Lie Point Symmetries

Lie Point Symmetries and Physics-Informed Networks

We present how to use Lie Point Symmetries of PDEs to improve physics-informed neural networks. Published at NeurIPS 2023.

Lie Point Symmetry Data Augmentation for Neural PDE Solvers

We present how to use Lie Point Symmetries of PDEs to improve sample complexity of neural PDE solvers. Published at ICML 2022 (Spotlight).

Geometric Deep Learning

My passion for Geometric Deep Learning can be unmistakenly traced back to my physics background. I have contributed to the fields of graph neural networks, equivariant architectures, and neural PDE solvers. Furthermore, I have lead efforts to introduce Lie Point Symmetries, and, most recently, Clifford (Geometric) Algebras into the Deep Learning community.