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Evolutionary algorithms often struggle to find well converged (e.g small inverted generational distance on test problems) solutions to multi-objective optimization problems on a limited budget of function evaluations (here, a few hundred).…

Neural and Evolutionary Computing · Computer Science 2025-04-30 Christopher M. Pierce , Young-Kee Kim , Ivan Bazarov

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

In many mechanistic medical, biological, physical and engineered spatiotemporal dynamic models the numerical solution of partial differential equations (PDEs) can make simulations impractically slow. Biological models require the…

Soft Condensed Matter · Physics 2021-02-11 J. Quetzalcóatl Toledo-Marín , Geoffrey Fox , James P. Sluka , James A. Glazier

This paper presents a neural network--enhanced surrogate modeling approach for diffusion problems with spatially varying random field coefficients. The method builds on numerical homogenization, which compresses fine-scale coefficients into…

Numerical Analysis · Mathematics 2025-09-17 Fabian Kröpfl , Daniel Peterseim , Elisabeth Ullmann

Modern neural architecture search (NAS) is inherently multi-objective, balancing trade-offs such as accuracy, parameter count, and computational cost. This complexity makes NAS computationally expensive and nearly impossible to solve…

Machine Learning · Computer Science 2025-06-04 Yuyang Zhou , Ferrante Neri , Yew-Soon Ong , Ruibin Bai

There is an abundance of prior research on the optimization of production systems, but there is a research gap when it comes to optimizing which components should be included in a design, and how they should be connected. To overcome this…

Neural and Evolutionary Computing · Computer Science 2024-02-05 N. Paape , J. A. W. M. van Eekelen , M. A. Reniers

Neuroevolution methods evolve the weights of a neural network, and in some cases the topology, but little work has been done to analyze the effect of evolving the activation functions of individual nodes on network size, which is important…

Neural and Evolutionary Computing · Computer Science 2017-03-22 Alexander Hagg , Maximilian Mensing , Alexander Asteroth

We demonstrate the adaption of three established methods to the field of surrogate machine learning model development. These methods are data augmentation, custom loss functions and transfer learning. Each of these methods have seen…

Machine Learning · Computer Science 2022-11-04 H. Rhys Jones , Tingting Mu , Andrei C. Popescu , Yusuf Sulehman

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

Machine Learning · Computer Science 2019-01-28 Xi Chen , Mike Hobson

Aerodynamic optimization is crucial for developing eco-friendly, aerodynamic, and stylish cars, which requires close collaboration between aerodynamicists and stylists, a collaboration impaired by the time-consuming nature of aerodynamic…

Machine Learning · Computer Science 2025-08-05 Sam Jacob Jacob , Markus Mrosek , Carsten Othmer , Harald Köstler

The effective contact area in rough surface contact plays a critical role in multi-physics phenomena such as wear, sealing, and thermal or electrical conduction. Although accurate numerical methods, like the Boundary Element Method (BEM),…

Computational Engineering, Finance, and Science · Computer Science 2025-04-25 Tarik Sahin , Jacopo Bonari , Sebastian Brandstaeter , Alexander Popp

The development of a reliable and robust surrogate model is often constrained by the dimensionality of the problem. For a system with high-dimensional inputs/outputs (I/O), conventional approaches usually use a low-dimensional manifold to…

Image and Video Processing · Electrical Eng. & Systems 2020-10-01 Xihaier Luo , Ahsan Kareem

We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model evaluations are computationally expensive. We present a…

Machine Learning · Computer Science 2026-04-02 Josephine Westermann , Benno Huber , Thomas O'Leary-Roseberry , Jakob Zech

Evolutionary algorithms provide gradient-free optimisation which is beneficial for models that have difficulty in obtaining gradients; for instance, geoscientific landscape evolution models. However, such models are at times computationally…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-28 Rohitash Chandra , Yash Vardhan Sharma

Multi-Objective Evolutionary Algorithms (MOEAs) have proven effective at solving Multi-Objective Optimisation Problems (MOOPs). However, their performance can be significantly hindered when applied to computationally intensive industrial…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Tiwonge Msulira Banda , Alexandru-Ciprian Zăvoianu

Biophysical neural system simulations are among the most computationally demanding scientific applications, and their optimization requires navigating high-dimensional parameter spaces under numerous constraints that impose a binary…

Surrogate-assisted evolutionary algorithms have been widely developed to solve complex and computationally expensive multi-objective optimization problems in recent years. However, when dealing with high-dimensional optimization problems,…

Neural and Evolutionary Computing · Computer Science 2024-03-19 Guodong Chen , Jiu Jimmy Jiao , Xiaoming Xue , Zhongzheng Wang

Performing simulations with a realistic biophysical auditory nerve fiber model can be very time consuming, due to the complex nature of the calculations involved. Here, a surrogate (approximate) model of such an auditory nerve fiber model…

Neurons and Cognition · Quantitative Biology 2022-11-15 Jacob de Nobel , Anna V. Kononova , Jeroen Briaire , Johan Frijns , Thomas Bäck

Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be…

Computational Physics · Physics 2020-02-25 Jim Magiera , Deep Ray , Jan S. Hesthaven , Christian Rohde

We propose a novel surrogate-assisted Evolutionary Algorithm for solving expensive combinatorial optimization problems. We integrate a surrogate model, which is used for fitness value estimation, into a state-of-the-art P3-like variant of…

Neural and Evolutionary Computing · Computer Science 2021-04-19 Arkadiy Dushatskiy , Tanja Alderliesten , Peter A. N. Bosman