Geometric Algebra

Geometric algebra (GA) provides a unified mathematical framework for representing and manipulating geometric objects and transformations, aiming to simplify complex geometric computations. Current research focuses on applying GA to machine learning, particularly through novel neural network architectures like Geometric Clifford Algebra Networks (GCANs) and the integration of GA with large language models for tasks such as 3D scene manipulation and knowledge graph completion. This approach offers advantages in efficiency, accuracy, and generalizability across diverse applications, including robotics, computer vision, and physics simulations, by leveraging GA's inherent geometric properties to create more compact and robust models.