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Image denoising is a well-known and well studied problem, commonly targeting a minimization of the mean squared error (MSE) between the outcome and the original image. Unfortunately, especially for severe noise levels, such Minimum MSE…

Image and Video Processing · Electrical Eng. & Systems 2021-09-01 Bahjat Kawar , Gregory Vaksman , Michael Elad

The details of an image with noise may be restored by removing noise through a suitable image de-noising method. In this research, a new method of image de-noising based on using median filter (MF) in the wavelet domain is proposed and…

Multimedia · Computer Science 2017-03-21 Afrah Ramadhan , Firas Mahmood , Atilla Elci

Seismic data denoising is an important part of seismic data processing, which directly relate to the follow-up processing of seismic data. In terms of this issue, many authors proposed many methods based on rank reduction, sparse…

Geophysics · Physics 2024-08-27 Xueting Yang , Yong Li , Zhangquan Liao , Yingtian Liu , Junheng Peng

Denoising is the essential step for distant supervision based named entity recognition. Previous denoising methods are mostly based on instance-level confidence statistics, which ignore the variety of the underlying noise distribution on…

Computation and Language · Computer Science 2021-06-18 Wenkai Zhang , Hongyu Lin , Xianpei Han , Le Sun , Huidan Liu , Zhicheng Wei , Nicholas Jing Yuan

Both wavelet denoising and denosing methods using the concept of sparsity are based on soft-thresholding. In sparsity based denoising methods, it is assumed that the original signal is sparse in some transform domains such as the wavelet…

Optimization and Control · Mathematics 2014-06-11 A. Enis Cetin , Mohammad Tofighi

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

The prevalent convolutional neural network (CNN) based image denoising methods extract features of images to restore the clean ground truth, achieving high denoising accuracy. However, these methods may ignore the underlying distribution of…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Yang Liu , Saeed Anwar , Zhenyue Qin , Pan Ji , Sabrina Caldwell , Tom Gedeon

The measurements of very low level signals at low frequency is a very difficult problem, because environmental noise increases in this frequency domain and it is very difficult to filter it efficiently. In order to counteract these major…

Instrumentation and Detectors · Physics 2007-05-23 F. Douarche , L. Buisson , S. Ciliberto , A. Petrosyan

A flexible discriminative image denoiser is introduced in which multi-task learning methods are applied to a densoising FCN based on U-Net. The activations of the U-Net model are modified by affine transforms that are a learned function of…

Image and Video Processing · Electrical Eng. & Systems 2020-11-26 Anthony Kelly

Decomposition of digital signals and images into other basis or dictionaries than time or space domains is a very common approach in signal and image processing and analysis. Such a decomposition is commonly obtained using fixed transforms…

Signal Processing · Electrical Eng. & Systems 2021-05-04 Sayantan Dutta , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

Removal or cancellation of noise has wide-spread applications for imaging and acoustics. In every-day-life applications, denoising may even include generative aspects, which are unfaithful to the ground truth. For scientific use, however,…

Deep Belief Networks which are hierarchical generative models are effective tools for feature representation and extraction. Furthermore, DBNs can be used in numerous aspects of Machine Learning such as image denoising. In this paper, we…

Machine Learning · Computer Science 2014-01-03 Mohammad Ali Keyvanrad , Mohammad Pezeshki , Mohammad Ali Homayounpour

Histograms are among the most popular methods used in exploratory analysis to summarize univariate distributions. In particular, irregular histograms are good non-parametric density estimators that require very few parameters: the number of…

Machine Learning · Computer Science 2023-06-12 Marc Boullé

This paper considers the deconvolution problem in the case where the target signal is multidimensional and no information is known about the noise distribution. More precisely, no assumption is made on the noise distribution and no samples…

Statistics Theory · Mathematics 2021-02-18 Elisabeth Gassiat , Sylvain Le Corff , Luc Lehéricy

Denoising, the process of reducing random fluctuations in a signal to emphasize essential patterns, has been a fundamental problem of interest since the dawn of modern scientific inquiry. Recent denoising techniques, particularly in…

Machine Learning · Computer Science 2024-12-04 Peyman Milanfar , Mauricio Delbracio

In this paper a signal denoising scheme based on Empirical mode decomposition (EMD) is presented. The denoising method is a fully data driven approach. Noisy signal is decomposed adaptively into intrinsic oscillatory components called…

Information Theory · Computer Science 2014-06-02 Mina Kemiha

Denoising diffusion models have become ubiquitous for generative modeling. The core idea is to transport the data distribution to a Gaussian by using a diffusion. Approximate samples from the data distribution are then obtained by…

In the signal processing and statistics literature, the minimum description length (MDL) principle is a popular tool for choosing model complexity. Successful examples include signal denoising and variable selection in linear regression,…

Signal Processing · Electrical Eng. & Systems 2022-01-28 Zhenyu Wei , Raymond K. W. Wong , Thomas C. M. Lee

The power of sparse signal coding with learned dictionaries has been demonstrated in a variety of applications and fields, from signal processing to statistical inference and machine learning. However, the statistical properties of these…

Information Theory · Computer Science 2010-10-25 Ignacio Ramírez , Guillermo Sapiro

Score-based model research in the last few years has produced state of the art generative models by employing Gaussian denoising score-matching (DSM). However, the Gaussian noise assumption has several high-dimensional limitations,…

Machine Learning · Computer Science 2022-04-13 Jacob Deasy , Nikola Simidjievski , Pietro Liò