Statistical topological data analysis using persistence landscapes

27 July 2012

Papers citing "Statistical topological data analysis using persistence landscapes"

50 / 58 papers shown

Title
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 Jwo-Yuh Wu L. Huang Wen-Hsuan Li Chun-Hung Liu 78 0 0 20 Jan 2025
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 Soham Mukherjee Shreyas N. Samaga Cheng Xin Steve Oudot Tamal K. Dey 45 6 0 11 Jun 2024
Tensor-view Topological Graph Neural Network Tao Wen Elynn Chen Yuzhou Chen 34 9 0 22 Jan 2024
Explaining the Power of Topological Data Analysis in Graph Machine Learning Funmilola Mary Taiwo Umar Islambekov Cüneyt Gürcan Akçora AI4CE 36 3 0 08 Jan 2024
Improving Self-supervised Molecular Representation Learning using Persistent Homology Yuankai Luo Lei Shi Veronika Thost SSL 34 8 0 29 Nov 2023
Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams) Mathieu Pont Julien Tierny 24 3 0 05 Jul 2023
Topology-Aware Focal Loss for 3D Image Segmentation Andac Demir Elie Massaad B. Kiziltan 21 8 0 24 Apr 2023
Topological Point Cloud Clustering Vincent P. Grande Michael T. Schaub 3DPC 21 7 0 29 Mar 2023
Euler Characteristic Tools For Topological Data Analysis Olympio Hacquard Vadim Lebovici 28 9 0 24 Mar 2023
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 Aina Ferrà Carles Casacuberta O. Pujol AI4TS 50 4 0 06 Feb 2023
Testing Homological Equivalence Using Betti Numbers Satish Kumar S. Dhar 24 0 0 25 Nov 2022
$k$ -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 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) 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 Lander Ver Hoef Henry Adams E. King I. Ebert‐Uphoff 34 17 0 21 Jul 2022
Zeroth-Order Topological Insights into Iterative Magnitude Pruning Aishwarya H. Balwani J. Krzyston 24 2 0 14 Jun 2022
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 Yueqi Cao Anthea Monod 16 9 0 19 Apr 2022
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 Jiaqi Yang Xiaoling Hu Chao Chen Chialing Tsai 3DPC MedIm 20 3 0 07 Feb 2022
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 Raphael Reinauer Matteo Caorsi Nicolas Berkouk 24 15 0 30 Dec 2021
Nonparametric Topological Layers in Neural Networks Dongfang Zhao 13 0 0 27 Nov 2021
Activation Landscapes as a Topological Summary of Neural Network Performance Matthew Wheeler Jose J. Bouza Peter Bubenik 31 19 0 19 Oct 2021
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 Sebastian Zeng Florian Graf Christoph Hofer Roland Kwitt AI4TS 11 24 0 19 Jul 2021
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 Songzhu Zheng Yikai Zhang H. Wagner Mayank Goswami Chao Chen AAML 24 40 0 11 Jun 2021
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 Mustafa Hajij Ghaza Zamzmi X. Cai 35 5 0 25 Feb 2021
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 10 0 0 27 Nov 2020
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 Benjamin Roycraft Johannes T. N. Krebs W. Polonik 22 6 0 04 May 2020
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 Yu-Min Chung Chuan-Shen Hu Y. Lo Hau‐Tieng Wu 22 51 0 09 Aug 2019
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 Anirudh Som Hongjun Choi K. Ramamurthy M. Buman P. Turaga 3DH 26 29 0 05 Jun 2019
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 Bartosz Zieliñski Michal Lipinski M. Juda Matthias Zeppelzauer Paweł Dłotko 14 22 0 21 Dec 2018
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 Mathieu Carrière Ulrich Bauer 11 28 0 19 Jun 2018
Persistence Fisher Kernel: A Riemannian Manifold Kernel for Persistence Diagrams Tam Le M. Yamada 22 78 0 10 Feb 2018
Persistent homology machine learning for fingerprint classification Noah Giansiracusa Robert S. Giansiracusa Chul Moon 36 41 0 24 Nov 2017
Supervised Learning with Indefinite Topological Kernels T. Padellini P. Brutti 23 6 0 20 Sep 2017
Kernel method for persistence diagrams via kernel embedding and weight factor G. Kusano Kenji Fukumizu Y. Hiraoka 12 83 0 12 Jun 2017
Sliced Wasserstein Kernel for Persistence Diagrams Mathieu Carrière Marco Cuturi S. Oudot 29 238 0 11 Jun 2017