All the works that may be useful for writing my paper divided by topic in order to structure them
Note
This review table will be updated, so it is not a final version.
| Topic | Title | Year | Authors | Paper | Code | Summary |
|---|---|---|---|---|---|---|
| Tutorial | Group Equivariant Deep Learning - Lecture Series | 2022 | Bekkers, E. | YouTube | GitHub | Video course covering group theory, equivariant convolutions, group representations, and modern architectures (graph NNs, steerable kernels) |
| Review | Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures | 2025 | Papillon, M. et al. | arXiv | N/A | A modern review integrating geometric, topological, and algebraic approaches in ML |
| Learning Algebraic Structures | Learning Algebraic Structures: Preliminary Investigations | 2019 | He, Y. H., & Kim, M. | arXiv | N/A | Investigates whether neural networks can "learn" algebraic structures (groups, rings) from their multiplication (Cayley) tables. |
| Fundamental Solutions | Group Equivariant Convolutional Networks | 2016 | Cohen, T., & Welling, M. | ICML 2016 | GitHub | Foundational work introducing GCNNs and equivariance principles for discrete groups, including p4 (generated by translations and 90° rotations), closely related to D_4. |
| Applications (Physics) | Equivariant neural network for lattice models in condensed matter systems | 2026 | Fan, Y., & Chern, G.-W. | arXiv | N/A | Applies a D_4-equivariant network to physical models on a square lattice (Holstein model). |
| Base Architecture | Image-Transform-Predict | 2026 | Daniil Dorin, Kseniia Varlamova, Andrey Grabovoy | (to be filled) | GitHub | The autoregressive Siamese encoder + Transformer decoder architecture |
| Research in a similar sphere | Axis-level Symmetry Detection with Group-Equivariant Representation | 2025 | Wongyun Yu Ahyun Seo Minsu Cho | arXiv | Applying dihedral group-equivariant neural networks for reflectional and rotational matching | |
| Tutorial | Tutorial on group convolutions with vector field data | 2021 | Bekkers, E. | N/A | Colab | Implementations of equivariant neural networks |
| Tutorial | Tutorial on group convolutions networks | 2021 | Gabriele, C. | N/A | Colab | Tutorial on implementations of equivariant neural networks |
| Eq. encoder | Octic ViT | 2025 | Nordström, Edstedt, Kahl, Bökman | arXiv | GitHub | D_8-equivariant Visual Transformer |
| Eq. encoder | E(2)-Equivariant Vision Transformer | 2023 | Xu, Yang, Liu, He | paper | GitHub | E(2)-Equivariant Vision Transformer |
| Shift eq. encoder | Making Vision Transformers Truly Shift-Equivariant | 2024 | Rojas-Gomez et al. | CVPR 2024 | ||
| Roto-Translation eq. encoder | Harmformer: Harmonic Networks Meet Transformers for Continuous Roto-Translation EquivarianceShift-Equivariant | 2024 | Tomáš Karella, Adam Harmanec, Jan Kotera, Jan Blažek, Filip Šroubek | NeurReps 2024 |