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Physics-informed neural networks (PINNs) were recently proposed in [1] as an alternative way to solve partial differential equations (PDEs). A neural network (NN) represents the solution while a PDE-induced NN is coupled to the solution NN,…

计算物理 · 物理学 2019-10-22 Xiaoli Chen , Jinqiao Duan , George Em Karniadakis

The use of machine learning in fluid dynamics is becoming more common to expedite the computation when solving forward and inverse problems of partial differential equations. Yet, a notable challenge with existing convolutional neural…

流体动力学 · 物理学 2024-05-10 Siming Shan , Pengkai Wang , Song Chen , Jiaxu Liu , Chao Xu , Shengze Cai

Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the…

Recently, deep Convolutional Neural Networks (CNNs) have revolutionized image super-resolution (SR), dramatically outperforming past methods for enhancing image resolution. They could be a boon for the many scientific fields that involve…

图像与视频处理 · 电气工程与系统科学 2021-10-28 Andrew Geiss , Joseph C. Hardin

Hyperspectral images are crucial for many research works. Spectral super-resolution (SSR) is a method used to obtain high spatial resolution (HR) hyperspectral images from HR multispectral images. Traditional SSR methods include…

图像与视频处理 · 电气工程与系统科学 2020-12-09 Jiang He , Jie Li , Qiangqiang Yuan , Huanfeng Shen , Liangpei Zhang

The neutron diffusion equation plays a pivotal role in the analysis of nuclear reactors. Nevertheless, employing the Physics-Informed Neural Network (PINN) method for its solution entails certain limitations. Traditional PINN approaches…

机器学习 · 计算机科学 2024-07-17 Heng Zhang , Yun-Ling He , Dong Liu , Qin Hang , He-Min Yao , Di Xiang

Super-resolution (SR) is a technique that allows increasing the resolution of a given image. Having applications in many areas, from medical imaging to consumer electronics, several SR methods have been proposed. Currently, the best…

计算机视觉与模式识别 · 计算机科学 2019-12-02 Marija Vella , João F. C. Mota

In recent years, deep learning-based methods have been proposed for solving inverse scattering problems (ISPs), but most of them heavily rely on data and suffer from limited generalization capabilities. In this paper, a new solving scheme…

图像与视频处理 · 电气工程与系统科学 2026-02-19 Yutong Du , Zicheng Liu , Bazargul Matkerim , Changyou Li , Yali Zong , Bo Qi , Jingwei Kou

Physics Informed Neural Networks is a numerical method which uses neural networks to approximate solutions of partial differential equations. It has received a lot of attention and is currently used in numerous physical and engineering…

数值分析 · 数学 2025-07-10 Dimitrios Gazoulis , Ioannis Gkanis , Charalambos G. Makridakis

Light field microscopy (LFM) has been widely utilized in various fields for its capability to efficiently capture high-resolution 3D scenes. Despite the rapid advancements in neural representations, there are few methods specifically…

图像与视频处理 · 电气工程与系统科学 2024-09-30 Jiayin Zhao , Zhifeng Zhao , Jiamin Wu , Tao Yu , Hui Qiao

Image distortion by atmospheric turbulence is a stochastic degradation, which is a critical problem in long-range optical imaging systems. A number of research has been conducted during the past decades, including model-based and emerging…

图像与视频处理 · 电气工程与系统科学 2023-07-21 Ajay Jaiswal , Xingguang Zhang , Stanley H. Chan , Zhangyang Wang

Super-resolution (SR) techniques based on deep learning have recently emerged as a promising approach to enhance the spatial resolution of computational fluid dynamics simulations while containing computational cost. In this paper, we…

流体动力学 · 物理学 2026-04-13 Armin Sheidani , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Recently Convolutional Neural Networks (CNN) have been used to reconstruct hyperspectral information from RGB images. Moreover, this spectral reconstruction problem (SR) can often be solved with good (low) error. However, these methods are…

图像与视频处理 · 电气工程与系统科学 2020-01-03 Yi-Tun Lin , Graham D. Finlayson

The black-box nature of Convolutional Neural Networks (CNNs) and their reliance on large datasets limit their use in complex domains with limited labeled data. Physics-Guided Neural Networks (PGNNs) have emerged to address these limitations…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Kishor Datta Gupta , Marufa Kamal , Rakib Hossain Rifat , Mohd Ariful Haque , Roy George

This paper investigates the application of Physics-Informed Neural Networks (PINNs) for solving the inverse advection-diffusion problem to localize pollution sources. The study focuses on optimizing neural network architectures to…

神经与进化计算 · 计算机科学 2025-03-25 Ivan Chuprov , Denis Derkach , Dmitry Efremenko , Aleksei Kychkin

Super-resolution reconstruction techniques entail the utilization of software algorithms to transform one or more sets of low-resolution images captured from the same scene into high-resolution images. In recent years, considerable…

计算机视觉与模式识别 · 计算机科学 2024-08-02 Hao Yan , Zixiang Wang , Zhengjia Xu , Zhuoyue Wang , Zhizhong Wu , Ranran Lyu

Traditional approaches based on finite element analyses have been successfully used to predict the macro-scale behavior of heterogeneous materials (composites, multicomponent alloys, and polycrystals) widely used in industrial applications.…

材料科学 · 物理学 2022-11-24 Rajat Arora

Single image super-resolution (SR) via deep learning has recently gained significant attention in the literature. Convolutional neural networks (CNNs) are typically learned to represent the mapping between low-resolution (LR) and…

计算机视觉与模式识别 · 计算机科学 2018-02-09 Hojjat S. Mousavi , Tiantong Guo , Vishal Monga

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

This paper deals with the following important research questions. Is it possible to solve challenging advection-dominated diffusion problems in one and two dimensions using Physics Informed Neural Networks (PINN) and Variational Physics…

数值分析 · 数学 2023-07-18 Maciej Sikora , Patryk Krukowski , Anna Paszynska , Maciej Paszynski
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