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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

Bayesian optimization (BO) is a powerful paradigm for derivative-free global optimization of a black-box objective function (BOF) that is expensive to evaluate. However, the overhead of BO can still be prohibitive for problems with highly…

机器学习 · 计算机科学 2019-12-18 Bin Liu

Bayesian optimization is a powerful tool for fine-tuning the hyper-parameters of a wide variety of machine learning models. The success of machine learning has led practitioners in diverse real-world settings to learn classifiers for…

机器学习 · 统计学 2015-02-24 Matt J. Kusner , Jacob R. Gardner , Roman Garnett , Kilian Q. Weinberger

We study the problem of preferential Bayesian optimization (BO), where we aim to optimize a black-box function with only preference feedback over a pair of candidate solutions. Inspired by the likelihood ratio idea, we construct a…

机器学习 · 计算机科学 2024-05-30 Wenjie Xu , Wenbin Wang , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Bayesian Optimization is critically vulnerable to extreme outliers. Existing provably robust methods typically assume a bounded cumulative corruption budget, which makes them defenseless against even a single corruption of sufficient…

机器学习 · 统计学 2026-02-17 Abdelhamid Ezzerg , Ilija Bogunovic , Jeremias Knoblauch

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) 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…

机器学习 · 计算机科学 2024-12-30 Jingyi Wang , Haowei Wang , Cosmin G. Petra , Nai-Yuan Chiang

Bayesian optimization (BO) iteratively fits a Gaussian process (GP) surrogate to accumulated evaluations and selects new queries via an acquisition function such as expected improvement (EI). In practice, BO often concentrates evaluations…

统计方法学 · 统计学 2026-01-13 Jiguang Li , Hengrui Luo

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,…

机器学习 · 统计学 2019-04-03 Felix Berkenkamp , Angela P. Schoellig , Andreas Krause

Motivated by the growing need for black-box optimization and data privacy, we introduce a collaborative Bayesian optimization (BO) framework that addresses both of these challenges. In this framework agents work collaboratively to optimize…

机器学习 · 计算机科学 2025-04-16 Donglin Zhan , Haoting Zhang , Rhonda Righter , Zeyu Zheng , James Anderson

Bayesian methods lie at the heart of modern data science and provide a powerful scaffolding for estimation in data-constrained settings and principled quantification and propagation of uncertainty. Yet in many real-world use cases where…

数据结构与算法 · 计算机科学 2026-03-20 Sitan Chen , Jingqiu Ding , Mahbod Majid , Walter McKelvie

Bayesian optimisation (BO) is a well-known efficient algorithm for finding the global optimum of expensive, black-box functions. The current practical BO algorithms have regret bounds ranging from $\mathcal{O}(\frac{logN}{\sqrt{N}})$ to…

机器学习 · 计算机科学 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

This paper considers Bayesian optimization (BO) for problems with known outer problem structure. In contrast to the classic BO setting, where the objective function itself is unknown and needs to be iteratively estimated from noisy…

最优化与控制 · 数学 2025-03-19 Katrin Baumgärtner , Moritz Diehl

Bayesian optimization is an effective method for solving expensive black-box optimization problems. Most existing methods use Gaussian processes (GP) as the surrogate model for approximating the black-box objective function, it is…

机器学习 · 计算机科学 2025-12-23 Wei Peng , Jianchen Hu , Kang Liu , Qiaozhu Zhai

Bayesian optimization (BO) methods are useful for optimizing functions that are expensive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the…

机器学习 · 统计学 2020-02-04 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

In this paper, we consider the challenge of maximizing an unknown function f for which evaluations are noisy and are acquired with high cost. An iterative procedure uses the previous measures to actively select the next estimation of f…

机器学习 · 计算机科学 2013-09-03 Emile Contal , David Buffoni , Alexandre Robicquet , Nicolas Vayatis

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

机器学习 · 计算机科学 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

We address the problem of optimising the average payoff for a large number of cooperating agents, where the payoff function is unknown and treated as a black box. While standard Bayesian Optimisation (BO) methods struggle with the…

机器学习 · 计算机科学 2025-02-19 Petar Steinberg , Juliusz Ziomek , Matej Jusup , Ilija Bogunovic

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…

机器学习 · 计算机科学 2023-05-02 Kunal Jain , Prabuchandran K. J. , Tejas Bodas

Bayesian optimization (BO) has become a popular strategy for global optimization of expensive real-world functions. Contrary to a common expectation that BO is suited to optimizing black-box functions, it actually requires domain knowledge…

机器学习 · 计算机科学 2024-08-06 Zi Wang , George E. Dahl , Kevin Swersky , Chansoo Lee , Zachary Nado , Justin Gilmer , Jasper Snoek , Zoubin Ghahramani