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Bayesian optimization (BO) is a popular approach for sample-efficient optimization of black-box objective functions. While BO has been successfully applied to a wide range of scientific applications, traditional approaches to…

Machine Learning · Computer Science 2023-05-04 Natalie Maus , Kaiwen Wu , David Eriksson , Jacob Gardner

Bayesian optimization is a sample-efficient approach to global optimization that relies on theoretically motivated value heuristics (acquisition functions) to guide its search process. Fully maximizing acquisition functions produces the…

Machine Learning · Statistics 2018-12-04 James T. Wilson , Frank Hutter , Marc Peter Deisenroth

Bayesian optimization (BO) is a popular approach for expensive black-box optimization, with applications including parameter tuning, experimental design, robotics. BO usually models the objective function by a Gaussian process (GP), and…

Machine Learning · Statistics 2020-01-22 Chao Qian , Hang Xiong , Ke Xue

Bayesian optimization (BO) is a popular method to optimize expensive black-box functions. It efficiently tunes machine learning algorithms under the implicit assumption that hyperparameter evaluations cost approximately the same. In…

Machine Learning · Computer Science 2020-11-25 Gauthier Guinet , Valerio Perrone , Cédric Archambeau

Bayesian Optimization (BO) is a powerful, sample-efficient technique to optimize expensive-to-evaluate functions. Each of the BO components, such as the surrogate model, the acquisition function (AF), or the initial design, is subject to a…

Bayesian optimization (BO) is an efficient method for optimizing expensive black-box functions. In real-world applications, BO often faces a major problem of missing values in inputs. The missing inputs can happen in two cases. First, the…

Machine Learning · Computer Science 2020-06-22 Phuc Luong , Dang Nguyen , Sunil Gupta , Santu Rana , Svetha Venkatesh

Optimizing objectives under constraints, where both the objectives and constraints are black box functions, is a common scenario in real-world applications such as scientific experimental design, design of medical therapies, and industrial…

Machine Learning · Computer Science 2023-10-16 Fengxue Zhang , Zejie Zhu , Yuxin Chen

Bayesian optimization is a powerful global optimization technique for expensive black-box functions. One of its shortcomings is that it requires auxiliary optimization of an acquisition function at each iteration. This auxiliary…

Machine Learning · Statistics 2014-02-28 Ziyu Wang , Babak Shakibi , Lin Jin , Nando de Freitas

Bayesian Optimization (BO) is a powerful method for optimizing black-box functions by combining prior knowledge with ongoing function evaluations. BO constructs a probabilistic surrogate model of the objective function given the covariates,…

Machine Learning · Statistics 2025-08-26 Roi Naveiro , Becky Tang

Bayesian optimization (BO) is a powerful paradigm for derivative-free global optimization of a black-box objective function (BOF) that is expensive to evaluate. However, the overhead of BO can still be prohibitive for problems with highly…

Machine Learning · Computer Science 2019-12-18 Bin Liu

We propose MUMBO, the first high-performing yet computationally efficient acquisition function for multi-task Bayesian optimization. Here, the challenge is to perform efficient optimization by evaluating low-cost functions somehow related…

Machine Learning · Computer Science 2020-06-23 Henry B. Moss , David S. Leslie , Paul Rayson

Bayesian Optimization (BO) is a popular approach to optimizing expensive-to-evaluate black-box functions. Despite the success of BO, its performance may decrease exponentially as the dimensionality increases. A common framework to tackle…

Machine Learning · Computer Science 2024-12-24 Quoc-Anh Hoang Nguyen , The Hung Tran

Bayesian optimization (BO) is a widely-used sequential method for zeroth-order optimization of complex and expensive-to-compute black-box functions. The existing BO methods assume that the function evaluation (feedback) is available to the…

Machine Learning · Computer Science 2022-06-22 Arun Verma , Zhongxiang Dai , Bryan Kian Hsiang Low

Bayesian optimization (BO) has emerged during the last few years as an effective approach to optimizing black-box functions where direct queries of the objective are expensive. In this paper we consider the case where direct access to the…

Machine Learning · Statistics 2017-04-13 Javier Gonzalez , Zhenwen Dai , Andreas Damianou , Neil D. Lawrence

Bayesian optimization is widely used for optimizing expensive black box functions, but most existing approaches focus on scalar responses. In many scientific and engineering settings the response is functional, varying smoothly over an…

Machine Learning · Computer Science 2026-04-28 Pouya Ahadi , Reza Marzban , Ali Adibi , Kamran Paynabar

Bayesian optimization (BO) is a powerful technology for optimizing noisy expensive-to-evaluate black-box functions, with a broad range of real-world applications in science, engineering, economics, manufacturing, and beyond. In this paper,…

Machine Learning · Computer Science 2024-01-30 Joel A. Paulson , Calvin Tsay

Bayesian Optimization (BO) links Gaussian Process (GP) surrogates with sequential design toward optimizing expensive-to-evaluate black-box functions. Example design heuristics, or so-called acquisition functions, like expected improvement…

Machine Learning · Computer Science 2023-08-16 Ryan B. Christianson , Robert B. Gramacy

Bayesian optimization (BO) is a popular method to optimize costly black-box functions. While traditional BO optimizes each new target task from scratch, meta-learning has emerged as a way to leverage knowledge from related tasks to optimize…

Machine Learning · Computer Science 2024-07-01 Jiarong Pan , Stefan Falkner , Felix Berkenkamp , Joaquin Vanschoren

Bayesian optimization (BO) is a powerful framework for optimizing black-box, expensive-to-evaluate functions. Over the past decade, many algorithms have been proposed to integrate cheaper, lower-fidelity approximations of the objective…

Machine Learning · Computer Science 2023-02-27 Petrus Mikkola , Julien Martinelli , Louis Filstroff , Samuel Kaski

Preferential Bayesian Optimization (PBO) is a sample-efficient method to learn latent user utilities from preferential feedback over a pair of designs. It relies on a statistical surrogate model for the latent function, usually a Gaussian…

Machine Learning · Statistics 2025-03-04 Xinyu Zhang , Daolang Huang , Samuel Kaski , Julien Martinelli