3 papers
cs.LG2026
Non-Euclidean Gradient Descent Operates at the Edge of Stability
Rustem Islamov, Michael Crawshaw, Jeremy Cohen +1
The Edge of Stability (EoS) is a phenomenon where the sharpness (largest eigenvalue) of the Hessian approaches and then hovers near the stability threshold during gradient d…
stat.ML2026
There Will Be a Scientific Theory of Deep Learning
Jamie Simon, Daniel Kunin, Alexander Atanasov +11
In this paper, we make the case that a scientific theory of deep learning is emerging. By this we mean a theory which characterizes important properties and statistics of the train…
cs.LG2025
Understanding Optimization in Deep Learning with Central Flows
Jeremy M. Cohen, Alex Damian, Ameet Talwalkar +2
Traditional theories of optimization cannot describe the dynamics of optimization in deep learning, even in the simple setting of deterministic training. The challenge is that opti…