Physics-informed machine learning: case studies for weather and climate modelling
Machine learning (ML) provides novel and powerful ways of accurately and efficiently
recognizing complex patterns, emulating nonlinear dynamics, and predicting the spatio …
recognizing complex patterns, emulating nonlinear dynamics, and predicting the spatio …
[HTML][HTML] Graph neural networks: A review of methods and applications
Lots of learning tasks require dealing with graph data which contains rich relation
information among elements. Modeling physics systems, learning molecular fingerprints …
information among elements. Modeling physics systems, learning molecular fingerprints …
How powerful are spectral graph neural networks
Abstract Spectral Graph Neural Network is a kind of Graph Neural Network (GNN) based on
graph signal filters. Some models able to learn arbitrary spectral filters have emerged …
graph signal filters. Some models able to learn arbitrary spectral filters have emerged …
Pure transformers are powerful graph learners
We show that standard Transformers without graph-specific modifications can lead to
promising results in graph learning both in theory and practice. Given a graph, we simply …
promising results in graph learning both in theory and practice. Given a graph, we simply …
Graph neural networks: foundation, frontiers and applications
The field of graph neural networks (GNNs) has seen rapid and incredible strides over the
recent years. Graph neural networks, also known as deep learning on graphs, graph …
recent years. Graph neural networks, also known as deep learning on graphs, graph …
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 …
dynamics by multiple orders of magnitude and thus revolutionize chemical simulations …
Understanding and extending subgraph gnns by rethinking their symmetries
F Frasca, B Bevilacqua… - Advances in Neural …, 2022 - proceedings.neurips.cc
Subgraph GNNs are a recent class of expressive Graph Neural Networks (GNNs) which
model graphs as collections of subgraphs. So far, the design space of possible Subgraph …
model graphs as collections of subgraphs. So far, the design space of possible Subgraph …
Representational strengths and limitations of transformers
Attention layers, as commonly used in transformers, form the backbone of modern deep
learning, yet there is no mathematical description of their benefits and deficiencies as …
learning, yet there is no mathematical description of their benefits and deficiencies as …
Benchmarking graph neural networks
In the last few years, graph neural networks (GNNs) have become the standard toolkit for
analyzing and learning from data on graphs. This emerging field has witnessed an extensive …
analyzing and learning from data on graphs. This emerging field has witnessed an extensive …
Theory for equivariant quantum neural networks
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 …
face trainability and generalization issues. Inspired by a similar problem, recent …