@inproceedings{ruhe2023geometric,
author = {Ruhe, David and Gupta, Jayesh K. and Keninck, Steven de and Welling, Max and Brandstetter, Johannes},
title = {Geometric Clifford Algebra Networks},
booktitle = {ICML 2023},
year = {2023},
month = {June},
abstract = {We propose Geometric Clifford Algebra Networks (GCANs) for modeling dynamical systems. GCANs are based on symmetry group transformations using geometric (Clifford) algebras. We first review the quintessence of modern (plane-based) geometric algebra, which builds on isometries encoded as elements of the  group. We then propose the concept of group action layers, which linearly combine object transformations using pre-specified group actions. Together with a new activation and normalization scheme, these layers serve as adjustable  that can be refined via gradient descent. Theoretical advantages are strongly reflected in the modeling of three-dimensional rigid body transformations as well as large-scale fluid dynamics simulations, showing significantly improved performance over traditional methods.},
url = {http://approjects.co.za/?big=en-us/research/publication/geometric-clifford-algebra-networks/},
}