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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 available, nor can they be approximated by finite…

Optimization and Control · Mathematics 2025-04-07 Sébastien Le Digabel , Antoine Lesage-Landry , Ludovic Salomon , Christophe Tribes

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 Search (MADS) and Sufficient Decrease Direct Search (SDDS).…

Optimization and Control · Mathematics 2025-08-01 Charles Audet , Théo Denorme , Youssef Diouane , Sébastien Le Digabel , Christophe Tribes

This work proposes the integration of two new constraint-handling approaches into the blackbox constrained multiobjective optimization algorithm DMulti-MADS, an extension of the Mesh Adaptive Direct Search (MADS) algorithm for…

Optimization and Control · Mathematics 2022-04-05 Jean Bigeon , Sébastien Le Digabel , Ludovic Salomon

Black-box optimization problems often require simultaneously optimizing different types of variables, such as continuous, integer, and categorical variables. Unlike integer variables, categorical variables do not necessarily have a…

Neural and Evolutionary Computing · Computer Science 2025-05-22 Ryoki Hamano , Shota Saito , Masahiro Nomura , Kento Uchida , Shinichi Shirakawa

Feeder reconfiguration is a critical operational strategy in power distribution systems. However, existing optimization approaches typically rely on explicit mathematical formulations and analytical models, which are often infeasible in…

Systems and Control · Electrical Eng. & Systems 2025-07-23 Junyuan Zheng , Wenlong Shi , Zhaoyu Wang

In this paper, we propose the use of a black-box optimization method called deterministic Mesh Adaptive Direct Search (MADS) algorithm with orthogonal directions (Ortho-MADS) for the selection of hyperparameters of Support Vector Machines…

We consider computationally expensive blackbox optimization problems and present a method that employs surrogate models and concurrent computing at the search step of the mesh adaptive direct search (MADS) algorithm. Specifically, we solve…

Optimization and Control · Mathematics 2021-07-28 Bastien Talgorn , Stéphane Alarie , Michael Kokkolaras

This work introduces StoMADS, a stochastic variant of the mesh adaptive direct-search (MADS) algorithm originally developed for deterministic blackbox optimization. StoMADS considers the unconstrained optimization of an objective function f…

Optimization and Control · Mathematics 2019-11-05 Charles Audet , Kwassi Joseph Dzahini , Michael Kokkolaras , Sébastien Le Digabel

The use of derivative-based solvers to compute solutions to optimal control problems with non-differentiable cost or dynamics often requires reformulations or relaxations that complicate the implementation or increase computational…

Optimization and Control · Mathematics 2021-10-12 Ian McInerney , Lucian Nita , Yuanbo Nie , Alberto Oliveri , Eric C. Kerrigan

This work introduces the StoMADS-PB algorithm for constrained stochastic blackbox optimization, which is an extension of the mesh adaptive direct-search (MADS) method originally developed for deterministic blackbox optimization under…

Optimization and Control · Mathematics 2022-07-29 Kwassi Joseph Dzahini , Michael Kokkolaras , Sébastien Le Digabel

Deep neural networks are getting larger. Their implementation on edge and IoT devices becomes more challenging and moved the community to design lighter versions with similar performance. Standard automatic design tools such as…

Machine Learning · Statistics 2023-01-18 Dounia Lakhmiri , Mahdi Zolnouri , Vahid Partovi Nia , Christophe Tribes , Sébastien Le Digabel

High-dimensional classification has become an increasingly important problem. In this paper we propose a "Multivariate Adaptive Stochastic Search" (MASS) approach which first reduces the dimension of the data space and then applies a…

Applications · Statistics 2010-10-08 Tian Siva Tian , Gareth M. James , Rand R. Wilcox

The work presented here is motivated by the development of StoDARS, a framework for large-scale stochastic blackbox optimization that not only is both an algorithmic and theoretical extension of the stochastic directional direct-search…

Optimization and Control · Mathematics 2024-03-21 K. J. Dzahini , S. M. Wild

This paper proposes a way to combine the Mesh Adaptive Direct Search (MADS) algorithm with the Cross-Entropy (CE) method for non smooth constrained optimization. The CE method is used as a Search step by the MADS algorithm. The result of…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Romain Couderc , Jean Bigeon

A mathematical framework for modelling constrained mixed-variable optimization problems is presented in a blackbox optimization context. The framework introduces a new notation and allows solution strategies. The notation framework allows…

Optimization and Control · Mathematics 2022-04-05 Charles Audet , Edward Hallé-Hannan , Sébastien Le Digabel

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 blackbox optimization problems with general inequality and…

Optimization and Control · Mathematics 2026-01-29 Charles Audet , Andrea Brilli , Youssef Diouane , Sébastien Le Digabel , Everton J. Silva , Christophe Tribes

Rather than obtaining a single good solution for a given optimization problem, users often seek alternative design choices, because the best-found solution may perform poorly with respect to additional objectives or constraints that are…

Neural and Evolutionary Computing · Computer Science 2025-08-06 Maria Laura Santoni , Christoph Dürr , Carola Doerr , Mike Preuss , Elena Raponi

This study targets the mixed-integer black-box optimization (MI-BBO) problem where continuous and integer variables should be optimized simultaneously. The CMA-ES, our focus in this study, is a population-based stochastic search method that…

Neural and Evolutionary Computing · Computer Science 2023-01-13 Ryoki Hamano , Shota Saito , Masahiro Nomura , Shinichi Shirakawa

In this paper, we introduce the quantum adaptive distribution search (QuADS), a quantum continuous optimization algorithm that integrates Grover adaptive search (GAS) with the covariance matrix adaptation - evolution strategy (CMA-ES), a…

Quantum Physics · Physics 2024-07-08 Kohei Morimoto , Yusuke Takase , Kosuke Mitarai , Keisuke Fujii

The covariance matrix adaptation evolution strategy (CMA-ES) is an efficient continuous black-box optimization method. The CMA-ES possesses many attractive features, including invariance properties and a well-tuned default hyperparameter…

Neural and Evolutionary Computing · Computer Science 2023-05-02 Yohei Watanabe , Kento Uchida , Ryoki Hamano , Shota Saito , Masahiro Nomura , Shinichi Shirakawa
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