2 citations · 3 across the 6 of their papers we have counts for
6 papers
Asymptotic Analysis of Gradient Mapping-type Stationarity Measure for the Sum of Nonconvex Nonsmooth Functions and Applications to Proximal Gradient-type Algorithms
Keita Kume, Isao Yamada
We propose a gradient mapping-type stationarity measure for the sum of two possibly nonsmooth nonconvex functions. Under suitable regularity assumptions, we show that Fréchet or pr…
Hierarchical Variational Inequality Problem for Noncooperative Game-Theoretic Selection of Generalized Nash Equilibrium
Shota Matsuo, Keita Kume, Isao Yamada
The equilibrium selection problem in the variational Generalized Nash Equilibrium Problem (v-GNEP) has been reported as an optimization problem defined over the solution set of v-G…
Hierarchical Nash Equilibrium over Variational Equilibria via Fixed-point Set Expression of Quasi-nonexpansive Operator
Shota Matsuo, Keita Kume, Isao Yamada
The equilibrium selection problem in the generalized Nash equilibrium problem (GNEP) has recently been studied as an optimization problem, defined over the set of all variational e…
A Proximal Variable Smoothing for Nonsmooth Minimization Involving Weakly Convex Composite with MIMO Application
Keita Kume, Isao Yamada
We propose a proximal variable smoothing algorithm for nonsmooth optimization problem with sum of three functions involving weakly convex composite function. The proposed algorithm…
Piecewise Linearity of Min-Norm Solution Map of a Nonconvexly Regularized Convex Sparse Model
Yi Zhang, Isao Yamada
It is well known that the minimum -norm solution of the convex LASSO model, say , is a continuous piecewise linear function of the regularization parame…
A variable smoothing for Nonconvexly constrained nonsmooth optimization with application to sparse spectral clustering
Keita Kume, Isao Yamada
We propose a variable smoothing algorithm for solving nonconvexly constrained nonsmooth optimization problems. The target problem has two issues that need to be addressed: (i) the…