Gemnet: Universal directional graph neural networks for molecules

J Gasteiger, F Becker… - Advances in Neural …, 2021 - proceedings.neurips.cc
Effectively predicting molecular interactions has the potential to accelerate molecular
dynamics by multiple orders of magnitude and thus revolutionize chemical simulations …

Theory for equivariant quantum neural networks

QT Nguyen, L Schatzki, P Braccia, M Ragone, PJ Coles… - PRX Quantum, 2024 - APS
Quantum neural network architectures that have little to no inductive biases are known to
face trainability and generalization issues. Inspired by a similar problem, recent …

On the expressive power of geometric graph neural networks

CK Joshi, C Bodnar, SV Mathis… - … on machine learning, 2023 - proceedings.mlr.press
The expressive power of Graph Neural Networks (GNNs) has been studied extensively
through the Weisfeiler-Leman (WL) graph isomorphism test. However, standard GNNs and …

e3nn: Euclidean neural networks

M Geiger, T Smidt - arXiv preprint arXiv:2207.09453, 2022 - arxiv.org
We present e3nn, a generalized framework for creating E (3) equivariant trainable functions,
also known as Euclidean neural networks. e3nn naturally operates on geometry and …

Equivariance with learned canonicalization functions

SO Kaba, AK Mondal, Y Zhang… - International …, 2023 - proceedings.mlr.press
Symmetry-based neural networks often constrain the architecture in order to achieve
invariance or equivariance to a group of transformations. In this paper, we propose an …

An efficient Lorentz equivariant graph neural network for jet tagging

S Gong, Q Meng, J Zhang, H Qu, C Li, S Qian… - Journal of High Energy …, 2022 - Springer
A bstract Deep learning methods have been increasingly adopted to study jets in particle
physics. Since symmetry-preserving behavior has been shown to be an important factor for …

Sign and basis invariant networks for spectral graph representation learning

D Lim, J Robinson, L Zhao, T Smidt, S Sra… - arXiv preprint arXiv …, 2022 - arxiv.org
We introduce SignNet and BasisNet--new neural architectures that are invariant to two key
symmetries displayed by eigenvectors:(i) sign flips, since if $ v $ is an eigenvector then so is …

Gemnet: Universal directional graph neural networks for molecules

J Klicpera, F Becker, S Günnemann - Proceedings of the 35th …, 2021 - dl.acm.org
Effectively predicting molecular interactions has the potential to accelerate molecular
dynamics by multiple orders of magnitude and thus revolutionize chemical simulations …

Geometrically equivariant graph neural networks: A survey

J Han, Y Rong, T Xu, W Huang - arXiv preprint arXiv:2202.07230, 2022 - arxiv.org
Many scientific problems require to process data in the form of geometric graphs. Unlike
generic graph data, geometric graphs exhibit symmetries of translations, rotations, and/or …

Physics-guided deep learning for dynamical systems: A survey

R Wang, R Yu - arXiv preprint arXiv:2107.01272, 2021 - arxiv.org
Modeling complex physical dynamics is a fundamental task in science and engineering.
Traditional physics-based models are sample efficient, and interpretable but often rely on …