Accurate measurements of snow water equivalent (SWE) is an important factor in managing water resources for hydroelectric power generation. SWE over a catchm...

In the context of algorithmic parameter optimization, there is much room for efficient usage of computational resources. We consider the OPAL framework in wh...

During alloy and process design, it is often desired to identify regions of design or process variables for which certain calculated functions have optimal v...

The present paper describes the coupling of the Mesh Adaptive Direct Search (MADS) algorithm with the FactSage thermochemical software, which allows to calcu...

The paper proposes a framework for sensitivity analyses of blackbox constrained optimization problems for which Lagrange multipliers are not available. Two s...

We propose a new approach to construct adaptive multiscale orthonormal (AMO) bases of R^<i>N</i> that provide highly sparse signal representations....

The paper answers the three distinct questions of maximizing the perimeter, diameter and area of equilateral unit-width convex polygons. The solution to each...

A positive basis is a minimal set of vectors whose nonnegative linear combinations span the entire space R<i>ⁿ</i>. Interest in positive bases wa...

In this paper we establish the definition of the <i>set of &epsilon;-proper equilibria</i> of a bimatrix game. We define a 0-1 mixed quadratic program to ge...

The main goal of this paper is to bring a contribution in order to facilitate automatic refinement of Bimatrix Game Nash extreme equilibria. We show how maxi...

We introduce the OPAL framework in which the identification of good algorithmic parameters is interpreted as a black box optimization problem whose variables...

Recent advances in coupling novel optimization methods to large-scale computing problems have opened the door to tackling a diverse set of physically realist...

Relationships between the diameter of a set of <i>n</i> points in the plane at mutual distance at least one, the diameter of an equilateral <i>n</i>-gon and ...

This work analyzes constrained black box optimization in which the functions defining the problem are periodic with respect to some or all the variables. We ...

This work studies multi-objective optimization <i>(MOP)</i> of nonsmooth functions subject to general constraints. We first present definitions and optimalit...

A recent paper of Tuy and Hoai-Phuong published in <i>JOGO</i> (2007) 37:557--569 observes that there are errors in the reformulation of a signomial geometr...

<p>The class of Mesh Adaptive Direct Search (MADS) algorithms is designed for the optimization of constrained black-box problems. The purpose of this paper i...

A polygon is said to be <i>simple</i> if the only points of the plane belonging to two of its edges are its vertices. We answer the question of finding, ...

The hexagon and heptagon with unit diameter and maximum sum of Euclidean distances between vertices are determined by enumerating diameter configurations, an...

The purpose of this paper is to introduce a new way of choosing directions for the Mesh Adaptive Direct Search (MADS) class of algorithms. The advantages of...