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Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

Machine Learning · Computer Science 2023-11-30 Samuel Burbulla

The simulation of power system dynamics poses a computationally expensive task. Considering the growing uncertainty of generation and demand patterns, thousands of scenarios need to be continuously assessed to ensure the safety of power…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Jochen Stiasny , Spyros Chatzivasileiadis

Many scientific and industrial applications require solving Partial Differential Equations (PDEs) to describe the physical phenomena of interest. Some examples can be found in the fields of aerodynamics, astrodynamics, combustion and many…

Computational Physics · Physics 2019-12-11 Juan B. Pedro , Juan Maroñas , Roberto Paredes

Existing image SR and generic diffusion models transfer poorly to fluid SR: they are sampling-intensive, ignore physical constraints, and often yield spectral mismatch and spurious divergence. We address fluid super-resolution (SR) with…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Zhihao Li , Shengwei Dong , Chuang Yi , Junxuan Gao , Zhilu Lai , Zhiqiang Liu , Wei Wang , Guangtao Zhang

Image super-resolution and denoising are two important tasks in image processing that can lead to improvement in image quality. Image super-resolution is the task of mapping a low resolution image to a high resolution image whereas…

Computer Vision and Pattern Recognition · Computer Science 2018-09-24 Rohit Pardasani , Utkarsh Shreemali

Physics-Informed Neural Networks (PINNs) have enabled significant improvements in modelling physical processes described by partial differential equations (PDEs). PINNs are based on simple architectures, and learn the behavior of complex…

Methods based on convolutional neural network (CNN) have demonstrated tremendous improvements on single image super-resolution. However, the previous methods mainly restore images from one single area in the low resolution (LR) input, which…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Xiaoyi Jia , Xiangmin Xu , Bolun Cai , Kailing Guo

High-fidelity reconstruction of fluids from sparse multiview RGB videos remains a formidable challenge due to the complexity of the underlying physics as well as complex occlusion and lighting in captures. Existing solutions either assume…

In recent years, videos and images in 720p (HD), 1080p (FHD) and 4K (UHD) resolution have become more popular for display devices such as TVs, mobile phones and VR. However, these high resolution images cannot achieve the expected visual…

Image and Video Processing · Electrical Eng. & Systems 2023-05-08 Jiaming Guo , Xueyi Zou , Yuyi Chen , Yi Liu , Jia Hao , Jianzhuang Liu , Youliang Yan

Adapting the Diffusion Probabilistic Model (DPM) for direct image super-resolution is wasteful, given that a simple Convolutional Neural Network (CNN) can recover the main low-frequency content. Therefore, we present ResDiff, a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Shuyao Shang , Zhengyang Shan , Guangxing Liu , LunQian Wang , XingHua Wang , Zekai Zhang , Jinglin Zhang

In the present study, the capabilities of a new Convolutional Neural Network (CNN) model are explored with the paramount objective of reconstructing the temperature field of wall-bounded flows based on a limited set of measurement points…

Fluid Dynamics · Physics 2022-02-02 Victor Coppo Leite , Elia Merzari , Roberto Ponciroli , Lander Ibarra

Neutron reflectometry (NR) is a powerful technique to probe surfaces and interfaces. NR is inherently an indirect measurement technique, access to the physical quantities of interest (layer thickness, scattering length density, roughness),…

Computed Tomography (CT) imaging technique is widely used in geological exploration, medical diagnosis and other fields. In practice, however, the resolution of CT image is usually limited by scanning devices and great expense. Super…

Computer Vision and Pattern Recognition · Computer Science 2020-01-29 Yukai Wang , Qizhi Teng , Xiaohai He , Junxi Feng , Tingrong Zhang

The recent rise of deep learning has led to numerous applications, including solving partial differential equations using Physics-Informed Neural Networks. This approach has proven highly effective in several academic cases. However, their…

Numerical Analysis · Mathematics 2024-10-07 Marien Chenaud , Frédéric Magoulès , José Alves

The goal of this paper is to provide a simple approach to perform local sensitivity analysis using Physics-informed neural networks (PINN). The main idea lies in adding a new term in the loss function that regularizes the solution in a…

Numerical Analysis · Mathematics 2024-06-07 John M. Hanna , José V. Aguado , Sebastien Comas-Cardona , Ramzi Askri , Domenico Borzacchiello

CNNs with strong learning abilities are widely chosen to resolve super-resolution problem. However, CNNs depend on deeper network architectures to improve performance of image super-resolution, which may increase computational cost in…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Chunwei Tian , Yixuan Yuan , Shichao Zhang , Chia-Wen Lin , Wangmeng Zuo , David Zhang

We introduce Neural Parameter Regression (NPR), a novel framework specifically developed for learning solution operators in Partial Differential Equations (PDEs). Tailored for operator learning, this approach surpasses traditional DeepONets…

Machine Learning · Computer Science 2024-03-20 Konrad Mundinger , Max Zimmer , Sebastian Pokutta

Physics-Informed Neural Networks (PINNs) have been shown to be an effective way of incorporating physics-based domain knowledge into neural network models for many important real-world systems. They have been particularly effective as a…

Machine Learning · Computer Science 2022-11-23 Jian Cheng Wong , Pao-Hsiung Chiu , Chin Chun Ooi , My Ha Da

Despite the plethora of successful Super-Resolution Reconstruction (SRR) models applied to natural images, their application to remote sensing imagery tends to produce poor results. Remote sensing imagery is often more complicated than…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Savvas Karatsiolis , Chirag Padubidri , Andreas Kamilaris

Physics-informed neural networks (PINNs) are an increasingly powerful way to solve partial differential equations, generate digital twins, and create neural surrogates of physical models. In this manuscript we detail the inner workings of…

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