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Recent developments in deep learning have revolutionized the paradigm of image restoration. However, its applications on real image denoising are still limited, due to its sensitivity to training data and the complex nature of real image…

Computer Vision and Pattern Recognition · Computer Science 2019-05-06 Jin Zeng , Jiahao Pang , Wenxiu Sun , Gene Cheung

Convolutional neural network (CNN)-based feature learning has become state of the art, since given sufficient training data, CNN can significantly outperform traditional methods for various classification tasks. However, feature learning…

Machine Learning · Computer Science 2019-12-10 Minxiang Ye , Vladimir Stankovic , Lina Stankovic , Gene Cheung

Generic deep learning (DL) networks for image restoration like denoising and interpolation lack mathematical interpretability, require voluminous training data to tune a large parameter set, and are fragile in the face of covariate shift.…

Image and Video Processing · Electrical Eng. & Systems 2025-03-13 Jianghe Cai , Gene Cheung , Fei Chen

Low-dose CT imaging requires reconstruction from noisy indirect measurements which can be defined as an ill-posed linear inverse problem. In addition to conventional FBP method in CT imaging, recent compressed sensing based methods exploit…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Mehmet Ozan Unal , Metin Ertas , Isa Yildirim

In the graph signal processing (GSP) literature, graph Laplacian regularizer (GLR) was used for signal restoration to promote piecewise smooth / constant reconstruction with respect to an underlying graph. However, for signals slowly…

Signal Processing · Electrical Eng. & Systems 2024-04-08 Fei Chen , Gene Cheung , Xue Zhang

In the graph signal processing (GSP) literature, it has been shown that signal-dependent graph Laplacian regularizer (GLR) can efficiently promote piecewise constant (PWC) signal reconstruction for various image restoration tasks. However,…

Image and Video Processing · Electrical Eng. & Systems 2021-06-21 Fei Chen , Gene Cheung , Xue Zhang

The use of deep learning has successfully solved several problems in the field of medical imaging. Deep learning has been applied to the CT denoising problem successfully. However, the use of deep learning requires large amounts of data to…

Image and Video Processing · Electrical Eng. & Systems 2022-04-04 Mayank Patwari , Ralf Gutjahr , Rainer Raupach , Andreas Maier

Low-dose computed tomography (LDCT) is critical for minimizing radiation exposure, but it often leads to increased noise and reduced image quality. Traditional denoising methods, such as iterative optimization or supervised learning, often…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Debopom Sutradhar , Ripon Kumar Debnath , Mohaimenul Azam Khan Raiaan , Yan Zhang , Reem E. Mohamed , Sami Azam

In this work, we address the solution of both linear and nonlinear ill-posed inverse problems by developing a novel graph-based regularization framework, where the regularization term is formulated through an iteratively updated graph…

Numerical Analysis · Mathematics 2026-01-21 Harshit Bajpai , Ankik Kumar Giri

This paper proposes a parameter collaborative optimization algorithm for large language models, enhanced with graph spectral analysis. The goal is to improve both fine-tuning efficiency and structural awareness during training. In the…

Machine Learning · Computer Science 2025-06-03 Hanlu Zhang , Yumeng Ma , Shuo Wang , Guiran Liu , Binrong Zhu

Reconstructing a signal on a graph from noisy observations of a subset of the vertices is a fundamental problem in the field of graph signal processing. This paper investigates how sample size affects reconstruction error in the presence of…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Baskaran Sripathmanathan , Xiaowen Dong , Michael Bronstein

Low dose X-ray computed tomography (LDCT) is desirable for reduced patient dose. This work develops image reconstruction methods with deep learning (DL) regularization for LDCT. Our methods are based on unrolling of proximal…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Qiaoqiao Ding , Gaoyu Chen , Xiaoqun Zhang , Qiu Huang , Hui Jiand Hao Gao

Regularization is a critical component in deep learning. The most commonly used approach, weight decay, applies a constant penalty coefficient uniformly across all parameters. This may be overly restrictive for some parameters, while…

Machine Learning · Computer Science 2024-12-10 Jörg K. H. Franke , Michael Hefenbrock , Gregor Koehler , Frank Hutter

While deep learning (DL) architectures like convolutional neural networks (CNNs) have enabled effective solutions in image denoising, in general their implementations overly rely on training data, lack interpretability, and require tuning…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Huy Vu , Gene Cheung , Yonina C. Eldar

Electron ptychography enables dose-efficient atomic-resolution imaging, but conventional reconstruction algorithms suffer from noise sensitivity, slow convergence, and extensive manual hyperparameter tuning for regularization, especially in…

Image and Video Processing · Electrical Eng. & Systems 2025-11-12 Arthur R. C. McCray , Stephanie M. Ribet , Georgios Varnavides , Colin Ophus

Commercial iterative reconstruction techniques on modern CT scanners target radiation dose reduction but there are lingering concerns over their impact on image appearance and low contrast detectability. Recently, machine learning,…

Computer Vision and Pattern Recognition · Computer Science 2019-07-16 Hongming Shan , Atul Padole , Fatemeh Homayounieh , Uwe Kruger , Ruhani Doda Khera , Chayanin Nitiwarangkul , Mannudeep K. Kalra , Ge Wang

Limited data and low dose constraints are common problems in a variety of tomographic reconstruction paradigms which lead to noisy and incomplete data. Over the past few years sinogram denoising has become an essential pre-processing step…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Faisal Mahmood , Nauman Shahid , Pierre Vandergheynst , Ulf Skoglund

Low-rank approximation models of data matrices have become important machine learning and data mining tools in many fields including computer vision, text mining, bioinformatics and many others. They allow for embedding high-dimensional…

Machine Learning · Computer Science 2020-10-19 Penglong Zhai , Shihua Zhang

Graph Neural Networks (GNNs) play a pivotal role in graph-based tasks for their proficiency in representation learning. Among the various GNN methods, spectral GNNs employing polynomial filters have shown promising performance on tasks…

Machine Learning · Computer Science 2025-01-09 Haipeng Ding , Zhewei Wei , Yuhang Ye

Computed tomography from a low radiation dose (LDCT) is challenging due to high noise in the projection data. Popular approaches for LDCT image reconstruction are two-stage methods, typically consisting of the filtered backprojection (FBP)…

Image and Video Processing · Electrical Eng. & Systems 2025-03-17 Tim Selig , Thomas März , Martin Storath , Andreas Weinmann
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