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In climate systems, physiological models, optics, and many more, surrogate models are developed to reconstruct chaotic dynamical systems. We introduce four data-driven measures using global attractor properties to evaluate the quality of…

Computational Physics · Physics 2025-06-12 Luci Fumagalli , Kathy Lüdge , Jana de Wiljes , Heikki Haario , Lina Jaurigue

Solving complex real problems often demands advanced algorithms, and then continuous improvements in the internal operations of a search technique are needed. Hybrid algorithms, parallel techniques, theoretical advances, and much more are…

Neural and Evolutionary Computing · Computer Science 2025-08-12 Tomohiro Harada , Enrique Alba , Gabriel Luque

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

Machine Learning · Computer Science 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

In simulation-based engineering, design choices are often obtained following the optimization of complex blackbox models. These models frequently involve mixed-variable domains with quantitative and categorical variables. Unlike…

Optimization and Control · Mathematics 2026-03-31 Charles Audet , Youssef Diouane , Edward Hallé-Hannan , Sébastien Le Digabel , Christophe Tribes

In this paper, we propose a novel approach (SAPEO) to support the survival selection process in multi-objective evolutionary algorithms with surrogate models - it dynamically chooses individuals to evaluate exactly based on the model…

Neural and Evolutionary Computing · Computer Science 2016-11-02 Vanessa Volz , Günter Rudolph , Boris Naujoks

Surrogate-assisted evolutionary algorithms (SAEAs) have been proposed to solve expensive optimization problems. Although SAEAs use surrogate models that approximate the evaluations of solutions using machine learning techniques, prior…

Neural and Evolutionary Computing · Computer Science 2026-01-21 Yuki Hanawa , Tomohiro Harada , Yukiya Miura

This paper propose a new frame work for finding global minima which we call optimization by cut. In each iteration, it takes some samples from the feasible region and evaluates the objective function at these points. Based on the…

Systems and Control · Electrical Eng. & Systems 2022-07-14 Yuanyuan Liu

Gaussian process (GP) model based optimization is widely applied in simulation and machine learning. In general, it first estimates a GP model based on a few observations from the true response and then employs this model to guide the…

Machine Learning · Statistics 2021-07-08 Qun Meng , Songhao Wang , Szu Hui Ng

Bayesian optimization (BO) is a widely used method for data-driven optimization that generally relies on zeroth-order data of objective function to construct probabilistic surrogate models. These surrogates guide the…

Machine Learning · Computer Science 2025-08-08 Georgios Makrygiorgos , Joshua Hang Sai Ip , Ali Mesbah

This paper presents a practical global optimization algorithm for the K-center clustering problem, which aims to select K samples as the cluster centers to minimize the maximum within-cluster distance. This algorithm is based on a…

Optimization and Control · Mathematics 2026-03-04 Jiayang Ren , Ningning You , Kaixun Hua , Chaojie Ji , Yankai Cao

Optimization problems aim to find the optimal solution, which is becoming increasingly complex and difficult to solve. Traditional evolutionary optimization methods always overlook the granular characteristics of solution space. In the real…

Machine Learning · Computer Science 2025-02-19 Shuyin Xia , Xinyu Lin , Guan Wang , De-Gang Chen , Sen Zhao , Guoyin Wang , Jing Liang

We study an extension of contextual stochastic linear optimization (CSLO) that, in contrast to most of the existing literature, involves inequality constraints that depend on uncertain parameters predicted by a machine learning model. To…

Machine Learning · Computer Science 2025-05-30 Hyungki Im , Wyame Benslimane , Paul Grigas

Bayesian optimization (BO) has demonstrated potential for optimizing control performance in data-limited settings, especially for systems with unknown dynamics or unmodeled performance objectives. The BO algorithm efficiently trades-off…

Machine Learning · Computer Science 2022-11-02 Ankush Chakrabarty

Bayesian Optimization (BO), guided by Gaussian process (GP) surrogates, has proven to be an invaluable technique for efficient, high-dimensional, black-box optimization, a critical problem inherent to many applications such as industrial…

Offline model-based optimization (MBO) aims to identify a design that maximizes a black-box function using only a fixed, pre-collected dataset of designs and their corresponding scores. A common approach in offline MBO is to train a…

Machine Learning · Computer Science 2025-05-05 Rong-Xi Tan , Ke Xue , Shen-Huan Lyu , Haopu Shang , Yao Wang , Yaoyuan Wang , Sheng Fu , Chao Qian

Bayesian optimization devolves the global optimization of a costly objective function to the global optimization of a sequence of acquisition functions. This inner-loop optimization can be catastrophically difficult if it involves posterior…

Machine Learning · Computer Science 2025-04-02 Taiwo A. Adebiyi , Bach Do , Ruda Zhang

Sample efficiency is one of the key factors when applying policy search to real-world problems. In recent years, Bayesian Optimization (BO) has become prominent in the field of robotics due to its sample efficiency and little prior…

Robotics · Computer Science 2020-11-19 Lukas P. Fröhlich , Melanie N. Zeilinger , Edgar D. Klenske

Consensus-based optimization (CBO) is a powerful and versatile zero-order multi-particle method designed to provably solve high-dimensional global optimization problems, including those that are genuinely nonconvex or nonsmooth. The method…

Optimization and Control · Mathematics 2026-02-13 Massimo Fornasier , Hui Huang , Jona Klemenc , Greta Malaspina

This paper presents a fast method for global search of atomic structures at ab initio level. The structures global optimization (SGO) engine consists of a high-efficiency differential evolution algorithm, accelerated local relaxation…

Materials Science · Physics 2017-09-13 Zhanghui Chen , Weile Jia , Lin-Wang Wang

Real-world problems often involve the optimization of several objectives under multiple constraints. An example is the hyper-parameter tuning problem of machine learning algorithms. In particular, the minimization of the estimation of the…

Machine Learning · Statistics 2021-07-02 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato
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