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A significant advancement in Neural Network (NN) research is the integration of domain-specific knowledge through custom loss functions. This approach addresses a crucial challenge: how can models utilize physics or mathematical principles…

Machine Learning · Computer Science 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang , Ali Mohammad-Djafari

Physics-Informed Neural Networks (PINNs) are effective methods for solving inverse problems and discovering governing equations from observational data. However, their performance degrades significantly under complex measurement noise and…

Machine Learning · Computer Science 2026-02-04 Hankyeol Kim , Pilsung Kang

Super-resolution (SR), a classical inverse problem in computer vision, is inherently ill-posed, inducing a distribution of plausible solutions for every input. However, the desired result is not simply the expectation of this distribution,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Fengjia Zhang , Samrudhdhi B. Rangrej , Tristan Aumentado-Armstrong , Afsaneh Fazly , Alex Levinshtein

Physics-informed neural networks have emerged as a coherent framework for building predictive models that combine statistical patterns with domain knowledge. The underlying notion is to enrich the optimization loss function with known…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-20 Zhenyu Dai , Ben Moews , Ricardo Vilalta , Romeel Dave

Convolutional neural networks can automatically learn features via deep network architectures and given input samples. However, the robustness of obtained models may face challenges in varying scenes. Bigger differences in network…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Ziang Wu , Jinwei Xie , Xuanyu Zhang , Tao Wang , Yongjun Zhang , Qi Zhu , Chunwei Tian

Super-resolution reconstruction (SRR) is a process aimed at enhancing spatial resolution of images, either from a single observation, based on the learned relation between low and high resolution, or from multiple images presenting the same…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Michal Kawulok , Pawel Benecki , Szymon Piechaczek , Krzysztof Hrynczenko , Daniel Kostrzewa , Jakub Nalepa

The thesis focuses on various techniques to find an alternate approximation method that could be universally used for a wide range of CFD problems but with low computational cost and low runtime. Various techniques have been explored within…

Machine Learning · Computer Science 2021-11-05 Siddharth Rout , Vikas Dwivedi , Balaji Srinivasan

We use physics-informed neural networks for solving the shallow-water equations for tsunami modeling. Physics-informed neural networks are an optimization based approach for solving differential equations that is completely meshless. This…

Computational Physics · Physics 2024-06-25 Rüdiger Brecht , Elsa Cardoso-Bihlo , Alex Bihlo

In the last decade, much work in atmospheric science has focused on spatial verification (SV) methods for gridded prediction, which overcome serious disadvantages of pixelwise verification. However, neural networks (NN) in atmospheric…

Machine Learning · Computer Science 2022-12-08 Ryan Lagerquist , Imme Ebert-Uphoff

Convolutional Neural Networks (CNNs) have been consistently proved state-of-the-art results in image Super-Resolution (SR), representing an exceptional opportunity for the remote sensing field to extract further information and knowledge…

Image and Video Processing · Electrical Eng. & Systems 2020-11-02 Francesco Salvetti , Vittorio Mazzia , Aleem Khaliq , Marcello Chiaberge

Recently, physics informed neural networks have successfully been applied to a broad variety of problems in applied mathematics and engineering. The principle idea is to use a neural network as a global ansatz function to partial…

Machine Learning · Computer Science 2022-03-28 Alexander Henkes , Henning Wessels , Rolf Mahnken

In this paper, we develop a deep learning approach for the accurate solution of challenging problems of near-field microscopy that leverages the powerful framework of physics-informed neural networks (PINNs) for the inversion of the complex…

Optics · Physics 2024-06-12 Yuyao Chen , Luca Dal Negro

This paper investigates the super-resolution (SR) of velocity fields in two-dimensional fluids from the viewpoint of rotational equivariance. SR refers to techniques that estimate high-resolution images from those in low resolution and has…

Fluid Dynamics · Physics 2022-10-26 Yuki Yasuda , Ryo Onishi

The capabilities of super-resolution reconstruction (SRR)---techniques for enhancing image spatial resolution---have been recently improved significantly by the use of deep convolutional neural networks. Commonly, such networks are learned…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Michal Kawulok , Szymon Piechaczek , Krzysztof Hrynczenko , Pawel Benecki , Daniel Kostrzewa , Jakub Nalepa

Current learning-based single image super-resolution (SISR) algorithms underperform on real data due to the deviation in the assumed degrada-tion process from that in the real-world scenario. Conventional degradation processes consider…

Image and Video Processing · Electrical Eng. & Systems 2022-02-14 Zhenxing Dong , Hong Cao , Wang Shen , Yu Gan , Yuye Ling , Guangtao Zhai , Yikai Su

The state of the art in video super-resolution (SR) are techniques based on deep learning, but they perform poorly on real-world videos (see Figure 1). The reason is that training image-pairs are commonly created by downscaling a…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Noam Elron , Alex Itskovich , Shahar S. Yuval , Noam Levy

Image super-resolution (SR) is a representative low-level vision problem. Although deep SR networks have achieved extraordinary success, we are still unaware of their working mechanisms. Specifically, whether SR networks can learn semantic…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Yihao Liu , Anran Liu , Jinjin Gu , Zhipeng Zhang , Wenhao Wu , Yu Qiao , Chao Dong

This paper presents the potential of applying physics-informed neural networks for solving nonlinear multiphysics problems, which are essential to many fields such as biomedical engineering, earthquake prediction, and underground energy…

Computational Engineering, Finance, and Science · Computer Science 2020-07-01 Teeratorn Kadeethum , Thomas M Jorgensen , Hamidreza M Nick

We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations. In this two part…

Artificial Intelligence · Computer Science 2017-11-30 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

Recently, convolutional networks have achieved remarkable development in remote sensing image Super-Resoltuion (SR) by minimizing the regression objectives, e.g., MSE loss. However, despite achieving impressive performance, these methods…

Image and Video Processing · Electrical Eng. & Systems 2023-10-31 Yi Xiao , Qiangqiang Yuan , Kui Jiang , Jiang He , Xianyu Jin , Liangpei Zhang