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We apply basic statistical reasoning to signal reconstruction by machine learning -- learning to map corrupted observations to clean signals -- with a simple and powerful conclusion: it is possible to learn to restore images by only looking…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Jaakko Lehtinen , Jacob Munkberg , Jon Hasselgren , Samuli Laine , Tero Karras , Miika Aittala , Timo Aila

A novel method for noise reduction in the setting of curve time series with error contamination is proposed, based on extending the framework of functional principal component analysis (FPCA). We employ the underlying, finite-dimensional…

Methodology · Statistics 2023-07-06 Cees Diks , Bram Wouters

Minimizing the Mean Squared Error (MSE) is a key objective in machine learning and is commonly used for imputing missing values. While this approach provides accurate point estimates, it introduces systematic biases in downstream analyses.…

Machine Learning · Statistics 2026-05-06 Stef van Buuren

In this brief paper, we present a simple approach to estimate the variance of measurement noise with time-varying 1-D signals. The proposed approach exploits the relationship between the noise variance and the variance of the prediction…

Signal Processing · Electrical Eng. & Systems 2021-04-09 Qin Li , Junchan Zhao

Hyperspectral image (HSI) denoising has been attracting much research attention in remote sensing area due to its importance in improving the HSI qualities. The existing HSI denoising methods mainly focus on specific spectral and spatial…

Computer Vision and Pattern Recognition · Computer Science 2017-02-02 Yang Chen , Xiangyong Cao , Qian Zhao , Deyu Meng , Zongben Xu

Micro-Doppler analysis has become increasingly popular in recent years owning to the ability of the technique to enhance classification strategies. Applications include recognising everyday human activities, distinguishing drone from birds,…

Signal Processing · Electrical Eng. & Systems 2021-02-16 Chong Tang , Wenda Li , Shelly Vishwakarma , Karl Woodbridge , Simon Julier , Kevin Chetty

Total variation (TV) denoising is a nonparametric smoothing method that has good properties for preserving sharp edges and contours in objects with spatial structures like natural images. The estimate is sparse in the sense that TV…

Methodology · Statistics 2016-05-06 Sylvain Sardy , Hatef Monajemi

It is widely known in the machine learning community that class noise can be (and often is) detrimental to inducing a model of the data. Many current approaches use a single, often biased, measurement to determine if an instance is noisy. A…

Machine Learning · Statistics 2014-03-11 Michael R. Smith , Tony Martinez

The field of image denoising is currently dominated by discriminative deep learning methods that are trained on pairs of noisy input and clean target images. Recently it has been shown that such methods can also be trained without clean…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Alexander Krull , Tim-Oliver Buchholz , Florian Jug

Noise is always presents in digital images during image acquisition, coding, transmission, and processing steps. Noise is very difficult to remove it from the digital images without the prior knowledge of noise model. That is why, review of…

Computer Vision and Pattern Recognition · Computer Science 2015-05-14 Ajay Kumar Boyat , Brijendra Kumar Joshi

The main scope of this paper is to show how tools from quantum mechanics, in particular the Schroedinger equation, can be used to construct an adaptive transform suitable for signal and image processing applications. The proposed dictionary…

Signal Processing · Electrical Eng. & Systems 2019-11-26 Raphaël Smith , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

Automated respiratory sound classification faces practical challenges from background noise and insufficient denoising in existing systems. We propose Adaptive Differential Denoising network, that integrates noise suppression and…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-04 Gaoyang Dong , Zhicheng Zhang , Ping Sun , Minghui Zhang

Lacking realistic ground truth data, image denoising techniques are traditionally evaluated on images corrupted by synthesized i.i.d. Gaussian noise. We aim to obviate this unrealistic setting by developing a methodology for benchmarking…

Computer Vision and Pattern Recognition · Computer Science 2017-07-06 Tobias Plötz , Stefan Roth

Modern navigation solutions are largely dependent on the performances of the standalone inertial sensors, especially at times when no external sources are available. During these outages, the inertial navigation solution is likely to…

Signal Processing · Electrical Eng. & Systems 2025-11-20 Daniel Engelsman , Itzik Klein

The present paper provides a comprehensive study of de-noising properties of frames and, in particular, tight frames, which constitute one of the most popular tools in contemporary signal processing. The objective of the paper is to bridge…

Methodology · Statistics 2013-01-18 Daniela De Canditiis , Marianna Pensky , Patrick J. Wolfe

In this paper, we propose a new multimodal image denoising approach to attenuate white Gaussian additive noise in a given image modality under the aid of a guidance image modality. The proposed coupled image denoising approach consists of…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Pingfan Song , Miguel R. D. Rodrigues

Recovering a signal from its Fourier intensity underlies many important applications, including lensless imaging and imaging through scattering media. Conventional algorithms for retrieving the phase suffer when noise is present but display…

Image and Video Processing · Electrical Eng. & Systems 2020-03-05 Yaotian Wang , Xiaohang Sun , Jason W. Fleischer

Motivated by recent work on atomic norms in inverse problems, we propose a new approach to line spectral estimation that provides theoretical guarantees for the mean-squared-error (MSE) performance in the presence of noise and without…

Information Theory · Computer Science 2013-02-19 Badri Narayan Bhaskar , Gongguo Tang , Benjamin Recht

Image noise is ubiquitous in photography. However, image noise is not compressible nor desirable, thus attempting to convey the noise in compressed image bitstreams yields sub-par results in both rate and distortion. We propose to…

Image and Video Processing · Electrical Eng. & Systems 2023-07-13 Benoit Brummer , Christophe De Vleeschouwer

This paper tackles the problem of the heavy dependence of clean speech data required by deep learning based audio-denoising methods by showing that it is possible to train deep speech denoising networks using only noisy speech samples.…

Sound · Computer Science 2021-09-21 Madhav Mahesh Kashyap , Anuj Tambwekar , Krishnamoorthy Manohara , S Natarajan
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