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Bayesian optimization has demonstrated impressive success in finding the optimum input x* and output f* = f(x*) = max f(x) of a black-box function f. In some applications, however, the optimum output f* is known in advance and the goal is…

Machine Learning · Statistics 2020-08-18 Vu Nguyen , Michael A. Osborne

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

Bayesian optimization (BO) with Gaussian process (GP) surrogate models is a powerful black-box optimization method. Acquisition functions are a critical part of a BO algorithm as they determine how the new samples are selected. Some of the…

Machine Learning · Computer Science 2024-12-30 Jingyi Wang , Haowei Wang , Cosmin G. Petra , Nai-Yuan Chiang

Bayesian optimization (BO) is a popular approach for expensive black-box optimization, with applications including parameter tuning, experimental design, robotics. BO usually models the objective function by a Gaussian process (GP), and…

Machine Learning · Statistics 2020-01-22 Chao Qian , Hang Xiong , Ke Xue

Recently, there has been rising interest in Bayesian optimization -- the optimization of an unknown function with assumptions usually expressed by a Gaussian Process (GP) prior. We study an optimization strategy that directly uses an…

Machine Learning · Statistics 2018-08-14 Zi Wang , Bolei Zhou , Stefanie Jegelka

Efficient global optimization is a widely used method for optimizing expensive black-box functions such as tuning hyperparameter, and designing new material, etc. Despite its popularity, less attention has been paid to analyzing the…

Optimization and Control · Mathematics 2022-09-21 Wenjie Xu , Yuning Jiang , Emilio T. Maddalena , Colin N. Jones

Existing Bayesian Optimization (BO) methods typically balance exploration and exploitation to optimize costly objective functions. However, these methods often suffer from a significant one-step bias, which may lead to convergence towards…

Machine Learning · Computer Science 2025-10-23 Ruiyao Miao , Junren Xiao , Shiya Tsang , Hui Xiong , Yingnian Wu

We present an information-theoretic framework for solving global black-box optimization problems that also have black-box constraints. Of particular interest to us is to efficiently solve problems with decoupled constraints, in which…

We consider the problem of finding an input to a stochastic black box function such that the scalar output of the black box function is as close as possible to a target value in the sense of the expected squared error. While the…

Machine Learning · Computer Science 2023-05-16 Johannes G. Hoffer , Sascha Ranftl , Bernhard C. Geiger

This paper studies the problem of online performance optimization of constrained closed-loop control systems, where both the objective and the constraints are unknown black-box functions affected by exogenous time-varying contextual…

Machine Learning · Computer Science 2023-09-22 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Modern deep learning tools are remarkably effective in addressing intricate problems. However, their operation as black-box models introduces increased uncertainty in predictions. Additionally, they contend with various challenges,…

Machine Learning · Computer Science 2024-04-09 Sourav Ganguly , Saprativa Bhattacharjee

Black-box optimization is a powerful approach for discovering global optima in noisy and expensive black-box functions, a problem widely encountered in real-world scenarios. Recently, there has been a growing interest in leveraging domain…

Machine Learning · Computer Science 2024-02-06 Dat Phan-Trong , Hung The Tran , Alistair Shilton , Sunil Gupta

Bayesian optimization with Gaussian processes has become an increasingly popular tool in the machine learning community. It is efficient and can be used when very little is known about the objective function, making it popular in expensive…

Machine Learning · Computer Science 2011-03-08 Eric Brochu , Matthew W. Hoffman , Nando de Freitas

In automated machine learning, scientific discovery, and other applications of Bayesian optimization, deciding when to stop evaluating expensive black-box functions in a cost-aware manner is an important but underexplored practical…

Machine Learning · Computer Science 2025-12-29 Qian Xie , Linda Cai , Alexander Terenin , Peter I. Frazier , Ziv Scully

We consider the problem of optimizing a black-box function based on noisy bandit feedback. Kernelized bandit algorithms have shown strong empirical and theoretical performance for this problem. They heavily rely on the assumption that the…

Machine Learning · Computer Science 2021-11-10 Ilija Bogunovic , Andreas Krause

The optimization of expensive-to-evaluate black-box functions is prevalent in various scientific disciplines. Bayesian optimization is an automatic, general and sample-efficient method to solve these problems with minimal knowledge of the…

Machine Learning · Computer Science 2024-02-20 Carl Hvarfner , Frank Hutter , Luigi Nardi

In this paper, we make the key delineation on the roles of resolution and statistical uncertainty in hierarchical bandits-based black-box optimization algorithms, guiding a more general analysis and a more efficient algorithm design. We…

Machine Learning · Statistics 2023-06-01 Wenjie Li , Chi-Hua Wang , Guang Cheng , Qifan Song

Bayesian optimization usually assumes that a Bayesian prior is given. However, the strong theoretical guarantees in Bayesian optimization are often regrettably compromised in practice because of unknown parameters in the prior. In this…

Machine Learning · Computer Science 2018-11-26 Zi Wang , Beomjoon Kim , Leslie Pack Kaelbling

Bayesian Optimization (BO) is widely used for optimising black-box functions but requires us to specify the length scale hyperparameter, which defines the smoothness of the functions the optimizer will consider. Most current BO algorithms…

Machine Learning · Statistics 2024-11-26 Juliusz Ziomek , Masaki Adachi , Michael A. Osborne

Bayesian optimization is an advanced tool to perform ecient global optimization It consists on enriching iteratively surrogate Kriging models of the objective and the constraints both supposed to be computationally expensive of the targeted…

Machine Learning · Computer Science 2025-04-14 Robin Grapin , Youssef Diouane , Joseph Morlier , Nathalie Bartoli , Thierry Lefebvre , Paul Saves , Jasper Bussemaker
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