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math.OC2026
A Restart-Free Accelerated Algorithm for Non-Convex Minimization: Continuous and Discrete Analysis
Kansei Ushiyama, Shun Sato
We propose two novel first-order methods for minimizing nonconvex functions with Lipschitz-continuous gradients and Hessians. These algorithms attain an -approximate f…
math.OC2025
Essential Convergence Rates of Continuous-Time Models for Optimization Methods
Kansei Ushiyama, Shun Sato, Takayasu Matsuo
Designing and analyzing optimization methods via continuous-time models expressed as ordinary differential equations (ODEs) is a promising approach for its intuitiveness and simpli…