High-Dimensional Non-Convex Landscapes and Gradient Descent Dynamics
Tony Bonnaire, Davide Ghio, Kamesh Krishnamurthy, Francesca Mignacco, Atsushi Yamamura, Giulio Biroli · arXiv (Cornell University) · 2023
In these lecture notes we present different methods and concepts developed in statistical physics to analyze gradient descent dynamics in high-dimensional non-convex landscapes. Our aim is to show how approaches developed in physics, mainly statistical physics of disordered systems, can be used to tackle open questions on high-dimensional dynamics in Machine Learning.