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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,…

Machine Learning · Statistics 2019-04-03 Felix Berkenkamp , Angela P. Schoellig , Andreas Krause

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…

Machine Learning · Computer Science 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

Bayesian Optimization (BO) is an effective approach for global optimization of black-box functions when function evaluations are expensive. Most prior works use Gaussian processes to model the black-box function, however, the use of kernels…

Machine Learning · Computer Science 2023-09-25 Dat Phan-Trong , Hung Tran-The , Sunil Gupta

Multitask learning is a powerful framework that enables one to simultaneously learn multiple related tasks by sharing information between them. Quantifying uncertainty in the estimated tasks is of pivotal importance for many downstream…

Machine Learning · Computer Science 2023-08-04 Pier Giuseppe Sessa , Pierre Laforgue , Nicolò Cesa-Bianchi , Andreas Krause

Bayesian optimization (BO) is a powerful paradigm for optimizing expensive black-box functions. Traditional BO methods typically rely on separate hand-crafted acquisition functions and surrogate models for the underlying function, and often…

Machine Learning · Computer Science 2025-07-10 Fengxue Zhang , Yuxin Chen

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…

Machine Learning · Computer Science 2024-12-23 Vu Viet Hoang , Quoc Anh Hoang Nguyen , Hung Tran The

We study how to accelerate Bayesian optimization (BO) on a target task by transferring historical knowledge from related source tasks. Existing work on BO with knowledge transfer either lacks theoretical guarantees or achieves the same…

Machine Learning · Statistics 2026-04-29 Haitao Lin , Boxin Zhao , Mladen Kolar , Chong Liu

For Bayesian optimization (BO) on high-dimensional data with complex structure, neural network-based kernels for Gaussian processes (GPs) have been used to learn flexible surrogate functions by the high representation power of deep…

Machine Learning · Statistics 2021-11-02 Tomoharu Iwata

Bayesian optimization (BO) is a widely used framework for optimizing expensive black-box functions, commonly based on Gaussian process (GP) surrogate models. Its effectiveness relies on uncertainty quantification that is both sharp…

Machine Learning · Computer Science 2026-05-12 Marshal Arijona Sinaga , Julien Martinelli , Teemu Turpeinen , Samuel Kaski

Bilevel optimization has emerged as a technique for addressing a wide range of machine learning problems that involve an outer objective implicitly determined by the minimizer of an inner problem. While prior works have primarily focused on…

Machine Learning · Computer Science 2025-11-18 Fares El Khoury , Edouard Pauwels , Samuel Vaiter , Michael Arbel

Online bilevel optimization (OBO) is a powerful framework for machine learning problems where both outer and inner objectives evolve over time, requiring dynamic updates. Current OBO approaches rely on deterministic \textit{window-smoothed}…

Machine Learning · Computer Science 2026-05-20 Parvin Nazari , Bojian Hou , Davoud Ataee Tarzanagh , Li Shen , George Michailidis

Bayesian Optimization (BO) is a powerful framework for optimizing noisy, expensive-to-evaluate black-box functions. When the objective exhibits invariances under a group action, exploiting these symmetries can substantially improve BO…

Machine Learning · Statistics 2025-09-30 Anthony Bardou , Antoine Gonon , Aryan Ahadinia , Patrick Thiran

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…

Machine Learning · Computer Science 2024-10-23 Theodore Brown , Alexandru Cioba , Ilija Bogunovic

Online bilevel optimization (OBO) has emerged as a powerful framework for many machine learning problems. Prior works have developed several algorithms that minimize the standard bilevel local regret or the window-averaged bilevel local…

Machine Learning · Computer Science 2026-05-12 Tingkai Jia , Haiguang Wang , Cheng Chen

Bayesian optimization (BO) is a popular method for black-box optimization, which relies on uncertainty as part of its decision-making process when deciding which experiment to perform next. However, not much work has addressed the effect of…

Machine Learning · Statistics 2023-01-18 Jonathan Foldager , Mikkel Jordahn , Lars Kai Hansen , Michael Riis Andersen

Many real world applications can be framed as multi-objective optimization problems, where we wish to simultaneously optimize for multiple criteria. Bayesian optimization techniques for the multi-objective setting are pertinent when the…

Machine Learning · Computer Science 2019-06-24 Biswajit Paria , Kirthevasan Kandasamy , Barnabás Póczos

We consider black box optimization of an unknown function in the nonparametric Gaussian process setting when the noise in the observed function values can be heavy tailed. This is in contrast to existing literature that typically assumes…

Machine Learning · Computer Science 2019-09-17 Sayak Ray Chowdhury , Aditya Gopalan

Bayesian optimisation is a popular method for efficient optimisation of expensive black-box functions. Traditionally, BO assumes that the search space is known. However, in many problems, this assumption does not hold. To this end, we…

Machine Learning · Statistics 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Huong Ha , Svetha Venkatesh

Bayesian optimization (BO) is a sample efficient approach to automatically tune the hyperparameters of machine learning models. In practice, one frequently has to solve similar hyperparameter tuning problems sequentially. For example, one…

Machine Learning · Computer Science 2021-02-26 Samuel Horváth , Aaron Klein , Peter Richtárik , Cédric Archambeau

Bayesian optimization (BO) with preference-based feedback has recently garnered significant attention due to its emerging applications. We refer to this problem as Bayesian Optimization from Human Feedback (BOHF), which differs from…

Machine Learning · Computer Science 2025-05-30 Aya Kayal , Sattar Vakili , Laura Toni , Da-shan Shiu , Alberto Bernacchia
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