2 papers
math.OC2025
Parameter-Free Accelerated Quasi-Newton Method for Nonconvex Optimization
Naoki Marumo
We propose a quasi-Newton-type method for nonconvex optimization with Lipschitz continuous gradients and Hessians. The algorithm finds an -stationary point within $\ma…
math.OC2025
Heavy-ball Differential Equation Achieves 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…