A Topology Layer for Machine Learning

v1v2 (latest)

A Topology Layer for Machine Learning

29 May 2019

Rickard Brüel-Gabrielsson

Bradley J. Nelson

Anjan Dwaraknath

Leonidas Guibas

Gunnar Carlsson

ArXiv (abs)PDF HTML Github (400★)

Papers citing "A Topology Layer for Machine Learning"

19 / 69 papers shown

Title
Component Tree Loss Function: Definition and Optimization B. Perret J. Cousty 13 0 0 20 Jan 2021
Optimisation of Spectral Wavelets for Persistence-based Graph Classification Ka Man Yim Jacob Leygonie 38 5 0 10 Jan 2021
Cycle Registration in Persistent Homology with Applications in Topological Bootstrap Yohai Reani O. Bobrowski 145 25 0 03 Jan 2021
Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions Hans Riess J. Hansen Robert Ghrist 49 5 0 28 Nov 2020
Regularization of Persistent Homology Gradient Computation P. Corcoran Bailin Deng 40 5 0 11 Nov 2020
Topological Regularization via Persistence-Sensitive Optimization Arnur Nigmetov Aditi S. Krishnapriyan Nicole F. Sanderson Dmitriy Morozov AAML 42 6 0 10 Nov 2020
Simplicial Neural Networks Stefania Ebli M. Defferrard Gard Spreemann GNN 93 131 0 07 Oct 2020
A Topological Framework for Deep Learning Mustafa Hajij Kyle Istvan 30 6 0 31 Aug 2020
A persistent homology-based topological loss function for multi-class CNN segmentation of cardiac MRI Nicholas Byrne J. Clough Giovanni Montana A. King 50 27 0 21 Aug 2020
Deep Small Bowel Segmentation with Cylindrical Topological Constraints Seung Yeon Shin Sungwon Lee Daniel C. Elton J. Gulley Ronald M. Summers 57 24 0 16 Jul 2020
Fuzzy c-Means Clustering for Persistence Diagrams Thomas Davies Jack Aspinall Bryan Wilder Long Tran-Thanh 44 4 0 04 Jun 2020
giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration Guillaume Tauzin Umberto Lupo Lewis Tunstall Julián Burella Pérez Matteo Caorsi Wojciech Reise A. Medina-Mardones A. Dassatti K. Hess AI4CE 62 192 0 06 Apr 2020
PLLay: Efficient Topological Layer based on Persistence Landscapes Kwangho Kim Jisu Kim Manzil Zaheer Joon Sik Kim Frédéric Chazal Larry A. Wasserman 43 13 0 07 Feb 2020
Harnessing the power of Topological Data Analysis to detect change points in time series Umar Islambekov Monisha Yuvaraj Yulia R. Gel 42 19 0 28 Oct 2019
Path homologies of deep feedforward networks Samir Chowdhury Thomas Gebhart Steve Huntsman Matvey Yutin 44 23 0 16 Oct 2019
A Topological Loss Function for Deep-Learning based Image Segmentation using Persistent Homology J. Clough Nicholas Byrne Ilkay Oksuz Zhenzhong Lan Julia A. Schnabel A. King 77 221 0 04 Oct 2019
PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures Mathieu Carrière Frédéric Chazal Yuichi Ike Théo Lacombe Martin Royer Yuhei Umeda 65 183 0 20 Apr 2019
Topology-Aware Surface Reconstruction for Point Clouds Rickard Brüel-Gabrielsson Vignesh Ganapathi-Subramanian Primoz Skraba Leonidas Guibas 3DPC 72 46 0 29 Nov 2018
An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists Frédéric Chazal Bertrand Michel 107 598 0 11 Oct 2017