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Many scientific and industrial applications require the joint optimization of multiple, potentially competing objectives. Multi-objective Bayesian optimization (MOBO) is a sample-efficient framework for identifying Pareto-optimal solutions.…

Machine Learning · Computer Science 2024-06-10 Ji Won Park , Nataša Tagasovska , Michael Maser , Stephen Ra , Kyunghyun Cho

Bayesian optimization is an effective method to efficiently optimize unknown objective functions with high evaluation costs. Traditional Bayesian optimization algorithms select one point per iteration for single objective function, whereas…

Machine Learning · Statistics 2019-05-08 Takashi Wada , Hideitsu Hino

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…

Machine Learning · Computer Science 2024-02-15 Zhou Fan , Xinran Han , Zi Wang

In high-dimensional settings, Bayesian optimization (BO) can be expensive and infeasible. The random embedding Bayesian optimization algorithm is commonly used to address high-dimensional BO challenges. However, this method relies on the…

Machine Learning · Computer Science 2024-08-12 Jiaming Lu , Rong J. B. Zhu

We propose a novel Bayesian optimization (BO) procedure aimed at identifying the ``profile optima'' of a deterministic black-box computer simulation that has a single control parameter and multiple nuisance parameters. The profile optima…

Methodology · Statistics 2025-12-30 Courtney Kyger , James Fernandez , John A. Grunenwald , James Braun , Annie Booth

Bayesian optimization is an effective method for optimizing expensive-to-evaluate black-box functions. High-dimensional problems are particularly challenging as the surrogate model of the objective suffers from the curse of dimensionality,…

Machine Learning · Computer Science 2023-10-06 Erik Orm Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

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

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

While Bayesian Optimization (BO) is a very popular method for optimizing expensive black-box functions, it fails to leverage the experience of domain experts. This causes BO to waste function evaluations on bad design choices (e.g., machine…

Machine Learning · Computer Science 2021-04-20 Artur Souza , Luigi Nardi , Leonardo B. Oliveira , Kunle Olukotun , Marius Lindauer , Frank Hutter

Bayesian optimization is a promising methodology for analog circuit synthesis. However, the sequential nature of the Bayesian optimization framework significantly limits its ability to fully utilize real-world computational resources. In…

Machine Learning · Computer Science 2021-06-30 Shuhan Zhang , Fan Yang , Changhao Yan , Dian Zhou , Xuan Zeng

Bayesian optimization is a powerful method for optimizing black-box functions with limited function evaluations. Recent works have shown that optimization in a latent space through deep generative models such as variational autoencoders…

Machine Learning · Computer Science 2023-11-21 Seunghun Lee , Jaewon Chu , Sihyeon Kim , Juyeon Ko , Hyunwoo J. Kim

Bayesian Optimization has become the reference method for the global optimization of black box, expensive and possibly noisy functions. Bayesian Op-timization learns a probabilistic model about the objective function, usually a Gaussian…

Machine Learning · Statistics 2020-03-10 Antonio Candelieri , Ilaria Giordani , Riccardo Perego , Francesco Archetti

The optimization of high-dimensional black-box functions is a challenging problem. When a low-dimensional linear embedding structure can be assumed, existing Bayesian optimization (BO) methods often transform the original problem into…

Machine Learning · Statistics 2022-11-03 Shuhei A. Horiguchi , Tomoharu Iwata , Taku Tsuzuki , Yosuke Ozawa

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

Bilevel optimization, a hierarchical mathematical framework where one optimization problem is nested within another, has emerged as a powerful tool for modeling complex decision-making processes in various fields such as economics,…

Machine Learning · Computer Science 2024-12-25 Omer Ekmekcioglu , Nursen Aydin , Juergen Branke

Bayesian optimization is a class of data efficient model based algorithms typically focused on global optimization. We consider the more general case where a user is faced with multiple problems that each need to be optimized conditional on…

Machine Learning · Statistics 2020-11-04 Michael Pearce , Janis Klaise , Matthew Groves

We introduce a class of acquisition functions for sample selection that leads to faster convergence in applications related to Bayesian experimental design and uncertainty quantification. The approach follows the paradigm of active…

Machine Learning · Statistics 2021-04-12 Antoine Blanchard , Themistoklis Sapsis

Bayesian Optimization is a sample-efficient black-box optimization procedure that is typically applied to problems with a small number of independent objectives. However, in practice we often wish to optimize objectives defined over many…

Machine Learning · Computer Science 2021-10-29 Wesley J. Maddox , Maximilian Balandat , Andrew Gordon Wilson , Eytan Bakshy

Bayesian optimization (BO) is a popular, sample-efficient technique for expensive, black-box optimization. One such problem arising in manufacturing is that of maximizing the reliability, or equivalently minimizing the probability of a…

Machine Learning · Computer Science 2026-02-03 Jack M. Buckingham , Ivo Couckuyt , Juergen Branke

Gaussian process (GP) based Bayesian optimization (BO) is a powerful method for optimizing black-box functions efficiently. The practical performance and theoretical guarantees of this approach depend on having the correct GP hyperparameter…

Machine Learning · Statistics 2024-06-07 Huong Ha , Vu Nguyen , Hung Tran-The , Hongyu Zhang , Xiuzhen Zhang , Anton van den Hengel