Scientific Research Publishing

The Theory of Vector-Valued Function in Locally Convex Space ()

In this paper, the vector-valued regular functions are extended to the locally convex space. The residues theory of the functions in the locally convex space is achieved. Thereby the Cauchy theory and ...
Scientific Research Publishing

Gap Functions and Error Bounds for Set-Valued Vector Quasi Variational Inequality Problems ()

Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, India. Quasi variational inequality (QVI) problems started with a pioneer work of Bensoussan and Lions in 1973.
IEEE

Generalization Bounds of Multitask Learning From Perspective of Vector-Valued Function Learning

Abstract: In this article, we study the generalization performance of multitask learning (MTL) by considering MTL as a learning process of vector-valued functions (VFs). We will answer two theoretical ...
IEEE

Two-Agent Noncooperative Dynamical Systems With Quadratic Vector-Valued Payoff Functions and Weak Pareto Improvement

Abstract: Definition of the weak Pareto improvement and the trap of weak Pareto improvement are given for noncooperative dynamical systems with vector-valued payoff functions. Specifically, we develop ...