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 …
The expressive power of Graph Neural Networks (GNNs) has been studied extensively through the Weisfeiler-Leman (WL) graph isomorphism test. However, standard GNNs and …
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 …
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 …
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 …
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 …
Effectively predicting molecular interactions has the potential to accelerate molecular dynamics by multiple orders of magnitude and thus revolutionize chemical simulations …
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 …
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 …