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Advances in large language models have driven strong performance across many tasks, but their memory and compute costs still hinder deployment. SVD-based compression reduces storage and can speed up inference via low-rank factors, yet…

Machine Learning · Computer Science 2026-02-04 Ali Abbasi , Chayne Thrash , Haoran Qin , Shansita Sharma , Sepehr Seifi , Soheil Kolouri

Motion estimation is a fundamental step in dynamic medical image processing for the assessment of target organ anatomy and function. However, existing image-based motion estimation methods, which optimize the motion field by evaluating the…

Image and Video Processing · Electrical Eng. & Systems 2021-11-09 Yuyu Guo , Lei Bi , Dongming Wei , Liyun Chen , Zhengbin Zhu , Dagan Feng , Ruiyan Zhang , Qian Wang , Jinman Kim

Stepwise signals are ubiquitous in single-molecule detections, where abrupt changes in signal levels typically correspond to molecular conformational changes or state transitions. However, these features are inevitably obscured by noise,…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Xingdi Tong , Chenyu Wen

In the era of information explosion, efficiently leveraging large-scale unlabeled data while minimizing the reliance on high-quality pixel-level annotations remains a critical challenge in the field of medical imaging. Semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Hongjie Zhu , Xiwei Liu , Rundong Xue , Zeyu Zhang , Yong Xu , Daji Ergu , Ying Cai , Yang Zhao

A shift of paradigm is currently underway in biomedical ultrasound thanks to plane and diverging waves for ultrafast imaging. One remaining challenge consists in the correction of phase and amplitude aberrations induced during propagation…

Image and Video Processing · Electrical Eng. & Systems 2019-10-15 Hanna Bendjador , Thomas Deffieux , Mickaël Tanter

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

We develop a data-driven approach for signal denoising that utilizes variational mode decomposition (VMD) algorithm and Cramer Von Misses (CVM) statistic. In comparison with the classical empirical mode decomposition (EMD), VMD enjoys…

Signal Processing · Electrical Eng. & Systems 2020-06-02 Khuram Naveed , Muhammad Tahir Akhtar , Muhammad Faisal Siddiqui , Naveed ur Rehman

The tensor Singular Value Decomposition (t-SVD) for third order tensors that was proposed by Kilmer and Martin~\cite{2011kilmer} has been applied successfully in many fields, such as computed tomography, facial recognition, and video…

Numerical Analysis · Mathematics 2016-09-23 Jiani Zhang , Arvind K. Saibaba , Misha Kilmer , Shuchin Aeron

Effective suppression of surface-related multiples is essential to prevent imaging artifacts and erroneous structural interpretations. While conventional approaches rely on accurate priors or subsurface model knowledge, and supervised…

Geophysics · Physics 2026-05-01 Huan Song , Shijun Cheng , Huanhuan Tang , Wei Ouyang , Weijian Mao

Wide-field fluorescence microscopy with compact optics often suffers from spatially varying blur due to field-dependent aberrations, vignetting, and sensor truncation, while finite sensor sampling imposes an inherent trade-off between field…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Qianwan Yang , Zhixiong Chen , Jiaqi Zhang , Ruipeng Guo , Guorong Hu , Lei Tian

Sparse support vector machine (SVM) is a popular classification technique that can simultaneously learn a small set of the most interpretable features and identify the support vectors. It has achieved great successes in many real-world…

Machine Learning · Statistics 2019-07-19 Weizhong Zhang , Bin Hong , Wei Liu , Jieping Ye , Deng Cai , Xiaofei He , Jie Wang

We introduce the method of compressed dynamic mode decomposition (cDMD) for background modeling. The dynamic mode decomposition (DMD) is a regression technique that integrates two of the leading data analysis methods in use today: Fourier…

Computer Vision and Pattern Recognition · Computer Science 2016-12-13 N. Benjamin Erichson , Steven L. Brunton , J. Nathan Kutz

Beamforming techniques that employ Singular Value Decomposition (SVD) are commonly used in Multi-Input Multi-Output (MIMO) wireless communication systems. In the absence of channel coding, when a single symbol is transmitted, these systems…

Information Theory · Computer Science 2009-11-05 Hong Ju Park , Boyu Li , Ender Ayanoglu

In the era of big data, effectively compressing large datasets while performing complex mathematical operations is crucial. Tensor-based decomposition methods have shown superior compression capabilities with minimal loss of accuracy…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-18 Md Taufique Hussain , Grey Ballard , Aditya Devarakonda , Srinivas Eswar , Naman Pesricha , Vishwas Rao

Efficient and fast computation of a tensor singular value decomposition (t-SVD) with a few passes over the underlying data tensor is crucial because of its many potential applications. The current/existing subspace randomized algorithms…

Numerical Analysis · Mathematics 2025-02-10 Salman Ahmadi-Asl , Anh-Huy Phan , Andrzej Cichocki

In this work we present a novel methodology that combines Higher Order Singular Value Decomposition (HOSVD) with Deep Learning (DL) techniques for super-resolution in computational fluid dynamics (CFD) and sparse experimental datasets. This…

A new statistical model designed for regression analysis with a sparse design matrix is proposed. This new model utilizes the positions of the limited non-zero elements in the design matrix to decompose the regression model into…

Applications · Statistics 2022-01-17 Hsien-Wei Chen

The ability to express a learning task in terms of a primal and a dual optimization problem lies at the core of a plethora of machine learning methods. For example, Support Vector Machine (SVM), Least-Squares Support Vector Machine…

Machine Learning · Computer Science 2024-10-22 Frederiek Wesel , Kim Batselier

A novel framework of compressed sensing, namely statistical compressed sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution, and achieving accurate reconstruction on average, is…

Computer Vision and Pattern Recognition · Computer Science 2015-05-27 Guoshen Yu , Guillermo Sapiro

Very deep convolutional neural networks (CNNs) have been firmly established as the primary methods for many computer vision tasks. However, most state-of-the-art CNNs are large, which results in high inference latency. Recently, depth-wise…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Yihui He , Jianing Qian , Jianren Wang , Cindy X. Le , Congrui Hetang , Qi Lyu , Wenping Wang , Tianwei Yue