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Efficient Global Optimization (EGO) is the canonical form of Bayesian optimization that has been successfully applied to solve global optimization of expensive-to-evaluate black-box problems. However, EGO struggles to scale with dimension,…

最优化与控制 · 数学 2022-04-26 Youssef Diouane , Victor Picheny , Rodolphe Le Riche , Alexandre Scotto Di Perrotolo

Efficient Global Optimization (EGO) is widely used for the optimization of computationally expensive black-box functions. It uses a surrogate modeling technique based on Gaussian Processes (Kriging). However, due to the use of a stationary…

最优化与控制 · 数学 2018-09-14 Ali Hebbal , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Nouredine Melab

This paper considers global optimization with a black-box unknown objective function that can be non-convex and non-differentiable. Such a difficult optimization problem arises in many real-world applications, such as parameter tuning in…

最优化与控制 · 数学 2016-07-19 Kenji Kawaguchi , Yu Maruyama , Xiaoyu Zheng

Compared with the fixed-run designs, the sequential adaptive designs (SAD) are thought to be more efficient and effective. Efficient global optimization (EGO) is one of the most popular SAD methods for expensive black-box optimization…

机器学习 · 计算机科学 2020-10-22 Jianhui Ning , Yao Xiao , Zikang Xiong

Bayesian optimization (BO) is a popular global optimization scheme for sample-efficient optimization in domains with expensive function evaluations. The existing BO techniques are capable of finding a single global optimum solution.…

最优化与控制 · 数学 2023-08-08 Yongsheng Mei , Tian Lan , Mahdi Imani , Suresh Subramaniam

Optimization of very expensive black-box functions requires utilization of maximum information gathered by the process of optimization. Model Guided Sampling Optimization (MGSO) forms a more robust alternative to Jones'…

神经与进化计算 · 计算机科学 2015-09-01 Lukas Bajer , Martin Holena

Efficient global optimization (EGO) is one of the most widely used noise-free Bayesian optimization algorithms.It comprises the Gaussian process (GP) surrogate model and expected improvement (EI) acquisition function. In practice, when EGO…

The objective of this Philosophiae Doctor (Ph.D) thesis is to propose an efficient approach for optimizing a multidisciplinary black-box model when the optimization problem is constrained and involves a large number of mixed integer design…

最优化与控制 · 数学 2025-07-24 Paul Saves

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…

机器学习 · 统计学 2021-07-12 Lucia Asencio Martín , Eduardo C. Garrido-Merchán

We study the problem of constrained efficient global optimization, where both the objective and constraints are expensive black-box functions that can be learned with Gaussian processes. We propose CONFIG (CONstrained efFIcient Global…

最优化与控制 · 数学 2025-02-07 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Contemporary global optimization algorithms are based on local measures of utility, rather than a probability measure over location and value of the optimum. They thus attempt to collect low function values, not to learn about the optimum.…

机器学习 · 统计学 2011-12-07 Philipp Hennig , Christian J. Schuler

Electromagnetismlike Optimization (EMO) is a global optimization algorithm, particularly well suited to solve problems featuring nonlinear and multimodal cost functions. EMO employs searcher agents that emulate a population of charged…

人工智能 · 计算机科学 2014-05-21 Erik Cuevas , Diego Oliva , Daniel Zaldivar , Marco Perez , Gonzalo Pajares

A new technique of global optimization and its applications in particular to neural networks are presented. The algorithm is also compared to other global optimization algorithms such as Gradient descent (GD), Monte Carlo (MC), Genetic…

分布式、并行与集群计算 · 计算机科学 2020-12-18 Homayoun Valafar , Okan K. Ersoy , Faramarz Valafar

The Efficient Global Optimization (EGO) algorithm uses a conditional Gaus-sian Process (GP) to approximate an objective function known at a finite number of observation points and sequentially adds new points which maximize the Expected…

最优化与控制 · 数学 2016-03-09 Hossein Mohammadi , Rodolphe Le Riche , Eric Touboul

The research area of evolutionary multiobjective optimization (EMO) is reaching better understandings of the properties and capabilities of EMO algorithms, and accumulating much evidence of their worth in practical scenarios. An urgent…

神经与进化计算 · 计算机科学 2009-08-24 David Corne , Joshua Knowles

Offline optimization aims to maximize a black-box objective function with a static dataset and has wide applications. In addition to the objective function being black-box and expensive to evaluate, numerous complex real-world problems…

机器学习 · 计算机科学 2024-06-07 Ke Xue , Rong-Xi Tan , Xiaobin Huang , Chao Qian

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

机器学习 · 计算机科学 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

Multi-objective optimization is a widely studied problem in diverse fields, such as engineering and finance, that seeks to identify a set of non-dominated solutions that provide optimal trade-offs among competing objectives. However, the…

神经与进化计算 · 计算机科学 2024-01-15 Arash Heidari , Sebastian Rojas Gonzalez , Tom Dhaene , Ivo Couckuyt

Finding global optima in high-dimensional optimization problems is extremely challenging since the number of function evaluations required to sufficiently explore the search space increases exponentially with its dimensionality.…

机器学习 · 计算机科学 2022-11-04 Julian F. Schumann , Alejandro M. Aragón

In this paper, global optimization (GO) Lipschitz problems are considered where the multi-dimensional multiextremal objective function is determined over a hyperinterval. An efficient one-dimensional GO method using local tuning on the…

最优化与控制 · 数学 2011-03-21 Dmitri E. Kvasov , Clara Pizzuti , Yaroslav D. Sergeyev
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