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Related papers: Random matrix route to image denoising

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We consider the problem of reconstructing a discrete-time signal (sequence) with continuous-valued components corrupted by a known memoryless channel. When performance is measured using a per-symbol loss function satisfying mild regularity…

Information Theory · Computer Science 2008-07-23 Kamakshi Sivaramakrishnan , Tsachy Weissman

We develop a data-driven optimal shrinkage algorithm for matrix denoising in the presence of high-dimensional noise with a separable covariance structure; that is, the noise is colored and dependent across samples. The algorithm, coined…

Applications · Statistics 2024-05-14 Pei-Chun Su , Hau-Tieng Wu

Noise, an unwanted component in an image, can be the reason for the degradation of Image at the time of transmission or capturing. Noise reduction from images is still a challenging task. Digital Image Processing is a component of Digital…

Image and Video Processing · Electrical Eng. & Systems 2024-10-31 Sahil Ali Akbar , Ananya Verma

Machine learning techniques work best when the data used for training resembles the data used for evaluation. This holds true for learned single-image denoising algorithms, which are applied to real raw camera sensor readings but, due to…

Computer Vision and Pattern Recognition · Computer Science 2018-11-28 Tim Brooks , Ben Mildenhall , Tianfan Xue , Jiawen Chen , Dillon Sharlet , Jonathan T. Barron

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underline noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

Machine Learning · Computer Science 2021-06-17 Eliya Nachmani , Robin San Roman , Lior Wolf

In this study, we propose a simple and effective fine-tuning algorithm called "restore-from-restored", which can greatly enhance the performance of fully pre-trained image denoising networks. Many supervised denoising approaches can produce…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Seunghwan Lee , Dongkyu Lee , Donghyeon Cho , Jiwon Kim , Tae Hyun Kim

In this paper, we address the problem of recovering images degraded by Poisson noise, where the image is known to belong to a specific class. In the proposed method, a dataset of clean patches from images of the class of interest is…

Computer Vision and Pattern Recognition · Computer Science 2017-06-12 Milad Niknejad , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

Compared with traditional seismic noise attenuation algorithms that depend on signal models and their corresponding prior assumptions, removing noise with a deep neural network is trained based on a large training set, where the inputs are…

Geophysics · Physics 2019-07-23 Siwei Yu , Jianwei Ma , Wenlong Wang

In this article, we present a denoising algorithm to improve the interpretation and quality of scanning tunneling microscopy (STM) images. Given the high level of self-similarity of STM images, we propose a denoising algorithm by…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 João P. Oliveira , Ana Bragança , José Bioucas-Dias , Mário Figueiredo , Luís Alcácer , Jorge Morgado , Quirina Ferreira

Graph Neural Networks (GNNs), which aggregate features from neighbors, are widely used for graph-structured data processing due to their powerful representation learning capabilities. It is generally believed that GNNs can implicitly remove…

Machine Learning · Computer Science 2022-09-30 Songtao Liu , Rex Ying , Hanze Dong , Lu Lin , Jinghui Chen , Dinghao Wu

In the last few years, image denoising has benefited a lot from the fast development of neural networks. However, the requirement of large amounts of noisy-clean image pairs for supervision limits the wide use of these models. Although…

Image and Video Processing · Electrical Eng. & Systems 2021-04-01 Tao Huang , Songjiang Li , Xu Jia , Huchuan Lu , Jianzhuang Liu

Denoising has always been theoretically considered as removal of high frequency disturbances having Gaussian distribution. Here we relax this assumption and the method used here is completely different from traditional thresholding schemes.…

Information Theory · Computer Science 2016-01-19 Vibhor Kumar , Jukka Heikkonen

This paper proposes a novel method which combines both median filter and simple standard deviation to accomplish an excellent edge detector for image processing. First of all, a denoising process must be applied on the grey scale image…

Computer Vision and Pattern Recognition · Computer Science 2013-04-24 Firas A. Jassim

Text-to-image diffusion models allow users control over the content of generated images. Still, text-to-image generation occasionally leads to generation failure requiring users to generate dozens of images under the same text prompt before…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Jiafeng Mao , Xueting Wang , Kiyoharu Aizawa

Matrix denoising is central to signal processing and machine learning. Its statistical analysis when the matrix to infer has a factorised structure with a rank growing proportionally to its dimension remains a challenge, except when it is…

Disordered Systems and Neural Networks · Physics 2025-03-17 Jean Barbier , Francesco Camilli , Justin Ko , Koki Okajima

Random matrix theory allows one to deduce the eigenvalue spectrum of a large matrix given only statistical information about its elements. Such results provide insight into what factors contribute to the stability of complex dynamical…

Disordered Systems and Neural Networks · Physics 2025-01-30 Joseph W. Baron , Thomas Jun Jewell , Christopher Ryder , Tobias Galla

Probabilistic error cancellation is an attempt to reverse the effect of dissipative noise channels on quantum computers by applying unphysical channels after the execution of a quantum algorithm on noisy hardware. We investigate on general…

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

Deep neural network based methods are the state of the art in various image restoration problems. Standard supervised learning frameworks require a set of noisy measurement and clean image pairs for which a distance between the output of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Rihuan Ke , Carola-Bibiane Schönlieb

Most of existing image denoising methods assume the corrupted noise to be additive white Gaussian noise (AWGN). However, the realistic noise in real-world noisy images is much more complex than AWGN, and is hard to be modelled by simple…

Computer Vision and Pattern Recognition · Computer Science 2018-07-13 Jun Xu , Lei Zhang , David Zhang