A multiobjective optimization problem is simplicial if the Pareto set and front are
homeomorphic to a simplex and, under the homeomorphisms, each face of the simplex …

The condition when the Nash equilibrium set has a simple topological structure is presented.
Specifically, we first define the terms 'weakly simplicial'and 'simplicial'for the Nash …

A multi-objective optimization problem is $ C^ r $ weakly simplicial if there exists a $ C^ r $
surjection from a simplex onto the Pareto set/front such that the image of each subsimplex is …

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

In solving a multi-objective optimization problem by scalarization techniques, solutions to a
scalarized problem are, in general, weakly efficient rather than efficient to the original …

B\'ezier simplex fitting algorithms have been recently proposed to approximate the Pareto
set/front of multi-objective continuous optimization problems. These new methods have …

抄録 Elastic Net はスパースモデリングの基本的な手法であり, そのハイパーパラメタチューニング
は, ベジエ曲線の高次元拡張であるベジエ単体という幾何図形を利用して効率化できることが示唆 …