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Modeling groundwater flow in three-dimensional fractured crystalline media requires accounting for strong spatial heterogeneity induced by fractures. Fine-scale discrete fracture-matrix (DFM) simulations can capture this complexity but are…

Machine Learning · Computer Science 2026-04-06 Martin Špetlík , Jan Březina

Deep neural operators, such as DeepONets, have changed the paradigm in high-dimensional nonlinear regression from function regression to (differential) operator regression, paving the way for significant changes in computational engineering…

Machine learning, especially deep learning is gaining much attention due to the breakthrough performance in various cognitive applications. Recently, neural networks (NN) have been intensively explored to model partial differential…

Machine Learning · Computer Science 2022-02-28 Lesley Tan , Liang Chen

Spatio-temporal data, which consists of responses or measurements gathered at different times and positions, is ubiquitous across diverse applications of civil infrastructure. While SciML methods have made significant progress in tackling…

Machine Learning · Statistics 2025-06-16 Jichuan Tang , Patrick T. Brewick , Ryan G. McClarren , Christopher Sweet

This study develops and validates neural network frameworks with physics-based constraints for surrogate modeling of rarefied gas dynamics across different levels of complexity. As a baseline, we first examine the BGK kinetic relaxation…

Fluid Dynamics · Physics 2025-09-09 Ehsan Roohi , Ahmad Shoja-Sani , Bijan Goshayeshi , Ahmad Peyvan

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

The widespread use of neural surrogates in automotive aerodynamics, enabled by datasets such as DrivAerML and DrivAerNet++, has primarily focused on bluff-body flows with large wakes. Extending these methods to aerospace, particularly in…

Computational Engineering, Finance, and Science · Computer Science 2026-02-04 Fabian Paischer , Leo Cotteleer , Yann Dreze , Richard Kurle , Dylan Rubini , Maurits Bleeker , Tobias Kronlachner , Johannes Brandstetter

Deep neural operators can learn nonlinear mappings between infinite-dimensional function spaces via deep neural networks. As promising surrogate solvers of partial differential equations (PDEs) for real-time prediction, deep neural…

Machine Learning · Computer Science 2023-05-17 Min Zhu , Handi Zhang , Anran Jiao , George Em Karniadakis , Lu Lu

Neural operator learning models have emerged as very effective surrogates in data-driven methods for partial differential equations (PDEs) across different applications from computational science and engineering. Such operator learning…

Machine Learning · Computer Science 2024-05-30 Benjamin Shih , Ahmad Peyvan , Zhongqiang Zhang , George Em Karniadakis

The inclusion of high-fidelity simulations of SOL turbulence and transient MHD events such as ELMs in highly iterative applications remains computationally prohibitive, limiting their use in design and control workflows. Understanding these…

Deep learning models are used to minimize the number of polyps that goes unnoticed by the experts and to accurately segment the detected polyps during interventions. Although state-of-the-art models are proposed, it remains a challenge to…

Image and Video Processing · Electrical Eng. & Systems 2023-03-21 Tugberk Erol , Duygu Sarikaya

The development of efficient surrogates for partial differential equations (PDEs) is a critical step towards scalable modeling of complex, multiscale systems-of-systems. Convolutional neural networks (CNNs) have gained popularity as the…

Machine Learning · Computer Science 2025-06-04 Adrienne M. Propp , Daniel M. Tartakovsky

Developing surrogates for computer models has become increasingly important for addressing complex problems in science and engineering. This article introduces an artificial intelligent (AI) surrogate, referred to as the DeepSurrogate, for…

Operator-based neural network architectures such as DeepONets have emerged as a promising tool for the surrogate modeling of physical systems. In general, towards operator surrogate modeling, the training data is generated by solving the…

Machine Learning · Computer Science 2024-02-28 Shivam Choubey , Birupaksha Pal , Manish Agrawal

Surrogate modeling is a viable solution for applications involving repetitive evaluations of expensive computational fluid dynamics models, such as uncertainty quantification and inverse problems. This study proposes a multi-layer…

Fluid Dynamics · Physics 2024-06-24 Gurpreet S. Hora , Marco G. Giometto

Multimodal learning robust to missing modality has attracted increasing attention due to its practicality. Existing methods tend to address it by learning a common subspace representation for different modality combinations. However, we…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Shicai Wei , Yang Luo , Yuji Wang , Chunbo Luo

In this paper we introduce a novel way of estimating prediction uncertainty in deep networks through the use of uncertainty surrogates. These surrogates are features of the penultimate layer of a deep network that are forced to match…

Machine Learning · Computer Science 2021-04-19 Radhakrishna Achanta , Natasa Tagasovska

Neuron models built from experimental data have successfully predicted observed voltage oscillations within and beyond training range. A tantalising prospect is the possibility of estimating the unobserved dynamics of ion channels which is…

Neurons and Cognition · Quantitative Biology 2025-08-28 Ian Williams , Joseph D. Taylor , Alain Nogaret

Deep neural networks (DNNs) have shown to provide superb performance in many real life applications, but their large computation cost and storage requirement have prevented them from being deployed to many edge and internet-of-things (IoT)…

Neural and Evolutionary Computing · Computer Science 2021-12-22 Minghai Qin , Tianyun Zhang , Fei Sun , Yen-Kuang Chen , Makan Fardad , Yanzhi Wang , Yuan Xie

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
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