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This work aims at developing new methodologies to optimize computational costly complex systems (e.g., aeronautical engineering systems). The proposed surrogate-based method (often called Bayesian optimization) uses adaptive sampling to…

Complex robot navigation and control problems can be framed as policy search problems. However, interactive learning in uncertain environments can be expensive, requiring the use of data-efficient methods. Bayesian optimization is an…

Machine Learning · Computer Science 2025-01-29 Javier Garcia-Barcos , Ruben Martinez-Cantin

The surrogate-assisted optimization algorithm is a promising approach for solving expensive multi-objective optimization problems. However, most existing surrogate-assisted multi-objective optimization algorithms have three main drawbacks:…

Neural and Evolutionary Computing · Computer Science 2018-11-06 Xi Lin , Hui-Ling Zhen , Zhenhua Li , Qingfu Zhang , Sam Kwong

Bayesian optimization offers a flexible framework to optimize an objective function that is expensive to be evaluated. A Bayesian optimizer iteratively queries the function values on its carefully selected points. Subsequently, it makes a…

Machine Learning · Computer Science 2019-06-25 Yang Li , Yaqiang Yao

Bayesian Optimization (BO) links Gaussian Process (GP) surrogates with sequential design toward optimizing expensive-to-evaluate black-box functions. Example design heuristics, or so-called acquisition functions, like expected improvement…

Machine Learning · Computer Science 2023-08-16 Ryan B. Christianson , Robert B. Gramacy

Expensive optimization problems (EOPs) are prevalent in real-world applications, where the evaluation of a single solution requires a significant amount of resources. In our study of surrogate-assisted evolutionary algorithms (SAEAs) in…

Neural and Evolutionary Computing · Computer Science 2024-12-06 Hao Hao , Xiaoqun Zhang , Aimin Zhou

Building a surrogate model of an objective function has shown to be effective to assist evolutionary algorithms (EAs) to solve real-world complex optimisation problems which involve either computationally expensive numerical simulations or…

Neural and Evolutionary Computing · Computer Science 2020-02-11 Xiaoran Ruan , Ke Li , Bilel Derbel , Arnaud Liefooghe

A surrogate function is often employed to reduce the number of objective function evaluations for optimization. However, the effect of using a surrogate model in evolutionary approaches has not been theoretically investigated. This paper…

Neural and Evolutionary Computing · Computer Science 2022-04-07 Youhei Akimoto

This paper presents a novel methodology that uses surrogate models in the form of neural networks to reduce the computation time of simulation-based optimization of a reference trajectory. Simulation-based optimization is necessary when…

Optimization and Control · Mathematics 2023-03-31 Evelyn Ruff , Rebecca Russell , Matthew Stoeckle , Piero Miotto , Jonathan P. How

In this paper, a new sequential surrogate-based optimization (SSBO) algorithm is developed, which aims to improve the global search ability and local search efficiency for the global optimization of expensive black-box models. The proposed…

Machine Learning · Statistics 2018-11-30 Chunlin Gong , Xu Li , Hua Su , Jinlei Guo , Liangxian Gu

Bayesian optimization (BO) is an effective method of finding the global optima of black-box functions. Recently BO has been applied to neural architecture search and shows better performance than pure evolutionary strategies. All these…

Machine Learning · Computer Science 2019-05-16 Lizheng Ma , Jiaxu Cui , Bo Yang

The popularity of Bayesian optimization methods for efficient exploration of parameter spaces has lead to a series of papers applying Gaussian processes as surrogates in the optimization of functions. However, most proposed approaches only…

Machine Learning · Statistics 2015-10-16 Javier González , Zhenwen Dai , Philipp Hennig , Neil D. Lawrence

Bayesian optimisation is a popular, surrogate model-based approach for optimising expensive black-box functions. Given a surrogate model, the next location to expensively evaluate is chosen via maximisation of a cheap-to-query acquisition…

Machine Learning · Computer Science 2020-03-31 George De Ath , Richard M. Everson , Jonathan E. Fieldsend , Alma A. M. Rahat

Sparse Gaussian Processes are a key component of high-throughput Bayesian optimisation (BO) loops -- an increasingly common setting where evaluation budgets are large and highly parallelised. By using representative subsets of the available…

Machine Learning · Computer Science 2022-07-14 Henry B. Moss , Sebastian W. Ober , Victor Picheny

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

Real-world optimisation problems typically have objective functions which cannot be expressed analytically. These optimisation problems are evaluated through expensive physical experiments or simulations. Cheap approximations of the…

Neural and Evolutionary Computing · Computer Science 2022-11-01 Mohamed Z. Variawa , Terence L. Van Zyl , Matthew Woolway

Fast machine learning-based surrogate models are trained to emulate slow, high-fidelity engineering simulation models to accelerate engineering design tasks. This introduces uncertainty as the surrogate is only an approximation of the…

Machine Learning · Statistics 2020-10-08 Paul Westermann , Ralph Evins

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

Machine Learning · Computer Science 2019-01-28 Xi Chen , Mike Hobson

Significant effort has been made to solve computationally expensive optimization problems in the past two decades, and various optimization methods incorporating surrogates into optimization have been proposed. Most research focuses on…

Optimization and Control · Mathematics 2022-04-11 Julian Blank , Kalyanmoy Deb

Bayesian posterior distributions arising in modern applications, including inverse problems in partial differential equation models in tomography and subsurface flow, are often computationally intractable due to the large computational cost…

Machine Learning · Statistics 2023-02-10 Tapio Helin , Andrew Stuart , Aretha Teckentrup , Konstantinos Zygalakis