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Bayesian Optimization (BO) is a foundational strategy in the field of engineering design optimization for efficiently handling black-box functions with many constraints and expensive evaluations. This paper introduces a fast and accurate BO…

Computational Engineering, Finance, and Science · Computer Science 2024-04-09 Rosen , Yu , Cyril Picard , Faez Ahmed

Optimizing an expensive-to-query function is a common task in science and engineering, where it is beneficial to keep the number of queries to a minimum. A popular strategy is Bayesian optimization (BO), which leverages probabilistic models…

Machine Learning · Computer Science 2019-07-05 Willie Neiswanger , Kirthevasan Kandasamy , Barnabas Poczos , Jeff Schneider , Eric Xing

Dynamic pricing is the practice of adjusting the selling price of a product to maximize a firm's revenue by responding to market demand. The literature typically distinguishes between two settings: infinite inventory, where the firm has…

Machine Learning · Computer Science 2025-10-15 Anush Anand , Pranav Agrawal , Tejas Bodas

Preferential Bayesian optimization (PBO) is a framework for optimizing a decision-maker's latent preferences over available design choices. While preferences often involve multiple conflicting objectives, existing work in PBO assumes that…

Machine Learning · Computer Science 2024-06-24 Raul Astudillo , Kejun Li , Maegan Tucker , Chu Xin Cheng , Aaron D. Ames , Yisong Yue

Bayesian optimization (BO) is a leading method for optimizing expensive black-box optimization and has been successfully applied across various scenarios. However, BO suffers from the curse of dimensionality, making it challenging to scale…

Machine Learning · Computer Science 2025-04-03 Vu Viet Hoang , Hung The Tran , Sunil Gupta , Vu Nguyen

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) is a popular algorithm for solving challenging optimization tasks. It is designed for problems where the objective function is expensive to evaluate, perhaps not available in exact form, without gradient…

Machine Learning · Statistics 2018-08-22 Umberto Noè , Dirk Husmeier

Bayesian optimization (BO) is a typical approach to solve expensive optimization problems. In each iteration of BO, a Gaussian process(GP) model is trained using the previously evaluated solutions; then next candidate solutions for…

Neural and Evolutionary Computing · Computer Science 2022-06-23 Jixiang Chen , Fu Luo , Zhenkun Wang

Bayesian optimisation (BO) uses probabilistic surrogate models - usually Gaussian processes (GPs) - for the optimisation of expensive black-box functions. At each BO iteration, the GP hyperparameters are fit to previously-evaluated data by…

Machine Learning · Computer Science 2021-05-04 George De Ath , Richard Everson , Jonathan Fieldsend

Bayesian optimization (BO) is a powerful paradigm for optimizing expensive black-box functions. Traditional BO methods typically rely on separate hand-crafted acquisition functions and surrogate models for the underlying function, and often…

Machine Learning · Computer Science 2025-07-10 Fengxue Zhang , Yuxin Chen

Bayesian Optimization (BO) is an effective method for optimizing expensive-to-evaluate black-box functions with a wide range of applications for example in robotics, system design and parameter optimization. However, scaling BO to problems…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Lukas P. Fröhlich , Edgar D. Klenske , Christian G. Daniel , Melanie N. Zeilinger

Bayesian optimization (BO ) is an effective method for optimizing expensive-to-evaluate black-box functions. While high-dimensional problems can be particularly challenging, due to the multitude of parameter choices and the potentially high…

Machine Learning · Computer Science 2025-04-09 Erik Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

Existing high-dimensional Bayesian optimization (BO) methods aim to overcome the curse of dimensionality by carefully encoding structural assumptions, from locality to sparsity to smoothness, into the optimization procedure. Surprisingly,…

Machine Learning · Computer Science 2026-04-10 Colin Doumont , Donney Fan , Natalie Maus , Jacob R. Gardner , Henry Moss , Geoff Pleiss

Bayesian optimization (BO) is a sequential approach for optimizing black-box objective functions using zeroth-order noisy observations. In BO, Gaussian processes (GPs) are employed as probabilistic surrogate models to estimate the objective…

Machine Learning · Computer Science 2025-04-02 Dongwon Kim , Matteo Zecchin , Sangwoo Park , Joonhyuk Kang , Osvaldo Simeone

Discovering optimal designs through sequential data collection is essential in many real-world applications. While Bayesian Optimization (BO) has achieved remarkable success in this setting, growing attention has recently turned to…

Machine Learning · Computer Science 2026-04-22 Chih-Yu Chang , Qiyuan Chen , Tianhan Gao , David Fenning , Chinedum Okwudire , Neil Dasgupta , Wei Lu , Raed Al Kontar

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 (BO) is a widely used approach for blackbox optimization that leverages a Gaussian process (GP) model and an acquisition function to guide future sampling. While effective in low-dimensional settings, BO faces…

Machine Learning · Computer Science 2025-11-26 Pavankumar Koratikere , Leifur Leifsson

Bayesian optimization (BO) is a popular paradigm for global optimization of expensive black-box functions, but there are many domains where the function is not completely a black-box. The data may have some known structure (e.g. symmetries)…

Machine Learning · Computer Science 2022-12-08 Samuel Kim , Peter Y. Lu , Charlotte Loh , Jamie Smith , Jasper Snoek , Marin Soljačić

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 is a class of data efficient model based algorithms typically focused on global optimization. We consider the more general case where a user is faced with multiple problems that each need to be optimized conditional on…

Machine Learning · Statistics 2020-11-04 Michael Pearce , Janis Klaise , Matthew Groves