Category Theory

Category theory, a branch of abstract mathematics, is increasingly used to provide a rigorous foundation for diverse areas of machine learning and artificial intelligence. Current research focuses on applying categorical frameworks to model neural network architectures (e.g., transformers, attention mechanisms), develop robust and explainable algorithms (e.g., nearest neighbor classification, reinforcement learning), and analyze the underlying structure of data and computations (e.g., disentanglement, generative AI). This approach promises to enhance the theoretical understanding and practical capabilities of AI systems by providing a unified mathematical language for describing and analyzing complex computational structures.

Papers