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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

Bayesian optimization (BO) is a model-based approach to sequentially optimize expensive black-box functions, such as the validation error of a deep neural network with respect to its hyperparameters. In many real-world scenarios, the…

Machine Learning · Statistics 2019-10-17 Valerio Perrone , Iaroslav Shcherbatyi , Rodolphe Jenatton , Cedric Archambeau , Matthias Seeger

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

Machine Learning · Computer Science 2023-11-23 Ryota Ozaki , Kazuki Ishikawa , Youhei Kanzaki , Shinya Suzuki , Shion Takeno , Ichiro Takeuchi , Masayuki Karasuyama

Bayesian optimization (BO) offers an elegant approach for efficiently optimizing black-box functions. However, acquisition criteria demand their own challenging inner-optimization, which can induce significant overhead. Many practical BO…

Machine Learning · Statistics 2024-12-09 Nathan Wycoff , John W. Smith , Annie S. Booth , Robert B. Gramacy

Bayesian Optimization (BO) is an effective approach for global optimization of black-box functions when function evaluations are expensive. Most prior works use Gaussian processes to model the black-box function, however, the use of kernels…

Machine Learning · Computer Science 2023-09-25 Dat Phan-Trong , Hung Tran-The , Sunil Gupta

Bayesian optimization (BO) is a popular method for efficiently inferring optima of an expensive black-box function via a sequence of queries. Existing information-theoretic BO procedures aim to make queries that most reduce the uncertainty…

Machine Learning · Statistics 2022-10-05 Willie Neiswanger , Lantao Yu , Shengjia Zhao , Chenlin Meng , Stefano Ermon

The global optimization of a high-dimensional black-box function under black-box constraints is a pervasive task in machine learning, control, and engineering. These problems are challenging since the feasible set is typically non-convex…

Machine Learning · Computer Science 2021-03-02 David Eriksson , Matthias Poloczek

It is commonly believed that Bayesian optimization (BO) algorithms are highly efficient for optimizing numerically costly functions. However, BO is not often compared to widely different alternatives, and is mostly tested on narrow sets of…

Optimization and Control · Mathematics 2021-10-01 Rodolphe Le Riche , Victor Picheny

Bayesian Optimization (BO) is an effective method for finding the global optimum of expensive black-box functions. However, it is well known that applying BO to high-dimensional optimization problems is challenging. To address this issue, a…

Machine Learning · Statistics 2024-02-06 Lam Ngo , Huong Ha , Jeffrey Chan , Vu Nguyen , Hongyu Zhang

Bayesian Optimisation (BO) is a state-of-the-art global optimisation technique for black-box problems where derivative information is unavailable, and sample efficiency is crucial. However, improving the general scalability of BO has proved…

Optimization and Control · Mathematics 2024-12-13 Luo Long , Coralia Cartis , Paz Fink Shustin

Bayesian optimization (BO) has become an established framework and popular tool for hyperparameter optimization (HPO) of machine learning (ML) algorithms. While known for its sample-efficiency, vanilla BO can not utilize readily available…

Machine Learning · Computer Science 2022-04-26 Carl Hvarfner , Danny Stoll , Artur Souza , Marius Lindauer , Frank Hutter , Luigi Nardi

Bayesian optimisation (BO) is a well-known efficient algorithm for finding the global optimum of expensive, black-box functions. The current practical BO algorithms have regret bounds ranging from $\mathcal{O}(\frac{logN}{\sqrt{N}})$ to…

Machine Learning · Computer Science 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

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

Recent advances in computationally efficient non-myopic Bayesian optimization (BO) improve query efficiency over traditional myopic methods like expected improvement while only modestly increasing computational cost. These advances have…

Machine Learning · Statistics 2021-12-07 Yunxiang Zhang , Xiangyu Zhang , Peter I. Frazier

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) 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) 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 for sequential optimization of expensive black-box functions demonstrated practicality and effectiveness in many real-world settings. Meta-Bayesian optimization (meta-BO) focuses on improving the sample…

We propose a novel Bayesian Optimization approach for black-box functions with an environmental variable whose value determines the tradeoff between evaluation cost and the fidelity of the evaluations. Further, we use a novel approach to…

Machine Learning · Statistics 2018-05-16 Mark McLeod , Michael A. Osborne , Stephen J. Roberts

Bayesian Optimisation (BO) refers to a suite of techniques for global optimisation of expensive black box functions, which use introspective Bayesian models of the function to efficiently search for the optimum. While BO has been applied…

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