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In this paper, we deal with batch Bayesian Optimization (Bayes-Opt) problems over a box and we propose a novel bi-objective optimization (BOO) acquisition strategy to sample points where to evaluate the objective function. The BOO problem…

Optimization and Control · Mathematics 2025-05-27 Francesco Carciaghi , Simone Magistri , Pierluigi Mansueto , Fabio Schoen

Incorporating user preferences into multi-objective Bayesian optimization (MOBO) allows for personalization of the optimization procedure. Preferences are often abstracted in the form of an unknown utility function, estimated through…

Machine Learning · Computer Science 2025-03-19 Joshua Hang Sai Ip , Ankush Chakrabarty , Ali Mesbah , Diego Romeres

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

Artificial Intelligence · Computer Science 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

In recent years, leveraging parallel and distributed computational resources has become essential to solve problems of high computational cost. Bayesian optimization (BO) has shown attractive results in those expensive-to-evaluate problems…

Machine Learning · Statistics 2020-06-25 Masahiro Nomura

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

There is a consensus that focusing only on accuracy in searching for optimal machine learning models amplifies biases contained in the data, leading to unfair predictions and decision supports. Recently, multi-objective hyperparameter…

Machine Learning · Computer Science 2022-05-19 Antonio Candelieri , Andrea Ponti , Francesco Archetti

In this paper, we address the problem of \emph{cost-sensitive} hyperparameter optimization (HPO) built upon freeze-thaw Bayesian optimization (BO). Specifically, we assume a scenario where users want to early-stop the HPO process when the…

Machine Learning · Computer Science 2025-10-27 Dong Bok Lee , Aoxuan Silvia Zhang , Byungjoo Kim , Junhyeon Park , Steven Adriaensen , Juho Lee , Sung Ju Hwang , Hae Beom Lee

Hyperparameter optimization (HPO) is a necessary step to ensure the best possible performance of Machine Learning (ML) algorithms. Several methods have been developed to perform HPO; most of these are focused on optimizing one performance…

Machine Learning · Computer Science 2022-11-16 Alejandro Morales-Hernández , Inneke Van Nieuwenhuyse , Sebastian Rojas Gonzalez

Modern machine learning models are often constructed taking into account multiple objectives, e.g., minimizing inference time while also maximizing accuracy. Multi-objective hyperparameter optimization (MHPO) algorithms return such…

Machine Learning · Computer Science 2024-02-29 Matthias Feurer , Katharina Eggensperger , Edward Bergman , Florian Pfisterer , Bernd Bischl , Frank Hutter

Optimisation problems often have multiple conflicting objectives that can be computationally and/or financially expensive. Mono-surrogate Bayesian optimisation (BO) is a popular model-based approach for optimising such black-box functions.…

Machine Learning · Computer Science 2022-08-11 George De Ath , Tinkle Chugh , Alma A. M. Rahat

Many control problems require repeated tuning and adaptation of controllers across distinct closed-loop tasks, where data efficiency and adaptability are critical. We propose a hierarchical Bayesian optimization (BO) framework that is…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Sebastian Hirt , Lukas Theiner , Maik Pfefferkorn , Rolf Findeisen

Bayesian optimization (BO) is an efficient and flexible global optimization framework that is applicable to a very wide range of engineering applications. To leverage the capability of the classical BO, many extensions, including…

Machine Learning · Statistics 2021-09-01 Anh Tran , Mike Eldred , Scott McCann , Yan Wang

Because of its sample efficiency, Bayesian optimization (BO) has become a popular approach dealing with expensive black-box optimization problems, such as hyperparameter optimization (HPO). Recent empirical experiments showed that the loss…

Machine Learning · Computer Science 2021-11-11 Difan Deng , Marius Lindauer

In multi-objective black-box optimization, the goal is typically to find solutions that optimize a set of $T$ black-box objective functions, $f_1, \ldots f_T$, simultaneously. Traditional approaches often seek a single Pareto-optimal set…

Parametric multi-objective optimization (PMO) addresses the challenge of solving an infinite family of multi-objective optimization problems, where optimal solutions must adapt to varying parameters. Traditional methods require re-execution…

Neural and Evolutionary Computing · Computer Science 2025-11-11 Ji Cheng , Bo Xue , Qingfu Zhang

In this study, we propose a novel multi-objective Bayesian optimization (MOBO) method to efficiently identify the Pareto front (PF) defined by risk measures for black-box functions under the presence of input uncertainty (IU). Existing BO…

Machine Learning · Statistics 2023-11-27 Yu Inatsu , Shion Takeno , Hiroyuki Hanada , Kazuki Iwata , Ichiro Takeuchi

This paper reviews the state-of-the-art model-based adaptive sampling approaches for single-objective black-box optimization (BBO). While BBO literature includes various promising sampling techniques, there is still a lack of comprehensive…

Optimization and Control · Mathematics 2022-04-25 Nazanin Nezami , Hadis Anahideh

Hyperparameters play a critical role in the performances of many machine learning methods. Determining their best settings or Hyperparameter Optimization (HPO) faces difficulties presented by the large number of hyperparameters as well as…

Machine Learning · Statistics 2020-07-21 Yang Yang , Ke Deng , Michael Zhu

We develop parallel predictive entropy search (PPES), a novel algorithm for Bayesian optimization of expensive black-box objective functions. At each iteration, PPES aims to select a batch of points which will maximize the information gain…

Machine Learning · Computer Science 2015-11-24 Amar Shah , Zoubin Ghahramani

A homotopy method for multi-objective optimization that produces uniformly sampled Pareto fronts by construction is presented. While the algorithm is general, of particular interest is application to simulation-based engineering…

Optimization and Control · Mathematics 2015-05-13 Andreas Adelmann , Peter Arbenz , Andrew Foster , Yves Ineichen