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In medical image segmentation, convolutional neural networks (CNNs) and transformers are dominant. For CNNs, given the local receptive fields of convolutional layers, long-range spatial correlations are captured through consecutive…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Ken C. L. Wong , Hongzhi Wang , Tanveer Syeda-Mahmood

Fourier Neural Operators (FNO) offer a principled approach to solving challenging partial differential equations (PDE) such as turbulent flows. At the core of FNO is a spectral layer that leverages a discretization-convergent representation…

Machine Learning · Computer Science 2024-03-06 Robert Joseph George , Jiawei Zhao , Jean Kossaifi , Zongyi Li , Anima Anandkumar

Deep learning surrogate models have shown promise in solving partial differential equations (PDEs). Among them, the Fourier neural operator (FNO) achieves good accuracy, and is significantly faster compared to numerical solvers, on a…

Machine Learning · Computer Science 2024-05-03 Zongyi Li , Daniel Zhengyu Huang , Burigede Liu , Anima Anandkumar

With the introduction of Transformers, different attention-based models have been proposed for image segmentation with promising results. Although self-attention allows capturing of long-range dependencies, it suffers from a quadratic…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Ken C. L. Wong , Hongzhi Wang , Tanveer Syeda-Mahmood

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

Fourier neural operators (FNOs) are invariant with respect to the size of input images, and thus images with any size can be fed into FNO-based frameworks without any modification of network architectures, in contrast to traditional…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Ali Kashefi , Tapan Mukerji

Lensless cameras based on thin diffusers offer a compact alternative to conventional refractive imaging but rely on computational reconstruction, since the diffuser's point spread function (PSF) globally multiplexes every scene point across…

Optics · Physics 2026-04-20 Kerem Ekec , Uğur Teğin

Ultrasound-based elasticity imaging is a non-invasive technique for estimating tissue stiffness fields from displacement fields obtained by comparing ultrasound signals before and after compression. While recent deep learning approaches…

Medical Physics · Physics 2026-01-22 Heekyu Kim , Hugon LEe , Minwoo Park , Seunghwa Ryu

One of the most common tasks in medical imaging is semantic segmentation. Achieving this segmentation automatically has been an active area of research, but the task has been proven very challenging due to the large variation of anatomy…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Holger R. Roth , Chen Shen , Hirohisa Oda , Masahiro Oda , Yuichiro Hayashi , Kazunari Misawa , Kensaku Mori

We propose the Factorized Fourier Neural Operator (F-FNO), a learning-based approach for simulating partial differential equations (PDEs). Starting from a recently proposed Fourier representation of flow fields, the F-FNO bridges the…

Machine Learning · Computer Science 2023-03-03 Alasdair Tran , Alexander Mathews , Lexing Xie , Cheng Soon Ong

Fourier neural operators (FNOs) can learn highly nonlinear mappings between function spaces, and have recently become a popular tool for learning responses of complex physical systems. However, to achieve good accuracy and efficiency, FNOs…

Machine Learning · Computer Science 2023-10-31 Ning Liu , Siavash Jafarzadeh , Yue Yu

In this paper we investigate the use of Fourier Neural Operators (FNOs) for image classification in comparison to standard Convolutional Neural Networks (CNNs). Neural operators are a discretization-invariant generalization of neural…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Samira Kabri , Tim Roith , Daniel Tenbrinck , Martin Burger

Neural operators, such as Fourier Neural Operators (FNO), form a principled approach for learning solution operators for PDEs and other mappings between function spaces. However, many real-world problems require high-resolution training…

Deep convolutional neural networks (CNNs) have been intensively used for multi-class segmentation of data from different modalities and achieved state-of-the-art performances. However, a common problem when dealing with large, high…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Chengjia Wang , Tom MacGillivray , Gillian Macnaught , Guang Yang , David Newby

Vision transformers have delivered tremendous success in representation learning. This is primarily due to effective token mixing through self attention. However, this scales quadratically with the number of pixels, which becomes infeasible…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 John Guibas , Morteza Mardani , Zongyi Li , Andrew Tao , Anima Anandkumar , Bryan Catanzaro

A standard practice in developing image recognition models is to train a model on a specific image resolution and then deploy it. However, in real-world inference, models often encounter images different from the training sets in resolution…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Jinsung Jeon , Hyundong Jin , Jonghyun Choi , Sanghyun Hong , Dongeun Lee , Kookjin Lee , Noseong Park

Machine learning applied to computer vision and signal processing is achieving results comparable to the human brain on specific tasks due to the great improvements brought by the deep neural networks (DNN). The majority of state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 José Augusto Stuchi , Levy Boccato , Romis Attux

Zero-shot neural scene segmentation, which reconstructs 3D neural segmentation field without manual annotations, serves as an effective way for scene understanding. However, existing models, especially the efficient 3D Gaussian-based…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Bin Dou , Tianyu Zhang , Zhaohui Wang , Yongjia Ma , Zejian Yuan

Segmentation has been a major task in neuroimaging. A large number of automated methods have been developed for segmenting healthy and diseased brain tissues. In recent years, deep learning techniques have attracted a lot of attention as a…

Image and Video Processing · Electrical Eng. & Systems 2019-07-05 Jimit Doshi , Guray Erus , Mohamad Habes , Christos Davatzikos

Deep convolutional neural networks (CNNs) are state-of-the-art for semantic image segmentation, but typically require many labeled training samples. Obtaining 3D segmentations of medical images for supervised training is difficult and labor…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Zhenlin Xu , Marc Niethammer
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