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Image denoising based on a probabilistic model of local image patches has been employed by various researchers, and recently a deep (denoising) autoencoder has been proposed by Burger et al. [2012] and Xie et al. [2012] as a good model for…

Machine Learning · Statistics 2013-03-05 Kyunghyun Cho

Deep neural networks are vulnerable against adversarial examples. In this paper, we propose to train and test the networks with randomly subsampled images with high drop rates. We show that this approach significantly improves robustness…

Machine Learning · Computer Science 2019-05-02 Hossein Hosseini , Sreeram Kannan , Radha Poovendran

Self-supervised frameworks that learn denoising models with merely individual noisy images have shown strong capability and promising performance in various image denoising tasks. Existing self-supervised denoising frameworks are mostly…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Yaochen Xie , Zhengyang Wang , Shuiwang Ji

Small lesions in magnetic resonance imaging (MRI) images are crucial for clinical diagnosis of many kinds of diseases. However, the MRI quality can be easily degraded by various noise, which can greatly affect the accuracy of diagnosis of…

Image and Video Processing · Electrical Eng. & Systems 2022-09-29 Haibo Yang , Shengjie Zhang , Xiaoyang Han , Botao Zhao , Yan Ren , Yaru Sheng , Xiao-Yong Zhang

The mean squared error loss is widely used in many applications, including auto-encoders, multi-target regression, and matrix factorization, to name a few. Despite computational advantages due to its differentiability, it is not robust to…

Machine Learning · Computer Science 2021-07-01 Armin Moharrer , Khashayar Kamran , Edmund Yeh , Stratis Ioannidis

We consider the task of robust non-linear regression in the presence of both inlier noise and outliers. Assuming that the unknown non-linear function belongs to a Reproducing Kernel Hilbert Space (RKHS), our goal is to estimate the set of…

Machine Learning · Computer Science 2017-08-02 George Papageorgiou , Pantelis Bouboulis , Sergios Theodoridis

Inspired by group-based sparse coding, recently proposed group sparsity residual (GSR) scheme has demonstrated superior performance in image processing. However, one challenge in GSR is to estimate the residual by using a proper reference…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Zhiyuan Zha , Xinggan Zhang , Qiong Wang , Yechao Bai , Lan Tang , Xin Yuan

In this letter, we investigate the shrinkage problem for the non-local means (NLM) image denoising. In particular, we derive the closed-form of the optimal blockwise shrinkage for NLM that minimizes the Stein's unbiased risk estimator…

Computer Vision and Pattern Recognition · Computer Science 2015-05-05 Yue Wu , Brian Tracey , Premkumar Natarajan , Joseph P. Noonan

Recent advances in Diffusion Models (DMs) have led to significant progress in visual synthesis and editing tasks, establishing them as a strong competitor to Generative Adversarial Networks (GANs). However, the latent space of DMs is not as…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Theodoros Kouzelis , Manos Plitsis , Mihalis A. Nicolaou , Yannis Panagakis

Diffusion MRI affords valuable insights into white matter microstructures, but suffers from low signal-to-noise ratio (SNR), especially at high diffusion weighting (i.e., b-value). To avoid time-intensive repeated acquisition,…

Medical Physics · Physics 2018-07-26 Geng Chen , Yafeng Wu , Dinggang Shen , Pew-Thian Yap

Image denoising algorithms have been extensively investigated for medical imaging. To perform image denoising, penalized least-squares (PLS) problems can be designed and solved, in which the penalty term encodes prior knowledge of the…

Image and Video Processing · Electrical Eng. & Systems 2025-02-03 Wentao Chen , Tianming Xu , Weimin Zhou

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

This paper develops a general asymptotic theory of local polynomial (LP) regression for spatial data observed at irregularly spaced locations in a sampling region $R_n \subset \mathbb{R}^d$. We adopt a stochastic sampling design that can…

Statistics Theory · Mathematics 2023-12-27 Daisuke Kurisu , Yasumasa Matsuda

Significant progress has been made in self-supervised image denoising (SSID) in the recent few years. However, most methods focus on dealing with spatially independent noise, and they have little practicality on real-world sRGB images with…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Junyi Li , Zhilu Zhang , Xiaoyu Liu , Chaoyu Feng , Xiaotao Wang , Lei Lei , Wangmeng Zuo

Convolutional neural network (CNN)-based image denoising methods have been widely studied recently, because of their high-speed processing capability and good visual quality. However, most of the existing CNN-based denoisers learn the image…

Image and Video Processing · Electrical Eng. & Systems 2020-06-30 Rui Zhao , Kin-Man Lam , Daniel P. K. Lun

We present a novel approach to image restoration that leverages ideas from localized structured prediction and non-linear multi-task learning. We optimize a penalized energy function regularized by a sum of terms measuring the distance…

Machine Learning · Computer Science 2020-06-17 Thomas Eboli , Alex Nowak-Vila , Jian Sun , Francis Bach , Jean Ponce , Alessandro Rudi

Given a set of overlapping local views (patches) of a dataset, we consider the problem of finding a rigid alignment of the views that minimizes a $2$-norm based alignment error. In general, the views are noisy and a perfect alignment may…

Numerical Analysis · Mathematics 2026-03-19 Dhruv Kohli , Gal Mishne , Alexander Cloninger

We propose an effective denoising diffusion model for generating high-resolution images (e.g., 1024$\times$512), trained on small-size image patches (e.g., 64$\times$64). We name our algorithm Patch-DM, in which a new feature collage…

Computer Vision and Pattern Recognition · Computer Science 2023-08-03 Zheng Ding , Mengqi Zhang , Jiajun Wu , Zhuowen Tu

In machine learning approach to image denoising a network is trained to recover a clean image from a noisy one. In this paper a novel structure is proposed based on training multiple specialized networks as opposed to existing structures…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Seyed Mohsen Hosseini

Image denoising is a fundamental problem in computer vision and medical imaging. However, real-world images are often degraded by structured noise with strong anisotropic correlations that existing methods struggle to remove. Most…

Image and Video Processing · Electrical Eng. & Systems 2025-10-03 Jianxu Wang , Ge Wang