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Persistence Images: A Stable Vector Representation of Persistent
  Homology
v1v2v3 (latest)

Persistence Images: A Stable Vector Representation of Persistent Homology

Journal of machine learning research (JMLR), 2015
22 July 2015
Henry Adams
Sofya Chepushtanova
Tegan H. Emerson
Eric M. Hanson
Michael Kirby
Francis C. Motta
R. Neville
C. Peterson
Patrick D. Shipman
Lori Ziegelmeier
ArXiv (abs)PDFHTML

Papers citing "Persistence Images: A Stable Vector Representation of Persistent Homology"

50 / 239 papers shown
Topology-Aware Segmentation Using Discrete Morse Theory
Topology-Aware Segmentation Using Discrete Morse TheoryInternational Conference on Learning Representations (ICLR), 2021
Xiaoling Hu
Yusu Wang
Fuxin Li
Dimitris Samaras
Chao Chen
206
103
0
18 Mar 2021
Quantitative Performance Assessment of CNN Units via Topological Entropy
  Calculation
Quantitative Performance Assessment of CNN Units via Topological Entropy CalculationInternational Conference on Learning Representations (ICLR), 2021
Yang Zhao
Hao Zhang
239
8
0
17 Mar 2021
Learning Hyperbolic Representations of Topological Features
Learning Hyperbolic Representations of Topological FeaturesInternational Conference on Learning Representations (ICLR), 2021
Panagiotis Kyriakis
Iordanis Fostiropoulos
P. Bogdan
105
12
0
16 Mar 2021
Link Prediction with Persistent Homology: An Interactive View
Link Prediction with Persistent Homology: An Interactive ViewInternational Conference on Machine Learning (ICML), 2021
Zuoyu Yan
Tengfei Ma
Liangcai Gao
Zhi Tang
Chao Chen
163
55
0
20 Feb 2021
A Topological Approach for Motion Track Discrimination
A Topological Approach for Motion Track Discrimination
Tegan H. Emerson
Sarah Tymochko
G. Stantchev
J. Edelberg
Michael Wilson
C. Olson
64
1
0
10 Feb 2021
From Geometry to Topology: Inverse Theorems for Distributed Persistence
From Geometry to Topology: Inverse Theorems for Distributed PersistenceInternational Symposium on Computational Geometry (SoCG), 2021
Elchanan Solomon
Alexander Wagner
Paul Bendich
246
23
0
28 Jan 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
167
17
0
24 Jan 2021
TDA-Net: Fusion of Persistent Homology and Deep Learning Features for
  COVID-19 Detection in Chest X-Ray Images
TDA-Net: Fusion of Persistent Homology and Deep Learning Features for COVID-19 Detection in Chest X-Ray ImagesAnnual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2021
Pavlo Vasylenko
Ghada Zamzmi
F. Batayneh
218
28
0
21 Jan 2021
Characterizing and Measuring the Similarity of Neural Networks with
  Persistent Homology
Characterizing and Measuring the Similarity of Neural Networks with Persistent Homology
David Pérez-Fernández
Asier Gutiérrez-Fandiño
Jordi Armengol-Estapé
Marta Villegas
198
7
0
19 Jan 2021
Towards glass-box CNNs
Towards glass-box CNNs
Manaswini Piduguralla
Jignesh S. Bhatt
140
4
0
11 Jan 2021
Optimisation of Spectral Wavelets for Persistence-based Graph
  Classification
Optimisation of Spectral Wavelets for Persistence-based Graph ClassificationFrontiers in Applied Mathematics and Statistics (Front. Appl. Math. Stat.), 2021
Ka Man Yim
Jacob Leygonie
223
5
0
10 Jan 2021
Cycle Registration in Persistent Homology with Applications in
  Topological Bootstrap
Cycle Registration in Persistent Homology with Applications in Topological BootstrapIEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2021
Yohai Reani
O. Bobrowski
257
25
0
03 Jan 2021
Shape-based Feature Engineering for Solar Flare Prediction
Shape-based Feature Engineering for Solar Flare PredictionAAAI Conference on Artificial Intelligence (AAAI), 2020
V. Deshmukh
T. Berger
J. Meiss
E. Bradley
AI4CE
102
6
0
28 Dec 2020
Event History and Topological Data Analysis
Event History and Topological Data Analysis
K. Garside
Aida Gjoka
R. Henderson
Hollie Johnson
I. Makarenko
150
9
0
16 Dec 2020
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
Tao Wang
458
15
0
07 Dec 2020
Topological Echoes of Primordial Physics in the Universe at Large Scales
Topological Echoes of Primordial Physics in the Universe at Large Scales
A. Cole
M. Biagetti
G. Shiu
109
4
0
07 Dec 2020
A New Non-archimedean Metric on Persistent Homology
A New Non-archimedean Metric on Persistent HomologyComputational statistics (Zeitschrift) (CSZ), 2020
Ismail Güzel
A. Kaygun
92
4
0
04 Dec 2020
Can neural networks learn persistent homology features?
Can neural networks learn persistent homology features?
Guido Montúfar
N. Otter
Yuguang Wang
137
12
0
30 Nov 2020
Multidimensional Persistence Module Classification via Lattice-Theoretic
  Convolutions
Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions
Hans Riess
J. Hansen
Robert Ghrist
138
5
0
28 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
135
0
0
27 Nov 2020
The Interconnectivity Vector: A Finite-Dimensional Vector Representation
  of Persistent Homology
The Interconnectivity Vector: A Finite-Dimensional Vector Representation of Persistent Homology
Megan Johnson
Jae-Hun Jung
63
2
0
23 Nov 2020
Argumentative Topology: Finding Loop(holes) in Logic
Argumentative Topology: Finding Loop(holes) in Logic
Sarah Tymochko
Zach New
Lucius E.J. Bynum
Emilie Purvine
T. Doster
Julien Chaput
Tegan H. Emerson
113
4
0
17 Nov 2020
Image analysis for Alzheimer's disease prediction: Embracing
  pathological hallmarks for model architecture design
Image analysis for Alzheimer's disease prediction: Embracing pathological hallmarks for model architecture design
Sarah C. Brüningk
Felix Hensel
C. Jutzeler
Bastian Rieck
155
4
0
12 Nov 2020
Topological Regularization via Persistence-Sensitive Optimization
Topological Regularization via Persistence-Sensitive Optimization
Arnur Nigmetov
Aditi S. Krishnapriyan
Nicole F. Sanderson
Dmitriy Morozov
AAML
112
7
0
10 Nov 2020
PersGNN: Applying Topological Data Analysis and Geometric Deep Learning
  to Structure-Based Protein Function Prediction
PersGNN: Applying Topological Data Analysis and Geometric Deep Learning to Structure-Based Protein Function Prediction
Nicolas Swenson
Aditi S. Krishnapriyan
A. Buluç
Dmitriy Morozov
Katherine Yelick
152
19
0
30 Oct 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
94
35
0
07 Oct 2020
Visual Object Recognition in Indoor Environments Using Topologically
  Persistent Features
Visual Object Recognition in Indoor Environments Using Topologically Persistent Features
Ekta U. Samani
Xingjian Yang
A. Banerjee
300
14
0
07 Oct 2020
Machine learning with persistent homology and chemical word embeddings
  improves prediction accuracy and interpretability in metal-organic frameworks
Machine learning with persistent homology and chemical word embeddings improves prediction accuracy and interpretability in metal-organic frameworks
Aditi S. Krishnapriyan
Joseph H. Montoya
Maciej Haranczyk
J. Hummelshøj
Dmitriy Morozov
AI4CE
153
4
0
01 Oct 2020
Bayesian Topological Learning for Classifying the Structure of
  Biological Networks
Bayesian Topological Learning for Classifying the Structure of Biological NetworksBayesian Analysis (BA), 2020
Vasileios Maroulas
Cassie Putman Micucci
Farzana Nasrin
145
8
0
24 Sep 2020
Robust Persistence Diagrams using Reproducing Kernels
Robust Persistence Diagrams using Reproducing Kernels
Siddharth Vishwanath
Kenji Fukumizu
S. Kuriki
Bharath K. Sriperumbudur
329
8
0
17 Jun 2020
Uncovering the Topology of Time-Varying fMRI Data using Cubical
  Persistence
Uncovering the Topology of Time-Varying fMRI Data using Cubical PersistenceNeural Information Processing Systems (NeurIPS), 2020
Bastian Rieck
T. Yates
Christian Bock
Karsten Borgwardt
Guy Wolf
Nicholas Turk-Browne
Smita Krishnaswamy
194
64
0
14 Jun 2020
Cubical Ripser: Software for computing persistent homology of image and
  volume data
Cubical Ripser: Software for computing persistent homology of image and volume data
S. Kaji
Takeki Sudo
K. Ahara
144
46
0
23 May 2020
Topological Descriptors for Parkinson's Disease Classification and
  Regression Analysis
Topological Descriptors for Parkinson's Disease Classification and Regression AnalysisAnnual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2020
A. Nawar
Farhan Rahman
Narayanan Krishnamurthi
Anirudh Som
Pavan Turaga
113
12
0
15 Apr 2020
IVFS: Simple and Efficient Feature Selection for High Dimensional
  Topology Preservation
IVFS: Simple and Efficient Feature Selection for High Dimensional Topology PreservationAAAI Conference on Artificial Intelligence (AAAI), 2020
Xiaoyun Li
Chenxi Wu
P. Li
89
4
0
02 Apr 2020
Topological Machine Learning for Mixed Numeric and Categorical Data
Topological Machine Learning for Mixed Numeric and Categorical Data
Chengyuan Wu
C. Hargreaves
161
7
0
10 Mar 2020
Optimal quantization of the mean measure and applications to statistical
  learning
Optimal quantization of the mean measure and applications to statistical learning
Frédéric Chazal
Clément Levrard
Martin Royer
272
5
0
04 Feb 2020
Big-Data Science in Porous Materials: Materials Genomics and Machine
  Learning
Big-Data Science in Porous Materials: Materials Genomics and Machine LearningChemical Reviews (Chem. Rev.), 2020
Kevin Maik Jablonka
D. Ongari
S. M. Moosavi
B. Smit
AI4CE
264
410
0
18 Jan 2020
Understanding the Power of Persistence Pairing via Permutation Test
Understanding the Power of Persistence Pairing via Permutation Test
Chen Cai
Yusu Wang
114
6
0
16 Jan 2020
Topological Descriptors Help Predict Guest Adsorption in Nanoporous
  Materials
Topological Descriptors Help Predict Guest Adsorption in Nanoporous MaterialsJournal of Physical Chemistry C (JPCC), 2020
Aditi S. Krishnapriyan
Maciej Haranczyk
Dmitriy Morozov
OOD
143
53
0
16 Jan 2020
An Analysis of an Integrated Mathematical Modeling -- Artificial Neural
  Network Approach for the Problems with a Limited Learning Dataset
An Analysis of an Integrated Mathematical Modeling -- Artificial Neural Network Approach for the Problems with a Limited Learning Dataset
Szymon Buchaniec
M. Gnatowski
G. Brus
108
18
0
08 Nov 2019
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
111
8
0
18 Oct 2019
Adaptive template systems: Data-driven feature selection for learning
  with persistence diagrams
Adaptive template systems: Data-driven feature selection for learning with persistence diagramsInternational Conference on Machine Learning and Applications (ICMLA), 2019
Luis Polanco
Jose A. Perea
53
14
0
13 Oct 2019
ATOL: Measure Vectorization for Automatic Topologically-Oriented
  Learning
ATOL: Measure Vectorization for Automatic Topologically-Oriented Learning
Martin Royer
Frédéric Chazal
Clément Levrard
Yuhei Umeda
Yuichi Ike
135
2
0
30 Sep 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
132
7
0
17 Sep 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 classificationFrontiers in Physiology (Front. Physiol.), 2019
Yu-Min Chung
Chuan-Shen Hu
Y. Lo
Hau‐Tieng Wu
178
58
0
09 Aug 2019
Topological Machine Learning with Persistence Indicator Functions
Topological Machine Learning with Persistence Indicator FunctionsMathematics and Visualization (MV), 2019
Bastian Rieck
F. Sadlo
Heike Leitte
57
47
0
31 Jul 2019
Progressive Wasserstein Barycenters of Persistence Diagrams
Progressive Wasserstein Barycenters of Persistence DiagramsIEEE Transactions on Visualization and Computer Graphics (IEEE TVCG), 2019
Jules Vidal
J. Budin
Julien Tierny
163
46
0
10 Jul 2019
Topology-Preserving Deep Image Segmentation
Topology-Preserving Deep Image SegmentationNeural Information Processing Systems (NeurIPS), 2019
Xiaoling Hu
Fuxin Li
Dimitris Samaras
Chao Chen
152
316
0
12 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
Karthikeyan N. Ramamurthy
M. Buman
Pavan Turaga
3DH
176
32
0
05 Jun 2019
Topological Autoencoders
Topological AutoencodersInternational Conference on Machine Learning (ICML), 2019
Michael Moor
Max Horn
Bastian Rieck
Karsten Borgwardt
429
176
0
03 Jun 2019
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