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We study preferential Bayesian optimization (BO) where reliable feedback is limited to pairwise comparison called duels. An important challenge in preferential BO, which uses the preferential Gaussian process (GP) model to represent…

机器学习 · 计算机科学 2023-06-13 Shion Takeno , Masahiro Nomura , Masayuki Karasuyama

The Probably Approximately Correct (PAC) Privacy framework [46] provides a powerful instance-based methodology to preserve privacy in complex data-driven systems. Existing PAC Privacy algorithms (we call them Auto-PAC) rely on a Gaussian…

密码学与安全 · 计算机科学 2026-01-13 Tao Zhang , Yevgeniy Vorobeychik

Bayesian optimization (BO) has established itself as a leading strategy for efficiently optimizing expensive-to-evaluate functions. Existing BO methods mostly rely on Gaussian process (GP) surrogate models and are not applicable to…

机器学习 · 计算机科学 2024-01-29 Yongsheng Mei , Mahdi Imani , Tian Lan

The paper considers the problem of global optimization in the setup of stochastic process bandits. We introduce an UCB algorithm which builds a cascade of discretization trees based on generic chaining in order to render possible his…

机器学习 · 统计学 2016-02-22 Emile Contal , Nicolas Vayatis

Bayesian optimization (BO) is an effective paradigm for the optimization of expensive-to-sample systems. Standard BO learns the performance of a system $f(x)$ by using a Gaussian Process (GP) model; this treats the system as a black-box and…

机器学习 · 统计学 2025-01-03 Leonardo D. González , Victor M. Zavala

Bayesian optimization (BO) has been widely used to optimize expensive and gradient-free objective functions across various domains. However, existing BO methods have not addressed the objective where both inputs and outputs are functions,…

机器学习 · 统计学 2025-12-11 Jingru Huang , Haijie Xu , Manrui Jiang , Chen Zhang

Bayesian Optimization (BO) is a common approach for hyperparameter optimization (HPO) in automated machine learning. Although it is well-accepted that HPO is crucial to obtain well-performing machine learning models, tuning BO's own…

机器学习 · 计算机科学 2019-08-20 Marius Lindauer , Matthias Feurer , Katharina Eggensperger , André Biedenkapp , Frank Hutter

Bayesian optimization (BO) is a widely-used method for optimizing expensive (to evaluate) problems. At the core of most BO methods is the modeling of the objective function using a Gaussian Process (GP) whose covariance is selected from a…

Many functions have approximately-known upper and/or lower bounds, potentially aiding the modeling of such functions. In this paper, we introduce Gaussian process models for functions where such bounds are (approximately) known. More…

机器学习 · 计算机科学 2022-10-20 Vu Nguyen , Marc Peter Deisenroth , Michael A. Osborne

Bayesian optimization (BO) is an effective technique for black-box optimization. However, its applicability is typically limited to moderate-budget problems due to the cubic complexity of fitting the Gaussian process (GP) surrogate model.…

机器学习 · 统计学 2025-10-13 Qiyu Wei , Haowei Wang , Zirui Cao , Songhao Wang , Richard Allmendinger , Mauricio A Álvarez

Bayesian optimization (BO) is an efficient method for optimizing expensive black-box functions. In real-world applications, BO often faces a major problem of missing values in inputs. The missing inputs can happen in two cases. First, the…

机器学习 · 计算机科学 2020-06-22 Phuc Luong , Dang Nguyen , Sunil Gupta , Santu Rana , Svetha Venkatesh

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…

Bayesian optimization has recently attracted the attention of the automatic machine learning community for its excellent results in hyperparameter tuning. BO is characterized by the sample efficiency with which it can optimize expensive…

机器学习 · 计算机科学 2017-07-19 Ruben Martinez-Cantin , Michael McCourt , Kevin Tee

Bayesian optimization (BO) has proven to be an effective paradigm for the global optimization of expensive-to-sample systems. One of the main advantages of BO is its use of Gaussian processes (GPs) to characterize model uncertainty which…

机器学习 · 统计学 2023-11-30 Leonardo D. González , Victor M. Zavala

Optimizing objectives under constraints, where both the objectives and constraints are black box functions, is a common scenario in real-world applications such as scientific experimental design, design of medical therapies, and industrial…

机器学习 · 计算机科学 2023-10-16 Fengxue Zhang , Zejie Zhu , Yuxin Chen

Hyperparameter tuning is a key component of machine learning procedures, but when validation data contain sensitive user information, search mechanisms can leak private information through the selected configuration. Existing differentially…

机器学习 · 统计学 2026-05-12 Getoar Sopa , Juraj Marusic , Marco Avella Medina , John P. Cunningham

Bayesian optimization (BO) has gained attention as an efficient algorithm for black-box optimization of expensive-to-evaluate systems, where the BO algorithm iteratively queries the system and suggests new trials based on a probabilistic…

机器学习 · 计算机科学 2026-03-13 Eike Cramer , Luis Kutschat , Oliver Stollenwerk , Joel A. Paulson , Alexander Mitsos

Bayesian optimization (BO) is a global optimization strategy designed to find the minimum of an expensive black-box function, typically defined on a compact subset of $\mathcal{R}^d$, by using a Gaussian process (GP) as a surrogate model…

机器学习 · 统计学 2018-09-24 Eero Siivola , Aki Vehtari , Jarno Vanhatalo , Javier González , Michael Riis Andersen

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

We consider sequential optimization of an unknown function in a reproducing kernel Hilbert space. We propose a Gaussian process-based algorithm and establish its order-optimal regret performance (up to a poly-logarithmic factor). This is…

机器学习 · 统计学 2021-11-01 Sudeep Salgia , Sattar Vakili , Qing Zhao