collaborators

8 papers

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

Benchmarking Bilevel Derivative-Free Optimization Algorithms

Charles Audet, Valentin Dijon, Youssef Diouane

Bilevel optimization involves an upper-level and a lower-level decision maker. The lower-level optimization problem is nested within the constraints of the upper-level one. A point…

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.OC2026

Multi-fidelity constraints in blackbox optimization

Stéphane Alarie, Charles Audet, Miguel Diago +2

This work studies constrained blackbox optimization problems that cannot be solved in reasonable time due to prohibitive computational costs. This challenge is especially prevalent…

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…