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In many high-throughput experimental design settings, such as those common in biochemical engineering, batched queries are more cost effective than one-by-one sequential queries. Furthermore, it is often not possible to directly choose…

Machine Learning · Computer Science 2019-04-18 Kevin K. Yang , Yuxin Chen , Alycia Lee , Yisong Yue

Bayesian optimization (BO) is a class of sample-efficient global optimization methods, where a probabilistic model conditioned on previous observations is used to determine future evaluations via the optimization of an acquisition function.…

Machine Learning · Computer Science 2020-06-22 Eric Hans Lee , David Eriksson , Bolong Cheng , Michael McCourt , David Bindel

Bayesian optimisation (BO) is a surrogate-based optimisation technique that efficiently solves expensive black-box functions with small evaluation budgets. Recent studies consider trust regions to improve the scalability of BO approaches…

Neural and Evolutionary Computing · Computer Science 2025-11-04 Kokila Kasuni Perera , Frank Neumann , Aneta Neumann

This paper describes a general-purpose extension of max-value entropy search, a popular approach for Bayesian Optimisation (BO). A novel approximation is proposed for the information gain -- an information-theoretic quantity central to…

Machine Learning · Computer Science 2021-10-27 Henry B. Moss , David S. Leslie , Javier Gonzalez , Paul Rayson

In this paper we propose DKIBO, a Bayesian optimization (BO) algorithm that accommodates domain knowledge to tune exploration in the search space. Bayesian optimization has recently emerged as a sample-efficient optimizer for many…

Artificial Intelligence · Computer Science 2023-11-28 Zikai Xie , Xenophon Evangelopoulos , Joseph Thacker , Andrew Cooper

Bayesian optimization is a powerful optimization tool for problems where native first-order derivatives are unavailable. Recently, constrained Bayesian optimization (CBO) has been applied to many engineering applications where constraints…

Optimization and Control · Mathematics 2024-03-21 J. Wang , C. G. Petra , J. L. Peterson

Bayesian optimization (BO) is a popular method for optimizing expensive-to-evaluate black-box functions. BO budgets are typically given in iterations, which implicitly assumes each evaluation has the same cost. In fact, in many BO…

Machine Learning · Computer Science 2021-06-14 Eric Hans Lee , David Eriksson , Valerio Perrone , Matthias Seeger

Bayesian optimization (BO) methods are useful for optimizing functions that are expensive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the…

Machine Learning · Statistics 2020-02-04 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

Recently, multi-fidelity Bayesian optimization (MFBO) has been successfully applied to many engineering design optimization problems, where the cost of high-fidelity simulations and experiments can be prohibitive. However, challenges remain…

Numerical Analysis · Mathematics 2025-10-14 Jingyi Wang , Nai-Yuan Chiang , Tucker Hartland , J. Luc Peterson , Jerome Solberg , Cosmin G. Petra

Bayesian Optimization (BO) methods are useful for optimizing functions that are expen- sive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the…

Machine Learning · Statistics 2020-02-04 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

Bayesian Optimization (BO) has become a core method for solving expensive black-box optimization problems. While much research focussed on the choice of the acquisition function, we focus on online length-scale adaption and the choice of…

Machine Learning · Computer Science 2016-12-12 Kim Peter Wabersich , Marc Toussaint

Bayesian optimization (BO) is a prominent approach to optimizing expensive-to-evaluate black-box functions. The massive computational capability of edge devices such as mobile phones, coupled with privacy concerns, has led to a surging…

Machine Learning · Computer Science 2020-10-23 Zhongxiang Dai , Kian Hsiang Low , Patrick Jaillet

Bayesian optimization (BO) is a powerful approach for optimizing complex and expensive-to-evaluate black-box functions. Its importance is underscored in many applications, notably including hyperparameter tuning, but its efficacy depends on…

Machine Learning · Computer Science 2024-03-11 Tennison Liu , Nicolás Astorga , Nabeel Seedat , Mihaela van der Schaar

The need to collect data via expensive measurements of black-box functions is prevalent across science, engineering and medicine. As an example, hyperparameter tuning of a large AI model is critical to its predictive performance but is…

Machine Learning · Computer Science 2025-05-19 Takuya Kanazawa

Bayesian optimisation (BO) is a standard approach for sample-efficient global optimisation of expensive black-box functions, yet its scalability to high dimensions remains challenging. Here, we investigate nonlinear dimensionality reduction…

Optimization and Control · Mathematics 2025-10-20 Luo Long , Coralia Cartis , Paz Fink Shustin

Optimizing expensive-to-evaluate black-box functions of discrete (and potentially continuous) design parameters is a ubiquitous problem in scientific and engineering applications. Bayesian optimization (BO) is a popular, sample-efficient…

Machine Learning · Computer Science 2022-10-20 Samuel Daulton , Xingchen Wan , David Eriksson , Maximilian Balandat , Michael A. Osborne , Eytan Bakshy

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

Machine Learning · Computer Science 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

Optimizing expensive black-box objectives over mixed search spaces is a common challenge across the natural sciences. Bayesian optimization (BO) offers sample-efficient strategies through probabilistic surrogate models and acquisition…

Machine Learning · Computer Science 2026-04-10 Yuhao Zhang , Ti John , Matthias Stosiek , Patrick Rinke

Bayesian optimization (BO) algorithms form a class of surrogate-based heuristics, aimed at efficiently computing high-quality solutions for numerical black-box optimization problems. The BO pipeline is highly modular, with different design…

Machine Learning · Computer Science 2022-11-18 Carolin Benjamins , Anja Jankovic , Elena Raponi , Koen van der Blom , Marius Lindauer , Carola Doerr

Bayesian Optimization (BO) is a popular framework for optimizing black-box functions. Despite its effectiveness, BO is often inefficient for high-dimensional problems due to the exponential growth of the search space, heterogeneity of the…

Optimization and Control · Mathematics 2026-05-08 Sourav Das , Debjani Chakraborty , Pabitra Mitra