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The Canonical Polyadic decomposition (CPD) is a convenient and intuitive tool for tensor factorization; however, for higher-order tensors, it often exhibits high computational cost and permutation of tensor entries, these undesirable…

Numerical Analysis · Computer Science 2018-09-05 Anh-Huy Phan , Andrzej Cichocki , Ivan Oseledets , Salman Ahmadi Asl , Giuseppe Calvi , Danilo Mandic

Demosaicking and denoising are among the most crucial steps of modern digital camera pipelines and their joint treatment is a highly ill-posed inverse problem where at-least two-thirds of the information are missing and the rest are…

Computer Vision and Pattern Recognition · Computer Science 2018-07-13 Filippos Kokkinos , Stamatios Lefkimmiatis

A flow decomposition method based on canonical correlation analysis is proposed in this paper to optimally dissect complex flows into mutually orthogonal modes that are ranked by their cross-correlation with an observable. It is…

Fluid Dynamics · Physics 2025-09-05 Benshuai Lyu

Distributed acoustic sensor (DAS) technology leverages optical fiber cables to detect acoustic signals, providing cost-effective and dense monitoring capabilities. It offers several advantages including resistance to extreme conditions,…

Joint blind source separation (J-BSS) is an emerging data-driven technique for multi-set data-fusion. In this paper, J-BSS is addressed from a tensorial perspective. We show how, by using second-order multi-set statistics in J-BSS, a…

Machine Learning · Statistics 2018-05-01 Xiao-Feng Gong , Qiu-Hua Lin , Feng-Yu Cong , Lieven De Lathauwer

As a hybrid imaging technology, photoacoustic microscopy (PAM) imaging suffers from noise due to the maximum permissible exposure of laser intensity, attenuation of ultrasound in the tissue, and the inherent noise of the transducer.…

Image and Video Processing · Electrical Eng. & Systems 2022-01-13 Da He , Jiasheng Zhou , Xiaoyu Shang , Jiajia Luo , Sung-Liang Chen

We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

Information Theory · Computer Science 2014-10-22 Yanting Ma , Junan Zhu , Dror Baron

The tensor rank decomposition, also known as canonical polyadic(CP) or simply tensor decomposition, has a long history in multilinear algebra. However, computing a rank decomposition becomes particularly challenging when the rank lies…

Optimization and Control · Mathematics 2025-11-11 Zequn Zheng , Hongchao Zhang , Guangming Zhou

We apply a Machine Learning technique known as Convolutional Denoising Autoencoder to denoise synthetic images of state-of-the-art radio telescopes, with the goal of detecting the faint, diffused radio sources predicted to characterise the…

Instrumentation and Methods for Astrophysics · Physics 2021-11-03 Claudio Gheller , Franco Vazza

Computed Tomography (CT) imposes risk on the patients due to its inherent X-ray radiation, stimulating the development of low-dose CT (LDCT) imaging methods. Lowering the radiation dose reduces the health risks but leads to noisier…

Image and Video Processing · Electrical Eng. & Systems 2022-11-03 Elvira Zainulina , Alexey Chernyavskiy , Dmitry V. Dylov

Audio denoising is critical in signal processing, enhancing intelligibility and fidelity for applications like restoring musical recordings. This paper presents a proof-of-concept for adapting a state-of-the-art neural audio codec, the…

Sound · Computer Science 2025-11-04 Daniel Jimon , Mircea Vaida , Adriana Stan

Reduction of unwanted environmental noises is an important feature of today's hearing aids (HA), which is why noise reduction is nowadays included in almost every commercially available device. The majority of these algorithms, however, is…

Audio and Speech Processing · Electrical Eng. & Systems 2019-11-26 Marc Aubreville , Kai Ehrensperger , Tobias Rosenkranz , Benjamin Graf , Henning Puder , Andreas Maier

Real-world environment-derived point clouds invariably exhibit noise across varying modalities and intensities. Hence, point cloud denoising (PCD) is essential as a preprocessing step to improve downstream task performance. Deep learning…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Chengwei Zhang , Xueyi Zhang , Mingrui Lao , Tao Jiang , Xinhao Xu , Wenjie Li , Fubo Zhang , Longyong Chen

Image denoising has achieved unprecedented progress as great efforts have been made to exploit effective deep denoisers. To improve the denoising performance in realworld, two typical solutions are used in recent trends: devising better…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Yunhao Zou , Ying Fu

CANDECOMP/PARAFAC (CP) decomposition is the mostly used model to formulate the received tensor signal in a massive MIMO system, as the receiver generally sums the components from different paths or users. To achieve accurate and low-latency…

Signal Processing · Electrical Eng. & Systems 2024-11-21 Xiao Gong , Wei Chen , Bo Ai , Geert Leus

A denoising algorithm seeks to remove noise, errors, or perturbations from a signal. Extensive research has been devoted to this arena over the last several decades, and as a result, today's denoisers can effectively remove large amounts of…

Information Theory · Computer Science 2016-04-19 Christopher A. Metzler , Arian Maleki , Richard G. Baraniuk

The decomposition of a stochastic time series into three component series representing a dual signal - namely, the mean and dispersion - while isolating noise is presented. The decomposition is performed by applying machine learning…

Machine Learning · Computer Science 2025-08-14 Alex Glushkovsky

In this paper, we introduce a novel unsupervised video denoising deep learning approach that can help to mitigate data scarcity issues and shows robustness against different noise patterns, enhancing its broad applicability. Our method…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Mary Damilola Aiyetigbo , Dineshchandar Ravichandran , Reda Chalhoub , Peter Kalivas , Nianyi Li

Medical image acquisition is often intervented by unwanted noise that corrupts the information content. This paper introduces an unsupervised medical image denoising technique that learns noise characteristics from the available images and…

Image and Video Processing · Electrical Eng. & Systems 2021-03-12 Swati Rai , Jignesh S. Bhatt , S. K. Patra

In many practical applications, signals and environments are time- varying, which makes fixed filters unreliable. Adaptive filtering, on the other hand, updates in real time to suppress noise, track nonstationary signals, and identify…

General Mathematics · Mathematics 2026-03-12 Keshav Raj Acharya , Pitambar Acharya