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Paper list for equivariant neural network
| Date | Stars |
|---|---|
| 2026-07-31 | 1095 |
| 2026-08-04 | 1095 |
| 2026-08-05 | 1095 |
| 2026-08-06 | 1095 |
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# awesome-equivariant-network Paper list for equivariant neural network. Work-in-progress. Feel free to suggest relevant papers in the following format. ```markdown **Group Equivariant Convolutional Networks** Taco S. Cohen, Max Welling ICML 2016 [paper](https://arxiv.org/pdf/1602.07576.pdf) ``` *Acknowledgement*: I would like to thank Maurice Weiler, Fabian Fuchs, Tess Smidt, Rui Wang, David Pfau, Jonas Köhler, Taco Cohen, Gregor Simm, Erik J Bekkers, Jean-Baptiste Cordonnier, David W. Romero, Ivan Sosnovik, Kostas Daniilidis for paper suggestions! Thank Weihao Xia for helping out typesetting! ### Table of Contents - [Equivariance and Group convolution](#equivariance-and-Group-convolution) - [Theory](#theory) - [Equivariant Density Estimation and Sampling](equivariant-density-estimation-and-sampling) - [Application](#application) - [Permutation Equivariance](#permutation-equivariance) - [Talk and Tutorial](#talk-and-tutorial) - [TO READ](#to-read) ### [Equivariance and Group convolution](#content) 1. **Group Equivariant Convolutional Networks** Taco S. Cohen, Max Welling ICML 2016 [paper](https://arxiv.org/pdf/1602.07576.pdf) Note: first paper; discrete group; 2. **Steerable CNNs** Taco S. Cohen, Max Welling ICLR 2017 [paper](https://arxiv.org/abs/1612.08498) 3. **Harmonic Networks: Deep Translation and Rotation Equivariance** Daniel E. Worrall, Stephan J. Garbin, Daniyar Turmukhambetov, Gabriel J. Brostow CVPR 2017 [paper](https://arxiv.org/abs/1612.04642) 4. **Spherical CNNs** Taco S. Cohen, Mario Geiger, Jonas Koehler, Max Welling ICLR 2018 best paper [paper](https://arxiv.org/abs/1801.10130) Note: use generalized FFT to speed up convolution on $S^2$ and $SO(3)$ 5. **Clebsch–Gordan Nets: a Fully Fourier Space Spherical Convolutional Neural Network** Risi Kondor, Zhen Lin, Shubhendu Trivedi NeurIPS 2018 [paper](https://arxiv.org/abs/1806.09231) Note: perform equivariant nonlinearity in Fourier space; 6. **General E(2)-Equivariant Steerable CNNs** Maurice Weiler, Gabriele Cesa NeurIPS 2019 [paper](https://arxiv.org/abs/1911.08251) Note: nice benchmark on different reprsentations 7. **Learning Steerable Filters for Rotation Equivariant CNNs** Maurice Weiler, Fred A. Hamprecht, Martin Storath CVPR 2018 [paper](https://arxiv.org/abs/1711.07289) Note: group convolutions, kernels parameterized in circular harmonic basis (steerable filters); 8. **Learning SO(3) Equivariant Representations with Spherical CNNs** Carlos Esteves, Christine Allen-Blanchette, Ameesh Makadia, Kostas Daniilidis ECCV 2018 [paper](https://openaccess.thecvf.com/content_ECCV_2018/html/Carlos_Esteves_Learning_SO3_Equivariant_ECCV_2018_paper.html) Note: SO(3) equivariance; zonal filter 9. **Polar Transformer Networks** Carlos Esteves, Christine Allen-Blanchette, Xiaowei Zhou, Kostas Daniilidis ICLR 2018 [paper](https://arxiv.org/abs/1709.01889) 10. **3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data** Maurice Weiler, Mario Geiger, Max Welling, Wouter Boomsma, Taco Cohen NeurIPS 2018 [paper](https://arxiv.org/abs/1807.02547) Note: SE(3) equivariance; characterize the basis of steerable kernel 11. **Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds** Nathaniel Thomas, Tess Smidt, Steven Kearnes, Lusann Yang, Li Li, Kai Kohlhoff, Patrick Riley [paper](https://arxiv.org/abs/1802.08219) Note: SE(3) equivariance for point clouds 12. **Equivariant Multi-View Networks** Carlos Esteves, Yinshuang Xu, Christine Allen-Blanchette, Kostas Daniilidis ICCV 2019 [paper](https://arxiv.org/abs/1904.00993) 13. **Gauge Equivariant Convolutional Networks and the Icosahedral CNN** Taco S. Cohen, Maurice Weiler, Berkay Kicanaoglu, Max Welling ICML 2019 [paper](https://arxiv.org/abs/1902.04615), [talk](https://slideslive.com/38915809/gauge-equivariant-convolutional-networks?locale=de)
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David W. Romero · NVIDIA · United States
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Chaitanya Joshi · Stanford University · United States
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Kristian Georgiev · OpenAI · United States
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Jean-Baptiste Cordonnier · Switzerland
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