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Bayesian optimization has recently emerged as a popular method for the sample-efficient optimization of expensive black-box functions. However, the application to high-dimensional problems with several thousand observations remains…

Machine Learning · Computer Science 2020-02-26 David Eriksson , Michael Pearce , Jacob R Gardner , Ryan Turner , Matthias Poloczek

Bayesian optimization is a popular method for solving the problem of global optimization of an expensive-to-evaluate black-box function. It relies on a probabilistic surrogate model of the objective function, upon which an acquisition…

Machine Learning · Statistics 2022-06-22 Jungtaek Kim , Seungjin Choi , Minsu Cho

Many real-world optimisation problems such as hyperparameter tuning in machine learning or simulation-based optimisation can be formulated as expensive-to-evaluate black-box functions. A popular approach to tackle such problems is Bayesian…

Machine Learning · Computer Science 2021-05-28 Juan Ungredda , Juergen Branke

Controller tuning based on black-box optimization allows to automatically tune performance-critical parameters w.r.t. mostly arbitrary high-level closed-loop control objectives. However, a comprehensive benchmark of different black-box…

Systems and Control · Electrical Eng. & Systems 2022-11-07 David Stenger , Dirk Abel

Building surrogate models is one common approach when we attempt to learn unknown black-box functions. Bayesian optimization provides a framework which allows us to build surrogate models based on sequential samples drawn from the function…

Machine Learning · Computer Science 2021-09-17 Hengrui Luo , James W. Demmel , Younghyun Cho , Xiaoye S. Li , Yang Liu

Many engineering problems involve the optimization of computationally expensive models for which derivative information is not readily available. The Bayesian optimization (BO) framework is a particularly promising approach for solving…

Optimization and Control · Mathematics 2022-02-10 Joel A. Paulson , Congwen Lu

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

Machine Learning · Computer Science 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

Bayesian optimization (BO) is an effective paradigm for the optimization of expensive-to-sample systems. Standard BO learns the performance of a system $f(x)$ by using a Gaussian Process (GP) model; this treats the system as a black-box and…

Machine Learning · Statistics 2025-01-03 Leonardo D. González , Victor M. Zavala

Bayesian Optimization (BO) has been widely applied to optimize expensive black-box functions while retaining sample efficiency. However, scaling BO to high-dimensional spaces remains challenging. Existing literature proposes performing…

Machine Learning · Computer Science 2025-08-27 Quanlin Chen , Yiyu Chen , Jing Huo , Tianyu Ding , Yang Gao , Yuetong Chen

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

Artificial Intelligence · Computer Science 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

This paper investigates the problem of efficient constrained global optimization of hybrid models that are a composition of a known white-box function and an expensive multi-output black-box function subject to noisy observations, which…

Machine Learning · Statistics 2023-07-31 Congwen Lu , Joel A. Paulson

Bayesian optimization is a class of global optimization techniques. In Bayesian optimization, the underlying objective function is modeled as a realization of a Gaussian process. Although the Gaussian process assumption implies a random…

Statistics Theory · Mathematics 2023-05-08 Rui Tuo , Wenjia Wang

Bayesian optimization provides an effective method to optimize expensive-to-evaluate black box functions. It has been widely applied to problems in many fields, including notably in computer science, e.g. in machine learning to optimize…

Machine Learning · Computer Science 2025-11-18 Mike Diessner , Joseph O'Connor , Andrew Wynn , Sylvain Laizet , Yu Guan , Kevin Wilson , Richard D. Whalley

Bayesian optimisation has gained great popularity as a tool for optimising the parameters of machine learning algorithms and models. Somewhat ironically, setting up the hyper-parameters of Bayesian optimisation methods is notoriously hard.…

Machine Learning · Statistics 2014-07-01 Ziyu Wang , Nando de Freitas

This paper addresses the integration of additional information sources into a Bayesian optimization framework while ensuring that safety constraints are satisfied. The interdependencies between these information sources are modeled using an…

Machine Learning · Computer Science 2025-05-06 Jannis O. Luebsen , Annika Eichler

This paper addresses the Bayesian optimization problem (also referred to as the Bayesian setting of the Gaussian process bandit), where the learner seeks to minimize the regret under a function drawn from a known Gaussian process (GP).…

Machine Learning · Computer Science 2025-12-12 Shogo Iwazaki

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

Machine Learning · Computer Science 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

Black-box problems are common in real life like structural design, drug experiments, and machine learning. When optimizing black-box systems, decision-makers always consider multiple performances and give the final decision by comprehensive…

Machine Learning · Computer Science 2021-01-22 Wenjie Chen , Shengcai Liu , Ke Tang

The aim of black-box optimization is to optimize an objective function within the constraints of a given evaluation budget. In this problem, it is generally assumed that the computational cost for evaluating a point is large; thus, it is…

Machine Learning · Statistics 2019-12-03 Masahiro Nomura , Kenshi Abe

Due to the increasing demand for high performance and cost reduction within the framework of complex system design, numerical optimization of computationally costly problems is an increasingly popular topic in most engineering fields. In…

Optimization and Control · Mathematics 2018-06-12 Julien Pelamatti , Loïc Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin