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Many science and engineering applications feature non-convex optimization problems where the objective function can not be handled analytically, i.e. it is a black box. Examples include design optimization via experiments, or via costly…

Optimization and Control · Mathematics 2022-02-18 Lorenzo Sabug , Fredy Ruiz , Lorenzo Fagiano

When solving global optimization problems in practice, one often ends up repeatedly solving problems that are similar to each others. By providing a rigorous definition of similarity, in this work we propose to incorporate the META-learning…

Optimization and Control · Mathematics 2023-05-02 Riccardo Busetto , Valentina Breschi , Simone Formentin

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…

Optimization and Control · Mathematics 2016-07-19 Kenji Kawaguchi , Yu Maruyama , Xiaoyu Zheng

In this paper, the problem of safe global maximization (it should not be confused with robust optimization) of expensive noisy black-box functions satisfying the Lipschitz condition is considered. The notion "safe" means that the objective…

Optimization and Control · Mathematics 2020-08-18 Yaroslav D. Sergeyev , Antonio Candelieri , Dmitri E. Kvasov , Riccardo Perego

Many approaches for addressing Global Optimization problems typically rely on relaxations of nonlinear constraints over specific mathematical primitives. This is restricting in applications with constraints that are black-box, implicit or…

Optimization and Control · Mathematics 2025-01-03 Dimitris Bertsimas , Georgios Margaritis

The global optimization of a high-dimensional black-box function under black-box constraints is a pervasive task in machine learning, control, and engineering. These problems are challenging since the feasible set is typically non-convex…

Machine Learning · Computer Science 2021-03-02 David Eriksson , Matthias Poloczek

Existing Meta-Black-Box Optimization (MetaBBO) methods focus on how to search when controlling optimizers, but largely overlook where to search. We propose MetaSG-SAEA, a bi-level MetaBBO framework for expensive constrained multi-objective…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Yukun Du , Haiyue Yu , Jiang Jiang , Shuaiwen Tang , Xiaotong Xie , Haobo Liu , Chongshuang Hu , Shengkun Chang

The global optimization literature places large emphasis on reducing intractable optimization problems into more tractable structured optimization forms. In order to achieve this goal, many existing methods are restricted to optimization…

Optimization and Control · Mathematics 2025-04-28 Dimitris Bertsimas , Berk Öztürk

Black-box and preference-based optimization algorithms are global optimization procedures that aim to find the global solutions of an optimization problem using, respectively, the least amount of function evaluations or sample comparisons…

Optimization and Control · Mathematics 2022-02-04 Davide Previtali , Mirko Mazzoleni , Antonio Ferramosca , Fabio Previdi

Black-box global optimization aims at minimizing an objective function whose analytical form is not known. To do so, many state-of-the-art methods rely on sampling-based strategies, where sampling distributions are built in an iterative…

Optimization and Control · Mathematics 2024-09-30 Thomas Guilmeau , Emilie Chouzenoux , Víctor Elvira

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,…

Optimization and Control · Mathematics 2022-04-26 Youssef Diouane , Victor Picheny , Rodolphe Le Riche , Alexandre Scotto Di Perrotolo

Many challenges in science and engineering, such as drug discovery and communication network design, involve optimizing complex and expensive black-box functions across vast search spaces. Thus, it is essential to leverage existing data to…

Machine Learning · Computer Science 2024-12-04 Juncheng Dong , Zihao Wu , Hamid Jafarkhani , Ali Pezeshki , Vahid Tarokh

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

In this paper, the global optimization problem $\min_{y\in S} F(y)$ with $S$ being a hyperinterval in $\Re^N$ and $F(y)$ satisfying the Lipschitz condition with an unknown Lipschitz constant is considered. It is supposed that the function…

Optimization and Control · Mathematics 2015-09-14 Daniela Lera , Yaroslav D. Sergeyev

We consider minimizing functions for which it is expensive to compute the (possibly stochastic) gradient. Such functions are prevalent in reinforcement learning, imitation learning and adversarial training. Our target optimization framework…

Machine Learning · Computer Science 2023-06-09 Jonathan Wilder Lavington , Sharan Vaswani , Reza Babanezhad , Mark Schmidt , Nicolas Le Roux

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…

Optimization and Control · Mathematics 2025-02-07 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Optimizing costly black-box functions within a constrained evaluation budget presents significant challenges in many real-world applications. Surrogate Optimization (SO) is a common resolution, yet its proprietary nature introduced by the…

Machine Learning · Computer Science 2024-10-21 Nazanin Nezami , Hadis Anahideh

We are focusing on bound constrained global optimization problems, whose objective functions are computationally expensive black-box functions and have multiple local minima. The recently popular Metric Stochastic Response Surface (MSRS)…

Machine Learning · Statistics 2014-10-24 Yilun Wang , Christine A. Shoemaker

We present two first-order, sequential optimization algorithms to solve constrained optimization problems. We consider a black-box setting with a priori unknown, non-convex objective and constraint functions that have Lipschitz continuous…

Optimization and Control · Mathematics 2020-11-19 Abraham P. Vinod , Arie Israel , Ufuk Topcu

Black-box optimization (BBO) algorithms are concerned with finding the best solutions for problems with missing analytical details. Most classical methods for such problems are based on strong and fixed a priori assumptions, such as…

Machine Learning · Computer Science 2023-02-01 Minfang Lu , Shuai Ning , Shuangrong Liu , Fengyang Sun , Bo Zhang , Bo Yang , Lin Wang
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