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In this paper, we present a deep surrogate model for learning the Green's function associated with the reaction-diffusion operator in rectangular domain. The U-Net architecture is utilized to effectively capture the mapping from source to…

Numerical Analysis · Mathematics 2023-10-06 Junqing Ji , Lili Ju , Xiaoping Zhang

Poroelasticity -- coupled fluid flow and elastic deformation in porous media -- often involves spatially variable permeability, especially in subsurface systems. In such cases, simulations with random permeability fields are widely used for…

Machine Learning · Computer Science 2025-09-16 Sangjoon Park , Yeonjong Shin , Jinhyun Choo

Mathematical models of the human heart are increasingly playing a vital role in understanding the working mechanisms of the heart, both under healthy functioning and during disease. The aim is to aid medical practitioners diagnose and treat…

Numerical Analysis · Mathematics 2023-11-13 Sridhar Chellappa , Barış Cansız , Lihong Feng , Peter Benner , Michael Kaliske

Learning controller parameters from closed-loop data has been shown to improve closed-loop performance. Bayesian optimization, a widely used black-box and sample-efficient learning method, constructs a probabilistic surrogate of the…

Machine Learning · Computer Science 2025-12-15 Sebastian Hirt , Valentinus Suwanto , Hendrik Alsmeier , Maik Pfefferkorn , Rolf Findeisen

We propose a multi-fidelity neural network surrogate sampling method for the uncertainty quantification of physical/biological systems described by ordinary or partial differential equations. We first generate a set of low/high-fidelity…

Numerical Analysis · Mathematics 2020-05-07 Mohammad Motamed

A critical bottleneck for scientific progress is the costly nature of computer simulations for complex systems. Surrogate models provide an appealing solution: such models are trained on simulator evaluations, then used to emulate and…

Machine Learning · Statistics 2025-07-14 Xinming Wang , Simon Mak , John Miller , Jianguo Wu

Surrogate neural network-based models have been lately trained and used in a variety of science and engineering applications where the number of evaluations of a target function is limited by execution time. In cell phone camera systems,…

Computational Engineering, Finance, and Science · Computer Science 2022-06-29 Shantanu Shahane , Erman Guleryuz , Diab W Abueidda , Allen Lee , Joe Liu , Xin Yu , Raymond Chiu , Seid Koric , Narayana R Aluru , Placid M Ferreira

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

Numerical Analysis · Mathematics 2024-04-03 Phillip Semler , Martin Weiser

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

Smart distribution grids should efficiently integrate stochastic renewable resources while effecting voltage regulation. The design of energy management schemes is challenging, one of the reasons being that energy management is a multistage…

Optimization and Control · Mathematics 2016-08-19 Luis M. Lopez-Ramos , Vassilis Kekatos , Antonio G. Marques , Georgios B. Giannakis

This paper addresses the challenge of neural state estimation in power distribution systems. We identified a research gap in the current state of the art, which lies in the inability of models to adapt to changes in the power grid, such as…

Machine Learning · Computer Science 2025-06-03 Aleksandr Berezin , Stephan Balduin , Thomas Oberließen , Sebastian Peter , Eric MSP Veith

We present a fast and accurate data-driven surrogate model for divertor plasma detachment prediction leveraging the latent feature space concept in machine learning research. Our approach involves constructing and training two neural…

For economic nonlinear model predictive control and dynamic real-time optimization fast and accurate models are necessary. Consequently, the use of dynamic surrogate models to mimic complex rigorous models is increasingly coming into focus.…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Torben Talis , Joris Weigert , Erik Esche , Jens-Uwe Repke

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

Applications · Statistics 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

Solving the alternating current power flow equations in real time is essential for secure grid operation, yet classical Newton-Raphson solvers can be slow under stressed conditions. Existing graph neural networks for power flow are…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Chidozie Ezeakunne , Jose E. Tabarez , Reeju Pokharel , Anup Pandey

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…

Machine Learning · Computer Science 2025-03-12 Foivos Charalampakos , Thomas Tsouparopoulos , Iordanis Koutsopoulos

Monte Carlo simulation is often used for the reliability assessment of power systems, but it converges slowly when the system is complex. Multilevel Monte Carlo (MLMC) can be applied to speed up computation without compromises on model…

Computation · Statistics 2022-07-12 Ensieh Sharifnia , Simon Tindemans

The generalized assignment problem with routing constraints, e.g. the vehicle routing problem, has essential practical relevance. This paper focuses on addressing the complexities of the problem by learning a surrogate model with reduced…

Optimization and Control · Mathematics 2024-05-24 Sen Xue , Chuanhou Gao

The distribution system state estimation problem seeks to determine the network state from available measurements. Widely used Gauss-Newton approaches are very sensitive to the initialization and often not suitable for real-time estimation.…

Optimization and Control · Mathematics 2019-07-16 Ahmed S. Zamzam , Nicholas D. Sidiropoulos

Power system blackouts are usually triggered by the initial contingency and then deteriorate as the branch outage spreads quickly. Thus, it is crucial to eliminate the propagation of cascading outages in its infancy. In this paper, a model…

Optimization and Control · Mathematics 2017-10-17 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan