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20152026
most citedBayesian optimization under mixed constraints with a slack-variable augmented Lagrangian

49 citations · 137 across the 24 of their papers we have counts for

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18 papers · 1 filter

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.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★ 1 cited

An Inexact Modified Quasi-Newton Method for Nonsmooth Regularized Optimization

Nathan Allaire, Sébastien Le Digabel, Dominique Orban

We introduce iR2N, a modified proximal quasi-Newton method for minimizing the sum of a smooth function and a lower semi-continuous prox-bounded function , allowing inexact e…

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…

math.OC2025★ 1 cited

Efficient search strategies for constrained multiobjective blackbox optimization

Sébastien Le Digabel, Antoine Lesage-Landry, Ludovic Salomon +1

Multiobjective blackbox optimization deals with problems where the objective and constraint functions are the outputs of a numerical simulation. In this context, no derivatives are…

math.OC2024★ 1 cited

solar: A solar thermal power plant simulator for blackbox optimization benchmarking

Nicolau Andrés-Thió, Charles Audet, Miguel Diago +5

This work introduces solar, a collection of ten optimization problem instances for benchmarking blackbox optimization solvers. The instances present different design aspects of a c…

math.OC2023★ 3 cited

Fidelity and interruption control for expensive constrained multi-fidelity blackbox optimization

Stéphane Alarie, Charles Audet, Miguel Diago +2

This work introduces a novel blackbox optimization algorithm for computationally expensive constrained multi-fidelity problems. When applying a direct search method to such problem…

math.OC2022★ 2 cited

Handling of constraints in multiobjective blackbox optimization

Jean Bigeon, Sébastien Le Digabel, Ludovic Salomon

This work proposes the integration of two new constraint-handling approaches into the blackbox constrained multiobjective optimization algorithm DMulti-MADS, an extension of the Me…

math.OC2021

Hierarchically constrained blackbox optimization

Stéphane Alarie, Charles Audet, Paulin Jacquot +1

In blackbox optimization, evaluation of the objective and constraint functions is time consuming. In some situations, constraint values may be evaluated independently or sequential…

math.OC2021★ 7 cited

Quantifying uncertainty with ensembles of surrogates for blackbox optimization

Charles Audet, Sébastien Le Digabel, Renaud Saltet

This work is in the context of blackbox optimization where the functions defining the problem are expensive to evaluate and where no derivatives are available. A tried and tested t…

math.OC2021★ 9 cited

NOMAD version 4: Nonlinear optimization with the MADS algorithm

Charles Audet, Sébastien Le Digabel, Viviane Rochon Montplaisir +1

NOMAD is software for optimizing blackbox problems. In continuous development since 2001, it constantly evolved with the integration of new algorithmic features published in scient…

math.OC2019★ 2 cited

Optimization of noisy blackboxes with adaptive precision

Stéphane Alarie, Charles Audet, Pierre-Yves Bouchet +1

In derivative-free and blackbox optimization, the objective function is often evaluated through the execution of a computer program seen as a blackbox. It can be noisy, in the sens…

math.OC2019★ 1 cited

StoMADS: Stochastic blackbox optimization using probabilistic estimates

Charles Audet, Kwassi Joseph Dzahini, Michael Kokkolaras +1

This work introduces StoMADS, a stochastic variant of the mesh adaptive direct-search (MADS) algorithm originally developed for deterministic blackbox optimization. StoMADS conside…

math.OC2015★ 46 cited

A Taxonomy of Constraints in Simulation-Based Optimization

Sébastien Le Digabel, Stefan M. Wild

The types of constraints encountered in black-box and simulation-based optimization problems differ significantly from those treated in nonlinear programming. We introduce a charac…