activity
20182026
most citedA Two-phase Framework with a Bézier Simplex-based Interpolation Method for Computationally Expensive Multi-objective Optimization

3 citations · 7 across the 7 of their papers we have counts for

collaborators
Showing math.OCShow all

6 papers · 1 filter

math.OC2026

Distributionally robust optimization for recommendation selection

Tomoya Yanagi, Shunnosuke Ikeda, Ken Kobayashi +1

Recommender systems play an essential role in online services by providing personalized item lists to support users' decision-making processes. While collaborative filtering method…

math.OC2023

Inverse-Optimization-Based Uncertainty Set for Robust Linear Optimization

Ayaka Ueta, Mirai Tanaka, Ken Kobayashi +1

We consider solving linear optimization (LO) problems with uncertain objective coefficients. For such problems, we often employ robust optimization (RO) approaches by introducing a…

math.OC20221 cited

Bézier Flow: a Surface-wise Gradient Descent Method for Multi-objective Optimization

Akiyoshi Sannai, Yasunari Hikima, Ken Kobayashi +2

In this paper, we propose a strategy to construct a multi-objective optimization algorithm from a single-objective optimization algorithm by using the Bézier simplex model. Also, w…

math.OC20223 cited

A Two-phase Framework with a Bézier Simplex-based Interpolation Method for Computationally Expensive Multi-objective Optimization

Ryoji Tanabe, Youhei Akimoto, Ken Kobayashi +3

This paper proposes a two-phase framework with a Bézier simplex-based interpolation method (TPB) for computationally expensive multi-objective optimization. The first phase in TPB…

math.OC20202 cited

Bilevel Cutting-plane Algorithm for Solving Cardinality-constrained Mean-CVaR Portfolio Optimization Problems

Ken Kobayashi, Yuichi Takano, Kazuhide Nakata

This paper studies mean-risk portfolio optimization models using the conditional value-at-risk (CVaR) as a risk measure. We also employ a cardinality constraint for limiting the nu…

math.OC2018

Bezier Simplex Fitting: Describing Pareto Fronts of Simplicial Problems with Small Samples in Multi-objective Optimization

Ken Kobayashi, Naoki Hamada, Akiyoshi Sannai +3

Multi-objective optimization problems require simultaneously optimizing two or more objective functions. Many studies have reported that the solution set of an M-objective optimiza…