6 papers
A Bregman inertial iteratively regularized extragradient method for bilevel variational inequality problems
Kangming Chen, Atsushi Hori, Ellen H. Fukuda
In this paper, we consider bilevel variational inequality problems, where the feasible set is the solution set of another variational inequality. We propose a Bregman inertial regu…
A Regularized Nikaido-Isoda Function Approach to Multi-Leader-Follower Games
Atsushi Hori, Takayuki Okuno, Ellen H. Fukuda
A multi-leader--follower game (MLFG) is a hierarchical noncooperative game in which leaders compete at the upper level while taking into account the followers' best responses at th…
Second-order sequential optimality conditions for nonlinear semidefinite optimization problems
Huimin Li, Yuya Yamakawa, Ellen H. Fukuda
Sequential optimality conditions play an important role in constrained optimization since they provide necessary conditions without requiring constraint qualifications (CQs). This…
Biobjective optimization with M-convex functions
Ellen H. Fukuda, Satoru Iwata, Itsuki Nakagawa
In this paper, we deal with two ingredients that, as far as we know, have not been combined until now: multiobjective optimization and discrete convex analysis. First, we show that…
Efficient First-Order Optimization on the Pareto Set for Multi-Objective Learning under Preference Guidance
Lisha Chen, Quan Xiao, Ellen Hidemi Fukuda +3
Multi-objective learning under user-specified preference is common in real-world problems such as multi-lingual speech recognition under fairness. In this work, we frame such a pro…
A method for multi-leader-multi-follower games by smoothing the followers' response function
Atsushi Hori, Daisuke Tsuyuguchi, Ellen H. Fukuda
The multi-leader--multi-follower game (MLMFG) involves two or more leaders and followers and serves as a generalization of the Stackelberg game and the single-leader--multi-followe…