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Black-box optimization (BBO) can be used to optimize functions whose analytic form is unknown. A common approach to realising BBO is to learn a surrogate model which approximates the target black-box function which can then be solved via…

Machine Learning · Computer Science 2023-02-10 Jonas Nüßlein , Christoph Roch , Thomas Gabor , Jonas Stein , Claudia Linnhoff-Popien , Sebastian Feld

The key idea of Bayesian optimization is replacing an expensive target function with a cheap surrogate model. By selection of an acquisition function for Bayesian optimization, we trade off between exploration and exploitation. The…

Machine Learning · Statistics 2019-02-20 Leonid Matyushin , Alexey Zaytsev , Oleg Alenkin , Andrey Ustuzhanin

Optimization problems with uncertain black-box constraints, modeled by warped Gaussian processes, have recently been considered in the Bayesian optimization setting. This work introduces a new class of constraints in which the same…

Optimization and Control · Mathematics 2020-06-16 Johannes Wiebe , Inês Cecílio , Jonathan Dunlop , Ruth Misener

We propose and analyze a model-based derivative-free (DFO) algorithm for solving bound-constrained optimization problems where the objective function is the composition of a smooth function and a vector of black-box functions. We assume…

Optimization and Control · Mathematics 2024-01-03 Frank E. Curtis , Shima Dezfulian , Andreas Wächter

We consider the problem of offline black-box optimization, where the goal is to discover optimal designs (e.g., molecules or materials) from past experimental data. A key challenge in this setting is data scarcity: in many scientific…

Machine Learning · Computer Science 2026-05-22 Azza Fadhel , The Hung Tran , Trong Nghia Hoang , Jana Doppa

We develop two adaptive discretization algorithms for convex semi-infinite optimization, which terminate after finitely many iterations at approximate solutions of arbitrary precision. In particular, they terminate at a feasible point of…

Optimization and Control · Mathematics 2022-01-14 Jochen Schmid , Miltiadis Poursanidis

The optimization of expensive black-box simulators arises in a myriad of modern scientific and engineering applications. Bayesian optimization provides an appealing solution, by leveraging a fitted surrogate model to guide the selection of…

We propose new sequential simulation-optimization algorithms for general convex optimization via simulation problems with high-dimensional discrete decision space. The performance of each choice of discrete decision variables is evaluated…

Optimization and Control · Mathematics 2022-02-15 Haixiang Zhang , Zeyu Zheng , Javad Lavaei

It is not uncommon that meta-heuristic algorithms contain some intrinsic parameters, the optimal configuration of which is crucial for achieving their peak performance. However, evaluating the effectiveness of a configuration is expensive,…

Neural and Evolutionary Computing · Computer Science 2019-02-01 Ke Li , Zilin Xiang , Kay Chen Tan

Many real-world problems are usually computationally costly and the objective functions evolve over time. Data-driven, a.k.a. surrogate-assisted, evolutionary optimization has been recognized as an effective approach for tackling expensive…

Neural and Evolutionary Computing · Computer Science 2022-11-08 Ke Li , Renzhi Chen , Xin Yao

The paper addresses Bayesian inferences in inverse problems with uncertainty quantification involving a computationally expensive forward map associated with solving a partial differential equations. To mitigate the computational cost, the…

Methodology · Statistics 2023-12-18 A. Galaviz , J. A. Christen , A. Capella

Surrogate models have shown to be an extremely efficient aid in solving engineering problems that require repeated evaluations of an expensive computational model. They are built by sparsely evaluating the costly original model and have…

Machine Learning · Statistics 2022-12-01 M. Moustapha , B. Sudret

Within the framework of complex system design, it is often necessary to solve mixed variable optimization problems, in which the objective and constraint functions can depend simultaneously on continuous and discrete variables.…

Optimization and Control · Mathematics 2020-03-10 Julien Pelamatti , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

There is an abundance of prior research on the optimization of production systems, but there is a research gap when it comes to optimizing which components should be included in a design, and how they should be connected. To overcome this…

Neural and Evolutionary Computing · Computer Science 2024-02-05 N. Paape , J. A. W. M. van Eekelen , M. A. Reniers

Surrogate models - also called emulators - are widely used to facilitate Bayesian inference in settings where computational costs preclude the use of standard posterior inference algorithms. Their deployment is now standard practice across…

Methodology · Statistics 2026-03-17 Andrew Gerard Roberts , Michael C. Dietze , Jonathan H. Huggins

The transition of the power grid requires new technologies and methodologies, which can only be developed and tested in simulations. Especially larger simulation setups with many levels of detail can become quite slow. Therefore, the number…

Signal Processing · Electrical Eng. & Systems 2020-06-23 Stephan Balduin , Tom Westermann , Erika Puiutta

Bayesian optimization (BO) has demonstrated potential for optimizing control performance in data-limited settings, especially for systems with unknown dynamics or unmodeled performance objectives. The BO algorithm efficiently trades-off…

Machine Learning · Computer Science 2022-11-02 Ankush Chakrabarty

The optimization of industrial processes remains a critical challenge, particularly when no mathematical formulation of objective functions or constraints is available. This study addresses this issue by proposing a surrogate-based,…

Computational Engineering, Finance, and Science · Computer Science 2025-07-16 Eider Garate-Perez , Kerman López de Calle-Etxabe , Susana Ferreiro

Benchmark experiments are required to test, compare, tune, and understand optimization algorithms. Ideally, benchmark problems closely reflect real-world problem behavior. Yet, real-world problems are not always readily available for…

Neural and Evolutionary Computing · Computer Science 2020-08-17 Martin Zaefferer , Frederik Rehbach

Addressing real-world optimization challenges requires not only advanced metaheuristics but also continuous refinement of their internal mechanisms. This paper explores the integration of machine learning in the form of neural surrogate…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Tomohiro Harada , Enrique Alba , Gabriel Luque
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