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Related papers: U-WNO:U-Net-enhanced Wavelet Neural Operator for f…

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High-frequency features are critical in multiscale phenomena such as turbulent flows and phase transitions, since they encode essential physical information. The recently proposed Wavelet Neural Operator (WNO) utilizes wavelets'…

Numerical Analysis · Mathematics 2025-06-24 Wei-Min Lei , Hou-Biao Li

With massive advancements in sensor technologies and Internet-of-things, we now have access to terabytes of historical data; however, there is a lack of clarity in how to best exploit the data to predict future events. One possible…

Computational Physics · Physics 2022-05-05 Tapas Tripura , Souvik Chakraborty

Accurate measurement of fetal head circumference is crucial for estimating fetal growth during routine prenatal screening. Prior to measurement, it is necessary to accurately identify and segment the region of interest, specifically the…

Image and Video Processing · Electrical Eng. & Systems 2024-07-30 Fangyijie Wang , Guénolé Silvestre , Kathleen M. Curran

This work introduces the Wavelet-Laplace Neural Operator (WLNO), a novel neural operator that fuses Haar wavelet multi-scale spatial decomposition with the Laplace-domain pole-residue formulation of the Laplace Neural Operator (LNO). While…

Machine Learning · Computer Science 2026-05-26 Muhammad Abid , Arth Sojitra , Omer San

Deep learning has shown its great promise in various biomedical image segmentation tasks. Existing models are typically based on U-Net and rely on an encoder-decoder architecture with stacked local operators to aggregate long-range…

Computer Vision and Pattern Recognition · Computer Science 2020-02-20 Zhengyang Wang , Na Zou , Dinggang Shen , Shuiwang Ji

Image segmentation is a fundamental task in image analysis and clinical practice. The current state-of-the-art techniques are based on U-shape type encoder-decoder networks with skip connections, called U-Net. Despite the powerful…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Chun-Wun Cheng , Christina Runkel , Lihao Liu , Raymond H Chan , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

FNO and DeepONet are by far the most popular neural operator learning algorithms. FNO seems to enjoy an edge in popularity due to its ease of use, especially with high dimensional data. However, a lesser-acknowledged feature of DeepONet is…

Computational Physics · Physics 2024-01-02 Waleed Diab , Mohammed Al-Kobaisi

Deep neural operators are recognized as an effective tool for learning solution operators of complex partial differential equations (PDEs). As compared to laborious analytical and computational tools, a single neural operator can predict…

Machine Learning · Statistics 2023-02-14 Navaneeth N , Tapas Tripura , Souvik Chakraborty

U-net is an image segmentation technique developed primarily for medical image analysis that can precisely segment images using a scarce amount of training data. These traits provide U-net with a very high utility within the medical imaging…

Image and Video Processing · Electrical Eng. & Systems 2021-06-10 Nahian Siddique , Paheding Sidike , Colin Elkin , Vijay Devabhaktuni

Neural segmentation has a great impact on the smooth implementation of local anesthesia surgery. At present, the network for the segmentation includes U-NET [1] and SegNet [2]. U-NET network has short training time and less training…

Computer Vision and Pattern Recognition · Computer Science 2017-08-17 Chenyang Xu , Mengxin Li

In this paper, we propose a novel data-driven operator learning framework referred to as the \textit{Randomized Prior Wavelet Neural Operator} (RP-WNO). The proposed RP-WNO is an extension of the recently proposed wavelet neural operator,…

Machine Learning · Statistics 2023-02-03 Shailesh Garg , Souvik Chakraborty

Although the U-Net architecture has been extensively used for segmentation of medical images, we address two of its shortcomings in this work. Firstly, the accuracy of vanilla U-Net degrades when the target regions for segmentation exhibit…

Medical image segmentation is crucial for the development of computer-aided diagnostic and therapeutic systems, but still faces numerous difficulties. In recent years, the commonly used encoder-decoder architecture based on CNNs has been…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Davoud Saadati , Omid Nejati Manzari , Sattar Mirzakuchaki

Models based on U-like structures have improved the performance of medical image segmentation. However, the single-layer decoder structure of U-Net is too "thin" to exploit enough information, resulting in large semantic differences between…

Image and Video Processing · Electrical Eng. & Systems 2023-09-08 Haoyuan Chen , Yufei Han , Pin Xu , Yanyi Li , Kuan Li , Jianping Yin

Medical image segmentation is an essential prerequisite for developing healthcare systems, especially for disease diagnosis and treatment planning. On various medical image segmentation tasks, the u-shaped architecture, also known as U-Net,…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Jieneng Chen , Yongyi Lu , Qihang Yu , Xiangde Luo , Ehsan Adeli , Yan Wang , Le Lu , Alan L. Yuille , Yuyin Zhou

Segmentation is one of the most significant steps in image processing. Segmenting an image is a technique that makes it possible to separate a digital image into various areas based on the different characteristics of pixels in the image.…

Image and Video Processing · Electrical Eng. & Systems 2024-11-20 Sina Derakhshandeh , Ali Mahloojifar

We present a novel, parameter-efficient and practical fully convolutional neural network architecture, termed InfiNet, aimed at voxel-wise semantic segmentation of infant brain MRI images at iso-intense stage, which can be easily extended…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Shubham Kumar , Sailesh Conjeti , Abhijit Guha Roy , Christian Wachinger , Nassir Navab

This paper introduces Spectral U-Net, a novel deep learning network based on spectral decomposition, by exploiting Dual Tree Complex Wavelet Transform (DTCWT) for down-sampling and inverse Dual Tree Complex Wavelet Transform (iDTCWT) for…

Image and Video Processing · Electrical Eng. & Systems 2024-09-17 Yaopeng Peng , Milan Sonka , Danny Z. Chen

Medical image segmentation plays an essential role in developing computer-assisted diagnosis and therapy systems, yet still faces many challenges. In the past few years, the popular encoder-decoder architectures based on CNNs (e.g., U-Net)…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Guoping Xu , Xingrong Wu , Xuan Zhang , Xinwei He

Development of deep learning systems for biomedical segmentation often requires access to expert-driven, manually annotated datasets. If more than a single expert is involved in the annotation of the same images, then the inter-expert…

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