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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

Despite the growing interest in designing truly interactive hyperparameter optimization (HPO) methods, to date, only a few allow to include human feedback. Existing interactive Bayesian optimization (BO) methods incorporate human beliefs by…

Machine Learning · Computer Science 2025-05-26 Jonas Seng , Fabrizio Ventola , Zhongjie Yu , Kristian Kersting

Bayesian Optimization (BO) is a class of surrogate-based, sample-efficient algorithms for optimizing black-box problems with small evaluation budgets. The BO pipeline itself is highly configurable with many different design choices…

Machine Learning · Computer Science 2023-07-03 Carolin Benjamins , Elena Raponi , Anja Jankovic , Carola Doerr , Marius Lindauer

The optimization of expensive-to-evaluate black-box functions is prevalent in various scientific disciplines. Bayesian optimization is an automatic, general and sample-efficient method to solve these problems with minimal knowledge of the…

Machine Learning · Computer Science 2024-02-20 Carl Hvarfner , Frank Hutter , Luigi Nardi

Black-box zero-th order optimization is a central primitive for applications in fields as diverse as finance, physics, and engineering. In a common formulation of this problem, a designer sequentially attempts candidate solutions, receiving…

Machine Learning · Computer Science 2024-07-08 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

We propose to use Bayesian optimization (BO) to improve the efficiency of the design selection process in clinical trials. BO is a method to optimize expensive black-box functions, by using a regression as a surrogate to guide the search.…

Methodology · Statistics 2021-05-20 Jakob Richter , Tim Friede , Jörg Rahnenführer

Automatic Machine Learning (Auto-ML) systems tackle the problem of automating the design of prediction models or pipelines for data science. In this paper, we present Lifelong Bayesian Optimization (LBO), an online, multitask Bayesian…

Machine Learning · Statistics 2019-06-24 Yao Zhang , James Jordon , Ahmed M. Alaa , Mihaela van der Schaar

Mobile networks require safe optimization to adapt to changing conditions in traffic demand and signal transmission quality, in addition to improving service performance metrics. With the increasing complexity of emerging mobile networks,…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Alina Castell Blasco , Maxime Bouton

Bayesian Optimization (BO) is widely used for optimizing expensive black-box functions, particularly in hyperparameter tuning. However, standard BO assumes access to precise objective values, which may be unavailable, noisy, or unreliable…

Machine Learning · Statistics 2025-10-07 Tunde Fahd Egunjobi

Bayesian Optimization (BO) is a widely-used method for optimizing expensive-to-evaluate black-box functions. Traditional BO assumes that the learner has full control over all query variables without additional constraints. However, in many…

Machine Learning · Computer Science 2024-12-23 Vu Viet Hoang , Quoc Anh Hoang Nguyen , Hung Tran The

Bayesian methods lie at the heart of modern data science and provide a powerful scaffolding for estimation in data-constrained settings and principled quantification and propagation of uncertainty. Yet in many real-world use cases where…

Data Structures and Algorithms · Computer Science 2026-03-20 Sitan Chen , Jingqiu Ding , Mahbod Majid , Walter McKelvie

Bayesian optimization has emerged as a highly effective tool for the safe online optimization of systems, due to its high sample efficiency and noise robustness. To further enhance its efficiency, reduced physical models of the system can…

Machine Learning · Computer Science 2024-06-18 Jannis O. Lübsen , Christian Hespe , Annika Eichler

This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

Machine Learning · Statistics 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom

Many control problems require repeated tuning and adaptation of controllers across distinct closed-loop tasks, where data efficiency and adaptability are critical. We propose a hierarchical Bayesian optimization (BO) framework that is…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Sebastian Hirt , Lukas Theiner , Maik Pfefferkorn , Rolf Findeisen

Bayesian optimization (BO) has become a popular strategy for global optimization of expensive real-world functions. Contrary to a common expectation that BO is suited to optimizing black-box functions, it actually requires domain knowledge…

Machine Learning · Computer Science 2024-08-06 Zi Wang , George E. Dahl , Kevin Swersky , Chansoo Lee , Zachary Nado , Justin Gilmer , Jasper Snoek , Zoubin Ghahramani

We consider derivative-free black-box global optimization of expensive noisy functions, when most of the randomness in the objective is produced by a few influential scalar random inputs. We present a new Bayesian global optimization…

Machine Learning · Computer Science 2016-02-23 Saul Toscano-Palmerin , Peter I. Frazier

In discrete-variable black-box optimization, the number of candidate solutions grows combinatorially, while each evaluation is often expensive. Therefore, it is important to identify promising solutions efficiently within a limited number…

Quantum Physics · Physics 2026-05-12 Reo Shikanai , Masayuki Ohzeki

We consider the problem of optimizing expensive black-box functions over high-dimensional combinatorial spaces which arises in many science, engineering, and ML applications. We use Bayesian Optimization (BO) and propose a novel surrogate…

Machine Learning · Computer Science 2023-03-06 Aryan Deshwal , Sebastian Ament , Maximilian Balandat , Eytan Bakshy , Janardhan Rao Doppa , David Eriksson

Graph-structured data are central to many scientific and industrial applications where the goal is to optimize expensive black-box objectives defined over graph structures or node configurations -- as seen in molecular design, supply…

Optimization and Control · Mathematics 2026-04-22 Yilin Xie , Shiqiang Zhang , Jixiang Qing , Ruth Misener , Calvin Tsay

Bayesian optimization (BO) is a sample-efficient method and has been widely used for optimizing expensive black-box functions. Recently, there has been a considerable interest in BO literature in optimizing functions that are affected by…

Machine Learning · Computer Science 2023-12-22 Xiaobin Huang , Lei Song , Ke Xue , Chao Qian
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