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Bayesian optimization (BO) provides a powerful framework for optimizing black-box, expensive-to-evaluate functions. It is therefore an attractive tool for engineering design problems, typically involving multiple objectives. Thanks to the…

Machine Learning · Computer Science 2024-09-06 Navid Ansari , Alireza Javanmardi , Eyke Hüllermeier , Hans-Peter Seidel , Vahid Babaei

A body of work has been done to automate machine learning algorithm to highlight the importance of model choice. Automating the process of choosing the best forecasting model and its corresponding parameters can result to improve a wide…

Machine Learning · Computer Science 2021-09-02 Nadhir Hassen , Irina Rish

Bayesian optimization (BO) is a popular approach for optimizing expensive-to-evaluate black-box objective functions. An important challenge in BO is its application to high-dimensional search spaces due in large part to the curse of…

Machine Learning · Computer Science 2025-05-27 Wei-Ting Tang , Joel A. Paulson

Design optimization under uncertainty is notoriously difficult when the objective function is expensive to evaluate. State-of-the-art techniques, e.g, stochastic optimization or sampling average approximation, fail to learn exploitable…

Optimization and Control · Mathematics 2019-06-20 Piyush Pandita , Ilias Bilionis , Jitesh Panchal

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

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

Machine Learning · Computer Science 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

Bayesian optimization (BO) is a popular global optimization scheme for sample-efficient optimization in domains with expensive function evaluations. The existing BO techniques are capable of finding a single global optimum solution.…

Optimization and Control · Mathematics 2023-08-08 Yongsheng Mei , Tian Lan , Mahdi Imani , Suresh Subramaniam

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 (BO) is used to find the global optima of black box functions. In this work, we propose a practical BO method of function compositions where the form of the composition is known but the constituent functions are…

Machine Learning · Computer Science 2023-05-02 Kunal Jain , Prabuchandran K. J. , Tejas Bodas

Bayesian optimization (BO) is a sample-efficient method and has been widely used for optimizing expensive black-box functions. Recently, there has been a considerable interest in BO literature in optimizing functions that are affected by…

Machine Learning · Computer Science 2023-12-22 Xiaobin Huang , Lei Song , Ke Xue , Chao Qian

Bayesian optimization (BO) based on Gaussian process models is a powerful paradigm to optimize black-box functions that are expensive to evaluate. While several BO algorithms provably converge to the global optimum of the unknown function,…

Machine Learning · Statistics 2019-04-03 Felix Berkenkamp , Angela P. Schoellig , Andreas Krause

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

Experimental (design) optimization is a key driver in designing and discovering new products and processes. Bayesian Optimization (BO) is an effective tool for optimizing expensive and black-box experimental design processes. While Bayesian…

Machine Learning · Computer Science 2024-02-28 Arun Kumar A , Alistair Shilton , Sunil Gupta , Santu Rana , Stewart Greenhill , Svetha Venkatesh

Bayesian optimization (BO) with Gaussian processes (GP) has become an indispensable algorithm for black box optimization problems. Not without a dash of irony, BO is often considered a black box itself, lacking ways to provide reasons as to…

Bayesian optimization (BO) is a powerful approach to sample-efficient optimization of black-box objective functions. However, the application of BO to areas such as recommendation systems often requires taking the interpretability and…

Machine Learning · Computer Science 2023-03-06 Sulin Liu , Qing Feng , David Eriksson , Benjamin Letham , Eytan Bakshy

Bayesian Optimization (BO) has become a core method for solving expensive black-box optimization problems. While much research focussed on the choice of the acquisition function, we focus on online length-scale adaption and the choice of…

Machine Learning · Computer Science 2016-12-12 Kim Peter Wabersich , Marc Toussaint

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

Many real-world problems can be phrased as a multi-objective optimization problem, where the goal is to identify the best set of compromises between the competing objectives. Multi-objective Bayesian optimization (BO) is a sample efficient…

Machine Learning · Computer Science 2022-10-07 Ben Tu , Axel Gandy , Nikolas Kantas , Behrang Shafei

Bayesian optimization (BO) with Gaussian processes is a powerful methodology to optimize an expensive black-box function with as few function evaluations as possible. The expected improvement (EI) and probability of improvement (PI) are…

Machine Learning · Computer Science 2023-07-06 Takuya Kanazawa

The optimization of expensive black-box functions is ubiquitous in science and engineering. A common solution to this problem is Bayesian optimization (BO), which is generally comprised of two components: (i) a surrogate model and (ii) an…