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Kernel method for persistence diagrams via kernel embedding and weight
  factor

Kernel method for persistence diagrams via kernel embedding and weight factor

Journal of machine learning research (JMLR), 2017
12 June 2017
G. Kusano
Kenji Fukumizu
Y. Hiraoka
ArXiv (abs)PDFHTML

Papers citing "Kernel method for persistence diagrams via kernel embedding and weight factor"

31 / 31 papers shown
Title
Persistence Spheres: Bi-continuous Representations of Persistence Diagrams
Persistence Spheres: Bi-continuous Representations of Persistence Diagrams
Matteo Pegoraro
54
0
0
21 Sep 2025
Scalable Sobolev IPM for Probability Measures on a Graph
Scalable Sobolev IPM for Probability Measures on a Graph
Tam Le
Truyen V. Nguyen
H. Hino
Kenji Fukumizu
319
2
0
02 Feb 2025
Topology-Informed Machine Learning for Efficient Prediction of Solid
  Oxide Fuel Cell Electrode Polarization
Topology-Informed Machine Learning for Efficient Prediction of Solid Oxide Fuel Cell Electrode PolarizationEnergy and AI (EA), 2024
Maksym Szemer
Szymon Buchaniec
Tomasz Prokop
G. Brus
101
10
0
04 Oct 2024
PI-Att: Topology Attention for Segmentation Networks through Adaptive
  Persistence Image Representation
PI-Att: Topology Attention for Segmentation Networks through Adaptive Persistence Image Representation
Mehmet Bahadir Erden
S. Unver
I. A. Gurses
R. Turkay
C. Gunduz-Demir
174
0
0
15 Aug 2024
Persistence kernels for classification: A comparative study
Persistence kernels for classification: A comparative study
Cinzia Bandiziol
Stefano De Marchi
121
0
0
09 Aug 2024
Sparse Portfolio Selection via Topological Data Analysis based
  Clustering
Sparse Portfolio Selection via Topological Data Analysis based Clustering
Anubha Goel
Damir Filipović
P. Pasricha
49
3
0
30 Jan 2024
Two-sample tests for relevant differences in persistence diagrams
Two-sample tests for relevant differences in persistence diagrams
Johannes Krebs
Daniel Rademacher
112
1
0
18 Jan 2024
Optimal Transport for Measures with Noisy Tree Metric
Optimal Transport for Measures with Noisy Tree Metric
Tam Le
Truyen V. Nguyen
Kenji Fukumizu
OT
305
7
0
20 Oct 2023
Adaptive Topological Feature via Persistent Homology: Filtration
  Learning for Point Clouds
Adaptive Topological Feature via Persistent Homology: Filtration Learning for Point CloudsNeural Information Processing Systems (NeurIPS), 2023
Naoki Nishikawa
Yuichi Ike
Kenji Yamanishi
3DPC
101
11
0
18 Jul 2023
Do Neural Networks Trained with Topological Features Learn Different
  Internal Representations?
Do Neural Networks Trained with Topological Features Learn Different Internal Representations?
Sarah McGuire
Shane Jackson
Tegan H. Emerson
Henry Kvinge
122
5
0
14 Nov 2022
Reliable Malware Analysis and Detection using Topology Data Analysis
Reliable Malware Analysis and Detection using Topology Data Analysis
L. Tidjon
Foutse Khomh
141
3
0
03 Nov 2022
Sobolev Transport: A Scalable Metric for Probability Measures with Graph
  Metrics
Sobolev Transport: A Scalable Metric for Probability Measures with Graph MetricsInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2022
Tam Le
Truyen V. Nguyen
Dinh Q. Phung
Viet Anh Nguyen
OT
204
20
0
22 Feb 2022
Persformer: A Transformer Architecture for Topological Machine Learning
Persformer: A Transformer Architecture for Topological Machine Learning
Raphael Reinauer
Matteo Caorsi
Nicolas Berkouk
190
18
0
30 Dec 2021
Generalized Shape Metrics on Neural Representations
Generalized Shape Metrics on Neural RepresentationsNeural Information Processing Systems (NeurIPS), 2021
Alex H. Williams
Erin M Kunz
Simon Kornblith
Scott W. Linderman
MedIm
159
132
0
27 Oct 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
180
81
0
01 Jun 2021
A Domain-Oblivious Approach for Learning Concise Representations of
  Filtered Topological Spaces for Clustering
A Domain-Oblivious Approach for Learning Concise Representations of Filtered Topological Spaces for ClusteringIEEE Transactions on Visualization and Computer Graphics (TVCG), 2021
Yuzhen Qin
Brittany Terese Fasy
C. Wenk
Brian Summa
275
4
0
25 May 2021
Entropy Partial Transport with Tree Metrics: Theory and Practice
Entropy Partial Transport with Tree Metrics: Theory and PracticeInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Tam Le
Truyen V. Nguyen
OT
135
17
0
24 Jan 2021
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
121
0
0
27 Nov 2020
Adaptive Partitioning for Template Functions on Persistence Diagrams
Adaptive Partitioning for Template Functions on Persistence DiagramsInternational Conference on Machine Learning and Applications (ICMLA), 2019
Sarah Tymochko
E. Munch
Firas A. Khasawneh
91
8
0
18 Oct 2019
Persistence B-Spline Grids: Stable Vector Representation of Persistence
  Diagrams Based on Data Fitting
Persistence B-Spline Grids: Stable Vector Representation of Persistence Diagrams Based on Data FittingMachine-mediated learning (ML), 2019
Zhetong Dong
Hongwei Lin
Chi Zhou
124
7
0
17 Sep 2019
Topological Feature Vectors for Chatter Detection in Turning Processes
Topological Feature Vectors for Chatter Detection in Turning ProcessesThe International Journal of Advanced Manufacturing Technology (Int J Adv Manuf Technol), 2019
Melih C. Yesilli
Firas A. Khasawneh
Andreas Otto
162
32
0
21 May 2019
Same But Different: Distance Correlations Between Topological Summaries
Same But Different: Distance Correlations Between Topological Summaries
Katharine Turner
Gard Spreemann
148
17
0
04 Mar 2019
Topological Bayesian Optimization with Persistence Diagrams
Topological Bayesian Optimization with Persistence Diagrams
T. Shiraishi
Tam Le
H. Kashima
M. Yamada
114
2
0
26 Feb 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
177
29
0
19 Feb 2019
Tree-Sliced Variants of Wasserstein Distances
Tree-Sliced Variants of Wasserstein DistancesNeural Information Processing Systems (NeurIPS), 2019
Tam Le
M. Yamada
Kenji Fukumizu
Marco Cuturi
OT
298
91
0
01 Feb 2019
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
95
32
0
19 Jun 2018
On the Expectation of a Persistence Diagram by the Persistence Weighted
  Kernel
On the Expectation of a Persistence Diagram by the Persistence Weighted Kernel
G. Kusano
166
3
0
22 Mar 2018
Persistence Fisher Kernel: A Riemannian Manifold Kernel for Persistence
  Diagrams
Persistence Fisher Kernel: A Riemannian Manifold Kernel for Persistence Diagrams
Tam Le
M. Yamada
226
81
0
10 Feb 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
319
697
0
11 Oct 2017
Persistence Diagrams with Linear Machine Learning Models
Persistence Diagrams with Linear Machine Learning Models
I. Obayashi
Y. Hiraoka
142
96
0
30 Jun 2017
Sliced Wasserstein Kernel for Persistence Diagrams
Sliced Wasserstein Kernel for Persistence DiagramsInternational Conference on Machine Learning (ICML), 2017
Mathieu Carrière
Marco Cuturi
S. Oudot
166
251
0
11 Jun 2017
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