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In this paper we present a data driven approach for approximating dynamical systems. A dynamics is approximated using basis functions, which are derived from maximization of the information-theoretic entropy, and can be generated directly…

Dynamical Systems · Mathematics 2019-11-11 Vedang M. Deshpande , Raktim Bhattacharya

In recent decades, the main focus of computer modeling has been on supporting the design and development of engineering prototyes, but it is now ubiquitous in non-traditional areas such as medical rehabilitation. Conventional modeling…

Machine Learning · Computer Science 2024-09-13 Jonas Kneifl , David Rosin , Oliver Röhrle , Jörg Fehr

Oilfield development related decisions are made using reservoir simulation-based optimization study in which different production scenarios and well controls are compared. Such simulations are computationally expensive and so surrogate…

Machine Learning · Computer Science 2022-03-01 Ajitabh Kumar

Fast and reliable surrogate models are critical for optimization, control and uncertainty analysis in geological carbon-storage projects, yet high-fidelity multiphase simulators remain too expensive. Dynamic Mode Decomposition (DMD) offers…

Computational Physics · Physics 2026-02-24 Dimitrios Voulanas , Eduardo Gildin

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…

The increased penetration of wind power introduces more operational changes of critical corridors and the traditional time-consuming transient stability constrained total transfer capability (TTC) operational planning is unable to meet the…

Systems and Control · Electrical Eng. & Systems 2020-06-30 Gao Qiu , Youbo Liu , Junyong Liu , Junbo Zhao , Lingfeng Wang , Tingjian Liu , Hongjun Gao

This work introduces a surrogate-based model for efficiently estimating the frequency response of dynamic mechanical metamaterials, particularly when dealing with large parametric perturbations and aperiodic substructures. The research…

Computational Engineering, Finance, and Science · Computer Science 2025-11-06 J. Pereira , R. O. Ruiz

It has been shown that cooperative coevolution (CC) can effectively deal with large scale optimization problems (LSOPs) through a divide-and-conquer strategy. However, its performance is severely restricted by the current…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Bei Pang , Zhigang Ren , Yongsheng Liang , An Chen

The spatiotemporal resolution of Partial Differential Equations (PDEs) plays important roles in the mathematical description of the world's physical phenomena. In general, scientists and engineers solve PDEs numerically by the use of…

Artificial Intelligence · Computer Science 2023-06-29 Lucas Meyer , Marc Schouler , Robert Alexander Caulk , Alejandro Ribés , Bruno Raffin

Multitask learning is widely used in practice to train a low-resource target task by augmenting it with multiple related source tasks. Yet, naively combining all the source tasks with a target task does not always improve the prediction…

Machine Learning · Computer Science 2023-12-29 Dongyue Li , Huy L. Nguyen , Hongyang R. Zhang

Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

Optimization and Control · Mathematics 2024-12-12 Mengjia Zhu , Alberto Bemporad

Automatically optimizing the hyperparameters of Machine Learning algorithms is one of the primary open questions in AI. Existing work in Hyperparameter Optimization (HPO) trains surrogate models for approximating the response surface of…

Machine Learning · Computer Science 2023-05-23 Abdus Salam Khazi , Sebastian Pineda Arango , Josif Grabocka

In this paper, we develop upon the topic of loss function learning, an emergent meta-learning paradigm that aims to learn loss functions that significantly improve the performance of the models trained under them. Specifically, we propose a…

Neural and Evolutionary Computing · Computer Science 2024-03-05 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

Optimization plays an important role in chemical engineering, impacting cost-effectiveness, resource utilization, product quality, and process sustainability metrics. This chapter broadly focuses on data-driven optimization, particularly,…

Optimization and Control · Mathematics 2024-12-19 Mathias Neufang , Emma Pajak , Damien van de Berg , Ye Seol Lee , Ehecatl Antonio del Rio Chanona

Surrogate models are widely used in mechanical design and manufacturing process optimization, where high-fidelity computational models may be unavailable or prohibitively expensive. Their effectiveness, however, is often limited by data…

Machine Learning · Computer Science 2026-03-03 Bingran Wang , Seongha Jeong , Sebastiaan P. C. van Schie , Dongyeon Han , Jaeho Min , John T. Hwang

This paper presents a particle swarm optimization algorithm that leverages surrogate modeling to replace the conventional global best solution with the minimum of an n-dimensional quadratic form, providing a better-conditioned dynamic…

Neural and Evolutionary Computing · Computer Science 2026-03-19 Maurizio Clemente , Marcello Canova

Derivative-Free Optimization (DFO) involves methods that rely solely on evaluations of the objective function. One of the earliest strategies for designing DFO methods is to adapt first-order methods by replacing gradients with…

Optimization and Control · Mathematics 2025-02-12 Timothé Taminiau , Estelle Massart , Geovani Nunes Grapiglia

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 considers the efficient minimization of the infinite time average of a stationary ergodic process in the space of a handful of design parameters which affect it. Problems of this class, derived from physical or numerical…

Optimization and Control · Mathematics 2019-10-29 Pooriya Beyhaghi , Ryan Alimo , Thomas Bewley

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

Computational Physics · Physics 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe