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Many engineering problems involve the optimization of computationally expensive models for which derivative information is not readily available. The Bayesian optimization (BO) framework is a particularly promising approach for solving…

Optimization and Control · Mathematics 2022-02-10 Joel A. Paulson , Congwen Lu

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

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,…

Machine Learning · Computer Science 2025-11-04 Diantong Li , Kyunghyun Cho , Chong Liu

Motivated by the increasing concern about privacy in nowadays data-intensive online learning systems, we consider a black-box optimization in the nonparametric Gaussian process setting with local differential privacy (LDP) guarantee.…

Machine Learning · Computer Science 2020-10-15 Xingyu Zhou , Jian Tan

Bayesian optimization (BO) is widely used to accelerate physics and materials research, where objective function evaluations are computationally or experimentally expensive. While many BO frameworks focus on algorithmic efficiency,…

Computational Physics · Physics 2026-03-03 Yuichi Motoyama , Kazuyoshi Yoshimi , Tatsumi Aoyama , Kei Terayama , Koji Tsuda , Ryo Tamura

Bayesian optimization (BO) is a widely used iterative black-box optimization method that utilizes Gaussian process (GP) surrogate models. In practice, BO is typically terminated after a fixed evaluation budget is exhausted, which can incur…

Machine Learning · Computer Science 2026-05-22 Haowei Wang , Jingyi Wang , Qiyu Wei

Bayesian Optimisation (BO) refers to a class of methods for global optimisation of a function $f$ which is only accessible via point evaluations. It is typically used in settings where $f$ is expensive to evaluate. A common use case for BO…

Machine Learning · Computer Science 2019-03-19 Kirthevasan Kandasamy , Willie Neiswanger , Jeff Schneider , Barnabas Poczos , Eric Xing

Bayesian optimization (BO) with Gaussian processes (GP) as surrogate models is widely used to optimize analytically unknown and expensive-to-evaluate functions. In this paper, we propose Prior-mean-RObust Bayesian Optimization (PROBO) that…

Artificial Intelligence · Computer Science 2021-11-17 Julian Rodemann , Thomas Augustin

Bayesian optimization (BO) recently became popular in robotics to optimize control parameters and parametric policies in direct reinforcement learning due to its data efficiency and gradient-free approach. However, its performance may be…

Robotics · Computer Science 2019-10-14 Noémie Jaquier , Leonel Rozo , Sylvain Calinon , Mathias Bürger

Bayesian optimization (BO) has been widely used to optimize expensive and black-box functions across various domains. However, existing BO methods have not addressed tensor-output functions. To fill this gap, we propose a novel…

Machine Learning · Computer Science 2026-03-03 Jingru Huang , Haijie Xu , Jie Guo , Manrui Jiang , Chen Zhang

Bandit algorithms have various application in safety-critical systems, where it is important to respect the system constraints that rely on the bandit's unknown parameters at every round. In this paper, we formulate a linear stochastic…

Machine Learning · Computer Science 2019-08-19 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

Scientific discovery is increasingly constrained by costly experiments and limited resources, underscoring the need for efficient optimization in AI for science. Bayesian Optimization (BO), though widely adopted for balancing exploration…

Artificial Intelligence · Computer Science 2026-05-19 Xinzhe Yuan , Zhuo Chen , Jianshu Zhang , Huan Xiong , Nanyang Ye , Yuqiang Li , Qinying Gu

In this paper, we consider the problem of Gaussian process (GP) optimization with an added robustness requirement: The returned point may be perturbed by an adversary, and we require the function value to remain as high as possible even…

Machine Learning · Statistics 2018-11-05 Ilija Bogunovic , Jonathan Scarlett , Stefanie Jegelka , Volkan Cevher

Bayesian Optimization (BO) has been widely applied to optimize expensive black-box functions while retaining sample efficiency. However, scaling BO to high-dimensional spaces remains challenging. Existing literature proposes performing…

Machine Learning · Computer Science 2025-08-27 Quanlin Chen , Yiyu Chen , Jing Huo , Tianyu Ding , Yang Gao , Yuetong Chen

Some real problems require the evaluation of expensive and noisy objective functions. Moreover, the analytical expression of these objective functions may be unknown. These functions are known as black-boxes, for example, estimating the…

Machine Learning · Statistics 2021-07-12 Lucia Asencio Martín , Eduardo C. Garrido-Merchán

Bayesian optimization (BO) aims to minimize a given blackbox function using a model that is updated whenever new evidence about the function becomes available. Here, we address the problem of BO under partially right-censored response data,…

Artificial Intelligence · Computer Science 2013-10-09 Frank Hutter , Holger Hoos , Kevin Leyton-Brown

We address the robot grasp optimization problem of unknown objects considering uncertainty in the input space. Grasping unknown objects can be achieved by using a trial and error exploration strategy. Bayesian optimization is a sample…

Robotics · Computer Science 2016-03-08 José Nogueira , Ruben Martinez-Cantin , Alexandre Bernardino , Lorenzo Jamone

Bayesian Optimization (BO) is a popular approach to optimizing expensive-to-evaluate black-box functions. Despite the success of BO, its performance may decrease exponentially as the dimensionality increases. A common framework to tackle…

Machine Learning · Computer Science 2024-12-24 Quoc-Anh Hoang Nguyen , The Hung Tran

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…

Machine Learning · Computer Science 2025-04-16 Donglin Zhan , Haoting Zhang , Rhonda Righter , Zeyu Zheng , James Anderson

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

Machine Learning · Statistics 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams
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