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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…

数值分析 · 数学 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…

统计理论 · 数学 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…

计算机视觉与模式识别 · 计算机科学 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…

图像与视频处理 · 电气工程与系统科学 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…

机器学习 · 计算机科学 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,…

数值分析 · 数学 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…

太阳与恒星天体物理 · 物理学 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…

图像与视频处理 · 电气工程与系统科学 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…

图像与视频处理 · 电气工程与系统科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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,…

机器学习 · 计算机科学 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.…

计算机视觉与模式识别 · 计算机科学 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…

数值分析 · 数学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

数值分析 · 计算机科学 2019-05-13 Vinita Vasudevan , M. Ramakrishna