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Surrogate strategies are used widely for uncertainty quantification of groundwater models in order to improve computational efficiency. However, their application to dynamic multiphase flow problems is hindered by the curse of…

Machine Learning · Statistics 2019-05-02 Shaoxing Mo , Yinhao Zhu , Nicholas Zabaras , Xiaoqing Shi , Jichun Wu

Recently, surrogate models based on deep learning have attracted much attention for engineering analysis and optimization. As the construction of data pairs in most engineering problems is time-consuming, data acquisition is becoming the…

Machine Learning · Computer Science 2021-09-28 Xiaoyu Zhao , Zhiqiang Gong , Yunyang Zhang , Wen Yao , Xiaoqian Chen

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

A common trend in simulation-driven engineering applications is the ever-increasing size and complexity of the problem, where classical numerical methods typically suffer from significant computational time and huge memory cost. Methods…

Computational Engineering, Finance, and Science · Computer Science 2025-10-28 Jiachen Guo , Chanwook Park , Xiaoyu Xie , Zhongsheng Sang , Gregory J. Wagner , Wing Kam Liu

Thermal issue is a major concern in 3D integrated circuit (IC) design. Thermal optimization of 3D IC often requires massive expensive PDE simulations. Neural network-based thermal prediction models can perform real-time prediction for many…

Machine Learning · Computer Science 2023-02-28 Ziyue Liu , Yixing Li , Jing Hu , Xinling Yu , Shinyu Shiau , Xin Ai , Zhiyu Zeng , Zheng Zhang

Neural networks (NNs) have proven to be a viable alternative to traditional direct numerical algorithms, with the potential to accelerate computational time by several orders of magnitude. In the present paper we study the use of…

Machine Learning · Computer Science 2023-02-09 J. Quetzalcoatl Toledo-Marin , James A. Glazier , Geoffrey Fox

We propose a novel \textit{capsule} based deep encoder-decoder model for surrogate modeling and uncertainty quantification of systems in mechanics from sparse data. The proposed framework is developed by adapting Capsule Network (CapsNet)…

Machine Learning · Statistics 2022-01-20 Akshay Thakur , Souvik Chakraborty

Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale inverse problems. Surrogate modeling techniques seek to…

Computational Physics · Physics 2022-05-18 James Duvall , Karthik Duraisamy , Shaowu Pan

In this paper, based on neural networks, we develop a data-driven model for extremely fast prediction of steady-state heat convection of a hot object with arbitrary complex geometry in a two-dimensional space. According to the governing…

Applied Physics · Physics 2021-01-12 Jiang-Zhou Peng , Xianglei Liu , Nadine Aubry , Zhihua Chen , Wei-Tao Wu

Deep learning can accurately represent sub-grid-scale convective processes in climate models, learning from high resolution simulations. However, deep learning methods usually lack interpretability due to large internal dimensionality,…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Gunnar Behrens , Tom Beucler , Pierre Gentine , Fernando Iglesias-Suarez , Michael Pritchard , Veronika Eyring

Phase-field modeling is an effective but computationally expensive method for capturing the mesoscale morphological and microstructure evolution in materials. Hence, fast and generalizable surrogate models are needed to alleviate the cost…

Materials Science · Physics 2022-07-01 Vivek Oommen , Khemraj Shukla , Somdatta Goswami , Remi Dingreville , George Em Karniadakis

Deep learning, particularly convolutional neural networks for image recognition, has been recently used in meteorology. One of the promising applications is developing a statistical surrogate model that converts the output images of…

Atmospheric and Oceanic Physics · Physics 2020-07-22 Tsuyoshi Thomas Sekiyama

Neural network surrogate models have emerged as a promising approach to model solution fields for a wide variety of boundary value problems encountered in physical modeling. Stochastic problems represent an area of particularly high…

Machine Learning · Statistics 2026-05-18 Noah Wade , Kirubel Teferra

The increasing frequency of extreme weather events due to global climate change urges accurate weather prediction. Recently, great advances have been made by the \textbf{end-to-end methods}, thanks to deep learning techniques, but they face…

Machine Learning · Computer Science 2025-07-24 Shaohan Li , Hao Yang , Min Chen , Xiaolin Qin

Thermal analysis is crucial in 3D-IC design due to increased power density and complex heat dissipation paths. Although operator learning frameworks such as DeepOHeat~\cite{liu2023deepoheat} have demonstrated promising preliminary results…

Machine Learning · Computer Science 2025-10-13 Xinling Yu , Ziyue Liu , Hai Li , Yixing Li , Xin Ai , Zhiyu Zeng , Ian Young , Zheng Zhang

Thermal issue is of great importance during layout design of heat source components in systems engineering, especially for high functional-density products. Thermal analysis generally needs complex simulation, which leads to an unaffordable…

Machine Learning · Computer Science 2021-03-23 Xianqi Chen , Xiaoyu Zhao , Zhiqiang Gong , Jun Zhang , Weien Zhou , Xiaoqian Chen , Wen Yao

Learning from structured data is a core machine learning task. Commonly, such data is represented as graphs, which normally only consider (typed) binary relationships between pairs of nodes. This is a substantial limitation for many domains…

Machine Learning · Computer Science 2022-09-07 Dobrik Georgiev , Marc Brockschmidt , Miltiadis Allamanis

Traditionally, 1D models based on scaling laws have been used to parameterized convective heat transfer rocks in the interior of terrestrial planets like Earth, Mars, Mercury and Venus to tackle the computational bottleneck of high-fidelity…

Earth and Planetary Astrophysics · Physics 2021-11-08 Siddhant Agarwal , Nicola Tosi , Pan Kessel , Doris Breuer , Grégoire Montavon

Temperature field prediction is of great importance in the thermal design of systems engineering, and building the surrogate model is an effective way for the task. Generally, large amounts of labeled data are required to guarantee a good…

Machine Learning · Computer Science 2023-01-18 Yunyang Zhang , Zhiqiang Gong , Weien Zhou , Xiaoyu Zhao , Xiaohu Zheng , Wen Yao

Climate control of buildings makes up a significant portion of global energy consumption, with groundwater heat pumps providing a suitable alternative. To prevent possibly negative interactions between heat pumps throughout a city, city…

Machine Learning · Computer Science 2022-03-30 Raphael Leiteritz , Kyle Davis , Miriam Schulte , Dirk Pflüger
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