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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"

50 / 92 papers shown
Title
Lie Group Symmetry Discovery and Enforcement Using Vector Fields
Lie Group Symmetry Discovery and Enforcement Using Vector Fields
Ben Shaw
Sasidhar Kunapuli
A. Magner
Kevin R. Moon
25
0
0
13 May 2025
Data Augmentation and Regularization for Learning Group Equivariance
Oskar Nordenfors
Axel Flinth
52
0
0
10 Feb 2025
Revisiting Multi-Permutation Equivariance through the Lens of Irreducible Representations
Revisiting Multi-Permutation Equivariance through the Lens of Irreducible Representations
Yonatan Sverdlov
Ido Springer
Nadav Dym
32
2
0
09 Oct 2024
Symmetry-Based Structured Matrices for Efficient Approximately Equivariant Networks
Symmetry-Based Structured Matrices for Efficient Approximately Equivariant Networks
Ashwin Samudre
Mircea Petrache
Brian D. Nord
Shubhendu Trivedi
44
2
0
18 Sep 2024
Improving Equivariant Model Training via Constraint Relaxation
Improving Equivariant Model Training via Constraint Relaxation
Stefanos Pertigkiozoglou
Evangelos Chatzipantazis
Shubhendu Trivedi
Kostas Daniilidis
39
4
0
23 Aug 2024
EqNIO: Subequivariant Neural Inertial Odometry
EqNIO: Subequivariant Neural Inertial Odometry
Royina Karegoudra Jayanth
Yinshuang Xu
Ziyun Wang
Evangelos Chatzipantazis
Daniel Gehrig
Kostas Daniilidis
40
3
0
12 Aug 2024
Symmetries in Overparametrized Neural Networks: A Mean-Field View
Symmetries in Overparametrized Neural Networks: A Mean-Field View
Javier Maass Martínez
Joaquin Fontbona
FedML
MLT
38
2
0
30 May 2024
Transport of Algebraic Structure to Latent Embeddings
Transport of Algebraic Structure to Latent Embeddings
Samuel Pfrommer
Brendon G. Anderson
Somayeh Sojoudi
29
0
0
27 May 2024
E(n) Equivariant Topological Neural Networks
E(n) Equivariant Topological Neural Networks
Claudio Battiloro
Ege Karaismailoglu
Mauricio Tec
George Dasoulas
Michelle Audirac
Francesca Dominici
47
5
0
24 May 2024
Which Frequencies do CNNs Need? Emergent Bottleneck Structure in Feature Learning
Which Frequencies do CNNs Need? Emergent Bottleneck Structure in Feature Learning
Yuxiao Wen
Arthur Jacot
49
6
0
12 Feb 2024
Equivariant Symmetry Breaking Sets
Equivariant Symmetry Breaking Sets
YuQing Xie
Tess E. Smidt
25
4
0
05 Feb 2024
Self-Supervised Detection of Perfect and Partial Input-Dependent
  Symmetries
Self-Supervised Detection of Perfect and Partial Input-Dependent Symmetries
Alonso Urbano
David W. Romero
24
1
0
19 Dec 2023
Lie Neurons: Adjoint-Equivariant Neural Networks for Semisimple Lie
  Algebras
Lie Neurons: Adjoint-Equivariant Neural Networks for Semisimple Lie Algebras
Tzu-Yuan Lin
Minghan Zhu
Maani Ghaffari
40
1
0
06 Oct 2023
E(2)-Equivariant Graph Planning for Navigation
E(2)-Equivariant Graph Planning for Navigation
Linfeng Zhao
Hongyu Li
T. Padır
Huaizu Jiang
Lawson L. S. Wong
25
6
0
22 Sep 2023
Neural Discovery of Permutation Subgroups
Neural Discovery of Permutation Subgroups
Pavan Karjol
Rohan Kashyap
A. Prathosh
28
3
0
11 Sep 2023
Can Euclidean Symmetry be Leveraged in Reinforcement Learning and
  Planning?
Can Euclidean Symmetry be Leveraged in Reinforcement Learning and Planning?
Linfeng Zhao
Owen Howell
Jung Yeon Park
Xu Zhu
Robin G. Walters
Lawson L. S. Wong
36
1
0
17 Jul 2023
Neural Fourier Transform: A General Approach to Equivariant
  Representation Learning
Neural Fourier Transform: A General Approach to Equivariant Representation Learning
Masanori Koyama
Kenji Fukumizu
Kohei Hayashi
Takeru Miyato
27
8
0
29 May 2023
Approximation-Generalization Trade-offs under (Approximate) Group Equivariance
Approximation-Generalization Trade-offs under (Approximate) Group Equivariance
Mircea Petrache
Shubhendu Trivedi
33
22
0
27 May 2023
Higher Order Gauge Equivariant CNNs on Riemannian Manifolds and
  Applications
Higher Order Gauge Equivariant CNNs on Riemannian Manifolds and Applications
Gianfranco Cortés
Yue Yu
R. Chen
Melissa S. Armstrong
David E Vaillancourt
B. Vemuri
29
1
0
26 May 2023
Statistical Guarantees of Group-Invariant GANs
Statistical Guarantees of Group-Invariant GANs
Ziyu Chen
M. Katsoulakis
Luc Rey-Bellet
Wei-wei Zhu
39
2
0
22 May 2023
EFEM: Equivariant Neural Field Expectation Maximization for 3D Object
  Segmentation Without Scene Supervision
EFEM: Equivariant Neural Field Expectation Maximization for 3D Object Segmentation Without Scene Supervision
Jiahui Lei
Congyue Deng
Karl Schmeckpeper
Leonidas J. Guibas
Kostas Daniilidis
3DPC
24
21
0
27 Mar 2023
Learning Rotation-Equivariant Features for Visual Correspondence
Learning Rotation-Equivariant Features for Visual Correspondence
Jongmin Lee
Byung-soo Kim
Seungwook Kim
Minsu Cho
SSL
16
23
0
25 Mar 2023
Optimization Dynamics of Equivariant and Augmented Neural Networks
Optimization Dynamics of Equivariant and Augmented Neural Networks
Axel Flinth
F. Ohlsson
30
5
0
23 Mar 2023
Computing equivariant matrices on homogeneous spaces for Geometric Deep
  Learning and Automorphic Lie Algebras
Computing equivariant matrices on homogeneous spaces for Geometric Deep Learning and Automorphic Lie Algebras
V. Knibbeler
30
1
0
13 Mar 2023
On Interpretable Approaches to Cluster, Classify and Represent
  Multi-Subspace Data via Minimum Lossy Coding Length based on Rate-Distortion
  Theory
On Interpretable Approaches to Cluster, Classify and Represent Multi-Subspace Data via Minimum Lossy Coding Length based on Rate-Distortion Theory
Kaige Lu
Avraham Chapman
18
0
0
21 Feb 2023
Sample Complexity of Probability Divergences under Group Symmetry
Sample Complexity of Probability Divergences under Group Symmetry
Ziyu Chen
M. Katsoulakis
Luc Rey-Bellet
Weixia Zhu
20
10
0
03 Feb 2023
Noncommutative $C^*$-algebra Net: Learning Neural Networks with Powerful
  Product Structure in $C^*$-algebra
Noncommutative C∗C^*C∗-algebra Net: Learning Neural Networks with Powerful Product Structure in C∗C^*C∗-algebra
Ryuichiro Hataya
Yuka Hashimoto
28
4
0
26 Jan 2023
Equivariant and Steerable Neural Networks: A review with special
  emphasis on the symmetric group
Equivariant and Steerable Neural Networks: A review with special emphasis on the symmetric group
Patrick Krüger
Hanno Gottschalk
16
1
0
08 Jan 2023
Implicit Convolutional Kernels for Steerable CNNs
Implicit Convolutional Kernels for Steerable CNNs
Maksim Zhdanov
Nico Hoffmann
Gabriele Cesa
26
5
0
12 Dec 2022
Equivalence Between SE(3) Equivariant Networks via Steerable Kernels and
  Group Convolution
Equivalence Between SE(3) Equivariant Networks via Steerable Kernels and Group Convolution
A. Poulenard
M. Ovsjanikov
Leonidas J. Guibas
3DPC
30
2
0
29 Nov 2022
Equivariant Networks for Crystal Structures
Equivariant Networks for Crystal Structures
Sekouba Kaba
Siamak Ravanbakhsh
AI4CE
42
23
0
15 Nov 2022
Robust Self-Supervised Learning with Lie Groups
Robust Self-Supervised Learning with Lie Groups
Mark Ibrahim
Diane Bouchacourt
Ari S. Morcos
SSL
OOD
35
6
0
24 Oct 2022
A PAC-Bayesian Generalization Bound for Equivariant Networks
A PAC-Bayesian Generalization Bound for Equivariant Networks
Arash Behboodi
Gabriele Cesa
Taco S. Cohen
48
17
0
24 Oct 2022
Robustcaps: a transformation-robust capsule network for image
  classification
Robustcaps: a transformation-robust capsule network for image classification
Saindhavi Venkataraman
S. Balasubramanian
R. R. Sarma
13
2
0
20 Oct 2022
A tradeoff between universality of equivariant models and learnability
  of symmetries
A tradeoff between universality of equivariant models and learnability of symmetries
Vasco Portilheiro
25
2
0
17 Oct 2022
Theory for Equivariant Quantum Neural Networks
Theory for Equivariant Quantum Neural Networks
Quynh T. Nguyen
Louis Schatzki
Paolo Braccia
Michael Ragone
Patrick J. Coles
F. Sauvage
Martín Larocca
M. Cerezo
27
88
0
16 Oct 2022
Representation Theory for Geometric Quantum Machine Learning
Representation Theory for Geometric Quantum Machine Learning
Michael Ragone
Paolo Braccia
Quynh T. Nguyen
Louis Schatzki
Patrick J. Coles
F. Sauvage
Martín Larocca
M. Cerezo
AI4CE
26
73
0
14 Oct 2022
Analysis of (sub-)Riemannian PDE-G-CNNs
Analysis of (sub-)Riemannian PDE-G-CNNs
Gijs Bellaard
Daan Bon
Gautam Pai
B. Smets
R. Duits
AI4CE
28
12
0
03 Oct 2022
In Search of Projectively Equivariant Networks
In Search of Projectively Equivariant Networks
Georg Bökman
Axel Flinth
Fredrik Kahl
37
0
0
29 Sep 2022
Bispectral Neural Networks
Bispectral Neural Networks
Sophia Sanborn
Christian Shewmake
Bruno A. Olshausen
Christopher Hillar
28
12
0
07 Sep 2022
The Neural Process Family: Survey, Applications and Perspectives
The Neural Process Family: Survey, Applications and Perspectives
Saurav Jha
Dong Gong
Xuesong Wang
Richard E. Turner
L. Yao
BDL
73
24
0
01 Sep 2022
Equivariant Representation Learning via Class-Pose Decomposition
Equivariant Representation Learning via Class-Pose Decomposition
G. Marchetti
Gustaf Tegnér
Anastasiia Varava
Danica Kragic
DRL
29
14
0
07 Jul 2022
Towards out of distribution generalization for problems in mechanics
Towards out of distribution generalization for problems in mechanics
Lingxiao Yuan
Harold S. Park
Emma Lejeune
OOD
AI4CE
30
16
0
29 Jun 2022
Unified Fourier-based Kernel and Nonlinearity Design for Equivariant
  Networks on Homogeneous Spaces
Unified Fourier-based Kernel and Nonlinearity Design for Equivariant Networks on Homogeneous Spaces
Yinshuang Xu
Jiahui Lei
Edgar Dobriban
Kostas Daniilidis
23
19
0
16 Jun 2022
E2PN: Efficient SE(3)-Equivariant Point Network
E2PN: Efficient SE(3)-Equivariant Point Network
Minghan Zhu
Maani Ghaffari
W. A. Clark
Huei Peng
3DPC
16
18
0
11 Jun 2022
A General Framework For Proving The Equivariant Strong Lottery Ticket
  Hypothesis
A General Framework For Proving The Equivariant Strong Lottery Ticket Hypothesis
Damien Ferbach
Christos Tsirigotis
Gauthier Gidel
Avishek
A. Bose
32
16
0
09 Jun 2022
Integrating Symmetry into Differentiable Planning with Steerable
  Convolutions
Integrating Symmetry into Differentiable Planning with Steerable Convolutions
Linfeng Zhao
Xu Zhu
Lingzhi Kong
Robin G. Walters
Lawson L. S. Wong
20
7
0
08 Jun 2022
A Classification of $G$-invariant Shallow Neural Networks
A Classification of GGG-invariant Shallow Neural Networks
Devanshu Agrawal
James Ostrowski
14
7
0
18 May 2022
Self-Supervised Equivariant Learning for Oriented Keypoint Detection
Self-Supervised Equivariant Learning for Oriented Keypoint Detection
Jongmin Lee
Byung-soo Kim
Minsu Cho
3DPC
18
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
14
15
0
31 Mar 2022
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