Persistence Images: A Stable Vector Representation of Persistent Homology

22 July 2015

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

32 / 82 papers shown

Title
TDA-Net: Fusion of Persistent Homology and Deep Learning Features for COVID-19 Detection in Chest X-Ray Images Mustafa Hajij Ghada Zamzmi F. Batayneh 27 21 0 21 Jan 2021
Event History and Topological Data Analysis K. Garside Aida Gjoka R. Henderson Hollie Johnson I. Makarenko 29 7 0 16 Dec 2020
Topological Echoes of Primordial Physics in the Universe at Large Scales A. Cole M. Biagetti G. Shiu 16 2 0 07 Dec 2020
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 Chuan-Shen Hu Yu-Min Chung 13 0 0 27 Nov 2020
Image analysis for Alzheimer's disease prediction: Embracing pathological hallmarks for model architecture design Sarah C. Brüningk Felix Hensel C. Jutzeler Bastian Alexander Rieck 21 4 0 12 Nov 2020
Topological Regularization via Persistence-Sensitive Optimization Arnur Nigmetov Aditi S. Krishnapriyan Nicole F. Sanderson Dmitriy Morozov AAML 30 6 0 10 Nov 2020
Capturing Dynamics of Time-Varying Data via Topology Lu Xian Henry Adams C. Topaz Lori Ziegelmeier 17 29 0 07 Oct 2020
Robust Persistence Diagrams using Reproducing Kernels Siddharth Vishwanath Kenji Fukumizu S. Kuriki Bharath K. Sriperumbudur 23 7 0 17 Jun 2020
Cubical Ripser: Software for computing persistent homology of image and volume data S. Kaji Takeki Sudo K. Ahara 14 37 0 23 May 2020
Topological Descriptors Help Predict Guest Adsorption in Nanoporous Materials Aditi S. Krishnapriyan Maciej Haranczyk Dmitriy Morozov OOD 11 45 0 16 Jan 2020
Adaptive template systems: Data-driven feature selection for learning with persistence diagrams Luis Polanco Jose A. Perea 16 12 0 13 Oct 2019
Persistence B-Spline Grids: Stable Vector Representation of Persistence Diagrams Based on Data Fitting Zhetong Dong Hongwei Lin Chi Zhou 16 4 0 17 Sep 2019
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 32 51 0 09 Aug 2019
Progressive Wasserstein Barycenters of Persistence Diagrams Jules Vidal J. Budin Julien Tierny 13 39 0 10 Jul 2019
PI-Net: A Deep Learning Approach to Extract Topological Persistence Images Anirudh Som Hongjun Choi Karthikeyan N. Ramamurthy M. Buman Pavan Turaga 3DH 29 29 0 05 Jun 2019
Graph Filtration Learning Christoph Hofer Florian Graf Bastian Alexander Rieck Marc Niethammer Roland Kwitt 22 96 0 27 May 2019
Towards a topological-geometrical theory of group equivariant non-expansive operators for data analysis and machine learning M. Bergomi Patrizio Frosini D. Giorgi Nicola Quercioli AI4CE 27 48 0 31 Dec 2018
Persistence Bag-of-Words for Topological Data Analysis Bartosz Zieliñski Michal Lipinski M. Juda Matthias Zeppelzauer Paweł Dłotko 22 22 0 21 Dec 2018
The persistence landscape and some of its properties Peter Bubenik 25 62 0 11 Oct 2018
A Kernel for Multi-Parameter Persistent Homology René Corbet Ulderico Fugacci Michael Kerber C. Landi Bei Wang 13 49 0 26 Sep 2018
A Topological Regularizer for Classifiers via Persistent Homology Chao Chen Xiuyan Ni Qinxun Bai Yusu Wang 11 112 0 27 Jun 2018
On the Metric Distortion of Embedding Persistence Diagrams into separable Hilbert spaces Mathieu Carrière Ulrich Bauer 19 28 0 19 Jun 2018
Large Scale computation of Means and Clusters for Persistence Diagrams using Optimal Transport Théo Lacombe Marco Cuturi S. Oudot 19 70 0 22 May 2018
Persistence Fisher Kernel: A Riemannian Manifold Kernel for Persistence Diagrams Tam Le M. Yamada 30 78 0 10 Feb 2018
Supervised Learning with Indefinite Topological Kernels T. Padellini P. Brutti 35 6 0 20 Sep 2017
Kernel method for persistence diagrams via kernel embedding and weight factor G. Kusano Kenji Fukumizu Y. Hiraoka 17 83 0 12 Jun 2017
Sliced Wasserstein Kernel for Persistence Diagrams Mathieu Carrière Marco Cuturi S. Oudot 29 238 0 11 Jun 2017
Sparse-TDA: Sparse Realization of Topological Data Analysis for Multi-Way Classification W. Guo Krithika Manohar Steven L. Brunton A. Banerjee 35 32 0 12 Jan 2017
Minimax Rate-Optimal Estimation of Divergences between Discrete Distributions Rushil Anirudh Jiantao Jiao Pavan Turaga 19 42 0 30 May 2016
A persistence landscapes toolbox for topological statistics Peter Bubenik Paweł Dłotko 68 158 0 31 Dec 2014
Statistical topological data analysis using persistence landscapes Peter Bubenik 114 846 0 27 Jul 2012