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Awesome Equivariant Frame

Foundation Work

Frame Averaging for Invariant and Equivariant Network Design
Omri Puny, Matan Atzmon, Heli Ben-Hamu, Ishan Misra, Aditya Grover, Edward J. Smith, Yaron Lipman
ICLR 2022. [Paper]
7 Oct 2021

Canonicalization and Global Frame

Frame Averaging for Equivariant Shape Space Learning
Matan Atzmon, Koki Nagano, Sanja Fidler, Sameh Khamis, Yaron Lipman
CVPR 2022. [Paper]
26 Aug 2022

Equivariance with Learned Canonicalization Functions
Sékou-Oumar Kaba, Arnab Kumar Mondal, Yan Zhang, Yoshua Bengio, Siamak Ravanbakhsh
ICML 2023. [Paper]
11 Nov 2022

Learning Probabilistic Symmetrization for Architecture Agnostic Equivariance
Jinwoo Kim, Tien Dat Nguyen, Ayhan Suleymanzade, Hyeokjun An, Seunghoon Hong
NeurIPS 2023. [Paper]
5 Jun 2023

Learning Symmetrization for Equivariance with Orbit Distance Minimization
Tien Dat Nguyen*, Jinwoo Kim*, Hongseok Yang, Seunghoon Hong
NeurIPS 2023 Workshop. [Paper]
13 Nov 2023

FAENet: Frame Averaging Equivariant GNN for Materials Modeling
Alexandre Duval, Victor Schmidt, Alex Hernandez Garcia, Santiago Miret, Fragkiskos D. Malliaros, Yoshua Bengio, David Rolnick
ICML 2023. [Paper]
28 Apr 2023

Equivariant Frames and the Impossibility of Continuous Canonicalization
Nadav Dym*, Hannah Lawrence*, Jonathan W. Siegel*
ICML 2024. [Paper]
25 Feb 2024

Equivariance via Minimal Frame Averaging for More Symmetries and Efficiency
Yuchao Lin, Jacob Helwig, Shurui Gui, Shuiwang Ji
ICML 2024. [Paper]
11 Jun 2024

A Canonicalization Perspective on Invariant and Equivariant Learning
George Ma*, Yifei Wang*, Derek Lim, Stefanie Jegelka, Yisen Wang
NeurIPS 2025. [Paper]
28 May 2024

Improving Equivariant Networks with Probabilistic Symmetry Breaking
Hannah Lawrence*, Vasco Portilheiro*, Yan Zhang, Sékou-Oumar Kaba
ICML 2024 Workshop. [Paper]
17 Jun 2024

Improved Canonicalization for Model Agnostic Equivariance
Siba Smarak Panigrahi, Arnab Kumar Mondal
NeurIPS 2024. [Paper]
23 May 2024

GENERALIZATION BOUNDS FOR CANONICALIZATION: A COMPARATIVE STUDY WITH GROUP AVERAGING
Behrooz Tahmasebi, Stefanie Jegelka
ICLR 2025. [Paper]
16 Mar 2025

Regularity in Canonicalized Models: A Theoretical Perspective
Behrooz Tahmasebi, Stefanie Jegelka
AISTATS 2025. [Paper]
03 Oct 2025

Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups
Zakhar Shumaylov, Peter Zaika, James Rowbottom, Ferdia Sherry, Melanie Weber, Carola-Bibiane Schönlieb
ICLR 2025. [Paper]
4 Mar 2025

Local Frame

Graph Neural Network with Local Frame for Molecular Potential Energy Surface
Xiyuan Wang, Muhan Zhang
LoG 2022. [Paper]
21 Apr 2023

SE(3) Equivariant Graph Neural Networks with Complete Local Frames
Weitao Du, He Zhang, Yuanqi Du, Qi Meng, Wei Chen, Bin Shao, Tie-Yan Liu
ICML 2022. [Paper]
6 Jul 2022

A new perspective on building efficient and expressive 3D equivariant graph neural networks
Weitao Du, Yuanqi Du, Limei Wang, Dieqiao Feng, Guifeng Wang, Shuiwang Ji, Carla Gomes, Zhi-Ming Ma
NeurIPS 2023. [Paper]
02 Nov 2023

Smooth, exact rotational symmetrization for deep learning on point clouds
Sergey N. Pozdnyakov, Michele Ceriotti
NeurIPS 2023. [Paper]
30 May 2023

Beyond Canonicalization: How Tensorial Messages Improve Equivariant Message Passing
Peter Lippmann, Gerrit Gerhartz, Roman Remme, Fred A. Hamprecht
ICLR 2025. [Paper]
24 May 2024

Lorentz Local Canonicalization: How to Make Any Network Lorentz-Equivariant
Jonas Spinner, Luigi Favaro, Peter Lippmann, Sebastian Pitz, Gerrit Gerhartz, Tilman Plehn, Fred A. Hamprecht
NeurIPS 2025. [Paper]
24 Oct 2025

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