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Bayesian Optimization, leveraging Gaussian process models, has proven to be a powerful tool for minimizing expensive-to-evaluate objective functions by efficiently exploring the search space. Extensions such as constrained Bayesian…

Computation · Statistics 2025-06-03 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li

We propose a framework for the configuration and operation of expensive-to-evaluate advanced manufacturing methods, based on Bayesian optimization. The framework unifies a tailored acquisition function, a parallel acquisition procedure, and…

Machine Learning · Computer Science 2023-01-18 Xavier Guidetti , Alisa Rupenyan , Lutz Fassl , Majid Nabavi , John Lygeros

Bayesian optimization is efficient even with a small amount of data and is used in engineering and in science, including biology and chemistry. In Bayesian optimization, a parameterized model with an uncertainty is fitted to explain the…

Machine Learning · Computer Science 2024-12-06 Yujin Taguchi , Yusuke Shibuya , Yusuke Hiki , Takashi Morikura , Takahiro G. Yamada , Akira Funahashi

Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

Machine Learning · Computer Science 2026-05-07 Jesse Schneider , William J. Welch

Bayesian Optimization aims at optimizing an unknown non-convex/concave function that is costly to evaluate. We are interested in application scenarios where concurrent function evaluations are possible. Under such a setting, BO could choose…

Artificial Intelligence · Computer Science 2012-05-02 Javad Azimi , Ali Jalali , Xiaoli Fern

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

Machine Learning · Statistics 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

The popularity of Bayesian optimization methods for efficient exploration of parameter spaces has lead to a series of papers applying Gaussian processes as surrogates in the optimization of functions. However, most proposed approaches only…

Machine Learning · Statistics 2015-10-16 Javier González , Zhenwen Dai , Philipp Hennig , Neil D. Lawrence

Bayesian optimization (BO) has become an effective approach for black-box function optimization problems when function evaluations are expensive and the optimum can be achieved within a relatively small number of queries. However, many…

Machine Learning · Statistics 2018-08-06 Zi Wang , Clement Gehring , Pushmeet Kohli , Stefanie Jegelka

Recently, multi-fidelity Bayesian optimization (MFBO) has been successfully applied to many engineering design optimization problems, where the cost of high-fidelity simulations and experiments can be prohibitive. However, challenges remain…

Numerical Analysis · Mathematics 2025-10-14 Jingyi Wang , Nai-Yuan Chiang , Tucker Hartland , J. Luc Peterson , Jerome Solberg , Cosmin G. Petra

Field experiments and computer simulations are effective but time-consuming methods of measuring the quality of engineered systems at different settings. To reduce the total time required, experimenters may employ Bayesian optimization,…

Machine Learning · Computer Science 2024-04-30 Jiuge Ren , David Sweet

This paper addresses the problem of constrained multi-objective optimization over black-box objective functions with practitioner-specified preferences over the objectives when a large fraction of the input space is infeasible (i.e.,…

Machine Learning · Computer Science 2023-03-24 Alaleh Ahmadianshalchi , Syrine Belakaria , Janardhan Rao Doppa

Asynchronous Bayesian optimization is widely used for gradient-free optimization in domains with independent parallel experiments and varying evaluation times. Existing methods posit that standard acquisitions lead to redundant and repeated…

Machine Learning · Statistics 2026-03-17 Ben Riegler , James Odgers , Vincent Fortuin

Bayesian optimization is an approach to optimizing objective functions that take a long time (minutes or hours) to evaluate. It is best-suited for optimization over continuous domains of less than 20 dimensions, and tolerates stochastic…

Machine Learning · Statistics 2018-07-10 Peter I. Frazier

Bayesian Optimisation (BO) methods seek to find global optima of objective functions which are only available as a black-box or are expensive to evaluate. Such methods construct a surrogate model for the objective function, quantifying the…

Machine Learning · Statistics 2023-01-10 Enrico Crovini , Simon L. Cotter , Konstantinos Zygalakis , Andrew B. Duncan

Recent work has shown constrained Bayesian optimization to be a powerful technique for the optimization of industrial processes. In complex manufacturing processes, the possibility to run extensive sequences of experiments with the goal of…

Systems and Control · Electrical Eng. & Systems 2022-05-12 Xavier Guidetti , Alisa Rupenyan , Lutz Fassl , Majid Nabavi , John Lygeros

This paper proposes a new randomized strategy for adaptive MCMC using Bayesian optimization. This approach applies to non-differentiable objective functions and trades off exploration and exploitation to reduce the number of potentially…

Computation · Statistics 2011-11-01 Nimalan Mahendran , Ziyu Wang , Firas Hamze , Nando de Freitas

At present, high-dimensional global optimization problems with time-series models have received much attention from engineering fields. Since it was proposed, Bayesian optimization has quickly become a popular and promising approach for…

Machine Learning · Computer Science 2021-08-06 Yuyang Chen , Kaiming Bi , Chih-Hang J. Wu , David Ben-Arieh , Ashesh Sinha

Bayesian optimization with Gaussian process as surrogate model has been successfully applied to analog circuit synthesis. In the traditional Gaussian process regression model, the kernel functions are defined explicitly. The computational…

Machine Learning · Computer Science 2019-12-03 Shuhan Zhang , Wenlong Lyu , Fan Yang , Changhao Yan , Dian Zhou , Xuan Zeng

Bayesian optimization has emerged as a strong candidate tool for global optimization of functions with expensive evaluation costs. However, due to the dynamic nature of research in Bayesian approaches, and the evolution of computing…

Applications · Statistics 2018-08-24 Ran Rubin

Bayesian optimization is a powerful optimization tool for problems where native first-order derivatives are unavailable. Recently, constrained Bayesian optimization (CBO) has been applied to many engineering applications where constraints…

Optimization and Control · Mathematics 2024-03-21 J. Wang , C. G. Petra , J. L. Peterson