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Multidisciplinary design optimization methods aim at adapting numerical optimization techniques to the design of engineering systems involving multiple disciplines. In this context, a large number of mixed continuous, integer and…

This paper describes a simple, but effective sampling method for optimizing and learning a discrete approximation (or surrogate) of a multi-dimensional function along a one-dimensional line segment of interest. The method does not rely on…

最优化与控制 · 数学 2023-07-21 Dimitri J. Papageorgiou , Jan Kronqvist , Krishnan Kumaran

Black-box optimization problems, which are common in many real-world applications, require optimization through input-output interactions without access to internal workings. This often leads to significant computational resources being…

神经与进化计算 · 计算机科学 2024-03-25 Hao Hao , Xiaoqun Zhang , Aimin Zhou

Most real optimization problems are defined over a mixed search space where the variables are both discrete and continuous. In engineering applications, the objective function is typically calculated with a numerically costly black-box…

Thanks to their versatility, ease of deployment and high-performance, surrogate models have become staple tools in the arsenal of uncertainty quantification (UQ). From local interpolants to global spectral decompositions, surrogates are…

机器学习 · 统计学 2020-02-12 C. Lataniotis , S. Marelli , B. Sudret

Gradient-free optimization methods, such as surrogate based optimization (SBO) methods, and genetic (GAs), or evolutionary (EAs) algorithms have gained popularity in the field of constrained optimization of expensive black-box functions.…

最优化与控制 · 数学 2021-07-22 Ahmed Abouhussein , Nusrat Islam , Yulia T. Peet

MATSuMoTo is the MATLAB Surrogate Model Toolbox for computationally expensive, black-box, global optimization problems that may have continuous, mixed-integer, or pure integer variables. Due to the black-box nature of the objective…

最优化与控制 · 数学 2014-04-17 Juliane Mueller

Bayesian optimization has emerged as a prominent methodology for optimizing expensive black-box functions by leveraging Gaussian process surrogates, which focus on capturing the global characteristics of the objective function. However, in…

机器学习 · 计算机科学 2026-03-03 Qiyu Wei , Haowei Wang , Richard Allmendinger , Mauricio A. Álvarez

The problem of maximizing precision at the top of a ranked list, often dubbed Precision@k (prec@k), finds relevance in myriad learning applications such as ranking, multi-label classification, and learning with severe label imbalance.…

机器学习 · 统计学 2015-05-27 Purushottam Kar , Harikrishna Narasimhan , Prateek Jain

Building local surrogates to accelerate stationary point searches on potential energy surfaces spans decades of effort. Done correctly, surrogates can reduce the number of expensive electronic structure evaluations by roughly an order of…

机器学习 · 统计学 2026-04-30 Rohit Goswami

Decision support systems often rely on solving complex optimization problems that may require to estimate uncertain parameters beforehand. Recent studies have shown how using traditionally trained estimators for this task can lead to…

机器学习 · 计算机科学 2025-12-19 Gaetano Signorelli , Michele Lombardi

Explainable AI is a crucial component for edge services, as it ensures reliable decision making based on complex AI models. Surrogate models are a prominent approach of XAI where human-interpretable models, such as a linear regression…

机器学习 · 计算机科学 2025-03-12 Foivos Charalampakos , Thomas Tsouparopoulos , Iordanis Koutsopoulos

This paper presents a novel learning-based approach to construct a surrogate problem that approximates a given parametric nonconvex optimization problem. The surrogate function is designed to be the minimum of a finite set of functions,…

最优化与控制 · 数学 2026-04-08 Renzi Wang , Panagiotis Patrinos , Alberto Bemporad

Diverse domains of science and engineering use parameterised mechanistic models. Engineers and scientists can often hypothesise several rival models to explain a specific process or phenomenon. Consider a model discrimination setting where…

Solving optimization problems with unknown parameters often requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values. Recent work has shown that including the…

机器学习 · 计算机科学 2020-10-23 Kai Wang , Bryan Wilder , Andrew Perrault , Milind Tambe

Bayesian Optimization is a popular tool for tuning algorithms in automatic machine learning (AutoML) systems. Current state-of-the-art methods leverage Random Forests or Gaussian processes to build a surrogate model that predicts algorithm…

机器学习 · 计算机科学 2021-01-08 Jeroen van Hoof , Joaquin Vanschoren

Not being able to understand and predict the behavior of deep learning systems makes it hard to decide what architecture and algorithm to use for a given problem. In science and engineering, modeling is a methodology used to understand…

机器学习 · 计算机科学 2023-09-15 Michael Y. Li , Erin Grant , Thomas L. Griffiths

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…

神经与进化计算 · 计算机科学 2020-02-11 Xiaoran Ruan , Ke Li , Bilel Derbel , Arnaud Liefooghe

Evolutionary optimization algorithms often face defects and limitations that complicate the evolution processes or even prevent them from reaching the global optimum. A notable constraint pertains to the considerable quantity of function…

神经与进化计算 · 计算机科学 2025-05-23 Farshid Farhadi Khouzani , Abdolreza Mirzaei , Paul La Plante , Laxmi Gewali

Stochastic unit commitment models typically handle uncertainties in forecast demand by considering a finite number of realizations from a stochastic process model for loads. Accurate evaluations of expectations or higher moments for the…

系统与控制 · 计算机科学 2014-07-09 Cosmin Safta , Richard L. Chen , Habib N. Najm , Ali Pinar , Jean-paul watson