This paper presents an overview of the research progress in deterministic global
optimization during the last decade (1998–2008). It covers the areas of twice continuously …

The aim of this article is to give a survey of some basic theory of semi-infinite programming.
In particular, we discuss various approaches to derivations of duality, discretization, and first …

A semi-infinite programming problem is an optimization problem in which finitely many
variables appear in infinitely many constraints. This model naturally arises in an abundant …

We develop fast algorithms and robust software for convex optimization of two-layer neural
networks with ReLU activation functions. Our work leverages a convex re-formulation of the …

A new approach for robust fixed-order H∞ controller design by convex optimization is
proposed. Linear time-invariant single-input single-output systems represented by …

We address a central theme of empirical model building: the incorporation of first-principles
information in a data-driven model-building process. By enabling modelers to leverage all …

This paper deals with multiobjective semi-infinite programming problems on Hadamard
manifolds. We establish the sufficient optimality criteria of the considered problem under …

A new method for robust fixed-order H∞ controller design by convex optimization for
multivariable systems is investigated. Linear Time-Invariant Multi-Input Multi-Output (LTI …

This paper is devoted to the study of a class of multiobjective semi-infinite programming
problems on Hadamard manifolds (in short,(MOSIP-HM)). We derive some alternative …

In this study, an interval full-infinite mixed-integer municipal-scale energy model (IFMI-MEM)
is developed for planning energy systems of Beijing. IFMI-MEM is based on an integration of …