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A classical problem in matrix computations is the efficient and reliable approximation of a given matrix by a matrix of lower rank. The truncated singular value decomposition (SVD) is known to provide the best such approximation for any…

Numerical Analysis · Mathematics 2014-08-12 Ming Gu

The traditional method of computing singular value decomposition (SVD) of a data matrix is based on a least squares principle, thus, is very sensitive to the presence of outliers. Hence the resulting inferences across different applications…

Statistics Theory · Mathematics 2024-09-17 Subhrajyoty Roy , Abhik Ghosh , Ayanendranath Basu

Panoramic X-ray is a simple and effective tool for diagnosing dental diseases in clinical practice. When deep learning models are developed to assist dentist in interpreting panoramic X-rays, most of their performance suffers from the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Zijian Cai , Xinquan Yang , Xuguang Li , Xiaoling Luo , Xuechen Li , Linlin Shen , He Meng , Yongqiang Deng

Coronavirus Disease 2019 (COVID-19) demonstrated the need for accurate and fast diagnosis methods for emergent viral diseases. Soon after the emergence of COVID-19, medical practitioners used X-ray and computed tomography (CT) images of…

Image and Video Processing · Electrical Eng. & Systems 2021-01-22 Weihan Zhang , Bryan Pogorelsky , Mark Loveland , Trevor Wolf

Continual machine unlearning aims to remove the influence of data that should no longer be retained, while preserving the usefulness of the model on everything else. This setting becomes especially difficult when deletion requests arrive…

Machine Learning · Computer Science 2026-04-15 Yogachandran Rahulamathavan , Nasir Iqbal , Juncheng Hu , Sangarapillai Lambotharan

Singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensionsl model which is,…

Numerical Analysis · Mathematics 2016-11-09 Alessandro Alla , J. Nathan Kutz

Least squares deconvolution (LSD) is a powerful method of extracting high-precision average line profiles from the stellar intensity and polarization spectra. Despite its common usage, the LSD method is poorly documented and has never been…

Solar and Stellar Astrophysics · Physics 2015-05-19 O. Kochukhov , V. Makaganiuk , N. Piskunov

Pneumonia disease is one of the leading causes of death among children and adults worldwide. In the last ten years, computer-aided pneumonia detection methods have been developed to improve the efficiency and accuracy of the diagnosis…

Image and Video Processing · Electrical Eng. & Systems 2024-08-27 Xinmei Xu

Filtering based on Singular Value Decomposition (SVD) provides substantial separation of clutter, flow and noise in high frame rate ultrasound flow imaging. The use of SVD as a clutter filter has greatly improved techniques such as vector…

Pneumonia is a life-threatening lung infection resulting from several different viral infections. Identifying and treating pneumonia on chest X-ray images can be difficult due to its similarity to other pulmonary diseases. Thus, the…

Image and Video Processing · Electrical Eng. & Systems 2023-12-14 Alhassan Mabrouk , Rebeca P. Díaz Redondo , Abdelghani Dahou , Mohamed Abd Elaziz , Mohammed Kayed

As deep learning technology continues to advance, image generation models, especially models like Stable Diffusion, are finding increasingly widespread application in visual arts creation. However, these models often face challenges such as…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Chengcheng Feng , Mu He , Qiuyu Tian , Haojie Yin , Xiaofang Zhao , Hongwei Tang , Xingqiang Wei

Singular Value Decomposition (SVD) constitutes a bridge between the linear algebra concepts and multi-layer neural networks---it is their linear analogy. Besides of this insight, it can be used as a good initial guess for the network…

Machine Learning · Computer Science 2019-09-16 Bernhard Bermeitinger , Tomas Hrycej , Siegfried Handschuh

Pneumonia poses a significant global health challenge, demanding accurate and timely diagnosis. While deep learning, particularly Convolutional Neural Networks (CNNs), has shown promise in medical image analysis for pneumonia detection,…

Machine Learning · Computer Science 2025-10-29 Gazi Tanbhir , Md. Farhan Shahriyar , Abdullah Md Raihan Chy

Accurately delineating the visual pathway (VP) is crucial for understanding the human visual system and diagnosing related disorders. Exploring multi-parametric MR imaging data has been identified as an important way to delineate VP.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Alou Diakite , Cheng Li , Lei Xie , Yuanjing Feng , Ruoyou Wu , Jianzhong He , Hairong Zheng , Shanshan Wang

The Randomized Singular Value Decomposition (RSVD) is a widely used algorithm for efficiently computing low-rank approximations of large matrices, without the need to construct a full-blown SVD. Of interest, of course, is the approximation…

Numerical Analysis · Mathematics 2025-10-09 Danil Akhtiamov , Reza Ghane , Babak Hassibi

Presently, Covid-19 is a serious threat to the world at large. Efforts are being made to reduce disease screening times and in the development of a vaccine to resist this disease, even as thousands succumb to it everyday. We propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Hmrishav Bandyopadhyay , Shuvayan Ghosh Dastidar , Bisakh Mondal , Biplab Banerjee , Nibaran Das

In this paper, we propose a new deep feature selection method based on deep architecture. Our method uses stacked auto-encoders for feature representation in higher-level abstraction. We developed and applied a novel feature learning…

Machine Learning · Computer Science 2017-04-21 Milad Zafar Nezhad , Dongxiao Zhu , Xiangrui Li , Kai Yang , Phillip Levy

Singular Value Decomposition (SVD) has recently emerged as a new paradigm for processing different types of images. SVD is an attractive algebraic transform for image processing applications. The paper proposes an experimental survey for…

Computer Vision and Pattern Recognition · Computer Science 2012-12-03 Rowayda A. Sadek

Weakly supervised disease classification of CT imaging suffers from poor localization owing to case-level annotations, where even a positive scan can hold hundreds to thousands of negative slices along multiple planes. Furthermore, although…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Anindo Saha , Fakrul I. Tushar , Khrystyna Faryna , Vincent M. D'Anniballe , Rui Hou , Maciej A. Mazurowski , Geoffrey D. Rubin , Joseph Y. Lo

Singular value decomposition (SVD) is a widely used technique for dimensionality reduction and computation of basis vectors. In many applications, especially in fluid mechanics and image processing the matrices are dense, but low-rank…

Numerical Analysis · Computer Science 2019-05-13 Vinita Vasudevan , M. Ramakrishna
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