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Training deep neural networks at scale can benefit from domain decomposition, where the network is split into subdomains trained in parallel and coupled by a global trust-region mechanism. Building on the Additively Preconditioned…

Optimization and Control · Mathematics 2026-05-15 Andrea Angino , Bindi Çapriqi , Shega Likaj , Ken Trotti , Rolf Krause

Microfluidics have shown great promise in multiple applications, especially in biomedical diagnostics and separations. While the flow properties of these microfluidic devices can be solved by numerical methods such as computational fluid…

Fluid Dynamics · Physics 2021-05-12 Quang Tuyen Le , Pao-Hsiung Chiu , Chin Chun Ooi

Convolutional neural network (CNN)-based image denoising methods have been widely studied recently, because of their high-speed processing capability and good visual quality. However, most of the existing CNN-based denoisers learn the image…

Image and Video Processing · Electrical Eng. & Systems 2020-06-30 Rui Zhao , Kin-Man Lam , Daniel P. K. Lun

Speed-of-sound has been shown as a potential biomarker for breast cancer imaging, successfully differentiating malignant tumors from benign ones. Speed-of-sound images can be reconstructed from time-of-flight measurements from ultrasound…

Image and Video Processing · Electrical Eng. & Systems 2020-07-23 Melanie Bernhardt , Valery Vishnevskiy , Richard Rau , Orcun Goksel

The theory-guided convolutional neural network (TgCNN) framework, which can incorporate discretized governing equation residuals into the training of convolutional neural networks (CNNs), is extended to two-phase porous media flow problems…

Geophysics · Physics 2022-08-15 Nanzhe Wang , Haibin Chang , Dongxiao Zhang

The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary…

Fluid Dynamics · Physics 2015-10-28 Bastien E. Jordi , Colin J. Cotter , Spencer J. Sherwin

Deep neural networks (DNNs) are widely used as surrogate models in geophysical applications; incorporating theoretical guidance into DNNs has improved the generalizability. However, most of such approaches define the loss function based on…

Machine Learning · Computer Science 2021-09-28 Rui Xu , Dongxiao Zhang , Miao Rong , Nanzhe Wang

The purpose of this work is the development of an artificial neural network (ANN) for surrogate modeling of the mechanical response of viscoplastic grain microstructures. To this end, a U-Net-based convolutional neural network (CNN) is…

Parametric reduced-order modelling often serves as a surrogate method for hemodynamics simulations to improve the computational efficiency in many-query scenarios or to perform real-time simulations. However, the snapshots of the method…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Dongwei Ye , Valeria Krzhizhanovskaya , Alfons G. Hoekstra

Accurate medical image segmentation especially for echocardiographic images with unmissable noise requires elaborate network design. Compared with manual design, Neural Architecture Search (NAS) realizes better segmentation results due to…

Image and Video Processing · Electrical Eng. & Systems 2023-12-29 Renqi Chen , Jingjing Luo , Fan Nian , Yuhui Cen , Yiheng Peng , Zekuan Yu

Data assimilation in subsurface flow systems is challenging due to the large number of flow simulations often required, and by the need to preserve geological realism in the calibrated (posterior) models. In this work we present a…

Computational Physics · Physics 2021-02-03 Meng Tang , Yimin Liu , Louis J. Durlofsky

Given a scene, what is going to move, and in what direction will it move? Such a question could be considered a non-semantic form of action prediction. In this work, we present a convolutional neural network (CNN) based approach for motion…

Computer Vision and Pattern Recognition · Computer Science 2015-12-18 Jacob Walker , Abhinav Gupta , Martial Hebert

Subsurface simulations use computational models to predict the flow of fluids (e.g., oil, water, gas) through porous media. These simulations are pivotal in industrial applications such as petroleum production, where fast and accurate…

Machine Learning · Computer Science 2022-06-16 Tailin Wu , Qinchen Wang , Yinan Zhang , Rex Ying , Kaidi Cao , Rok Sosič , Ridwan Jalali , Hassan Hamam , Marko Maucec , Jure Leskovec

A convolutional neural network (CNN) architecture is developed to improve the pulse shape discrimination (PSD) power of the gadolinium-loaded organic liquid scintillation detector to reduce the fast neutron background in the inverse beta…

We introduce Universal Solution Manifold Network (USM-Net), a novel surrogate model, based on Artificial Neural Networks (ANNs), which applies to differential problems whose solution depends on physical and geometrical parameters. Our…

Numerical Analysis · Mathematics 2022-04-19 Francesco Regazzoni , Stefano Pagani , Alfio Quarteroni

Deep convolutional neural networks (CNNs) have delivered superior performance in many computer vision tasks. In this paper, we propose a novel deep fully convolutional network model for accurate salient object detection. The key…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Pingping Zhang , Dong Wang , Huchuan Lu , Hongyu Wang , Baocai Yin

Phase unwrapping is a classical ill-posed problem which aims to recover the true phase from wrapped phase. In this paper, we introduce a novel Convolutional Neural Network (CNN) that incorporates a Spatial Quad-Directional Long Short Term…

Machine Learning · Computer Science 2020-10-27 Malsha V. Perera , Ashwin De Silva

We present a scalable framework for learning deterministic and probabilistic neural surrogates for high-resolution 3D physics simulations. We introduce a hybrid CNN-Transformer backbone architecture targeted for 3D physics simulations,…

Machine Learning · Computer Science 2025-10-09 Benjamin Holzschuh , Georg Kohl , Florian Redinger , Nils Thuerey

This paper proposes a domain decomposition subspace neural network method for efficiently solving linear and nonlinear partial differential equations. By combining the principles of domain decomposition and subspace neural networks, the…

Numerical Analysis · Mathematics 2025-05-28 Zhenxing Fu , Hongliang Liu , Zhiqiang Sheng , Baixue Xing

Characterizing blood vessels in digital images is important for the diagnosis of many types of diseases as well as for assisting current researches regarding vascular systems. The automated analysis of blood vessels typically requires the…

Image and Video Processing · Electrical Eng. & Systems 2023-01-12 Matheus V. da Silva , Julie Ouellette , Baptiste Lacoste , Cesar H. Comin
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