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Steerable convolutional neural networks (CNNs) provide a general framework for building neural networks equivariant to translations and transformations of an origin-preserving group $G$, such as reflections and rotations.
Linear representations of finite groups
Jean-Pierre Serre · 1977
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Building symmetries into feedforward networks
J. Shawe-Taylor · 1989
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The design and use of steerable filters
William T. Freeman and Edward H. Adelson · 1991
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Convolutional networks for images, speech, and time series
Yann LeCun and Yoshua Bengio · 1998
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3d shapenets: A deep representation for volumetric shapes
Zhirong Wu, Shuran Song, Aditya Khosla, Fisher Yu, Linguang Zhang, Xiaoou Tang, and Jianxiong Xiao · 2015
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Group equivariant convolutional networks
Taco Cohen and Max Welling · 2016
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Steerable CNNs
Taco S. Cohen and Max Welling · 2016
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Learning so(3) equivariant representations with spherical cnns
Carlos Esteves, Christine Allen-Blanchette, Ameesh Makadia, and Kostas Daniilidis · 2017
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Neural message passing for quantum chemistry
Justin Gilmer, Samuel S. Schoenholz, Patrick F. Riley, Oriol Vinyals, and George E. Dahl · 2017
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Pointnet++: Deep hierarchical feature learning on point sets in a metric space
Charles R Qi, Li Yi, Hao Su, and Leonidas J Guibas · 2017
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Schnet: A continuous-filter convolutional neural network for modeling quantum interactions
Kristof Schütt, Pieter-Jan Kindermans, Huziel Enoc Sauceda Felix, Stefan Chmiela, Alexandre Tkatchenko, and Klaus-Robert Müller · 2017
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Harmonic networks: Deep translation and rotation equivariance
Daniel E. Worrall, Stephan J. Garbin, Daniyar Turmukhambetov, and Gabriel J. Brostow · 2017
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Moleculenet: A benchmark for molecular machine learning
Zhenqin Wu, Bharath Ramsundar, Evan N. Feinberg, Joseph Gomes, Caleb Geniesse, Aneesh S. Pappu, Karl Leswing, and Vijay S. Pande · 2017
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Roto-translation covariant convolutional networks for medical image analysis
Erik J. Bekkers, Maxime W Lafarge, Mitko Veta, Koen A.J. Eppenhof, Josien P.W. Pluim, and Remco Duits · 2018
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Neural relational inference for interacting systems
Thomas Kipf, Ethan Fetaya, Kuan-Chieh Wang, Max Welling, and Richard Zemel · 2018
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Risi Kondor and Shubhendu Trivedi · 2018
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Tensor field networks: Rotation- and translation-equivariant neural networks for 3d point clouds
Nathaniel Thomas, Tess E. Smidt, Steven M. Kearnes, Lusann Yang, Li Li, Kai Kohlhoff, and Patrick F. Riley · 2018
Earlier work this paper cites.
3d steerable cnns: Learning rotationally equivariant features in volumetric data
Maurice Weiler, Mario Geiger, Max Welling, Wouter Boomsma, and Taco Cohen · 2018
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Learning steerable filters for rotation equivariant CNNs
Maurice Weiler, Fred A. Hamprecht, and Martin Storath · 2018
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Cormorant: Covariant molecular neural networks
Brandon M. Anderson, Truong Son Hy, and Risi Kondor · 2019
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Gauge equivariant convolutional networks and the icosahedral cnn
Taco Cohen, Maurice Weiler, Berkay Kicanaoglu, and Max Welling · 2019
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A general theory of equivariant CNNs on homogeneous spaces
Taco S. Cohen, Mario Geiger, and Maurice Weiler · 2019
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Decoupled weight decay regularization
Ilya Loshchilov and Frank Hutter · 2019
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Spherical fractal convolutional neural networks for point cloud recognition
Yongming Rao, Jiwen Lu, and Jie Zhou · 2019
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Dynamic graph cnn for learning on point clouds
Yue Wang, Yongbin Sun, Ziwei Liu, Sanjay E. Sarma, Michael M. Bronstein, and Justin M. Solomon · 2019
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Spherical message passing for 3d graph networks
Yi Liu, Limei Wang, Meng Liu, Xuan Zhang, Bora Oztekin, and Shuiwang Ji · 2021
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A functional approach to rotation equivariant non-linearities for tensor field networks
Adrien Poulenard and Leonidas J. Guibas · 2021
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Flexconv: Continuous kernel convolutions with differentiable kernel sizes
David W Romero, Robert-Jan Bruintjes, Jakub M Tomczak, Erik J Bekkers, Mark Hoogendoorn, and Jan C van Gemert · 2021
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E(n) equivariant graph neural networks
Victor Garcia Satorras, Emiel Hoogeboom, and Max Welling · 2021
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Equivariant message passing for the prediction of tensorial properties and molecular spectra
Kristof T. Schütt, Oliver T. Unke, and Michael Gastegger · 2021
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General E ( 2 ) E(2) -Equivariant Steerable CNNs
Maurice Weiler and Gabriele Cesa · 2019
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Erik J. Bekkers · 2020
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Generalizing convolutional neural networks for equivariance to lie groups on arbitrary continuous data
Marc Finzi, Samuel Stanton, Pavel Izmailov, and Andrew Gordon Wilson · 2020
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Se(3)-transformers: 3d roto-translation equivariant attention networks
Fabian B. Fuchs, Daniel E. Worrall, Volker Fischer, and Max Welling · 2020
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Fast and uncertainty-aware directional message passing for non-equilibrium molecules
Johannes Klicpera, Shankari Giri, Johannes T. Margraf, and Stephan Gunnemann · 2020
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A Wigner-Eckart theorem for group equivariant convolution kernels
Leon Lang and Maurice Weiler · 2020
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Coordinate Independent Convolutional Networks - Isometry and Gauge Equivariant Convolutions on Riemannian Manifolds
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E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials
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Equivariant and Coordinate Independent Convolutional Networks
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