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This work presents a novel physics-informed deep learning based super-resolution framework to reconstruct high-resolution deformation fields from low-resolution counterparts, obtained from coarse mesh simulations or experiments. We leverage…

Machine Learning · Computer Science 2022-11-24 Rajat Arora

An emerging trend in deep learning research focuses on the applications of graph neural networks (GNNs) for mesh-based continuum mechanics simulations. Most of these learning frameworks operate on graphs wherein each edge connects two…

Fluid Dynamics · Physics 2024-10-08 Rui Gao , Indu Kant Deo , Rajeev K. Jaiman

Numerical simulation of multi-phase fluid dynamics in porous media is critical to a variety of geoscience applications. Data-driven surrogate models using Convolutional Neural Networks (CNNs) have shown promise but are constrained to…

Computational Physics · Physics 2024-12-18 Jiamin Jiang , Jingrun Chen , Zhouwang Yang

Evaluating the mechanical response of fiber-reinforced composites can be extremely time consuming and expensive. Machine learning (ML) techniques offer a means for faster predictions via models trained on existing input-output pairs and…

Materials Science · Physics 2024-10-03 Yixuan Sun , Imad Hanhan , Michael D. Sangid , Guang Lin

Stress prediction in porous materials and structures is challenging due to the high computational cost associated with direct numerical simulations. Convolutional Neural Network (CNN) based architectures have recently been proposed as…

Computational Engineering, Finance, and Science · Computer Science 2023-11-07 Vasilis Krokos , Stéphane P. A. Bordas , Pierre Kerfriden

-Background. Network neuroscience examines the brain as a complex system represented by a network (or connectome), providing deeper insights into the brain morphology and function, allowing the identification of atypical brain connectivity…

Neurons and Cognition · Quantitative Biology 2020-09-01 Mert Lostar , Islem Rekik

The most sophisticated existing methods to generate 3D isotropic super-resolution (SR) from non-isotropic electron microscopy (EM) are based on learned dictionaries. Unfortunately, none of the existing methods generate practically…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 Larissa Heinrich , John A. Bogovic , Stephan Saalfeld

Accurate modeling of scattering from three-dimensional (3D) perfectly electrically conducting (PEC) targets at microwave frequencies constitutes a fundamental objective in computational electromagnetics, particularly for radar cross section…

Machine Learning · Computer Science 2026-05-27 Rui Zhu , Yuexing Peng , George C. Alexandropoulos , Wenbo Wang

Physics-informed neural networks (PINNs) have been increasingly employed due to their capability of modeling complex physics systems. To achieve better expressiveness, increasingly larger network sizes are required in many problems. This…

Machine Learning · Computer Science 2023-02-28 Ziyue Liu , Xinling Yu , Zheng Zhang

In this paper, we propose an ultrafast automated model compression framework called SeerNet for flexible network deployment. Conventional non-differen-tiable methods discretely search the desirable compression policy based on the accuracy…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Ziwei Wang , Jiwen Lu , Han Xiao , Shengyu Liu , Jie Zhou

Physics-based deep learning frameworks have shown to be effective in accurately modeling the dynamics of complex physical systems with generalization capability across problem inputs. Data-driven networks like GNN, Neural Operators have…

Machine Learning · Computer Science 2024-12-23 Rini Jasmine Gladstone , Hadi Meidani

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

Machine Learning · Computer Science 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

Single image super-resolution (SISR) is the task of inferring a high-resolution image from a single low-resolution image. Recent research on super-resolution has achieved great progress due to the development of deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2019-11-22 Zhengyang Lu , Ying Chen

Measuring stress fields in fluids and soft materials is crucial in various fields such as mechanical engineering, medicine, and bioengineering. However, conventional methods that calculate stress fields from velocity fields struggle to…

Developing efficient numerical algorithms for the solution of high dimensional random Partial Differential Equations (PDEs) has been a challenging task due to the well-known curse of dimensionality. We present a new solution framework for…

Machine Learning · Computer Science 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

In this paper we consider utilizing a residual neural network (ResNet) to solve ordinary differential equations. Stochastic gradient descent method is applied to obtain the optimal parameter set of weights and biases of the network. We…

Numerical Analysis · Mathematics 2021-01-12 Changxin Qiu , Aaron Bendickson , Joshua Kalyanapu , Jue Yan

Recent progress in deep learning-based models has improved photo-realistic (or perceptual) single-image super-resolution significantly. However, despite their powerful performance, many methods are difficult to apply to real-world…

Computer Vision and Pattern Recognition · Computer Science 2022-03-16 Namhyuk Ahn , Byungkon Kang , Kyung-Ah Sohn

The purpose of this work is the systematic comparison of the application of two artificial neural networks (ANNs) to the surrogate modeling of the stress field in materially heterogeneous periodic polycrystalline microstructures. The first…

Materials Science · Physics 2022-11-01 Sarthak Kapoor , Jaber Rezaei Mianroodi , Mohammad Khorrami , Nima S. Siboni , Bob Svendsen

In this paper, we present a generic deep convolutional neural network (DCNN) for multi-class image segmentation. It is based on a well-established supervised end-to-end DCNN model, known as U-net. U-net is firstly modified by adding widely…

Image and Video Processing · Electrical Eng. & Systems 2020-04-29 Mina Jafari , Ruizhe Li , Yue Xing , Dorothee Auer , Susan Francis , Jonathan Garibaldi , Xin Chen

This work presents a multi-resolution physics-informed recurrent neural network (MR PI-RNN), for simultaneous prediction of musculoskeletal (MSK) motion and parameter identification of the MSK systems. The MSK application was selected as…

Machine Learning · Computer Science 2023-05-29 Karan Taneja , Xiaolong He , Qizhi He , J. S. Chen