
4
0
08 Jan 2024
Improving Self-supervised Molecular Representation Learning using
  Persistent Homology
Improving Self-supervised Molecular Representation Learning using Persistent Homology
Yuankai Luo
Lei Shi
Veronika Thost
SSL
94
8
0
29 Nov 2023
Topological data analysis of human vowels: Persistent homologies across
  representation spaces
Topological data analysis of human vowels: Persistent homologies across representation spaces
Guillem Bonafos
Jean-Marc Freyermuth
Pierre Pudlo
Samuel Tronçon
Arnaud Rey
38
2
0
10 Oct 2023
A Topological Machine Learning Pipeline for Classification
A Topological Machine Learning Pipeline for Classification
Francesco Conti
Davide Moroni
M. A. Pascali
50
11
0
26 Sep 2023
Topological signatures of periodic-like signals
Topological signatures of periodic-like signals
Wojciech Reise
Bertrand Michel
Frédéric Chazal
8
2
0
23 Jun 2023
A topological classifier to characterize brain states: When shape
  matters more than variance
A topological classifier to characterize brain states: When shape matters more than variance
Aina Ferrà
G. Cecchini
Fritz-Pere Nobbe Fisas
Carles Casacuberta
I. Cos
69
2
0
07 Mar 2023
Testing Homological Equivalence Using Betti Numbers
Testing Homological Equivalence Using Betti Numbers
Satish Kumar
S. Dhar
49
0
0
25 Nov 2022
Rethinking Persistent Homology for Visual Recognition
Rethinking Persistent Homology for Visual Recognition
Ekaterina Khramtsova
Guido Zuccon
Xi Wang
Mahsa Baktashmotlagh
40
5
0
09 Jul 2022
Topological EEG Nonlinear Dynamics Analysis for Emotion Recognition
Topological EEG Nonlinear Dynamics Analysis for Emotion Recognition
Yan Yan
Xuan Wu
Chengdong Li
Yini He
Zhicheng Zhang
Huihui Li
Ang Li
Lei Wang
60
16
0
14 Mar 2022
RipsNet: a general architecture for fast and robust estimation of the
  persistent homology of point clouds
RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds
Thibault de Surrel
Felix Hensel
Mathieu Carrière
Théo Lacombe
Yuichi Ike
Hiroaki Kurihara
Marc Glisse
Frédéric Chazal
3DPC
71
19
0
03 Feb 2022
Functional Data Representation with Merge Trees
Functional Data Representation with Merge Trees
M. Pegoraro
P. Secchi
44
6
0
30 Aug 2021
A Random Persistence Diagram Generator
A Random Persistence Diagram Generator
Theodore Papamarkou
Farzana Nasrin
A. Lawson
Na Gong
Orlando Rios
Vasileios Maroulas
34
9
0
15 Apr 2021
Using Persistent Homology Topological Features to Characterize Medical
  Images: Case Studies on Lung and Brain Cancers
Using Persistent Homology Topological Features to Characterize Medical Images: Case Studies on Lung and Brain Cancers
Chul Moon
Qiwei Li
Guanghua Xiao
59
9
0
07 Dec 2020
Bootstrapping Persistent Betti Numbers and Other Stabilizing Statistics
Bootstrapping Persistent Betti Numbers and Other Stabilizing Statistics
Benjamin Roycraft
Johannes T. N. Krebs
W. Polonik
56
6
0
04 May 2020
PLLay: Efficient Topological Layer based on Persistence Landscapes
PLLay: Efficient Topological Layer based on Persistence Landscapes
Kwangho Kim
Jisu Kim
Manzil Zaheer
Joon Sik Kim
Frédéric Chazal
Larry A. Wasserman
45
13
0
07 Feb 2020
Understanding the Power of Persistence Pairing via Permutation Test
Understanding the Power of Persistence Pairing via Permutation Test
Chen Cai
Yusu Wang
36
6
0
16 Jan 2020
Testing goodness of fit for point processes via topological data
  analysis
Testing goodness of fit for point processes via topological data analysis
C. Biscio
Nicolas Chenavier
Christian Hirsch
A. Svane
62
25
0
18 Jun 2019
Persistent homology detects curvature
Persistent homology detects curvature
Peter Bubenik
M. Hull
Dhruv Patel
Benjamin Whittle
121
72
0
30 May 2019
PersLay: A Neural Network Layer for Persistence Diagrams and New Graph
  Topological Signatures
PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures
Mathieu Carrière
Frédéric Chazal
Yuichi Ike
Théo Lacombe
Martin Royer
Yuhei Umeda
65
183
0
20 Apr 2019
Persistence Curves: A canonical framework for summarizing persistence
  diagrams
Persistence Curves: A canonical framework for summarizing persistence diagrams
Yu-Min Chung
A. Lawson
43
74
0
16 Apr 2019
Approximating Continuous Functions on Persistence Diagrams Using
  Template Functions
Approximating Continuous Functions on Persistence Diagrams Using Template Functions
Jose A. Perea
E. Munch
Firas A. Khasawneh
29
27
0
19 Feb 2019
Time Series Featurization via Topological Data Analysis
Time Series Featurization via Topological Data Analysis
Kwangho Kim
Jisu Kim
Alessandro Rinaldo
AI4TS
36
4
0
07 Dec 2018
The persistence landscape and some of its properties
The persistence landscape and some of its properties
Peter Bubenik
46
63
0
11 Oct 2018
An introduction to Topological Data Analysis: fundamental and practical
  aspects for data scientists
An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists
Frédéric Chazal
Bertrand Michel
107
598
0
11 Oct 2017
Persistence Flamelets: multiscale Persistent Homology for kernel density
  exploration
Persistence Flamelets: multiscale Persistent Homology for kernel density exploration
T. Padellini
P. Brutti
41
4
0
20 Sep 2017
Tropical Sufficient Statistics for Persistent Homology
Tropical Sufficient Statistics for Persistent Homology
Anthea Monod
Sara Kalisnik
J. A. Patino-Galindo
Lorin Crawford
66
24
0
08 Sep 2017
Deep Learning with Topological Signatures
Deep Learning with Topological Signatures
Christoph Hofer
Roland Kwitt
Marc Niethammer
A. Uhl
3DPC
80
245
0
13 Jul 2017
Nonparametric Inference via Bootstrapping the Debiased Estimator
Nonparametric Inference via Bootstrapping the Debiased Estimator
Yen-Chi Chen
Yen-Chi Chen
58
22
0
22 Feb 2017
Statistical Analysis of Persistence Intensity Functions
Statistical Analysis of Persistence Intensity Functions
Yen-Chi Chen
Daren Wang
Alessandro Rinaldo
Larry A. Wasserman
88
52
0
08 Oct 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
78
70
0
06 Jul 2015
A persistence landscapes toolbox for topological statistics
A persistence landscapes toolbox for topological statistics
Peter Bubenik
Paweł Dłotko
142
163
0
31 Dec 2014
Introduction to the R package TDA
Introduction to the R package TDA
Brittany Terese Fasy
Jisu Kim
F. Lecci
Clément Maria
134
134
0
07 Nov 2014
Inference on causal and structural parameters using many moment
  inequalities
Inference on causal and structural parameters using many moment inequalities
Victor Chernozhukov
Denis Chetverikov
Kengo Kato
151
118
0
30 Dec 2013
Statistical topological data analysis using persistence landscapes
Statistical topological data analysis using persistence landscapes
Peter Bubenik
169
864
0
27 Jul 2012
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