4 citations · 9 across the 14 of their papers we have counts for
15 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…
A DC Composite Optimization via Variable Smoothing for Robust Phase Retrieval with Nonconvex Loss Functions
Kumataro Yazawa, Keita Kume, Isao Yamada
In this paper, we propose an optimization-based method for robust phase retrieval problem where the goal is to estimate an unknown signal from a quadratic measurement corrupted by…
Linearly involved Generalized Moreau Enhanced Model with Non-quadratic Smooth Convex Data Fidelity Functions
Wataru Yata, Keita Kume, Isao Yamada
In this paper, we introduce an overall convex model incorporating a nonconvex regularizer. The proposed model is designed by extending the least squares term in the constrained LiG…
Minimization of Nonsmooth Weakly Convex Function over Prox-regular Set for Robust Low-rank Matrix Recovery
Keita Kume, Isao Yamada
We propose a prox-regular-type low-rank constrained nonconvex nonsmooth optimization model for Robust Low-Rank Matrix Recovery (RLRMR), i.e., estimate problem of low-rank matrix fr…
A Proximal Variable Smoothing for Minimization of Nonlinearly Composite Nonsmooth Function -- Finite-Max Minimization and MIMO Applications
Keita Kume, Isao Yamada
We propose a proximal variable smoothing algorithm for a nonsmooth optimization problem whose cost function is the sum of three functions including a weakly convex composite functi…
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…
Variable smoothing algorithm for inner-loop-free DC composite optimizations
Kumataro Yazawa, Keita Kume, Isao Yamada
We propose a variable smoothing algorithm for minimizing a nonsmooth and nonconvex cost function. The cost function is the sum of a smooth function and a composition of a differenc…
A convexity preserving nonconvex regularization for inverse problems under non-Gaussian noise
Wataru Yata, Keita Kume, Isao Yamada
We propose a nonconvexly regularized convex model for linear regression problems under non-Gaussian noise. The cost function of the proposed model is designed with a possibly non-q…
An LiGME Regularizer of Designated Isolated Minimizers -- An Application to Discrete-Valued Signal Estimation
Satoshi Shoji, Wataru Yata, Keita Kume +1
For a regularized least squares estimation of discrete-valued signals, we propose a Linearly involved Generalized Moreau Enhanced (LiGME) regularizer, as a nonconvex regularizer, o…
A Variable Smoothing for Weakly Convex Composite Minimization with Manifold Constraint via Parametrization
Keita Kume, Isao Yamada
In this paper, we address a manifold constrained nonsmooth optimization problem involving the composition of a weakly convex function and a smooth mapping under the availability of…
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…
Generalized Left-Localized Cayley Parametrization for Optimization with Orthogonality Constraints
Kieta Kume, Isao Yamada
We present a reformulation of optimization problems over the Stiefel manifold by using a Cayley-type transform, named the generalized left-localized Cayley transform, for the Stief…
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…
Adaptive Localized Cayley Parametrization for Optimization over Stiefel Manifold
Keita Kume, Isao Yamada
We present an adaptive parametrization strategy for optimization problems over the Stiefel manifold by using generalized Cayley transforms to utilize powerful Euclidean optimizatio…