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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…

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…

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

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

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…

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

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…

最优化与控制 · 数学 2021-10-12 Ian McInerney , Lucian Nita , Yuanbo Nie , Alberto Oliveri , Eric C. Kerrigan

High penetration from volatile renewable energy resources in the grid and the varying nature of loads raise the need for frequent line switching to ensure the efficient operation of electrical distribution networks. Operators must ensure…

系统与控制 · 电气工程与系统科学 2024-11-19 Richard Asiamah , Yuqi Zhou , Ahmed S. Zamzam

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

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

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…

最优化与控制 · 数学 2022-04-05 Jean Bigeon , Sébastien Le Digabel , Ludovic Salomon

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…

应用统计 · 统计学 2010-10-08 Tian Siva Tian , Gareth M. James , Rand R. Wilcox

Computational models in fields such as computational neuroscience are often evaluated via stochastic simulation or numerical approximation. Fitting these models implies a difficult optimization problem over complex, possibly noisy parameter…

机器学习 · 统计学 2017-11-03 Luigi Acerbi , Wei Ji Ma

Model merging has emerged as a cost-effective alternative to training large language models (LLMs) from scratch, enabling researchers to combine pre-trained models into more capable systems without full retraining. Evolutionary approaches…

神经与进化计算 · 计算机科学 2026-05-13 Md. Robiul Islam Niloy

Proportional integral derivative (PID) controllers are important and widely used tools in system control. Tuning of the controller gains is a laborious task, especially for complex systems such as combustion engines. To minimize the time of…

系统与控制 · 计算机科学 2017-06-07 Katerina Henclova

In a distributed storage systems (DSS) with $k$ systematic nodes, robustness against node failure is commonly provided by storing redundancy in a number of other nodes and performing repair mechanism to reproduce the content of the failed…

信息论 · 计算机科学 2018-01-01 Kaveh Mahdaviani , Soheil Mohajer , Ashish Khisti

This work presents a general framework for the operationally driven optimal siting and sizing of battery energy storage systems in power transmission networks, aimed at enhancing their resource adequacy. The approach considers multi-period…

系统与控制 · 电气工程与系统科学 2026-03-05 Ginevra Larroux , Matthieu Jacobs , Keyu Jia , Fabrizio Sossan , Mario Paolone

In recent years, attention has been focused on the relationship between black-box optimiza- tion problem and reinforcement learning problem. In this research, we propose the Mirror Descent Search (MDS) algorithm which is applicable both for…

机器学习 · 计算机科学 2018-05-15 Megumi Miyashita , Shiro Yano , Toshiyuki Kondo

Bilinear Matrix Inequalities (BMIs) are fundamental to control system design but are notoriously difficult to solve due to their nonconvexity. This study addresses BMI-based control optimization problems by adapting and integrating advanced…

系统与控制 · 电气工程与系统科学 2026-01-14 Syue-Cian Lin , Wei-Yu Chiu , Chien-Feng Wu

A mesh refinement method is developed for solving bang-bang optimal control problems using direct collocation. The method starts by finding a solution on a coarse mesh. Using this initial solution, the method then determines automatically…

最优化与控制 · 数学 2019-05-31 Yunus M. Agamawi , William W. Hager , Anil V. Rao
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