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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…

最优化与控制 · 数学 2025-04-07 Sébastien Le Digabel , Antoine Lesage-Landry , Ludovic Salomon , Christophe Tribes

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…

最优化与控制 · 数学 2022-07-29 Kwassi Joseph Dzahini , Michael Kokkolaras , Sébastien Le Digabel

Solving optimization problems in which functions are blackboxes and variables involve different types poses significant theoretical and algorithmic challenges. Nevertheless, such settings frequently occur in simulation-based engineering…

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…

最优化与控制 · 数学 2019-11-05 Charles Audet , Kwassi Joseph Dzahini , Michael Kokkolaras , Sébastien Le Digabel

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).…

最优化与控制 · 数学 2025-08-01 Charles Audet , Théo Denorme , Youssef Diouane , Sébastien Le Digabel , Christophe Tribes

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…

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

最优化与控制 · 数学 2026-01-20 Stéphane Alarie , Charles Audet , Miguel Diago , Sébastien Le Digabel , Xavier Lebeuf

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…

最优化与控制 · 数学 2021-07-28 Bastien Talgorn , Stéphane Alarie , Michael Kokkolaras

Solving constrained optimization problems by multi-objective evolutionary algorithms has scored tremendous achievements in the last decade. Standard multi-objective schemes usually aim at minimizing the objective function and also the…

神经与进化计算 · 计算机科学 2015-10-02 Tao Xu , Jun He

We propose a novel constraint-handling technique for the covariance matrix adaptation evolution strategy (CMA-ES). The proposed technique is aimed at solving explicitly constrained black-box continuous optimization problems, in which the…

神经与进化计算 · 计算机科学 2022-05-11 Naoki Sakamoto , Youhei Akimoto

We present a novel adaptive optimization algorithm for black-box multi-objective optimization problems with binary constraints on the foundation of Bayes optimization. Our method is based on probabilistic regression and classification…

机器学习 · 统计学 2021-03-01 Raoul Heese , Michael Bortz

In this work, we consider multiobjective optimization problems with both bound constraints on the variables and general nonlinear constraints, where objective and constraint function values can only be obtained by querying a black box.…

最优化与控制 · 数学 2022-04-15 Giampaolo Liuzzi , Stefano Lucidi

This paper studies the problem of distributed multi-agent Bayesian optimization with both coupled black-box constraints and known affine constraints. A primal-dual distributed algorithm is proposed that achieves similar regret/violation…

机器学习 · 计算机科学 2023-10-03 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Constraint violation has been a building block to design evolutionary multi-objective optimization algorithms for solving constrained multi-objective optimization problems. However, it is not uncommon that the constraint violation is hardly…

神经与进化计算 · 计算机科学 2022-05-31 Shuang Li , Ke Li , Wei Li

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…

最优化与控制 · 数学 2024-03-21 K. J. Dzahini , S. M. Wild

Constrained multiobjective optimization has gained much interest in the past few years. However, constrained multiobjective optimization problems (CMOPs) are still unsatisfactorily understood. Consequently, the choice of adequate CMOPs for…

神经与进化计算 · 计算机科学 2023-02-07 Aljoša Vodopija , Tea Tušar , Bogdan Filipič

Direct Multisearch (DMS) is a well-established class of methods for multiobjective derivative-free optimization, where constraints are addressed by an extreme barrier approach, only evaluating feasible points. In this work, we propose a…

最优化与控制 · 数学 2025-08-14 Everton J. Silva , Ana Luísa Custódio

Evolutionary Algorithms (EAs) are being routinely applied for a variety of optimization tasks, and real-parameter optimization in the presence of constraints is one such important area. During constrained optimization EAs often create…

神经与进化计算 · 计算机科学 2015-04-20 Nikhil Padhye , Pulkit Mittal , Kalyanmoy Deb

In this paper we consider non-smooth convex optimization problems with (possibly) infinite intersection of constraints. In contrast to the classical approach, where the constraints are usually represented as intersection of simple sets,…

最优化与控制 · 数学 2024-01-11 Angelia Nedich , Ion Necoara

Energy systems optimization problems are complex due to strongly non-linear system behavior and multiple competing objectives, e.g. economic gain vs. environmental impact. Moreover, a large number of input variables and different variable…

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