11 citations · 55 across the 23 of their papers we have counts for
4 papers · 1 filter
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…
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…
Accelerated gradient descent method for functionals of probability measures by new convexity and smoothness based on transport maps
Ken'ichiro Tanaka
We consider problems of minimizing functionals of probability measures on the Euclidean space. To propose an accelerated gradient descent algorithm for such problems,…
Sparser Kernel Herding with Pairwise Conditional Gradients without Swap Steps
Kazuma Tsuji, Ken'ichiro Tanaka, Sebastian Pokutta
The Pairwise Conditional Gradients (PCG) algorithm is a powerful extension of the Frank-Wolfe algorithm leading to particularly sparse solutions, which makes PCG very appealing for…