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Many real-world applications involve black-box optimization of multiple objectives using continuous function approximations that trade-off accuracy and resource cost of evaluation. For example, in rocket launching research, we need to find…

Machine Learning · Statistics 2020-11-24 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

Scaling Bayesian optimisation (BO) to high-dimensional search spaces is a active and open research problems particularly when no assumptions are made on function structure. The main reason is that at each iteration, BO requires to find…

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

Bayesian optimization (BO) is a popular technique for sequential black-box function optimization, with applications including parameter tuning, robotics, environmental monitoring, and more. One of the most important challenges in BO is the…

Machine Learning · Computer Science 2018-03-29 Paul Rolland , Jonathan Scarlett , Ilija Bogunovic , Volkan Cevher

In Bayesian optimisation, we often seek to minimise the black-box objective functions that arise in real-world physical systems. A primary contributor to the cost of evaluating such black-box objective functions is often the effort required…

Machine Learning · Computer Science 2024-07-04 Adam X. Yang , Laurence Aitchison , Henry B. Moss

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…

Machine Learning · Computer Science 2023-10-16 Fengxue Zhang , Zejie Zhu , Yuxin Chen

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

Stochastic multi-objective optimization (SMOO) has recently emerged as a powerful framework for addressing machine learning problems with multiple objectives. The bias introduced by the nonlinearity of the subproblem solution mapping…

Optimization and Control · Mathematics 2024-10-10 Linxi Yang , Liping Tang , Jiahao Lv , Yuehong He , Xinmin Yang

We consider the problem of constrained multi-objective blackbox optimization using expensive function evaluations, where the goal is to approximate the true Pareto set of solutions satisfying a set of constraints while minimizing the number…

Machine Learning · Computer Science 2020-11-24 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

Bayesian optimization (BO) is a model-based approach to sequentially optimize expensive black-box functions, such as the validation error of a deep neural network with respect to its hyperparameters. In many real-world scenarios, the…

Machine Learning · Statistics 2019-10-17 Valerio Perrone , Iaroslav Shcherbatyi , Rodolphe Jenatton , Cedric Archambeau , Matthias Seeger

We propose a new Pareto Local Search Algorithm for the many-objective combinatorial optimization. Pareto Local Search proved to be a very effective tool in the case of the bi-objective combinatorial optimization and it was used in a number…

Data Structures and Algorithms · Computer Science 2017-12-15 Andrzej Jaszkiewicz

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

Multi-Objective Optimization (MOO) is an important problem in real-world applications. However, for a non-trivial problem, no single solution exists that can optimize all the objectives simultaneously. In a typical MOO problem, the goal is…

Machine Learning · Computer Science 2024-09-17 Zhang Haishan , Diptesh Das , Koji Tsuda

At present, high-dimensional global optimization problems with time-series models have received much attention from engineering fields. Since it was proposed, Bayesian optimization has quickly become a popular and promising approach for…

Machine Learning · Computer Science 2021-08-06 Yuyang Chen , Kaiming Bi , Chih-Hang J. Wu , David Ben-Arieh , Ashesh Sinha

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) is a popular algorithm for solving challenging optimization tasks. It is designed for problems where the objective function is expensive to evaluate, perhaps not available in exact form, without gradient…

Machine Learning · Statistics 2018-08-22 Umberto Noè , Dirk Husmeier

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. Some evolutionary algorithms for multi-modal multi-objective optimization have been proposed in the literature. However,…

Neural and Evolutionary Computing · Computer Science 2020-10-02 Ryoji Tanabe , Hisao Ishibuchi

Optimizing multiple competing objectives is a common problem across science and industry. The inherent inextricable trade-off between those objectives leads one to the task of exploring their Pareto front. A meaningful quantity for the…

Machine Learning · Computer Science 2023-10-24 Jim Boelrijk , Bernd Ensing , Patrick Forré

Bayesian optimization (BO) is a sample-efficient approach for tuning design parameters to optimize expensive-to-evaluate, black-box performance metrics. In many manufacturing processes, the design parameters are subject to random input…

Machine Learning · Computer Science 2022-06-06 Samuel Daulton , Sait Cakmak , Maximilian Balandat , Michael A. Osborne , Enlu Zhou , Eytan Bakshy

Multi-objective optimization (MOO) has received growing attention in applications that require learning under multiple criteria. However, the existing MOO formulations do not explicitly account for distributional shifts in the data. We…

Machine Learning · Computer Science 2026-05-08 Yufeng Yang , Fangning Zhuo , Ziyi Chen , Heng Huang , Yi Zhou

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