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Design and optimal control problems are among the fundamental, ubiquitous tasks we face in science and engineering. In both cases, we aim to represent and optimize an unknown (black-box) function that associates a performance/outcome to a…

Machine Learning · Computer Science 2021-10-27 Sifan Wang , Mohamed Aziz Bhouri , Paris Perdikaris

Surrogate strategies are used widely for uncertainty quantification of groundwater models in order to improve computational efficiency. However, their application to dynamic multiphase flow problems is hindered by the curse of…

Machine Learning · Statistics 2019-05-02 Shaoxing Mo , Yinhao Zhu , Nicholas Zabaras , Xiaoqing Shi , Jichun Wu

Numerically solving a large parametric nonlinear dynamical system is challenging due to its high complexity and the high computational costs. In recent years, machine-learning-aided surrogates are being actively researched. However, many…

Machine Learning · Computer Science 2024-10-18 Shuwen Sun , Lihong Feng , Peter Benner

This study aims to provide a comprehensive assessment of single-objective and multi-objective optimisation algorithms for the design of an elbow-type draft tube, as well as to introduce a computationally efficient optimisation workflow. The…

Optimization and Control · Mathematics 2024-01-18 Ante Sikirica , Ivana Lučin , Marta Alvir , Lado Kranjčević , Zoran Čarija

Energy demand has increased considerably with the growth of world population, increasing the interest in the hydrocarbon reservoir management problem. Companies are concerned with maximizing oil recovery while minimizing capital investment…

Optimization and Control · Mathematics 2015-04-28 Grazieli L. C. Carosio , Thomas D. Humphries , Ronald D. Haynes , Colin G. Farquharson

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…

The modeling and forecasting of sea ice conditions in the Arctic region are important tasks for ship routing, offshore oil production, and environmental monitoring. We propose the adaptive surrogate modeling approach named LANE-SI…

Machine Learning · Computer Science 2023-12-08 Julia Borisova , Nikolay O. Nikitin

Recent developments in surrogate construction predominantly focused on two strategies to improve surrogate accuracy. Firstly, component-wise domain scaling informed by cross-validation. Secondly, regression to construct response surfaces…

Optimization and Control · Mathematics 2023-04-03 Johann Bouwer , Daniel N. Wilke , Schalk Kok

Recent progress in reinforcement learning (RL) has started producing generally capable agents that can solve a distribution of complex environments. These agents are typically tested on fixed, human-authored environments. On the other hand,…

Artificial Intelligence · Computer Science 2022-10-13 Varun Bhatt , Bryon Tjanaka , Matthew C. Fontaine , Stefanos Nikolaidis

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

Machine Learning · Statistics 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

Stochastic, iterative search methods such as Evolutionary Algorithms (EAs) are proven to be efficient optimizers. However, they require evaluation of the candidate solutions which may be prohibitively expensive in many real world…

Neural and Evolutionary Computing · Computer Science 2013-03-12 Maumita Bhattacharya

Stochastic gradient descent (SGD) is a widely adopted iterative method for optimizing differentiable objective functions. In this paper, we propose and discuss a novel approach to scale up SGD in applications involving non-convex functions…

Machine Learning · Statistics 2022-10-07 Saad Mohamad , Hamad Alamri , Abdelhamid Bouchachia

Very expensive problems are very common in practical system that one fitness evaluation costs several hours or even days. Surrogate assisted evolutionary algorithms (SAEAs) have been widely used to solve this crucial problem in the past…

Neural and Evolutionary Computing · Computer Science 2019-10-28 Hao Tong , Changwu Huang , Jialin Liu , Xin Yao

With the scaling up of crude oil scheduling in modern refineries, large-scale crude oil scheduling problems (LSCOSPs) emerge with thousands of binary variables and non-linear constraints, which are challenging to be optimized by traditional…

Neural and Evolutionary Computing · Computer Science 2024-01-22 Wanting Zhang , Wei Du , Guo Yu , Renchu He , Wenli Du , Yaochu Jin

This paper introduces neuroevolution for solving differential equations. The solution is obtained through optimizing a deep neural network whose loss function is defined by the residual terms from the differential equations. Recent studies…

Neural and Evolutionary Computing · Computer Science 2021-05-06 Jian Cheng Wong , Abhishek Gupta , Yew-Soon Ong

Neural networks (NNs) have gained significant attention across various engineering disciplines, particularly in design optimization, where they are used to build surrogate models for high-dimensional regression problems. Despite their power…

Computational Engineering, Finance, and Science · Computer Science 2026-03-30 Timm Gödde , Eisso H. Atzema , Bojana Rosić

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 2018-02-28 Zhigang Ren , Bei Pang , Yongsheng Liang , An Chen , Yipeng Zhang

Stochastic Gradient Descent (SGD) has played a central role in machine learning. However, it requires a carefully hand-picked stepsize for fast convergence, which is notoriously tedious and time-consuming to tune. Over the last several…

Machine Learning · Computer Science 2019-06-10 Zhenxun Zhuang , Ashok Cutkosky , Francesco Orabona

In physics and engineering, many processes are modeled using non-differentiable black-box simulators, making the optimization of such functions particularly challenging. To address such cases, inspired by the Gradient Theorem, we propose…

Differential evolution (DE) is a well-known type of evolutionary algorithms (EA). Similarly to other EA variants it can suffer from small populations and loose diversity too quickly. This paper presents a new approach to mitigate this…

Neural and Evolutionary Computing · Computer Science 2020-02-10 Jakub M. Tomczak , Ewelina Weglarz-Tomczak , Agoston E. Eiben