Deep Learning as the Disciplined Construction of Tame Objects
A new arXiv paper proposes viewing deep learning models as compositions of functions within the framework of tame geometry. The research explores the intersection of tame geometry, optimization theory, and deep learning, aiming to provide convergence guarantees for stochastic gradient descent in complex settings. This work suggests tame geometry offers a natural mathematical foundation for understanding AI systems, particularly deep learning. AI
IMPACT Proposes a new mathematical framework for understanding deep learning models, potentially influencing future theoretical research.