The Mesh Adaptive Direct Search algorithm (MADS) algorithm is designed for nonsmooth blackbox optimization problems in which the evaluation of the funct...

Consider a scale that accepts three marbles of different weights. The scale only ranks the marbles, by indicating the heaviest, the lightest and the middle ...

Blackbox optimization typically arises when the functions defining the objective and constraints of an optimization problem are computed through a computer...

The Mesh Adaptive Direct Search (MADS) class of algorithms is designed for nonsmooth optimization, where the objective function and constraints are typical...

The paper answers an open problem introduced by Bezdek and Fodor in 2000. The width of any unit-diameter octagon is shown to be less than or equal to `(\fra...

This paper presents a framework to determine optimal maintenance planning of a fleet of complex and independent systems. They are made up of several major co...

OPAL is a general-purpose system for modeling and solving algorithm optimization problems. OPAL takes an algorithm as input, and as output it suggests para...

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 ...