Persistent homology detects curvature

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Persistent homology detects curvature

30 May 2019

Benjamin Whittle

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Papers citing "Persistent homology detects curvature"

19 / 19 papers shown

Title
A Relative Homology Theory of Representation in Neural Networks Kosio Beshkov 190 0 0 17 Feb 2025
Local Topology Measures of Contextual Language Model Latent Spaces With Applications to Dialogue Term Extraction Benjamin Matthias Ruppik Michael Heck Carel van Niekerk Renato Vukovic Hsien-chin Lin Shutong Feng Marcus Zibrowius Milica Gašić 87 3 0 07 Aug 2024
Mapping the Multiverse of Latent Representations Jeremy Wayland Corinna Coupette Bastian Rieck 96 8 0 02 Feb 2024
Metric Space Magnitude for Evaluating the Diversity of Latent Representations K. Limbeck R. Andreeva Rik Sarkar Bastian Rieck 180 4 0 27 Nov 2023
Visualizing Topological Importance: A Class-Driven Approach Yu Qin Brittany Terese Fasy C. Wenk Brian Summa FAtt 43 0 0 22 Sep 2023
An Intrinsic Approach to Scalar-Curvature Estimation for Point Clouds Abigail Hickok Andrew J. Blumberg 3DPC 43 2 0 04 Aug 2023
Topologically Regularized Multiple Instance Learning to Harness Data Scarcity Salome Kazeminia Carsten Marr Bastian Rieck 56 0 0 26 Jul 2023
Machine learning and Topological data analysis identify unique features of human papillae in 3D scans R. Andreeva A. Sarkar Rik Sarkar 21 6 0 12 Jul 2023
Euler Characteristic Tools For Topological Data Analysis Olympio Hacquard Vadim Lebovici 92 12 0 24 Mar 2023
Statistical learning on measures: an application to persistence diagrams Olympio Hacquard Gilles Blanchard Clément Levrard 134 3 0 15 Mar 2023
On the Expressivity of Persistent Homology in Graph Learning Bastian Rieck Bastian Rieck 86 16 0 20 Feb 2023
Topological Singularity Detection at Multiple Scales Julius von Rohrscheidt Bastian Rieck 99 10 0 30 Sep 2022
On the effectiveness of persistent homology Renata Turkevs Guido Montúfar N. Otter 121 31 0 21 Jun 2022
Detection of Small Holes by the Scale-Invariant Robust Density-Aware Distance (RDAD) Filtration Chunyin Siu G. Samorodnitsky Chao Yu An-Yang Yao 35 2 0 16 Apr 2022
Persformer: A Transformer Architecture for Topological Machine Learning Raphael Reinauer Matteo Caorsi Nicolas Berkouk 85 15 0 30 Dec 2021
Topologically penalized regression on manifolds Olympio Hacquard Krishnakumar Balasubramanian Gilles Blanchard Clément Levrard W. Polonik 97 4 0 26 Oct 2021
Topology Applied to Machine Learning: From Global to Local Henry Adams Michael Moy AI4CE 38 21 0 10 Mar 2021
From Geometry to Topology: Inverse Theorems for Distributed Persistence Elchanan Solomon Alexander Wagner Paul Bendich 50 23 0 28 Jan 2021
Can neural networks learn persistent homology features? Guido Montúfar N. Otter Yuguang Wang 58 12 0 30 Nov 2020