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On the Generalization of Equivariance and Convolution in Neural Networks
  to the Action of Compact Groups
v1v2v3 (latest)

On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups

11 February 2018
Risi Kondor
Shubhendu Trivedi
    MLT
ArXiv (abs)PDFHTML

Papers citing "On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups"

50 / 326 papers shown
Title
On the Benefits of Invariance in Neural Networks
On the Benefits of Invariance in Neural Networks
Clare Lyle
Mark van der Wilk
Marta Z. Kwiatkowska
Y. Gal
Benjamin Bloem-Reddy
OODBDL
84
96
0
01 May 2020
3D Solid Spherical Bispectrum CNNs for Biomedical Texture Analysis
3D Solid Spherical Bispectrum CNNs for Biomedical Texture Analysis
Valentin Oreiller
Vincent Andrearczyk
Julien Fageot
John O. Prior
Adrien Depeursinge
22
1
0
28 Apr 2020
A Data and Compute Efficient Design for Limited-Resources Deep Learning
A Data and Compute Efficient Design for Limited-Resources Deep Learning
Mirgahney Mohamed
Gabriele Cesa
Taco S. Cohen
Max Welling
MedIm
93
18
0
21 Apr 2020
Theoretical Aspects of Group Equivariant Neural Networks
Theoretical Aspects of Group Equivariant Neural Networks
Carlos Esteves
66
41
0
10 Apr 2020
The general theory of permutation equivarant neural networks and higher
  order graph variational encoders
The general theory of permutation equivarant neural networks and higher order graph variational encoders
Erik H. Thiede
Truong-Son Hy
Risi Kondor
63
35
0
08 Apr 2020
ManifoldNorm: Extending normalizations on Riemannian Manifolds
ManifoldNorm: Extending normalizations on Riemannian Manifolds
Rudrasis Chakraborty
25
11
0
30 Mar 2020
Local Rotation Invariance in 3D CNNs
Local Rotation Invariance in 3D CNNs
Vincent Andrearczyk
Julien Fageot
Valentin Oreiller
X. Montet
Adrien Depeursinge
79
23
0
19 Mar 2020
On Translation Invariance in CNNs: Convolutional Layers can Exploit
  Absolute Spatial Location
On Translation Invariance in CNNs: Convolutional Layers can Exploit Absolute Spatial Location
O. Kayhan
Jan van Gemert
336
237
0
16 Mar 2020
MVC-Net: A Convolutional Neural Network Architecture for Manifold-Valued
  Images With Applications
MVC-Net: A Convolutional Neural Network Architecture for Manifold-Valued Images With Applications
Jose J. Bouza
Chun-Hao Yang
David E Vaillancourt
B. Vemuri
48
4
0
02 Mar 2020
Do CNNs Encode Data Augmentations?
Do CNNs Encode Data Augmentations?
Eddie Q. Yan
Yanping Huang
OOD
55
5
0
29 Feb 2020
Can we have it all? On the Trade-off between Spatial and Adversarial
  Robustness of Neural Networks
Can we have it all? On the Trade-off between Spatial and Adversarial Robustness of Neural Networks
Sandesh Kamath
Amit Deshpande
Subrahmanyam Kambhampati Venkata
V. Balasubramanian
88
12
0
26 Feb 2020
Generalizing Convolutional Neural Networks for Equivariance to Lie
  Groups on Arbitrary Continuous Data
Generalizing Convolutional Neural Networks for Equivariance to Lie Groups on Arbitrary Continuous Data
Marc Finzi
Samuel Stanton
Pavel Izmailov
A. Wilson
136
324
0
25 Feb 2020
Set2Graph: Learning Graphs From Sets
Set2Graph: Learning Graphs From Sets
Hadar Serviansky
Nimrod Segol
Jonathan Shlomi
Kyle Cranmer
Eilam Gross
Haggai Maron
Y. Lipman
PINNGNN
138
35
0
20 Feb 2020
Roto-Translation Equivariant Convolutional Networks: Application to
  Histopathology Image Analysis
Roto-Translation Equivariant Convolutional Networks: Application to Histopathology Image Analysis
Maxime W. Lafarge
Erik J. Bekkers
J. Pluim
R. Duits
M. Veta
MedIm
152
75
0
20 Feb 2020
On Learning Sets of Symmetric Elements
On Learning Sets of Symmetric Elements
Haggai Maron
Or Litany
Gal Chechik
Ethan Fetaya
83
137
0
20 Feb 2020
Incorporating Symmetry into Deep Dynamics Models for Improved
  Generalization
Incorporating Symmetry into Deep Dynamics Models for Improved Generalization
Rui Wang
Robin Walters
Rose Yu
AI4CE
145
177
0
08 Feb 2020
Universal Equivariant Multilayer Perceptrons
Universal Equivariant Multilayer Perceptrons
Siamak Ravanbakhsh
162
51
0
07 Feb 2020
Attentive Group Equivariant Convolutional Networks
Attentive Group Equivariant Convolutional Networks
David W. Romero
Erik J. Bekkers
Jakub M. Tomczak
Mark Hoogendoorn
109
91
0
07 Feb 2020
PDE-based Group Equivariant Convolutional Neural Networks
PDE-based Group Equivariant Convolutional Neural Networks
B. Smets
J. Portegies
Erik J. Bekkers
R. Duits
AI4CE
102
54
0
24 Jan 2020
Quaternion Equivariant Capsule Networks for 3D Point Clouds
Quaternion Equivariant Capsule Networks for 3D Point Clouds
Yongheng Zhao
Tolga Birdal
J. E. Lenssen
Emanuele Menegatti
Leonidas Guibas
Federico Tombari
3DPC
144
89
0
27 Dec 2019
General $E(2)$-Equivariant Steerable CNNs
General E(2)E(2)E(2)-Equivariant Steerable CNNs
Maurice Weiler
Gabriele Cesa
126
526
0
19 Nov 2019
Affine Self Convolution
Affine Self Convolution
Nichita Diaconu
Daniel E. Worrall
35
3
0
18 Nov 2019
Physics-guided Design and Learning of Neural Networks for Predicting
  Drag Force on Particle Suspensions in Moving Fluids
Physics-guided Design and Learning of Neural Networks for Predicting Drag Force on Particle Suspensions in Moving Fluids
Nikhil Muralidhar
Jie Bu
Z. Cao
Longting He
Naren Ramakrishnan
D. Tafti
Anuj Karpatne
DiffMPINNAI4CE
37
14
0
06 Nov 2019
Deep Learning for 2D and 3D Rotatable Data: An Overview of Methods
Deep Learning for 2D and 3D Rotatable Data: An Overview of Methods
Luca Della Libera
Vladimir Golkov
Yue Zhu
Arman Mielke
Daniel Cremers
3DH3DPC
95
4
0
31 Oct 2019
Convolutional Conditional Neural Processes
Convolutional Conditional Neural Processes
Jonathan Gordon
W. Bruinsma
Andrew Y. K. Foong
James Requeima
Yann Dubois
Richard Turner
BDL
90
168
0
29 Oct 2019
SurReal: Complex-Valued Learning as Principled Transformations on a
  Scaling and Rotation Manifold
SurReal: Complex-Valued Learning as Principled Transformations on a Scaling and Rotation Manifold
Rudrasis Chakraborty
Yifei Xing
Stella X. Yu
59
8
0
18 Oct 2019
Scale-Equivariant Steerable Networks
Scale-Equivariant Steerable Networks
Li Xiao
Michal Szmaja
A. Smeulders
127
149
0
14 Oct 2019
A Simple Proof of the Universality of Invariant/Equivariant Graph Neural
  Networks
A Simple Proof of the Universality of Invariant/Equivariant Graph Neural Networks
Takanori Maehara
Hoang NT
133
29
0
09 Oct 2019
Dilated Convolutional Neural Networks for Sequential Manifold-valued
  Data
Dilated Convolutional Neural Networks for Sequential Manifold-valued Data
Xingjian Zhen
Rudrasis Chakraborty
Nicholas M. Vogt
B. Bendlin
Vikas Singh
MedIm
62
36
0
05 Oct 2019
On the Equivalence between Positional Node Embeddings and Structural
  Graph Representations
On the Equivalence between Positional Node Embeddings and Structural Graph Representations
Balasubramaniam Srinivasan
Bruno Ribeiro
85
27
0
01 Oct 2019
B-Spline CNNs on Lie Groups
B-Spline CNNs on Lie Groups
Erik J. Bekkers
AI4CE
99
131
0
26 Sep 2019
Horizontal Flows and Manifold Stochastics in Geometric Deep Learning
Horizontal Flows and Manifold Stochastics in Geometric Deep Learning
Stefan Sommer
A. Bronstein
72
11
0
13 Sep 2019
Deep Learning for Automated Classification and Characterization of
  Amorphous Materials
Deep Learning for Automated Classification and Characterization of Amorphous Materials
K. Swanson
Shubhendu Trivedi
Joshua Lequieu
Kyle Swanson
Risi Kondor
49
38
0
10 Sep 2019
A Group-Theoretic Framework for Data Augmentation
A Group-Theoretic Framework for Data Augmentation
Shuxiao Chen
Edgar Dobriban
Jane Lee
FedML
80
38
0
25 Jul 2019
Effective Rotation-invariant Point CNN with Spherical Harmonics kernels
Effective Rotation-invariant Point CNN with Spherical Harmonics kernels
A. Poulenard
Marie-Julie Rakotosaona
Yann Ponty
M. Ovsjanikov
3DPC
93
104
0
27 Jun 2019
SurReal: Fréchet Mean and Distance Transform for Complex-Valued Deep
  Learning
SurReal: Fréchet Mean and Distance Transform for Complex-Valued Deep Learning
Rudrasis Chakraborty
Jiayun Wang
Stella X. Yu
40
15
0
24 Jun 2019
Cormorant: Covariant Molecular Neural Networks
Cormorant: Covariant Molecular Neural Networks
Brandon M. Anderson
Truong-Son Hy
Risi Kondor
139
426
0
06 Jun 2019
Unsupervised Co-Learning on $\mathcal{G}$-Manifolds Across Irreducible
  Representations
Unsupervised Co-Learning on G\mathcal{G}G-Manifolds Across Irreducible Representations
Yifeng Fan
Tingran Gao
Zhizhen Zhao
39
5
0
06 Jun 2019
Covariance in Physics and Convolutional Neural Networks
Covariance in Physics and Convolutional Neural Networks
Miranda C. N. Cheng
V. Anagiannis
Maurice Weiler
P. D. Haan
Taco S. Cohen
Max Welling
111
18
0
06 Jun 2019
Provably scale-covariant continuous hierarchical networks based on
  scale-normalized differential expressions coupled in cascade
Provably scale-covariant continuous hierarchical networks based on scale-normalized differential expressions coupled in cascade
T. Lindeberg
80
19
0
29 May 2019
Deep Scale-spaces: Equivariance Over Scale
Deep Scale-spaces: Equivariance Over Scale
Daniel E. Worrall
Max Welling
BDL
76
167
0
28 May 2019
Graph Neural Networks Exponentially Lose Expressive Power for Node
  Classification
Graph Neural Networks Exponentially Lose Expressive Power for Node Classification
Kenta Oono
Taiji Suzuki
GNN
100
29
0
27 May 2019
Geometric Wavelet Scattering Networks on Compact Riemannian Manifolds
Geometric Wavelet Scattering Networks on Compact Riemannian Manifolds
Michael Perlmutter
Feng Gao
Guy Wolf
M. Hirn
70
14
0
24 May 2019
Universal Invariant and Equivariant Graph Neural Networks
Universal Invariant and Equivariant Graph Neural Networks
Nicolas Keriven
Gabriel Peyré
210
294
0
13 May 2019
Learning to Convolve: A Generalized Weight-Tying Approach
Learning to Convolve: A Generalized Weight-Tying Approach
Nichita Diaconu
Daniel E. Worrall
MLT
66
20
0
12 May 2019
Temporal-Clustering Invariance in Irregular Healthcare Time Series
Temporal-Clustering Invariance in Irregular Healthcare Time Series
M. T. Bahadori
Zachary Chase Lipton
AI4TS
74
30
0
27 Apr 2019
DDNet: Cartesian-polar Dual-domain Network for the Joint Optic Disc and
  Cup Segmentation
DDNet: Cartesian-polar Dual-domain Network for the Joint Optic Disc and Cup Segmentation
Q. Liu
Xiaopeng Hong
Wei Ke
Zailiang Chen
Beiji Zou
43
5
0
18 Apr 2019
DeepSphere: towards an equivariant graph-based spherical CNN
DeepSphere: towards an equivariant graph-based spherical CNN
M. Defferrard
Nathanael Perraudin
T. Kacprzak
R. Sgier
GNN
86
24
0
08 Apr 2019
Equivariant Multi-View Networks
Equivariant Multi-View Networks
Carlos Esteves
Yinshuang Xu
Christine Allen-Blanchette
Kostas Daniilidis
3DPC
77
98
0
01 Apr 2019
Discrete Rotation Equivariance for Point Cloud Recognition
Discrete Rotation Equivariance for Point Cloud Recognition
Jiaxin Li
Yingcai Bi
Gim Hee Lee
3DPC
89
24
0
31 Mar 2019
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