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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

Bayesian Optimization (BO) is a class of black-box, surrogate-based heuristics that can efficiently optimize problems that are expensive to evaluate, and hence admit only small evaluation budgets. BO is particularly popular for solving…

Machine Learning · Computer Science 2024-06-25 Maria Laura Santoni , Elena Raponi , Renato De Leone , Carola Doerr

Bayesian Optimization is a sample-efficient black-box optimization procedure that is typically applied to problems with a small number of independent objectives. However, in practice we often wish to optimize objectives defined over many…

Machine Learning · Computer Science 2021-10-29 Wesley J. Maddox , Maximilian Balandat , Andrew Gordon Wilson , Eytan Bakshy

We address the problem of optimising the average payoff for a large number of cooperating agents, where the payoff function is unknown and treated as a black box. While standard Bayesian Optimisation (BO) methods struggle with the…

Machine Learning · Computer Science 2025-02-19 Petar Steinberg , Juliusz Ziomek , Matej Jusup , Ilija Bogunovic

In Bayesian optimization, accounting for the importance of the output relative to the input is a crucial yet challenging exercise, as it can considerably improve the final result but often involves inaccurate and cumbersome entropy…

Machine Learning · Computer Science 2020-12-30 Antoine Blanchard , Themistoklis Sapsis

Bayesian optimization (BO) is a successful methodology to optimize black-box functions that are expensive to evaluate. While traditional methods optimize each black-box function in isolation, there has been recent interest in speeding up BO…

Machine Learning · Statistics 2019-09-30 Valerio Perrone , Huibin Shen , Matthias Seeger , Cedric Archambeau , Rodolphe Jenatton

While Bayesian Optimization (BO) is a very popular method for optimizing expensive black-box functions, it fails to leverage the experience of domain experts. This causes BO to waste function evaluations on bad design choices (e.g., machine…

Machine Learning · Computer Science 2021-04-20 Artur Souza , Luigi Nardi , Leonardo B. Oliveira , Kunle Olukotun , Marius Lindauer , Frank Hutter

Bayesian optimization (BO) is a framework for global optimization of expensive-to-evaluate objective functions. Classical BO methods assume that the objective function is a black box. However, internal information about objective function…

Machine Learning · Computer Science 2022-01-04 Raul Astudillo , Peter I. Frazier

In Bayesian optimisation, we often seek to minimise the black-box objective functions that arise in real-world physical systems. A primary contributor to the cost of evaluating such black-box objective functions is often the effort required…

Machine Learning · Computer Science 2024-07-04 Adam X. Yang , Laurence Aitchison , Henry B. Moss

Bayesian optimization (BO) is a sample-efficient approach for tuning design parameters to optimize expensive-to-evaluate, black-box performance metrics. In many manufacturing processes, the design parameters are subject to random input…

Machine Learning · Computer Science 2022-06-06 Samuel Daulton , Sait Cakmak , Maximilian Balandat , Michael A. Osborne , Enlu Zhou , Eytan Bakshy

We consider Bayesian optimization of an expensive-to-evaluate black-box objective function, where we also have access to cheaper approximations of the objective. In general, such approximations arise in applications such as reinforcement…

Machine Learning · Statistics 2016-11-16 Matthias Poloczek , Jialei Wang , Peter I. Frazier

Bayesian optimization (BO) is well known to be sample-efficient for solving black-box problems. However, the BO algorithms can sometimes get stuck in suboptimal solutions even with plenty of samples. Intrinsically, such suboptimal problem…

Machine Learning · Computer Science 2025-01-24 Zhendong Guo , Yew-Soon Ong , Tiantian He , Haitao Liu

Bayesian optimization is a powerful tool for solving real-world optimization tasks under tight evaluation budgets, making it well-suited for applications involving costly simulations or experiments. However, many of these tasks are also…

Machine Learning · Computer Science 2025-06-18 Paolo Ascia , Elena Raponi , Thomas Bäck , Fabian Duddeck

Time-Varying Bayesian Optimization (TVBO) is the go-to framework for optimizing a time-varying, expensive, noisy black-box function $f$. However, most of the asymptotic guarantees offered by TVBO algorithms rely on the assumption that…

Machine Learning · Statistics 2025-10-21 Anthony Bardou , Patrick Thiran

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

Bayesian Optimization is a popular approach for optimizing expensive black-box functions. Its key idea is to use a surrogate model to approximate the objective and, importantly, quantify the associated uncertainty that allows a sequential…

Machine Learning · Statistics 2025-02-05 Haoxian Chen , Henry Lam

Bilevel optimization is characterized by a two-level optimization structure, where the upper-level problem is constrained by optimal lower-level solutions, and such structures are prevalent in real-world problems. The constraint by optimal…

Machine Learning · Computer Science 2025-05-29 Ruth Wan Theng Chew , Quoc Phong Nguyen , Bryan Kian Hsiang Low

The formalism of Bayesian model selection provides a very elegant way of ranking different physical models in terms of how compatible they are with a given set of observed data. However, its practical application is often hampered by the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-19 Nathan Cohen , Jan Hamann , Ameek Malhotra

Bayesian optimization (BO) is a class of global optimization algorithms, suitable for minimizing an expensive objective function in as few function evaluations as possible. While BO budgets are typically given in iterations, this implicitly…

Machine Learning · Computer Science 2020-03-25 Eric Hans Lee , Valerio Perrone , Cedric Archambeau , Matthias Seeger

Bayesian optimization (BO) is widely used for black-box optimization problems, and have been shown to perform well in various real-world tasks. However, most of the existing BO methods aim to learn the optimal solution, which may become…

Machine Learning · Computer Science 2023-10-20 Xiaobin Song , Benben Jiang
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