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Under certain statistical assumptions of noise, recent self-supervised approaches for denoising have been introduced to learn network parameters without true clean images, and these methods can restore an image by exploiting information…

Computer Vision and Pattern Recognition · Computer Science 2020-01-10 Seunghwan Lee , Donghyeon Cho , Jiwon Kim , Tae Hyun Kim

This paper has been withdrawn by the authors. due fail of replacement of the paper. new version is hep-ph/0201214.

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. J. Zhang , B. S. Zou , L. M. Yang

This letter presents a novel hybrid method that leverages deep learning to exploit the multi-resolution analysis capability of the wavelets, in order to denoise a photoplethysmography (PPG) signal. Under the proposed method, a noisy PPG…

Information Theory · Computer Science 2023-01-18 Rabia Ahmed , Ahsan Mehmood , Muhammad Mahboob Ur Rahman , Octavia A. Dobre

Despite the popularity of transformers in practice, their architectures are empirically designed and neither mathematically justified nor interpretable. Moreover, as indicated by many empirical studies, some components of transformer…

Machine Learning · Computer Science 2025-06-05 Peng Wang , Yifu Lu , Yaodong Yu , Druv Pai , Qing Qu , Yi Ma

This review paper is intended to give a useful guide for those who want to apply discrete wavelets in their practice. The notion of wavelets and their use in practical computing and various applications are briefly described, but rigorous…

High Energy Physics - Phenomenology · Physics 2025-10-20 I. M. Dremin , O. V. Ivanov , V. A. Nechitailo

This paper has been withdrawn by the authors due to an error first noted by M. Lukin.

Quantum Physics · Physics 2007-05-23 J. D. Franson , T. B. Pittman , J. P. Dowling

This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019

Data Analysis, Statistics and Probability · Physics 2007-05-23 Armin Bunde , Jan F. Eichner , Rathinaswamy Govindan , Shlomo Havlin , Eva Koscielny-Bunde , Diego Rybski , Dmitry Vjushin

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

The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the admissibility condition. We propose an alternative…

Classical Analysis and ODEs · Mathematics 2014-10-09 Elena A. Lebedeva , Eugene B. Postnikov

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

This paper presents an efficient implementation of the Wavenet generation process called Fast Wavenet. Compared to a naive implementation that has complexity O(2^L) (L denotes the number of layers in the network), our proposed approach…

In this paper, we study how the mean shift algorithm can be used to denoise a dataset. We introduce a new framework to analyze the mean shift algorithm as a denoising approach by viewing the algorithm as an operator on a distribution…

Methodology · Statistics 2016-10-14 Yunhua Xiang , Yen-Chi Chen

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Networking and Internet Architecture · Computer Science 2011-06-28 Ayon Chakraborty , Swarup Kumar Mitra , Mrinal Kanti Naskar

This manuscript has been withdrawn due to less meaning.

High Energy Physics - Phenomenology · Physics 2007-05-23 Yong Zhou

The paper has been withdrawn by the author due to a the manuscript error.

Materials Science · Physics 2009-03-03 Yue Chan

This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial

Geometric Topology · Mathematics 2010-07-28 Louis H. Kauffman , Simon King , Sostenes Lins

This submission has been withdrawn at the request of the author.

Programming Languages · Computer Science 2009-08-25 Raju Renjit. G

Image denoising is a fundamental problem in image processing whose primary objective is to remove the noise while preserving the original image structure. In this work, we proposed a new architecture for image denoising. We have used…

Image and Video Processing · Electrical Eng. & Systems 2019-03-25 Sutanu Bera , Avisek Lahiri , Prabir Kumar Biswas

Noise is an important factor which when get added to an image reduces its quality and appearance. So in order to enhance the image qualities, it has to be removed with preserving the textural information and structural features of image.…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Vivek Kumar , Atul Samadhiya

Some recent methods, like the Empirical Mode Decomposition (EMD), propose to decompose a signal accordingly to its contained information. Even though its adaptability seems useful for many applications, the main issue with this approach is…

Functional Analysis · Mathematics 2024-11-01 Jerome Gilles