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In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

Solving and optimising Partial Differential Equations (PDEs) in geometrically parameterised domains often requires iterative methods, leading to high computational and time complexities. One potential solution is to learn a direct mapping…

Numerical Analysis · Mathematics 2025-06-12 Guglielmo Padula , Gianluigi Rozza

In NeuroEvolution, the topologies of artificial neural networks are optimized with evolutionary algorithms to solve tasks in data regression, data classification, or reinforcement learning. One downside of NeuroEvolution is the large amount…

Neural and Evolutionary Computing · Computer Science 2019-02-12 Jörg Stork , Martin Zaefferer , Thomas Bartz-Beielstein

Parametric shape optimization aims at minimizing an objective function f(x) where x are CAD parameters. This task is difficult when f is the output of an expensive-to-evaluate numerical simulator and the number of CAD parameters is large.…

Machine Learning · Statistics 2021-05-06 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Generative AI models have made significant progress in automating the creation of 3D shapes, which has the potential to transform car design. In engineering design and optimization, evaluating engineering metrics is crucial. To make…

Machine Learning · Computer Science 2023-06-13 Binyang Song , Chenyang Yuan , Frank Permenter , Nikos Arechiga , Faez Ahmed

Optimization problems with nonlinear cost functions and combinatorial constraints appear in many real-world applications but remain challenging to solve efficiently compared to their linear counterparts. To bridge this gap, we propose…

Machine Learning · Computer Science 2023-07-20 Aaron Ferber , Taoan Huang , Daochen Zha , Martin Schubert , Benoit Steiner , Bistra Dilkina , Yuandong Tian

Machine learning has been effective at detecting patterns and predicting the response of systems that behave free of natural laws. Examples include learning crowd dynamics, recommender systems and autonomous mobility. There also have been…

Computational Physics · Physics 2018-12-05 Gregory Teichert , Krishna Garikipati

A surrogate model that accurately predicts distribution system voltages is crucial for reliable smart grid planning and operation. This letter proposes a fixed-point data-driven surrogate modeling method that employs a limited dataset to…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Hoang Tien Nguyen , Young-Jin Kim , Dae-Hyun Choi

The numerical simulation of electromagnetic transients in fusion devices is essential for analyzing plasma stability and disruptive events. However, it remains computationally demanding due to the large-scale dense systems arising from…

Numerical Analysis · Mathematics 2026-05-28 Salvatore Ventre

Stochastic inverse problems are generally solved by some form of finite sampling of a space of uncertain parameters. For computationally expensive models, surrogate response surfaces are often employed to increase the number of samples used…

Numerical Analysis · Mathematics 2018-07-04 Steven Mattis , Barbara Wohlmuth

This paper presents a model order reduction (MOR) approach for high dimensional problems in the analysis of financial risk. To understand the financial risks and possible outcomes, we have to perform several thousand simulations of the…

Computational Finance · Quantitative Finance 2021-06-15 Andreas Binder , Onkar Jadhav , Volker Mehrmann

The energy transition entails a rapid uptake of renewable energy sources. Besides physical changes within the grid infrastructure, energy storage devices and their smart operation are key measures to master the resulting challenges like,…

Optimization and Control · Mathematics 2019-11-13 Manuel Baumann , Sara Grundel , Philipp Sauerteig , Karl Worthmann

With the development of artificial intelligence, simulation-based optimization problems, which present a significant challenge in the process systems engineering community, are increasingly being addressed with the surrogate-based…

Optimization and Control · Mathematics 2025-01-30 Zixuan Zhang , Xiaowei Song , Yujiao Zeng , Jie Li , Yaling Nie , Min Zhu , Jianhua Chen , Linmin Wang , Xin Xiao

Suppressing vibrations in mechanical systems, usually described by second-order dynamical models, is a challenging task in mechanical engineering in terms of computational resources even nowadays. One remedy is structure-preserving model…

Optimization and Control · Mathematics 2023-09-25 Rebekka S. Beddig , Peter Benner , Ines Dorschky , Timo Reis , Paul Schwerdtner , Matthias Voigt , Steffen W. R. Werner

When evaluating quantities of interest that depend on the solutions to differential equations, we inevitably face the trade-off between accuracy and efficiency. Especially for parametrized, time dependent problems in engineering…

Numerical Analysis · Mathematics 2022-12-21 Paolo Conti , Mengwu Guo , Andrea Manzoni , Jan S. Hesthaven

We present a new surrogate modeling technique for efficient approximation of input-output maps governed by parametrized PDEs. The model is hierarchical as it is built on a full order model (FOM), reduced order model (ROM) and…

Numerical Analysis · Mathematics 2022-12-05 B. Haasdonk , H. Kleikamp , M. Ohlberger , F. Schindler , T. Wenzel

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

Adaptive designs are increasingly used in clinical trials and online experiments to improve participant outcomes by dynamically updating treatment allocation as data accumulate. In practice, experimenters often consider multiple candidate…

Methodology · Statistics 2026-04-08 Wenxin Zhang , Aaron Hudson , Maya Petersen , Mark van der Laan

We introduce a local surrogate approach for explainable time-series forecasting. An initially non-interpretable predictive model to improve the forecast of a classical time-series 'base model' is used. 'Explainability' of the correction is…

Machine Learning · Statistics 2025-01-17 Alfredo Lopez , Florian Sobieczky

Vertical equilibrium (VE) models have been introduced as computationally efficient alternatives to traditional mass and momentum balance equations for fluid flow in porous media. Since VE models are only accurate in regions where phase…

Fluid Dynamics · Physics 2026-04-21 Ivan Buntic , Bernd Flemisch