On Characterizing the Capacity of Neural Networks using Algebraic Topology

13 February 2018

Papers citing "On Characterizing the Capacity of Neural Networks using Algebraic Topology"

16 / 16 papers shown

Title
A Relative Homology Theory of Representation in Neural Networks Kosio Beshkov 99 0 0 17 Feb 2025
Deep neural networks architectures from the perspective of manifold learning German Magai AAML AI4CE 24 6 0 06 Jun 2023
Data Topology-Dependent Upper Bounds of Neural Network Widths Sangmin Lee Jong Chul Ye 26 0 0 25 May 2023
Experimental Observations of the Topology of Convolutional Neural Network Activations Emilie Purvine Davis Brown Brett Jefferson C. Joslyn Brenda Praggastis Archit Rathore Madelyn Shapiro Bei Wang Youjia Zhou AI4CE 45 12 0 01 Dec 2022
Topological data analysis on noisy quantum computers I. Akhalwaya Shashanka Ubaru K. Clarkson M. Squillante Vishnu Jejjala Yangfan He Kugendran Naidoo Vasileios Kalantzis L. Horesh 29 13 0 19 Sep 2022
Zeroth-Order Topological Insights into Iterative Magnitude Pruning Aishwarya H. Balwani J. Krzyston 32 2 0 14 Jun 2022
Lower and Upper Bounds for Numbers of Linear Regions of Graph Convolutional Networks Hao Chen Yu Wang Huan Xiong GNN 16 6 0 01 Jun 2022
Topology and geometry of data manifold in deep learning German Magai A. Ayzenberg AAML 21 11 0 19 Apr 2022
Activation Landscapes as a Topological Summary of Neural Network Performance Matthew Wheeler Jose J. Bouza Peter Bubenik 34 19 0 19 Oct 2021
Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs Théo Lacombe Yuichi Ike Mathieu Carrière Frédéric Chazal Marc Glisse Yuhei Umeda 29 20 0 07 May 2021
Topologically Densified Distributions Christoph Hofer Florian Graf Marc Niethammer Roland Kwitt 27 15 0 12 Feb 2020
An empirical study of the relation between network architecture and complexity Emir Konuk Kevin Smith 11 7 0 11 Nov 2019
Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology Bastian Alexander Rieck Matteo Togninalli Christian Bock Michael Moor Max Horn Thomas Gumbsch Karsten M. Borgwardt 25 111 0 23 Dec 2018
Topological Data Analysis of Decision Boundaries with Application to Model Selection K. Ramamurthy Kush R. Varshney Krishnan Mody 17 40 0 25 May 2018
Neural Architecture Search with Reinforcement Learning Barret Zoph Quoc V. Le 271 5,327 0 05 Nov 2016
Google's Neural Machine Translation System: Bridging the Gap between Human and Machine Translation Yonghui Wu M. Schuster Z. Chen Quoc V. Le Mohammad Norouzi ... Alex Rudnick Oriol Vinyals G. Corrado Macduff Hughes J. Dean AIMat 716 6,746 0 26 Sep 2016