Heavy-ball Differential Equation Achieves $O({\epsilon }^{-7/4})$ Convergence for Nonconvex Functions

Kaito Okamura, Naoki Marumo, Akiko Takeda

First-order optimization methods for nonconvex functions with Lipschitz continuous gradient and Hessian have been extensively studied. State-of-the-art methods for finding an $\var…