collaborators

7 papers

math.OC2026

Parallel versions of the mesh adaptive direct search algorithm

Sébastien Le Digabel, Antoine Lesage-Landry, Samuel Mendoza +1

This work surveys the different parallel variants of the mesh adaptive direct search (MADS) algorithm for constrained blackbox optimization. These problems can inherently imply hig…

math.OC2026

Adaptive direct search algorithms with relaxable and quantifiable constraints

Charles Audet, Théo Denorme, Youssef Diouane +2

This work introduces ADS-PB, an extension of the Adaptive Direct Search (ADS) framework for solving constrained blackbox optimization problems. With ADS, iterates progress without…

math.OC2026

Surrogate-based categorical neighborhoods for mixed-variable blackbox optimization

Charles Audet, Youssef Diouane, Edward Hallé-Hannan +2

In simulation-based engineering, design choices are often obtained following the optimization of complex blackbox models. These models frequently involve mixed-variable domains wit…

math.OC2026

A penalty-interior point method combined with MADS for equality and inequality constrained optimization

Charles Audet, Andrea Brilli, Youssef Diouane +3

This work introduces MADS-PIP, an efficient framework that integrates a penalty-interior point strategy into the mesh adaptive direct search (MADS) algorithm for solving nonsmooth…

math.OC2025

Adaptive direct search algorithms for constrained optimization

Charles Audet, Théo Denorme, Youssef Diouane +2

Two families of directional direct search methods have emerged in derivative-free and blackbox optimization (DFO and BBO), each based on distinct principles: Mesh Adaptive Direct S…

math.OC2025

CatMADS: Mesh Adaptive Direct Search for constrained blackbox optimization with categorical variables

Charles Audet, Youssef Diouane, Edward Hallé-Hannan +2

Solving optimization problems in which functions are blackboxes and variables involve different types poses significant theoretical and algorithmic challenges. Nevertheless, such s…