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Statistical topological data analysis using persistence landscapes

Statistical topological data analysis using persistence landscapes

27 July 2012
Peter Bubenik
ArXivPDFHTML

Papers citing "Statistical topological data analysis using persistence landscapes"

30 / 30 papers shown
Title
Directional Sign Loss: A Topology-Preserving Loss Function that Approximates the Sign of Finite Differences
Directional Sign Loss: A Topology-Preserving Loss Function that Approximates the Sign of Finite Differences
Harvey Dam
Tripti Agarwal
Ganesh Gopalakrishnan
33
0
0
05 Apr 2025
A Mapper Algorithm with implicit intervals and its optimization
A Mapper Algorithm with implicit intervals and its optimization
Yuyang Tao
Shufei Ge
68
0
0
16 Dec 2024
D-GRIL: End-to-End Topological Learning with 2-parameter Persistence
D-GRIL: End-to-End Topological Learning with 2-parameter Persistence
Soham Mukherjee
Shreyas N. Samaga
Cheng Xin
Steve Oudot
Tamal K. Dey
37
6
0
11 Jun 2024
Tensor-view Topological Graph Neural Network
Tensor-view Topological Graph Neural Network
Tao Wen
Elynn Chen
Yuzhou Chen
18
8
0
22 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
16
3
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
6
8
0
29 Nov 2023
Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)
Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)
Mathieu Pont
Julien Tierny
8
3
0
05 Jul 2023
Topology-Aware Focal Loss for 3D Image Segmentation
Topology-Aware Focal Loss for 3D Image Segmentation
Andac Demir
Elie Massaad
B. Kiziltan
10
8
0
24 Apr 2023
Euler Characteristic Tools For Topological Data Analysis
Euler Characteristic Tools For Topological Data Analysis
Olympio Hacquard
Vadim Lebovici
20
9
0
24 Mar 2023
Invariant Representations of Embedded Simplicial Complexes
Invariant Representations of Embedded Simplicial Complexes
Taejin Paik
10
1
0
27 Feb 2023
Importance attribution in neural networks by means of persistence
  landscapes of time series
Importance attribution in neural networks by means of persistence landscapes of time series
Aina Ferrà
Carles Casacuberta
O. Pujol
AI4TS
34
4
0
06 Feb 2023
Testing Homological Equivalence Using Betti Numbers
Testing Homological Equivalence Using Betti Numbers
Satish Kumar
S. Dhar
12
0
0
25 Nov 2022
A Novel Tree Visualization to Guide Interactive Exploration of
  Multi-dimensional Topological Hierarchies
A Novel Tree Visualization to Guide Interactive Exploration of Multi-dimensional Topological Hierarchies
Y. Livnat
D. Maljovec
A. Gyulassy
Dr Baptiste Mouginot
Valerio Pascucci
12
0
0
15 Aug 2022
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)
Mathieu Pont
Jules Vidal
Julien Tierny
11
7
0
22 Jul 2022
A Primer on Topological Data Analysis to Support Image Analysis Tasks in
  Environmental Science
A Primer on Topological Data Analysis to Support Image Analysis Tasks in Environmental Science
Lander Ver Hoef
Henry Adams
E. King
I. Ebert‐Uphoff
17
16
0
21 Jul 2022
Scalable algorithms for physics-informed neural and graph networks
Scalable algorithms for physics-informed neural and graph networks
K. Shukla
Mengjia Xu
N. Trask
George Karniadakis
PINN
AI4CE
42
39
0
16 May 2022
Approximating Persistent Homology for Large Datasets
Approximating Persistent Homology for Large Datasets
Yueqi Cao
Anthea Monod
8
9
0
19 Apr 2022
Persistent Homology for Breast Tumor Classification using Mammogram
  Scans
Persistent Homology for Breast Tumor Classification using Mammogram Scans
Aras T. Asaad
Dashti Ali
Taban F. Majeed
R. Rashid
21
11
0
07 Jan 2022
Nonparametric Topological Layers in Neural Networks
Nonparametric Topological Layers in Neural Networks
Dongfang Zhao
6
0
0
27 Nov 2021
Activation Landscapes as a Topological Summary of Neural Network
  Performance
Activation Landscapes as a Topological Summary of Neural Network Performance
Matthew Wheeler
Jose J. Bouza
Peter Bubenik
16
19
0
19 Oct 2021
Quantum Topological Data Analysis with Linear Depth and Exponential
  Speedup
Quantum Topological Data Analysis with Linear Depth and Exponential Speedup
Shashanka Ubaru
I. Akhalwaya
M. Squillante
K. Clarkson
L. Horesh
14
26
0
05 Aug 2021
Bootstrapping Persistent Betti Numbers and Other Stabilizing Statistics
Bootstrapping Persistent Betti Numbers and Other Stabilizing Statistics
Benjamin Roycraft
Johannes T. N. Krebs
W. Polonik
11
5
0
04 May 2020
Topological Machine Learning for Multivariate Time Series
Topological Machine Learning for Multivariate Time Series
Chengyuan Wu
C. Hargreaves
AI4TS
17
10
0
27 Nov 2019
A persistent homology approach to heart rate variability analysis with
  an application to sleep-wake classification
A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification
Yu-Min Chung
Chuan-Shen Hu
Y. Lo
Hau‐Tieng Wu
13
51
0
09 Aug 2019
The persistence landscape and some of its properties
The persistence landscape and some of its properties
Peter Bubenik
23
62
0
11 Oct 2018
Persistent homology machine learning for fingerprint classification
Persistent homology machine learning for fingerprint classification
Noah Giansiracusa
Robert S. Giansiracusa
Chul Moon
25
41
0
24 Nov 2017
Supervised Learning with Indefinite Topological Kernels
Supervised Learning with Indefinite Topological Kernels
T. Padellini
P. Brutti
16
6
0
20 Sep 2017
Sparse-TDA: Sparse Realization of Topological Data Analysis for
  Multi-Way Classification
Sparse-TDA: Sparse Realization of Topological Data Analysis for Multi-Way Classification
W. Guo
Krithika Manohar
Steven L. Brunton
A. Banerjee
21
31
0
12 Jan 2017
Applying Topological Persistence in Convolutional Neural Network for
  Music Audio Signals
Applying Topological Persistence in Convolutional Neural Network for Music Audio Signals
Jen-Yu Liu
Shyh-Kang Jeng
Yi-Hsuan Yang
16
35
0
26 Aug 2016
Robust Topological Inference: Distance To a Measure and Kernel Distance
Robust Topological Inference: Distance To a Measure and Kernel Distance
Frédéric Chazal
Brittany Terese Fasy
F. Lecci
Bertrand Michel
Alessandro Rinaldo
Larry A. Wasserman
32
175
0
22 Dec 2014
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