Robust Topological Inference: Distance To a Measure and Kernel Distance

22 December 2014

Papers citing "Robust Topological Inference: Distance To a Measure and Kernel Distance"

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Title
Inductive Global and Local Manifold Approximation and Projection Jungeum Kim Xiao Wang 30 0 0 12 Jun 2024
Diffeomorphic interpolation for efficient persistence-based topological optimization Mathieu Carrière Marc Theveneau Théo Lacombe 16 1 0 29 May 2024
Topological Detection of Phenomenological Bifurcations with Unreliable Kernel Densities Sunia Tanweer Firas A. Khasawneh 13 2 0 29 Jan 2024
Topological data analysis of human vowels: Persistent homologies across representation spaces Guillem Bonafos Jean-Marc Freyermuth Pierre Pudlo Samuel Tronçon Arnaud Rey 20 1 0 10 Oct 2023
Learning from Topology: Cosmological Parameter Estimation from the Large-scale Structure Jacky H. T. Yip Adam Rouhiainen G. Shiu 36 2 0 04 Aug 2023
Classes are not Clusters: Improving Label-based Evaluation of Dimensionality Reduction Hyeon Jeon Yun-Hsin Kuo Michaël Aupetit Kwan-Liu Ma Jinwook Seo 15 5 0 01 Aug 2023
TopP&R: Robust Support Estimation Approach for Evaluating Fidelity and Diversity in Generative Models Pum Jun Kim Yoojin Jang Jisu Kim Jaejun Yoo EGVM 10 8 0 13 Jun 2023
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures David Loiseaux Luis Scoccola Mathieu Carrière M. B. Botnan S. Oudot 19 19 0 06 Jun 2023
Differentially Private Topological Data Analysis Taegyu Kang Sehwan Kim Jinwon Sohn Jordan Awan 11 3 0 05 May 2023
Testing Homological Equivalence Using Betti Numbers Satish Kumar S. Dhar 15 0 0 25 Nov 2022
On the Universality of Random Persistence Diagrams O. Bobrowski Primoz Skraba 20 5 0 08 Jul 2022
On the effectiveness of persistent homology Renata Turkevs Guido Montúfar N. Otter 14 18 0 21 Jun 2022
Improved Modeling of Persistence Diagram Sarit Agami 14 0 0 22 May 2022
Uniform Manifold Approximation with Two-phase Optimization Hyeon Jeon Hyung-Kwon Ko S. Lee Jaemin Jo Jinwook Seo 17 12 0 01 May 2022
Detection of Small Holes by the Scale-Invariant Robust Density-Aware Distance (RDAD) Filtration Chunyin Siu G. Samorodnitsky C. Yu An-Yang Yao 17 2 0 16 Apr 2022
Bayesian estimation of topological features of persistence diagrams Asael Fabian Martínez 14 0 0 03 Apr 2022
Topological Representations of Local Explanations Peter Xenopoulos G. Chan Harish Doraiswamy L. G. Nonato Brian Barr Claudio Silva FAtt 16 4 0 06 Jan 2022
Regularization of Mixture Models for Robust Principal Graph Learning T. Bonnaire A. Decelle N. Aghanim 17 2 0 16 Jun 2021
A Random Persistence Diagram Generator Theodore Papamarkou Farzana Nasrin A. Lawson Na Gong Orlando Rios Vasileios Maroulas 12 9 0 15 Apr 2021
Learning with Density Matrices and Random Features Fabio A. González Joseph A. Gallego-Mejia Santiago Toledo-Cortés Vladimir Vargas-Calderón 11 29 0 08 Feb 2021
Topological Deep Learning Ephy R. Love Benjamin Filippenko Vasileios Maroulas Gunnar Carlsson 27 10 0 14 Jan 2021
Cycle Registration in Persistent Homology with Applications in Topological Bootstrap Yohai Reani O. Bobrowski 98 20 0 03 Jan 2021
Using Persistent Homology Topological Features to Characterize Medical Images: Case Studies on Lung and Brain Cancers Chul Moon Qiwei Li Guanghua Xiao 13 6 0 07 Dec 2020
An Algorithm for Learning Smaller Representations of Models With Scarce Data Adrian de Wynter 25 2 0 15 Oct 2020
Optimal Coreset for Gaussian Kernel Density Estimation W. Tai 11 9 0 15 Jul 2020
Deconvolution with unknown noise distribution is possible for multivariate signals Elisabeth Gassiat Sylvain Le Corff Luc Lehéricy 9 11 0 25 Jun 2020
Robust Persistence Diagrams using Reproducing Kernels Siddharth Vishwanath Kenji Fukumizu S. Kuriki Bharath K. Sriperumbudur 13 7 0 17 Jun 2020
On approximation theorems for the Euler characteristic with applications to the bootstrap Johannes T. N. Krebs Benjamin Roycraft W. Polonik 13 9 0 15 May 2020
Topology Distance: A Topology-Based Approach For Evaluating Generative Adversarial Networks Danijela Horak Simiao Yu G. Salimi-Khorshidi EGVM 13 16 0 27 Feb 2020
PLLay: Efficient Topological Layer based on Persistence Landscapes Kwangho Kim Jisu Kim Manzil Zaheer Joon Sik Kim Frédéric Chazal Larry A. Wasserman 13 13 0 07 Feb 2020
Domain Adaptive Bootstrap Aggregating Meimei Liu David B. Dunson TTA 14 0 0 12 Jan 2020
Persistent Homology of Graph Embeddings Vinesh Solanki Patrick Rubin-Delanchy Ian Gallagher 14 7 0 21 Dec 2019
Probabilistic Convergence and Stability of Random Mapper Graphs Adam Brown O. Bobrowski E. Munch Bei Wang 60 29 0 08 Sep 2019
Statistical Analysis of Nearest Neighbor Methods for Anomaly Detection Xiaoyi Gu L. Akoglu Alessandro Rinaldo 11 82 0 08 Jul 2019
Topological Autoencoders Michael Moor Max Horn Bastian Alexander Rieck Karsten M. Borgwardt 8 123 0 03 Jun 2019
Learning to Prescribe Interventions for Tuberculosis Patients Using Digital Adherence Data J. Killian Bryan Wilder Amit Sharma Daksha Shah Vinod Choudhary B. Dilkina Milind Tambe 14 56 0 05 Feb 2019
Uniform Convergence Rate of the Kernel Density Estimator Adaptive to Intrinsic Volume Dimension Jisu Kim Jaehyeok Shin Alessandro Rinaldo Larry A. Wasserman 17 32 0 13 Oct 2018
Modelling Persistence Diagrams with Planar Point Processes, and Revealing Topology with Bagplots R. Adler Sarit Agami 6 13 0 16 Aug 2018
Statistical Inference with Local Optima Yen-Chi Chen 8 9 0 12 Jul 2018
An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists Frédéric Chazal Bertrand Michel 41 477 0 11 Oct 2017
Supervised Learning with Indefinite Topological Kernels T. Padellini P. Brutti 21 6 0 20 Sep 2017
Accelerated Hierarchical Density Clustering Leland McInnes John Healy 6 387 0 20 May 2017
Generalized Cluster Trees and Singular Measures Yen-Chi Chen 31 17 0 08 Nov 2016
The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications C. Biscio Jesper Møller 73 60 0 02 Nov 2016
Modal-set estimation with an application to clustering Heinrich Jiang Samory Kpotufe 19 25 0 13 Jun 2016
Statistical Inference for Cluster Trees Jisu Kim Yen-Chi Chen Sivaraman Balakrishnan Alessandro Rinaldo Larry A. Wasserman 27 32 0 20 May 2016
Statistical Analysis of Persistence Intensity Functions Yen-Chi Chen Daren Wang Alessandro Rinaldo Larry A. Wasserman 29 52 0 08 Oct 2015
Statistical Inference using the Morse-Smale Complex Yen-Chi Chen Christopher R. Genovese Larry A. Wasserman 27 30 0 29 Jun 2015
Rates of convergence for robust geometric inference Frédéric Chazal P. Massart Bertrand Michel 19 34 0 28 May 2015
Statistical topological data analysis using persistence landscapes Peter Bubenik 94 842 0 27 Jul 2012