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Bayesian optimization through Gaussian process regression is an effective method of optimizing an unknown function for which every measurement is expensive. It approximates the objective function and then recommends a new measurement point…

机器学习 · 统计学 2017-05-17 Hildo Bijl , Thomas B. Schön , Jan-Willem van Wingerden , Michel Verhaegen

Minimising cycle time without inducing quality defects is a major challenge in the injection moulding (IM). Design of Experiment methods (DoE) have been widely studied for optimisation of the IM, however existing methods have limitations,…

系统与控制 · 电气工程与系统科学 2024-12-05 Mandana Kariminejad , David Tormey , Caitríona Ryan , Christopher O'Hara , Albert Weinert , Marion McAfee

Bayesian optimization (BO) is a powerful approach for seeking the global optimum of expensive black-box functions and has proven successful for fine tuning hyper-parameters of machine learning models. However, BO is practically limited to…

机器学习 · 统计学 2020-09-28 Riccardo Moriconi , Marc P. Deisenroth , K. S. Sesh Kumar

Bayesian Optimization (BO) is a widely-used method for optimizing expensive-to-evaluate black-box functions. Traditional BO assumes that the learner has full control over all query variables without additional constraints. However, in many…

机器学习 · 计算机科学 2024-12-23 Vu Viet Hoang , Quoc Anh Hoang Nguyen , Hung Tran The

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…

最优化与控制 · 数学 2019-06-20 Piyush Pandita , Ilias Bilionis , Jitesh Panchal

Data-driven optimization of sampling patterns in MRI has recently received a significant attention.Following recent observations on the combinatorial number of minimizers in off-the-grid optimization, we propose a framework to globally…

信号处理 · 电气工程与系统科学 2023-06-21 Alban Gossard , Frédéric de Gournay , Pierre Weiss

Several researchers have proposed minimisation of maximum mean discrepancy (MMD) as a method to quantise probability measures, i.e., to approximate a target distribution by a representative point set. We consider sequential algorithms that…

机器学习 · 统计学 2021-02-15 Onur Teymur , Jackson Gorham , Marina Riabiz , Chris. J. Oates

Optimization of high-dimensional black-box functions is an extremely challenging problem. While Bayesian optimization has emerged as a popular approach for optimizing black-box functions, its applicability has been limited to…

机器学习 · 统计学 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli

Automated chemical synthesis, materials fabrication, and spectroscopic physical measurements often bring forth the challenge of process trajectory optimization, i.e., discovering the time dependence of temperature, electric field, or…

无序系统与神经网络 · 物理学 2022-06-28 Mani Valleti , Rama K. Vasudevan , Maxim A. Ziatdinov , Sergei V. Kalinin

Bayesian Optimization is an effective method for searching the global maxima of an objective function especially if the function is unknown. The process comprises of using a surrogate function and choosing an acquisition function followed…

机器学习 · 计算机科学 2021-11-10 Ashish Anil Pawar , Ujwal Warbhe

Information-based Bayesian optimization (BO) algorithms have achieved state-of-the-art performance in optimizing a black-box objective function. However, they usually require several approximations or simplifying assumptions (without…

机器学习 · 计算机科学 2021-08-02 Quoc Phong Nguyen , Zhaoxuan Wu , Bryan Kian Hsiang Low , Patrick Jaillet

Bayesian optimization (BO) is a powerful approach for optimizing black-box, expensive-to-evaluate functions. To enable a flexible trade-off between the cost and accuracy, many applications allow the function to be evaluated at different…

机器学习 · 计算机科学 2021-10-27 Shibo Li , Robert M. Kirby , Shandian Zhe

Bayesian optimization is a sample-efficient approach to global optimization that relies on theoretically motivated value heuristics (acquisition functions) to guide its search process. Fully maximizing acquisition functions produces the…

机器学习 · 统计学 2018-12-04 James T. Wilson , Frank Hutter , Marc Peter Deisenroth

Bayesian optimization (BO) is a widely used iterative algorithm for optimizing black-box functions. Each iteration requires maximizing an acquisition function, such as the upper confidence bound (UCB) or a sample path from the Gaussian…

机器学习 · 统计学 2025-06-16 Hwanwoo Kim , Chong Liu , Yuxin Chen

Bayesian optimization (BO) is a model-based approach to sequentially optimize expensive black-box functions, such as the validation error of a deep neural network with respect to its hyperparameters. In many real-world scenarios, the…

Control algorithms such as model predictive control (MPC) and state estimators rely on a number of different parameters. The performance of the closed loop usually depends on the correct setting of these parameters. Tuning is often done…

系统与控制 · 电气工程与系统科学 2020-10-15 David Stenger , Muzaffer Ay , Dirk Abel

Integration over non-negative integrands is a central problem in machine learning (e.g. for model averaging, (hyper-)parameter marginalisation, and computing posterior predictive distributions). Bayesian Quadrature is a probabilistic…

机器学习 · 统计学 2018-12-05 Ed Wagstaff , Saad Hamid , Michael Osborne

We describe a method for Bayesian optimization by which one may incorporate data from multiple systems whose quantitative interrelationships are unknown a priori. All general (nonreal-valued) features of the systems are associated with…

机器学习 · 计算机科学 2020-01-06 Steven Atkinson , Sayan Ghosh , Natarajan Chennimalai-Kumar , Genghis Khan , Liping Wang

Many real-world optimisation problems are defined over both categorical and continuous variables, yet efficient optimisation methods such asBayesian Optimisation (BO) are not designed tohandle such mixed-variable search spaces. Recent…

机器学习 · 统计学 2022-02-18 Yan Zuo , Amir Dezfouli , Iadine Chades , David Alexander , Benjamin Ward Muir

Bayesian Optimization (BO) is an efficient tool for optimizing black-box functions, but its theoretical guarantees typically hold in the asymptotic regime. In many critical real-world applications such as drug discovery or materials design,…

机器学习 · 计算机科学 2025-11-04 Diantong Li , Kyunghyun Cho , Chong Liu