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Surrogate Neural Networks are nowadays routinely used in industry as substitutes for computationally demanding engineering simulations (e.g., in structural analysis). They allow to generate faster predictions and thus analyses in industrial…

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

Despite the recent progress in hyperparameter optimization (HPO), available benchmarks that resemble real-world scenarios consist of a few and very large problem instances that are expensive to solve. This blocks researchers and…

Machine Learning · Computer Science 2019-11-26 Aaron Klein , Zhenwen Dai , Frank Hutter , Neil Lawrence , Javier Gonzalez

Subsurface flow problems usually involve some degree of uncertainty. Consequently, uncertainty quantification is commonly necessary for subsurface flow prediction. In this work, we propose a methodology for efficient uncertainty…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Nanzhe Wang , Haibin Chang , Dongxiao Zhang

Modern AI agents such as large language models are trained on diverse tasks -- translation, code generation, mathematical reasoning, and text prediction -- simultaneously. A key question is how to quantify the influence of each individual…

Machine Learning · Computer Science 2026-05-12 Zhenshuo Zhang , Minxuan Duan , Hongyang R. Zhang

Multi-fidelity surrogate modeling aims to learn an accurate surrogate at the highest fidelity level by combining data from multiple sources. Traditional methods relying on Gaussian processes can hardly scale to high-dimensional data. Deep…

Machine Learning · Computer Science 2024-06-25 Ruijia Niu , Dongxia Wu , Kai Kim , Yi-An Ma , Duncan Watson-Parris , Rose Yu

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

Neural network models and deep models are one of the leading and state of the art models in machine learning. Most successful deep neural models are the ones with many layers which highly increases their number of parameters. Training such…

Machine Learning · Computer Science 2018-07-17 Soufiane Belharbi

The widespread integration of deep neural networks in developing data-driven surrogate models for high-fidelity simulations of complex physical systems highlights the critical necessity for robust uncertainty quantification techniques and…

Computational Engineering, Finance, and Science · Computer Science 2024-05-15 Pratyush Kumar Singh , Kathryn A. Farrell-Maupin , Danial Faghihi

There is renewed interest in developing small modular reactors and micro-reactors. Innovation is necessary in both construction and operation methods of these reactors to be financially attractive. For operation, an area of interest is the…

Computational Physics · Physics 2020-07-14 Akshay J. Dave , Jarod Wilson , Kaichao Sun

Hypothesis testing based on surrogate data has emerged as a popular way to test the null hypothesis that a signal is a realization of a linear stochastic process. Typically, this is done by generating surrogates which are made to conform to…

Chaotic Dynamics · Physics 2010-08-12 Diego Guarin , Alvaro Orozco , Edilson Delgado

A deep-learning-based surrogate model is developed and applied for predicting dynamic subsurface flow in channelized geological models. The surrogate model is based on deep convolutional and recurrent neural network architectures,…

Machine Learning · Computer Science 2020-05-20 Meng Tang , Yimin Liu , Louis J. Durlofsky

Simulation-based plasma scenario development, optimization and control are crucial elements towards the successful deployment of next-generation experimental tokamaks and Fusion power plants. Current simulation codes require extremely…

Plasma Physics · Physics 2024-02-14 N. Carey , L. Zanisi , S. Pamela , V. Gopakumar , J. Omotani , J. Buchanan , J. Brandstetter

Physics-based models are computationally time-consuming and infeasible for real-time scenarios of urban drainage networks, and a surrogate model is needed to accelerate the online predictive modelling. Fully-connected neural networks (NNs)…

Machine Learning · Computer Science 2024-08-02 Zhiyu Zhang , Chenkaixiang Lu , Wenchong Tian , Zhenliang Liao , Zhiguo Yuan

Optimization and uncertainty quantification have been playing an increasingly important role in computational hemodynamics. However, existing methods based on principled modeling and classic numerical techniques have faced significant…

Medical Physics · Physics 2022-09-07 Pan Du , Xiaozhi Zhu , Jian-Xun Wang

Many problems in computer vision have recently been tackled using models whose predictions cannot be easily interpreted, most commonly deep neural networks. Surrogate explainers are a popular post-hoc interpretability method to further…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Ricardo Kleinlein , Alexander Hepburn , Raúl Santos-Rodríguez , Fernando Fernández-Martínez

Multiscale problems are widely observed across diverse domains in physics and engineering. Translating these problems into numerical simulations and solving them using numerical schemes, e.g. the finite element method, is costly due to the…

Accurate simulations of the oceans are crucial in understanding the Earth system. Despite their efficiency, simulations at lower resolutions must rely on various uncertain parameterizations to account for unresolved processes. However,…

Fatigue crack growth is one of the most common types of deterioration in metal structures with significant implications on their reliability. Recent advances in Structural Health Monitoring (SHM) have motivated the use of structural…

Machine Learning · Statistics 2023-10-12 Nicholas E. Silionis , Konstantinos N. Anyfantis

The computational models for geophysical flows are computationally very expensive to employ in multi-query tasks such as data assimilation, uncertainty quantification, and hence surrogate models sought to alleviate the computational burden…

Computational Physics · Physics 2022-01-10 Suraj Pawar , Omer San , Gary G. Yen
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