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A General Theory of Equivariant CNNs on Homogeneous Spaces

A General Theory of Equivariant CNNs on Homogeneous Spaces

5 November 2018
Taco S. Cohen
Mario Geiger
Maurice Weiler
    MLT
    AI4CE
ArXivPDFHTML

Papers citing "A General Theory of Equivariant CNNs on Homogeneous Spaces"

44 / 94 papers shown
Title
Self-Supervised Equivariant Learning for Oriented Keypoint Detection
Self-Supervised Equivariant Learning for Oriented Keypoint Detection
Jongmin Lee
Byung-soo Kim
Minsu Cho
3DPC
21
35
0
19 Apr 2022
Reflection and Rotation Symmetry Detection via Equivariant Learning
Reflection and Rotation Symmetry Detection via Equivariant Learning
Ahyun Seo
Byungjin Kim
Suha Kwak
Minsu Cho
18
15
0
31 Mar 2022
$\mathrm{SO}(2)$-Equivariant Reinforcement Learning
SO(2)\mathrm{SO}(2)SO(2)-Equivariant Reinforcement Learning
Dian Wang
Robin G. Walters
Robert W. Platt
28
78
0
08 Mar 2022
Rotationally Equivariant Super-Resolution of Velocity Fields in
  Two-Dimensional Fluids Using Convolutional Neural Networks
Rotationally Equivariant Super-Resolution of Velocity Fields in Two-Dimensional Fluids Using Convolutional Neural Networks
Y. Yasuda
R. Onishi
17
5
0
22 Feb 2022
Co-domain Symmetry for Complex-Valued Deep Learning
Co-domain Symmetry for Complex-Valued Deep Learning
Utkarsh Singhal
Yifei Xing
Stella X. Yu
25
12
0
02 Dec 2021
Quantised Transforming Auto-Encoders: Achieving Equivariance to
  Arbitrary Transformations in Deep Networks
Quantised Transforming Auto-Encoders: Achieving Equivariance to Arbitrary Transformations in Deep Networks
Jianbo Jiao
João F. Henriques
BDL
OOD
MQ
13
2
0
25 Nov 2021
Deformation Robust Roto-Scale-Translation Equivariant CNNs
Deformation Robust Roto-Scale-Translation Equivariant CNNs
Liyao (Mars) Gao
Guang Lin
Wei-wei Zhu
20
8
0
22 Nov 2021
Equivariant $Q$ Learning in Spatial Action Spaces
Equivariant QQQ Learning in Spatial Action Spaces
Dian Wang
Robin G. Walters
Xu Zhu
Robert W. Platt
25
72
0
28 Oct 2021
SE(3) Equivariant Graph Neural Networks with Complete Local Frames
SE(3) Equivariant Graph Neural Networks with Complete Local Frames
Weitao Du
He Zhang
Yuanqi Du
Qi Meng
Wei-Neng Chen
Bin Shao
Tie-Yan Liu
53
79
0
26 Oct 2021
Capacity of Group-invariant Linear Readouts from Equivariant
  Representations: How Many Objects can be Linearly Classified Under All
  Possible Views?
Capacity of Group-invariant Linear Readouts from Equivariant Representations: How Many Objects can be Linearly Classified Under All Possible Views?
M. Farrell
Blake Bordelon
Shubhendu Trivedi
C. Pehlevan
15
5
0
14 Oct 2021
Implicit Bias of Linear Equivariant Networks
Implicit Bias of Linear Equivariant Networks
Hannah Lawrence
Kristian Georgiev
A. Dienes
B. Kiani
AI4CE
32
14
0
12 Oct 2021
Top-N: Equivariant set and graph generation without exchangeability
Top-N: Equivariant set and graph generation without exchangeability
Clément Vignac
P. Frossard
BDL
63
34
0
05 Oct 2021
Automatic Symmetry Discovery with Lie Algebra Convolutional Network
Automatic Symmetry Discovery with Lie Algebra Convolutional Network
Nima Dehmamy
Robin G. Walters
Yanchen Liu
Dashun Wang
Rose Yu
AI4CE
78
81
0
15 Sep 2021
Circular-Symmetric Correlation Layer based on FFT
Circular-Symmetric Correlation Layer based on FFT
Bahar Azari
Deniz Erdogmus
34
1
0
26 Jul 2021
Particle Convolution for High Energy Physics
Particle Convolution for High Energy Physics
C. Shimmin
17
15
0
05 Jul 2021
Steerable Partial Differential Operators for Equivariant Neural Networks
Steerable Partial Differential Operators for Equivariant Neural Networks
Erik Jenner
Maurice Weiler
15
27
0
18 Jun 2021
Equivariant Networks for Pixelized Spheres
Equivariant Networks for Pixelized Spheres
Mehran Shakerinava
Siamak Ravanbakhsh
3DPC
23
19
0
12 Jun 2021
VolterraNet: A higher order convolutional network with group
  equivariance for homogeneous manifolds
VolterraNet: A higher order convolutional network with group equivariance for homogeneous manifolds
Monami Banerjee
Rudrasis Chakraborty
Jose J. Bouza
B. Vemuri
28
11
0
05 Jun 2021
DISCO: accurate Discrete Scale Convolutions
DISCO: accurate Discrete Scale Convolutions
Ivan Sosnovik
A. Moskalev
A. Smeulders
20
31
0
04 Jun 2021
GemNet: Universal Directional Graph Neural Networks for Molecules
GemNet: Universal Directional Graph Neural Networks for Molecules
Johannes Klicpera
Florian Becker
Stephan Günnemann
AI4CE
21
433
0
02 Jun 2021
A Practical Method for Constructing Equivariant Multilayer Perceptrons
  for Arbitrary Matrix Groups
A Practical Method for Constructing Equivariant Multilayer Perceptrons for Arbitrary Matrix Groups
Marc Finzi
Max Welling
A. Wilson
76
185
0
19 Apr 2021
Autobahn: Automorphism-based Graph Neural Nets
Autobahn: Automorphism-based Graph Neural Nets
Erik H. Thiede
Wenda Zhou
Risi Kondor
GNN
AI4CE
23
48
0
02 Mar 2021
Equivariant Learning of Stochastic Fields: Gaussian Processes and
  Steerable Conditional Neural Processes
Equivariant Learning of Stochastic Fields: Gaussian Processes and Steerable Conditional Neural Processes
P. Holderrieth
M. Hutchinson
Yee Whye Teh
BDL
28
30
0
25 Nov 2020
Trajectory Prediction using Equivariant Continuous Convolution
Trajectory Prediction using Equivariant Continuous Convolution
Robin G. Walters
Jinxi Li
Rose Yu
23
43
0
21 Oct 2020
A Wigner-Eckart Theorem for Group Equivariant Convolution Kernels
A Wigner-Eckart Theorem for Group Equivariant Convolution Kernels
Leon Lang
Maurice Weiler
27
53
0
21 Oct 2020
Probabilistic Numeric Convolutional Neural Networks
Probabilistic Numeric Convolutional Neural Networks
Marc Finzi
Roberto Bondesan
Max Welling
BDL
AI4TS
26
13
0
21 Oct 2020
MDP Homomorphic Networks: Group Symmetries in Reinforcement Learning
MDP Homomorphic Networks: Group Symmetries in Reinforcement Learning
Elise van der Pol
Daniel E. Worrall
H. V. Hoof
F. Oliehoek
Max Welling
BDL
AI4CE
13
155
0
30 Jun 2020
Learning Diverse and Discriminative Representations via the Principle of
  Maximal Coding Rate Reduction
Learning Diverse and Discriminative Representations via the Principle of Maximal Coding Rate Reduction
Yaodong Yu
Kwan Ho Ryan Chan
Chong You
Chaobing Song
Yi-An Ma
SSL
19
189
0
15 Jun 2020
Lorentz Group Equivariant Neural Network for Particle Physics
Lorentz Group Equivariant Neural Network for Particle Physics
A. Bogatskiy
Brandon M. Anderson
Jan T. Offermann
M. Roussi
David W. Miller
Risi Kondor
AI4CE
15
136
0
08 Jun 2020
Theoretical Aspects of Group Equivariant Neural Networks
Theoretical Aspects of Group Equivariant Neural Networks
Carlos Esteves
19
41
0
10 Apr 2020
Local Rotation Invariance in 3D CNNs
Local Rotation Invariance in 3D CNNs
Vincent Andrearczyk
Julien Fageot
Valentin Oreiller
X. Montet
A. Depeursinge
32
23
0
19 Mar 2020
Gauge Equivariant Mesh CNNs: Anisotropic convolutions on geometric
  graphs
Gauge Equivariant Mesh CNNs: Anisotropic convolutions on geometric graphs
P. D. Haan
Maurice Weiler
Taco S. Cohen
Max Welling
100
127
0
11 Mar 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
19
74
0
20 Feb 2020
On Learning Sets of Symmetric Elements
On Learning Sets of Symmetric Elements
Haggai Maron
Or Litany
Gal Chechik
Ethan Fetaya
25
132
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 G. Walters
Rose Yu
AI4CE
43
167
0
08 Feb 2020
Universal Equivariant Multilayer Perceptrons
Universal Equivariant Multilayer Perceptrons
Siamak Ravanbakhsh
98
48
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
22
89
0
07 Feb 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 J. Guibas
Federico Tombari
3DPC
20
88
0
27 Dec 2019
Representation Learning on Unit Ball with 3D Roto-Translational
  Equivariance
Representation Learning on Unit Ball with 3D Roto-Translational Equivariance
Sameera Ramasinghe
Salman Khan
Nick Barnes
Stephen Gould
13
8
0
30 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
3DH
3DPC
17
4
0
31 Oct 2019
B-Spline CNNs on Lie Groups
B-Spline CNNs on Lie Groups
Erik J. Bekkers
AI4CE
18
129
0
26 Sep 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
40
18
0
06 Jun 2019
Gauge Equivariant Convolutional Networks and the Icosahedral CNN
Gauge Equivariant Convolutional Networks and the Icosahedral CNN
Taco S. Cohen
Maurice Weiler
Berkay Kicanaoglu
Max Welling
38
402
0
11 Feb 2019
Geometric deep learning: going beyond Euclidean data
Geometric deep learning: going beyond Euclidean data
M. Bronstein
Joan Bruna
Yann LeCun
Arthur Szlam
P. Vandergheynst
GNN
250
3,236
0
24 Nov 2016
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