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Surrogate-based optimization relies on so-called infill criteria (acquisition functions) to decide which point to evaluate next. When Kriging is used as the surrogate model of choice (also called Bayesian optimization), one of the most…

Neural and Evolutionary Computing · Computer Science 2020-02-18 Frederik Rehbach , Martin Zaefferer , Boris Naujoks , Thomas Bartz-Beielstein

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) 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 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

The exploration of novel architectures requires physics-based simulation due to a lack of prior experience to start from, which introduces two specific challenges for optimization algorithms: evaluations become more expensive (in time) and…

Machine Learning · Computer Science 2025-04-14 Jasper Bussemaker , Paul Saves , Nathalie Bartoli , Thierry Lefebvre , Björn Nagel

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

Bayesian optimization has proven to be a highly effective methodology for the global optimization of unknown, expensive and multimodal functions. The ability to accurately model distributions over functions is critical to the effectiveness…

Machine Learning · Statistics 2014-06-13 Jasper Snoek , Kevin Swersky , Richard S. Zemel , Ryan P. Adams

Global optimisation to optimise expensive-to-evaluate black-box functions without gradient information. Bayesian optimisation, one of the most well-known techniques, typically employs Gaussian processes as surrogate models, leveraging their…

Machine Learning · Computer Science 2026-03-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

Bayesian optimization has been proposed as a practical and efficient tool through which to tune parameters in many difficult settings. Recently, such techniques have been combined with real-time fMRI to propose a novel framework which turns…

Neurons and Cognition · Quantitative Biology 2016-06-10 Romy Lorenz , Ricardo P Monti , Ines R Violante , Aldo A Faisal , Christoforos Anagnostopoulos , Robert Leech , Giovanni Montana

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

Machine Learning · Statistics 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams

Many real-world optimisation problems such as hyperparameter tuning in machine learning or simulation-based optimisation can be formulated as expensive-to-evaluate black-box functions. A popular approach to tackle such problems is Bayesian…

Machine Learning · Computer Science 2021-05-28 Juan Ungredda , Juergen Branke

We consider the problem of optimizing a grey-box objective function, i.e., nested function composed of both black-box and white-box functions. A general formulation for such grey-box problems is given, which covers the existing grey-box…

Machine Learning · Computer Science 2023-08-03 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

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 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

We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget"…

Optimization and Control · Mathematics 2016-01-06 Ajeet Kumar , Alexander Vladimirsky

Engineering design is traditionally performed by hand: an expert makes design proposals based on past experience, and these proposals are then tested for compliance with certain target specifications. Testing for compliance is performed…

Bayesian global optimization (BGO) is an efficient surrogate-assisted technique for problems involving expensive evaluations. A parallel technique can be used to parallelly evaluate the true-expensive objective functions in one iteration to…

Artificial Intelligence · Computer Science 2022-08-09 Kaifeng Yang , Guozhi Dong , Michael Affenzeller

Bayesian optimization techniques have been successfully applied to robotics, planning, sensor placement, recommendation, advertising, intelligent user interfaces and automatic algorithm configuration. Despite these successes, the approach…

Machine Learning · Statistics 2016-01-12 Ziyu Wang , Frank Hutter , Masrour Zoghi , David Matheson , Nando de Freitas

Bayesian optimisation presents a sample-efficient methodology for global optimisation. Within this framework, a crucial performance-determining subroutine is the maximisation of the acquisition function, a task complicated by the fact that…

Machine Learning · Computer Science 2020-12-18 Antoine Grosnit , Alexander I. Cowen-Rivers , Rasul Tutunov , Ryan-Rhys Griffiths , Jun Wang , Haitham Bou-Ammar

In multi-objective optimization problems, there might exist hidden objectives that are important to the decision-maker but are not being optimized. On the other hand, there might also exist irrelevant objectives that are being optimized but…

Optimization and Control · Mathematics 2022-06-06 Seyed Mahdi Shavarani , Manuel López-Ibáñez , Richard Allmendinger