Geometric Deep Learning

Geometry-Informed Neural Networks

We introduce geometry-informed neural networks (GINNs) to train shape generative models without any data.

Clifford Group Equivariant Neural Networks

We introduce a novel method to construct E(n)- and O(n)-equivariant neural networks using Clifford algebras. Published at NeurIPS 2023 (Oral).

Geometric Clifford Algebra Networks

We introduce Geometric Clifford Algebra Networks (GCANs) which parameterize combinations of learnable group actions. Published at ICML 2023.

Clifford Neural Layers for PDE Modeling

We introduce neural network layers based on operations on composite objects of scalars, vectors, and higher order objects such as bivectors. Published at ICLR 2023.

Geometric and Physical Quantities Improve E(3) Equivariant Message Passing

We generalise steerable E(3) equivariant graph neural networks such that node and edge updates are able to leverage covariant information. Published at ICLR 2022 (Spotlight).