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Deep learning has recently gained attention in the atmospheric and oceanic sciences for its potential to improve the accuracy of numerical simulations or to reduce computational costs. Super-resolution is one such technique for…

Atmospheric and Oceanic Physics · Physics 2023-09-21 Yuki Yasuda , Ryo Onishi

In many mechanistic medical, biological, physical and engineered spatiotemporal dynamic models the numerical solution of partial differential equations (PDEs) can make simulations impractically slow. Biological models require the…

Soft Condensed Matter · Physics 2021-02-11 J. Quetzalcóatl Toledo-Marín , Geoffrey Fox , James P. Sluka , James A. Glazier

With advancement in deep neural network (DNN), recent state-of-the-art (SOTA) image superresolution (SR) methods have achieved impressive performance using deep residual network with dense skip connections. While these models perform well…

Image and Video Processing · Electrical Eng. & Systems 2021-01-25 Zhihong Pan , Baopu Li , Teng Xi , Yanwen Fan , Gang Zhang , Jingtuo Liu , Junyu Han , Errui Ding

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

Machine Learning · Computer Science 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

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

Conventional numerical solvers for the radiative transfer equation (RTE) exhibit severe sensitivity to medium parameters. To address this, we propose an operator learning framework that approximates the RTE solution map as a function of…

Numerical Analysis · Mathematics 2026-04-28 Qinchen Song , Xinliang Liu , Lei Zhang

This paper proposes a deep learning architecture based on Residual Network that dynamically adjusts the number of executed layers for the regions of the image. This architecture is end-to-end trainable, deterministic and problem-agnostic.…

Computer Vision and Pattern Recognition · Computer Science 2017-07-04 Michael Figurnov , Maxwell D. Collins , Yukun Zhu , Li Zhang , Jonathan Huang , Dmitry Vetrov , Ruslan Salakhutdinov

Video super-resolution aims at generating a high-resolution video from its low-resolution counterpart. With the rapid rise of deep learning, many recently proposed video super-resolution methods use convolutional neural networks in…

Computer Vision and Pattern Recognition · Computer Science 2020-01-07 Xiaohong Liu , Lingshi Kong , Yang Zhou , Jiying Zhao , Jun Chen

Depth super-resolution (DSR) aims to restore high-resolution (HR) depth from low-resolution (LR) one, where RGB image is often used to promote this task. Recent image guided DSR approaches mainly focus on spatial domain to rebuild depth…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Zhengxue Wang , Zhiqiang Yan , Jian Yang

The development of remote sensing and deep learning techniques has enabled building semantic segmentation with high accuracy and efficiency. Despite their success in different tasks, the discussions on the impact of spatial resolution on…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Zhiling Guo , Xiaodan Shi , Haoran Zhang , Dou Huang , Xiaoya Song , Jinyue Yan , Ryosuke Shibasaki

Neural operators (NO) are discretization invariant deep learning methods with functional output and can approximate any continuous operator. NO have demonstrated the superiority of solving partial differential equations (PDEs) over other…

Numerical Analysis · Mathematics 2024-02-02 Jianguo Huang , Yue Qiu

Video super-resolution (VSR) aims to reconstruct a sequence of high-resolution (HR) images from their corresponding low-resolution (LR) versions. Traditionally, solving a VSR problem has been based on iterative algorithms that can exploit…

Image and Video Processing · Electrical Eng. & Systems 2021-02-24 Benjamin Naoto Chiche , Arnaud Woiselle , Joana Frontera-Pons , Jean-Luc Starck

We aim at accelerating super-resolution (SR) networks on large images (2K-8K). The large images are usually decomposed into small sub-images in practical usages. Based on this processing, we found that different image regions have different…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Xiangtao Kong , Hengyuan Zhao , Yu Qiao , Chao Dong

We present a new scientific machine learning method that learns from data a computationally inexpensive surrogate model for predicting the evolution of a system governed by a time-dependent nonlinear partial differential equation (PDE), an…

Numerical Analysis · Mathematics 2022-02-28 Elizabeth Qian , Ionut-Gabriel Farcas , Karen Willcox

Recent advances in image super-resolution (SR) explored the power of deep learning to achieve a better reconstruction performance. However, the feedback mechanism, which commonly exists in human visual system, has not been fully exploited…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Zhen Li , Jinglei Yang , Zheng Liu , Xiaomin Yang , Gwanggil Jeon , Wei Wu

The deep operator network (DeepONet) is a popular neural operator architecture that has shown promise in solving partial differential equations (PDEs) by using deep neural networks to map between infinite-dimensional function spaces. In the…

Machine Learning · Computer Science 2025-02-25 Luis Mandl , Somdatta Goswami , Lena Lambers , Tim Ricken

Recent learning-based inpainting algorithms have achieved compelling results for completing missing regions after removing undesired objects in videos. To maintain the temporal consistency among the frames, 3D spatial and temporal…

Computer Vision and Pattern Recognition · Computer Science 2021-11-08 Vishnu Sanjay Ramiya Srinivasan , Rui Ma , Qiang Tang , Zili Yi , Zhan Xu

Deep neural networks have exhibited remarkable performance in image super-resolution (SR) tasks by learning a mapping from low-resolution (LR) images to high-resolution (HR) images. However, the SR problem is typically an ill-posed problem…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Yong Guo , Mingkui Tan , Zeshuai Deng , Jingdong Wang , Qi Chen , Jiezhang Cao , Yanwu Xu , Jian Chen

High-resolution remote sensing images (HRRSIs) contain substantial ground object information, such as texture, shape, and spatial location. Semantic segmentation, which is an important task for element extraction, has been widely used in…

Computer Vision and Pattern Recognition · Computer Science 2020-05-08 Haifeng Li , Kaijian Qiu , Li Chen , Xiaoming Mei , Liang Hong , Chao Tao

Speech super-resolution (SSR) aims to predict a high resolution (HR) speech signal from its low resolution (LR) corresponding part. Most neural SSR models focus on producing the final result in a noise-free environment by recovering the…

Audio and Speech Processing · Electrical Eng. & Systems 2023-10-11 Junkang Yang , Hongqing Liu , Lu Gan , Yi Zhou