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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…

机器学习 · 计算机科学 2025-04-09 Erik Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

Gaussian Processes (GPs) are a generic modelling tool for supervised learning. While they have been successfully applied on large datasets, their use in safety-critical applications is hindered by the lack of good performance guarantees. To…

机器学习 · 统计学 2019-08-27 David Reeb , Andreas Doerr , Sebastian Gerwinn , Barbara Rakitsch

In the financial system, bailout strategies play a pivotal role in mitigating substantial losses resulting from systemic risk. However, the lack of a closed-form objective function to the optimal bailout problem poses significant challenges…

风险管理 · 定量金融 2025-08-27 Shuhua Xiao , Jiali Ma , Li Xia , Shushang Zhu

Bayesian optimization (BO) suffers from long computing times when processing highly-dimensional or large data sets. These long computing times are a result of the Gaussian process surrogate model having a polynomial time complexity with the…

机器学习 · 计算机科学 2023-09-12 Alexander E. Siemenn , Tonio Buonassisi

Bayesian optimization (BO) has become popular for sequential optimization of black-box functions. When BO is used to optimize a target function, we often have access to previous evaluations of potentially related functions. This begs the…

机器学习 · 计算机科学 2022-06-17 Zhongxiang Dai , Yizhou Chen , Haibin Yu , Bryan Kian Hsiang Low , Patrick Jaillet

Bayesian Optimization is the state of the art technique for the optimization of black boxes, i.e., functions where we do not have access to their analytical expression nor its gradients, they are expensive to evaluate and its evaluation is…

人工智能 · 计算机科学 2021-01-13 Eduardo C. Garrido Merchán , Luis C. Jariego Pérez

Bayesian optimization is a methodology to optimize black-box functions. Traditionally, it focuses on the setting where you can arbitrarily query the search space. However, many real-life problems do not offer this flexibility; in…

Bayesian optimization (BO) is a widely-used sequential method for zeroth-order optimization of complex and expensive-to-compute black-box functions. The existing BO methods assume that the function evaluation (feedback) is available to the…

机器学习 · 计算机科学 2022-06-22 Arun Verma , Zhongxiang Dai , Bryan Kian Hsiang Low

Bayesian optimisation requires fitting a Gaussian process model, which in turn requires specifying prior on the unknown black-box function -- most of the theoretical literature assumes this prior is known. However, it is common to have more…

机器学习 · 计算机科学 2025-02-25 Juliusz Ziomek , Masaki Adachi , Michael A. Osborne

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

机器学习 · 统计学 2024-02-20 Amanda Lenzi , Haavard Rue

Bayesian optimisation (BO) is a powerful framework for global optimisation of costly functions, using predictions from Gaussian process models (GPs). In this work, we apply BO to functions that exhibit invariance to a known group of…

机器学习 · 计算机科学 2024-10-23 Theodore Brown , Alexandru Cioba , Ilija Bogunovic

Attributed graphs, which contain rich contextual features beyond just network structure, are ubiquitous and have been observed to benefit various network analytics applications. Graph structure optimization, aiming to find the optimal…

机器学习 · 计算机科学 2019-06-03 Jiaxu Cui , Bo Yang , Xia Hu

Gaussian processes (GPs) are widely used in nonparametric regression, classification and spatio-temporal modeling, motivated in part by a rich literature on theoretical properties. However, a well known drawback of GPs that limits their use…

统计方法学 · 统计学 2011-06-29 Anjishnu Banerjee , David Dunson , Surya Tokdar

Bayesian optimization has been successfully applied to optimize black-box functions where the number of evaluations is severely limited. However, in many real-world applications, it is hard or impossible to know in advance which designs are…

Bayesian optimization has emerged at the forefront of expensive black-box optimization due to its data efficiency. Recent years have witnessed a proliferation of studies on the development of new Bayesian optimization algorithms and their…

机器学习 · 计算机科学 2022-11-14 Xilu Wang , Yaochu Jin , Sebastian Schmitt , Markus Olhofer

Bayesian Optimization (BO) is a surrogate-assisted global optimization technique that has been successfully applied in various fields, e.g., automated machine learning and design optimization. Built upon a so-called infill-criterion and…

神经与进化计算 · 计算机科学 2020-07-03 Elena Raponi , Hao Wang , Mariusz Bujny , Simonetta Boria , Carola Doerr

First Order Bayesian Optimization (FOBO) is a sample efficient sequential approach to find the global maxima of an expensive-to-evaluate black-box objective function by suitably querying for the function and its gradient evaluations. Such…

机器学习 · 计算机科学 2023-06-21 Utkarsh Prakash , Aryan Chollera , Kushagra Khatwani , Prabuchandran K. J. , Tejas Bodas

Bayesian optimization (BO) is a popular black-box function optimization method, which makes sequential decisions based on a Bayesian model, typically a Gaussian process (GP), of the function. To ensure the quality of the model, transfer…

机器学习 · 计算机科学 2024-02-15 Zhou Fan , Xinran Han , Zi Wang

The PC algorithm is a popular method for learning the structure of Gaussian Bayesian networks. It carries out statistical tests to determine absent edges in the network. It is hence governed by two parameters: (i) The type of test, and (ii)…

Most research in Bayesian optimization (BO) has focused on \emph{direct feedback} scenarios, where one has access to exact values of some expensive-to-evaluate objective. This direction has been mainly driven by the use of BO in machine…