2 papers
math.OC2026
Convergence analysis of dynamical systems for optimization by an improved Lyapunov framework
Atsushi Tabei, Ken'ichiro Tanaka
We study the convergence analysis of continuous-time dynamical systems associated with optimization methods for strongly convex functions. Recent works have proposed systematic con…
math.OC2025
Computer-Assisted Search for Differential Equations Corresponding to Optimization Methods and Their Convergence Rates
Atsushi Tabei, Ken'ichiro Tanaka
Let be a continuously differentiable convex function with its minimizer denoted by and optimal value . Optimization algorithms s…