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We present a method for training a neural network to perform image denoising without access to clean training examples or access to paired noisy training examples. Our method requires only a single noisy realization of each training example…

Image and Video Processing · Electrical Eng. & Systems 2019-10-29 Nick Moran , Dan Schmidt , Yu Zhong , Patrick Coady

We address the problem of image denoising in additive white noise without placing restrictive assumptions on its statistical distribution. In the recent literature, specific noise distributions have been considered and correspondingly,…

Computer Vision and Pattern Recognition · Computer Science 2015-01-28 Sagar Venkatesh Gubbi , Chandra Sekhar Seelamantula

This paper revisits two prominent adaptive filtering algorithms, namely recursive least squares (RLS) and equivariant adaptive source separation (EASI), through the lens of algorithm unrolling. Building upon the unrolling methodology, we…

Signal Processing · Electrical Eng. & Systems 2023-11-17 Zahra Esmaeilbeig , Mojtaba Soltanalian

Given a collection of observed signals corrupted with Gaussian noise, how can we learn to optimally denoise them? This fundamental problem arises in both empirical Bayes and generative modeling. In empirical Bayes, the predominant approach…

Statistics Theory · Mathematics 2025-09-25 Sulagna Ghosh , Nikolaos Ignatiadis , Frederic Koehler , Amber Lee

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

Deep neural networks have been very successful in image estimation applications such as compressive-sensing and image restoration, as a means to estimate images from partial, blurry, or otherwise degraded measurements. These networks are…

Computer Vision and Pattern Recognition · Computer Science 2019-10-30 Zhihao Xia , Ayan Chakrabarti

In this paper, we revisit techniques for uncertainty estimation within deep neural networks and consolidate a suite of techniques to enhance their reliability. Our investigation reveals that an integrated application of diverse…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Yuting Li , Yingyi Chen , Xuanlong Yu , Dexiong Chen , Xi Shen

Imaging is a standard example of an inverse problem, where the task of reconstructing a ground truth from a noisy measurement is ill-posed. Recent state-of-the-art approaches for imaging use deep learning, spearheaded by unrolled and…

Deep networks provide state-of-the-art performance in multiple imaging inverse problems ranging from medical imaging to computational photography. However, most existing networks are trained with clean signals which are often hard or…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Dongdong Chen , Julián Tachella , Mike E. Davies

Stein's unbiased risk estimate (SURE) was proposed by Stein for the independent, identically distributed (iid) Gaussian model in order to derive estimates that dominate least-squares (LS). In recent years, the SURE criterion has been…

Methodology · Statistics 2009-11-13 Yonina C. Eldar

Recovering a high-quality image from noisy indirect measurements is an important problem with many applications. For such inverse problems, supervised deep convolutional neural network (CNN)-based denoising methods have shown strong…

Image and Video Processing · Electrical Eng. & Systems 2020-09-16 Allard A. Hendriksen , Daniel M. Pelt , K. Joost Batenburg

We present a new framework of applying deep neural networks (DNN) to devise a universal discrete denoiser. Unlike other approaches that utilize supervised learning for denoising, we do not require any additional training data. In such…

Machine Learning · Computer Science 2016-08-25 Taesup Moon , Seonwoo Min , Byunghan Lee , Sungroh Yoon

Learning-based denoising algorithms achieve state-of-the-art performance across various denoising tasks. However, training such models relies on access to large training datasets consisting of clean and noisy image pairs. On the other hand,…

Image and Video Processing · Electrical Eng. & Systems 2025-03-31 Ali Zafari , Xi Chen , Shirin Jalali

Deep neural networks have been proved efficient for medical image denoising. Current training methods require both noisy and clean images. However, clean images cannot be acquired for many practical medical applications due to naturally…

Image and Video Processing · Electrical Eng. & Systems 2019-06-11 Dufan Wu , Kuang Gong , Kyungsang Kim , Quanzheng Li

Image restoration has been an extensively researched topic in numerous fields. With the advent of deep learning, a lot of the current algorithms were replaced by algorithms that are more flexible and robust. Deep networks have demonstrated…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Rohit Jena

In this paper, we are interested in the classical problem of restoring data degraded by a convolution and the addition of a white Gaussian noise. The originality of the proposed approach is two-fold. Firstly, we formulate the restoration…

Methodology · Statistics 2015-05-13 Jean-Christophe Pesquet , Amel Benazza-Benyahia , Caroline Chaux

Image super-resolution and denoising are two important tasks in image processing that can lead to improvement in image quality. Image super-resolution is the task of mapping a low resolution image to a high resolution image whereas…

Computer Vision and Pattern Recognition · Computer Science 2018-09-24 Rohit Pardasani , Utkarsh Shreemali

Self-supervised learning for image denoising problems in the presence of denaturation for noisy data is a crucial approach in machine learning. However, theoretical understanding of the performance of the approach that uses denatured data…

Machine Learning · Statistics 2024-12-17 Hiroki Waida , Kimihiro Yamazaki , Atsushi Tokuhisa , Mutsuyo Wada , Yuichiro Wada

Assume you encounter an inverse problem that shall be solved for a large number of data, but no ground-truth data is available. To emulate this encounter, in this study, we assume it is unknown how to solve the imaging problem of Computed…

Hyperspectral image (HSI) denoising is a crucial preprocessing procedure to improve the performance of the subsequent HSI interpretation and applications. In this paper, a novel deep learning-based method for this task is proposed, by…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Qiangqiang Yuan , Qiang Zhang , Jie Li , Huanfeng Shen , Liangpei Zhang