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Whilst the partial differential equations that govern the dynamics of our world have been studied in great depth for centuries, solving them for complex, high-dimensional conditions and domains still presents an incredibly large…

Machine Learning · Computer Science 2023-03-07 Edward Small

High-fidelity simulation of complex physical systems is exorbitantly expensive and inaccessible across spatiotemporal scales. Recently, there has been an increasing interest in leveraging deep learning to augment scientific data based on…

Machine Learning · Computer Science 2022-08-03 Pu Ren , Chengping Rao , Yang Liu , Zihan Ma , Qi Wang , Jian-Xun Wang , Hao Sun

Singularly perturbed problems are known to have solutions with steep boundary layers that are hard to resolve numerically. Traditional numerical methods, such as Finite Difference Methods (FDMs), require a refined mesh to obtain stable and…

Numerical Analysis · Mathematics 2024-09-13 Jiajing Guan , Howard Elman

Convolutional neural networks (CNNs) have allowed remarkable advances in single image super-resolution (SISR) over the last decade. Most SR methods based on CNNs have focused on achieving performance gains in terms of quality metrics, such…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Wonkyung Lee , Junghyup Lee , Dohyung Kim , Bumsub Ham

Neural networks (NNs) accelerate simulations of quantum dissipative dynamics. Ensuring that these simulations adhere to fundamental physical laws is crucial, but has been largely ignored in the state-of-the-art NN approaches. We show that…

Chemical Physics · Physics 2024-09-06 Arif Ullah , Yu Huang , Ming Yang , Pavlo O. Dral

We present a novel method for diffusion-guided frameworks for view-consistent super-resolution (SR) in neural rendering. Our approach leverages existing 2D SR models in conjunction with advanced techniques such as Variational Score…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Shrey Vishen , Jatin Sarabu , Saurav Kumar , Chinmay Bharathulwar , Rithwick Lakshmanan , Vishnu Srinivas

We propose a deep learning method for single image super-resolution (SR). Our method directly learns an end-to-end mapping between the low/high-resolution images. The mapping is represented as a deep convolutional neural network (CNN) that…

Computer Vision and Pattern Recognition · Computer Science 2015-08-03 Chao Dong , Chen Change Loy , Kaiming He , Xiaoou Tang

Physics-Informed Neural Networks (PINNs) are machine learning tools that approximate the solution of general partial differential equations (PDEs) by adding them in some form as terms of the loss/cost function of a Neural Network. Most…

Numerical Analysis · Mathematics 2022-08-29 Antonio Tadeu Azevedo Gomes , Larissa Miguez da Silva , Frederic Valentin

In the absence of high-resolution samples, super-resolution of sparse observations on dynamical systems is a challenging problem with wide-reaching applications in experimental settings. We showcase the application of physics-informed…

Fluid Dynamics · Physics 2022-11-08 Daniel Kelshaw , Georgios Rigas , Luca Magri

Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial Differential Equations (PDEs). They are very appealing at…

Numerical Analysis · Mathematics 2022-05-11 A. Beguinet , V. Ehrlacher , R. Flenghi , M. Fuente , O. Mula , A. Somacal

Physics-informed neural networks (PINNs) have emerged as a promising numerical method based on deep learning for modeling boundary value problems, showcasing promising results in various fields. In this work, we use PINNs to discretize…

Computational Physics · Physics 2024-06-10 Michel Nohra , Steven Dufour

Image Super-Resolution (SR) provides a promising technique to enhance the image quality of low-resolution optical sensors, facilitating better-performing target detection and autonomous navigation in a wide range of robotics applications.…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Fan Wang , Jiangxin Yang , Yanlong Cao , Yanpeng Cao , Michael Ying Yang

Deep learning-based hyperspectral image super-resolution (SR) methods have achieved great success recently. However, most existing models can not effectively explore spatial information and spectral information between bands simultaneously,…

Computer Vision and Pattern Recognition · Computer Science 2020-01-15 Qi Wang , Qiang Li , Xuelong Li

Fourier ptychography (FP) is a newly developed computational imaging approach that achieves both high resolution and wide field of view by stitching a series of low-resolution images captured under angle-varied illumination. So far, many…

Image and Video Processing · Electrical Eng. & Systems 2019-09-20 Yongbing Zhang , Yangzhe Liu , Xiu Li , Shaowei Jiang , Krishna Dixit , Xinfeng Zhang , Xiangyang Ji

We describe a novel method for blind, single-image spectral super-resolution. While conventional super-resolution aims to increase the spatial resolution of an input image, our goal is to spectrally enhance the input, i.e., generate an…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Silvano Galliani , Charis Lanaras , Dimitrios Marmanis , Emmanuel Baltsavias , Konrad Schindler

This paper presents deep unfolding neural networks to handle inverse problems in photothermal radiometry enabling super resolution (SR) imaging. Photothermal imaging is a well-known technique in active thermography for nondestructive…

Computer Vision and Pattern Recognition · Computer Science 2021-04-22 Samim Ahmadi , Linh Kästner , Jan Christian Hauffen , Peter Jung , Mathias Ziegler

Atomic resolution STEM images often suffer from noise due to low electron doses and instrument imperfections, hence it is challenging to obtain critical structural details required for material analysis. To address the problem, we propose a…

Materials Science · Physics 2024-12-18 Z. Awan , J. Shabeer , U. Saleem , S. Mehmood , T. Qadeer

This paper introduces an adaptive physics-guided neural network (APGNN) framework for predicting quality attributes from image data by integrating physical laws into deep learning models. The APGNN adaptively balances data-driven and…

Methodology · Statistics 2024-11-18 David Shulman , Itai Dattner

Convolutional Neural Networks (CNNs) have achieved impressive results across many super-resolution (SR) and image restoration tasks. While many such networks can upscale low-resolution (LR) images using just the raw pixel-level information,…

Image and Video Processing · Electrical Eng. & Systems 2021-10-29 Matthew Aquilina , Christian Galea , John Abela , Kenneth P. Camilleri , Reuben A. Farrugia

Recent studies have demonstrated the success of deep learning in solving forward and inverse problems in engineering and scientific computing domains, such as physics-informed neural networks (PINNs). Source inversion problems under sparse…

Machine Learning · Statistics 2026-04-10 Brenda Anague , Bamdad Hosseini , Issa Karambal , Jean Medard Ngnotchouye