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We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is…

Numerical Analysis · Mathematics 2020-08-11 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

In recent years, learning-based underwater image enhancement (UIE) techniques have rapidly evolved. However, distribution shifts between high-quality enhanced outputs and natural images can hinder semantic cue extraction for downstream…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Guodong Fan , Shengning Zhou , Genji Yuan , Huiyu Li , Jingchun Zhou , Jinjiang Li

The investigation of finite temperature properties using Monte-Carlo (MC) methods requires a large number of evaluations of the system's Hamiltonian to sample the phase space needed to obtain physical observables as function of temperature.…

Materials Science · Physics 2022-08-01 Markus Eisenbach , Mariia Karabin , Massimiliano Lupo Pasini , Junqi Yin

In recent years, the use of machine learning-based surrogate models for computational fluid dynamics (CFD) simulations has emerged as a promising technique for reducing the computational cost associated with engine design optimization.…

Using machine learning (ML), high performance computing, and a large body of geospatial information, we develop surrogate models to predict soil liquefaction across regional scales. Two sets of models - one global and one specific to New…

Computational Engineering, Finance, and Science · Computer Science 2025-09-16 Morgan D. Sanger , Mertcan Geyin , Brett W. Maurer

Machine Learning (ML) is increasingly used to construct surrogate models for physical simulations. We take advantage of the ability to generate data using numerical simulations programs to train ML models better and achieve accuracy gain…

Computational Physics · Physics 2021-01-29 Paul Novello , Gaël Poëtte , David Lugato , Pietro Congedo

Deep learning methodologies have been employed in several different fields, with an outstanding success in image recognition applications, such as material quality control, medical imaging, autonomous driving, etc. Deep learning models rely…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Saul Calderon-Ramirez , Shengxiang Yang , David Elizondo

Simulation models are widely used in practice to facilitate decision-making in a complex, dynamic and stochastic environment. But they are computationally expensive to execute and optimize, due to lack of analytical tractability. Simulation…

Optimization and Control · Mathematics 2021-06-14 L. Jeff Hong , Xiaowei Zhang

Sustainable management of groundwater resources under changing climatic conditions require an application of reliable and accurate predictions of groundwater levels. Mechanistic multi-scale, multi-physics simulation models are often too…

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

Multilevel models (MLMs) are a central building block of the Bayesian workflow. They enable joint, interpretable modeling of data across hierarchical levels and provide a fully probabilistic quantification of uncertainty. Despite their…

In recent years, the demand of image compression models for machine vision has increased dramatically. However, the training frameworks of image compression still focus on the vision of human, maintaining the excessive perceptual details,…

Image and Video Processing · Electrical Eng. & Systems 2025-12-24 Hyeonjin Lee , Jun-Hyuk Kim , Jong-Seok Lee

For image recognition, an extensive number of methods have been proposed to overcome the high-dimensionality problem of feature vectors being used. These methods vary from unsupervised to supervised, and from statistics to graph-theory…

Computer Vision and Pattern Recognition · Computer Science 2018-01-12 Cigdem Turan , Kin-Man Lam , Xiangjian He

This paper presents a residual-informed machine learning approach for replacing algebraic loops in equation-based Modelica models with neural network surrogates. A feedforward neural network is trained using the residual (error) of the…

Machine Learning · Computer Science 2025-10-13 Felix Brandt , Andreas Heuermann , Philip Hannebohm , Bernhard Bachmann

Surrogate modeling is an essential data-driven technique for quantifying relationships between input variables and system responses in manufacturing and engineering systems. Two major challenges limit its effectiveness: (1) large data…

Machine Learning · Computer Science 2026-03-11 Manan Mehta , Zhiqiao Dong , Yuhang Yang , Chenhui Shao

In this contribution we propose a data-driven surrogate model for the prediction of magnetic stray fields in two-dimensional random micro-heterogeneous materials. Since data driven models require thousands of training data sets, FEM…

Numerical Analysis · Mathematics 2023-04-11 Rainer Niekamp , Johanna Niemann , Maximilian Reichel , Hongbin Zhang , Jörg Schröder

Parameter calibration is a major challenge in agent-based modelling and simulation (ABMS). As the complexity of agent-based models (ABMs) increase, the number of parameters required to be calibrated grows. This leads to the ABMS equivalent…

Machine Learning · Computer Science 2020-08-28 Rylan Perumal , Terence L van Zyl

Current simulation of metal forging processes use advanced finite element methods. Such methods consist of solving mathematical equations, which takes a significant amount of time for the simulation to complete. Computational time can be…

Numerical Analysis · Mathematics 2023-03-20 Meduri Venkata Shivaditya , José Alves , Francesca Bugiotti , Frederic Magoules

In many-task optimization scenarios, surrogate models are valuable for mitigating the computational burden of repeated fitness evaluations across tasks. This study proposes a novel meta-surrogate framework to assist many-task optimization,…

Machine Learning · Computer Science 2026-02-05 Xian-Rong Zhang , Yue-Jiao Gong , Yuan-Ting Zhong , Ting Huang , Jun Zhang

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

Methodology · Statistics 2025-03-14 Matteo D'Alessandro , Magne Thoresen