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On Characterizing the Capacity of Neural Networks using Algebraic
  Topology

On Characterizing the Capacity of Neural Networks using Algebraic Topology

13 February 2018
William H. Guss
Ruslan Salakhutdinov
ArXivPDFHTML

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

12 / 12 papers shown
Title
A Relative Homology Theory of Representation in Neural Networks
A Relative Homology Theory of Representation in Neural Networks
Kosio Beshkov
96
0
0
17 Feb 2025
Deep neural networks architectures from the perspective of manifold
  learning
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
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
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
40
12
0
01 Dec 2022
Zeroth-Order Topological Insights into Iterative Magnitude Pruning
Zeroth-Order Topological Insights into Iterative Magnitude Pruning
Aishwarya H. Balwani
J. Krzyston
24
2
0
14 Jun 2022
Lower and Upper Bounds for Numbers of Linear Regions of Graph
  Convolutional Networks
Lower and Upper Bounds for Numbers of Linear Regions of Graph Convolutional Networks
Hao Chen
Yu Wang
Huan Xiong
GNN
14
6
0
01 Jun 2022
Topology and geometry of data manifold in deep learning
Topology and geometry of data manifold in deep learning
German Magai
A. Ayzenberg
AAML
19
11
0
19 Apr 2022
Activation Landscapes as a Topological Summary of Neural Network
  Performance
Activation Landscapes as a Topological Summary of Neural Network Performance
Matthew Wheeler
Jose J. Bouza
Peter Bubenik
28
19
0
19 Oct 2021
Topologically Densified Distributions
Topologically Densified Distributions
Christoph Hofer
Florian Graf
Marc Niethammer
Roland Kwitt
24
15
0
12 Feb 2020
Topological Data Analysis of Decision Boundaries with Application to
  Model Selection
Topological Data Analysis of Decision Boundaries with Application to Model Selection
K. Ramamurthy
Kush R. Varshney
Krishnan Mody
9
40
0
25 May 2018
Neural Architecture Search with Reinforcement Learning
Neural Architecture Search with Reinforcement Learning
Barret Zoph
Quoc V. Le
271
5,326
0
05 Nov 2016
Google's Neural Machine Translation System: Bridging the Gap between
  Human and Machine Translation
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
6,743
0
26 Sep 2016
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