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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"

50 / 63 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
38
0
0
05 Apr 2025
A Metric Topology of Deep Learning for Data Classification
A Metric Topology of Deep Learning for Data Classification
Jwo-Yuh Wu
L. Huang
Wen-Hsuan Li
Chun-Hung Liu
80
0
0
20 Jan 2025
A Mapper Algorithm with implicit intervals and its optimization
A Mapper Algorithm with implicit intervals and its optimization
Yuyang Tao
Shufei Ge
78
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
50
6
0
11 Jun 2024
Topological Feature Search Method for Multichannel EEG: Application in
  ADHD classification
Topological Feature Search Method for Multichannel EEG: Application in ADHD classification
Tianming Cai
Guoying Zhao
Junbin Zang
Chen Zong
Zhidong Zhang
Chenyang Xue
18
2
0
10 Apr 2024
Tensor-view Topological Graph Neural Network
Tensor-view Topological Graph Neural Network
Tao Wen
Elynn Chen
Yuzhou Chen
39
9
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
39
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
34
8
0
29 Nov 2023
Multiparameter Persistent Homology for Molecular Property Prediction
Multiparameter Persistent Homology for Molecular Property Prediction
Andac Demir
B. Kiziltan
22
1
0
17 Nov 2023
Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)
Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)
Mathieu Pont
Julien Tierny
26
3
0
05 Jul 2023
A fast topological approach for predicting anomalies in time-varying
  graphs
A fast topological approach for predicting anomalies in time-varying graphs
Umar Islambekov
Hasani Pathirana
O. Khormali
Cüneyt Gürcan Akçora
Ekaterina Smirnova
13
1
0
11 May 2023
Topology-Aware Focal Loss for 3D Image Segmentation
Topology-Aware Focal Loss for 3D Image Segmentation
Andac Demir
Elie Massaad
B. Kiziltan
23
8
0
24 Apr 2023
Topological Point Cloud Clustering
Topological Point Cloud Clustering
Vincent P. Grande
Michael T. Schaub
3DPC
21
7
0
29 Mar 2023
Euler Characteristic Tools For Topological Data Analysis
Euler Characteristic Tools For Topological Data Analysis
Olympio Hacquard
Vadim Lebovici
28
9
0
24 Mar 2023
Invariant Representations of Embedded Simplicial Complexes
Invariant Representations of Embedded Simplicial Complexes
Taejin Paik
21
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
50
4
0
06 Feb 2023
Testing Homological Equivalence Using Betti Numbers
Testing Homological Equivalence Using Betti Numbers
Satish Kumar
S. Dhar
29
0
0
25 Nov 2022
ToDD: Topological Compound Fingerprinting in Computer-Aided Drug
  Discovery
ToDD: Topological Compound Fingerprinting in Computer-Aided Drug Discovery
Andac Demir
Baris Coskunuzer
I. Segovia-Dominguez
Yuzhou Chen
Yulia R. Gel
B. Kiziltan
16
16
0
07 Nov 2022
$k$-Means Clustering for Persistent Homology
kkk-Means Clustering for Persistent Homology
Yueqi Cao
P. Leung
Anthea Monod
16
3
0
18 Oct 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
18
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
19
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
42
17
0
21 Jul 2022
Zeroth-Order Topological Insights into Iterative Magnitude Pruning
Zeroth-Order Topological Insights into Iterative Magnitude Pruning
Aishwarya H. Balwani
J. Krzyston
29
2
0
14 Jun 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
69
40
0
16 May 2022
Approximating Persistent Homology for Large Datasets
Approximating Persistent Homology for Large Datasets
Yueqi Cao
Anthea Monod
16
9
0
19 Apr 2022
Reconstruction of univariate functions from directional persistence
  diagrams
Reconstruction of univariate functions from directional persistence diagrams
Aina Ferrà
Carles Casacuberta
O. Pujol
26
1
0
03 Mar 2022
A Topology-Attention ConvLSTM Network and Its Application to EM Images
A Topology-Attention ConvLSTM Network and Its Application to EM Images
Jiaqi Yang
Xiaoling Hu
Chao Chen
Chialing Tsai
3DPC
MedIm
22
3
0
07 Feb 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
29
11
0
07 Jan 2022
Persformer: A Transformer Architecture for Topological Machine Learning
Persformer: A Transformer Architecture for Topological Machine Learning
Raphael Reinauer
Matteo Caorsi
Nicolas Berkouk
32
15
0
30 Dec 2021
Nonparametric Topological Layers in Neural Networks
Nonparametric Topological Layers in Neural Networks
Dongfang Zhao
13
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
34
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
20
26
0
05 Aug 2021
Topological Attention for Time Series Forecasting
Topological Attention for Time Series Forecasting
Sebastian Zeng
Florian Graf
Christoph Hofer
Roland Kwitt
AI4TS
13
24
0
19 Jul 2021
Wasserstein Distances, Geodesics and Barycenters of Merge Trees
Wasserstein Distances, Geodesics and Barycenters of Merge Trees
Mathieu Pont
Jules Vidal
J. Delon
Julien Tierny
31
36
0
16 Jul 2021
Topological Detection of Trojaned Neural Networks
Topological Detection of Trojaned Neural Networks
Songzhu Zheng
Yikai Zhang
H. Wagner
Mayank Goswami
Chao Chen
AAML
29
40
0
11 Jun 2021
Scalar Field Comparison with Topological Descriptors: Properties and
  Applications for Scientific Visualization
Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization
Lin Yan
Talha Bin Masood
Raghavendra Sridharamurthy
Farhan Rasheed
Vijay Natarajan
Ingrid Hotz
Bei Wang
10
68
0
01 Jun 2021
Persistent Homology and Graphs Representation Learning
Persistent Homology and Graphs Representation Learning
Mustafa Hajij
Ghaza Zamzmi
X. Cai
40
5
0
25 Feb 2021
Event History and Topological Data Analysis
Event History and Topological Data Analysis
K. Garside
Aida Gjoka
R. Henderson
Hollie Johnson
I. Makarenko
18
7
0
16 Dec 2020
Can neural networks learn persistent homology features?
Can neural networks learn persistent homology features?
Guido Montúfar
N. Otter
Yuguang Wang
23
12
0
30 Nov 2020
A Sheaf and Topology Approach to Generating Local Branch Numbers in
  Digital Images
A Sheaf and Topology Approach to Generating Local Branch Numbers in Digital Images
Chuan-Shen Hu
Yu-Min Chung
10
0
0
27 Nov 2020
Capturing Dynamics of Time-Varying Data via Topology
Capturing Dynamics of Time-Varying Data via Topology
Lu Xian
Henry Adams
C. Topaz
Lori Ziegelmeier
17
29
0
07 Oct 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
22
6
0
04 May 2020
Topological Machine Learning for Multivariate Time Series
Topological Machine Learning for Multivariate Time Series
Chengyuan Wu
C. Hargreaves
AI4TS
25
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
27
51
0
09 Aug 2019
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
11
23
0
18 Jun 2019
PI-Net: A Deep Learning Approach to Extract Topological Persistence
  Images
PI-Net: A Deep Learning Approach to Extract Topological Persistence Images
Anirudh Som
Hongjun Choi
K. Ramamurthy
M. Buman
P. Turaga
3DH
29
29
0
05 Jun 2019
A Probabilistic framework for Quantum Clustering
A Probabilistic framework for Quantum Clustering
Raúl V. Casaña Eslava
P. Lisboa
S. Ortega-Martorell
I. Jarman
J. D. Martín-Guerrero
11
3
0
14 Feb 2019
Persistence Bag-of-Words for Topological Data Analysis
Persistence Bag-of-Words for Topological Data Analysis
Bartosz Zieliñski
Michal Lipinski
M. Juda
Matthias Zeppelzauer
Paweł Dłotko
14
22
0
21 Dec 2018
The persistence landscape and some of its properties
The persistence landscape and some of its properties
Peter Bubenik
25
62
0
11 Oct 2018
On the Metric Distortion of Embedding Persistence Diagrams into
  separable Hilbert spaces
On the Metric Distortion of Embedding Persistence Diagrams into separable Hilbert spaces
Mathieu Carrière
Ulrich Bauer
11
28
0
19 Jun 2018
12
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