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In this paper we study the sparse coding problem in the context of sparse dictionary learning for image recovery. To this end, we consider and compare several state-of-the-art sparse optimization methods constructed using the shrinkage…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Shima Shabani , Mohammadsadegh Khoshghiaferezaee , Michael Breuß

Image denoising is a representative image restoration task in computer vision. Recent progress of image denoising from only noisy images has attracted much attention. Deep image prior (DIP) demonstrated successful image denoising from only…

Image and Video Processing · Electrical Eng. & Systems 2023-10-03 Tsukasa Takagi , Shinya Ishizaki , Shin-ichi Maeda

Sparse representation of images under certain transform domain has been playing a fundamental role in image restoration tasks. One such representative method is the widely used wavelet tight frame systems. Instead of adopting fixed filters…

Computer Vision and Pattern Recognition · Computer Science 2016-03-02 Dai-Qiang Chen

Delay-and-Sum (DAS) is the most common algorithm used in photoacoustic (PA) image formation. However, this algorithm results in a reconstructed image with a wide mainlobe and high level of sidelobes. Minimum variance (MV), as an adaptive…

Signal Processing · Electrical Eng. & Systems 2018-05-11 Roya Paridar , Moein Mozaffarzadeh , Mohammad Mehrmohammadi , Mahdi Orooji

We consider the data-driven dictionary learning problem. The goal is to seek an over-complete dictionary from which every training signal can be best approximated by a linear combination of only a few codewords. This task is often achieved…

Machine Learning · Computer Science 2019-07-24 Wei Dai , Tao Xu , Wenwu Wang

Dynamic convolution achieves better performance for efficient CNNs at the cost of negligible FLOPs increase. However, the performance increase can not match the significantly expanded number of parameters, which is the main bottleneck in…

Computer Vision and Pattern Recognition · Computer Science 2023-05-29 Shwai He , Chenbo Jiang , Daize Dong , Liang Ding

As enjoying the closed form solution, least squares support vector machine (LSSVM) has been widely used for classification and regression problems having the comparable performance with other types of SVMs. However, LSSVM has two drawbacks:…

Machine Learning · Computer Science 2017-02-08 Li Chen , Shuisheng Zhou

To facilitate video denoising research, we construct a compelling dataset, namely, "Practical Video Denoising Dataset" (PVDD), containing 200 noisy-clean dynamic video pairs in both sRGB and RAW format. Compared with existing datasets…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Xiaogang Xu , Yitong Yu , Nianjuan Jiang , Jiangbo Lu , Bei Yu , Jiaya Jia

Although the advances of self-supervised blind denoising are significantly superior to conventional approaches without clean supervision in synthetic noise scenarios, it shows poor quality in real-world images due to spatially correlated…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 Kanggeun Lee , Kyungryun Lee , Won-Ki Jeong

It is generally perceived that Dynamic Sparse Training opens the door to a new era of scalability and efficiency for artificial neural networks at, perhaps, some costs in accuracy performance for the classification task. At the same time,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Boqian Wu , Qiao Xiao , Shunxin Wang , Nicola Strisciuglio , Mykola Pechenizkiy , Maurice van Keulen , Decebal Constantin Mocanu , Elena Mocanu

We propose robust methods to identify underlying Partial Differential Equation (PDE) from a given set of noisy time dependent data. We assume that the governing equation is a linear combination of a few linear and nonlinear differential…

Numerical Analysis · Mathematics 2023-03-03 Yuchen He , Sung Ha Kang , Wenjing Liao , Hao Liu , Yingjie Liu

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

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

We describe a novel method for training high-quality image denoising models based on unorganized collections of corrupted images. The training does not need access to clean reference images, or explicit pairs of corrupted images, and can…

Machine Learning · Computer Science 2019-10-29 Samuli Laine , Tero Karras , Jaakko Lehtinen , Timo Aila

Deep neural networks (DNNs) have shown very promising results for various image restoration (IR) tasks. However, the design of network architectures remains a major challenging for achieving further improvements. While most existing…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Weisheng Dong , Peiyao Wang , Wotao Yin , Guangming Shi , Fangfang Wu , Xiaotong Lu

With the growing popularity of smartphones, capturing high-quality images is of vital importance to smartphones. The cameras of smartphones have small apertures and small sensor cells, which lead to the noisy images in low light…

Image and Video Processing · Electrical Eng. & Systems 2022-08-15 Dasong Li , Yi Zhang , Ka Lung Law , Xiaogang Wang , Hongwei Qin , Hongsheng Li

In this paper we present an active-set method for the solution of $\ell_1$-regularized convex quadratic optimization problems. It is derived by combining a proximal method of multipliers (PMM) strategy with a standard semismooth Newton…

Optimization and Control · Mathematics 2023-03-01 Spyridon Pougkakiotis , Jacek Gondzio , Dionysios S. Kalogerias

Motivated by the task of clustering either $d$ variables or $d$ points into $K$ groups, we investigate efficient algorithms to solve the Peng-Wei (P-W) $K$-means semi-definite programming (SDP) relaxation. The P-W SDP has been shown in the…

Machine Learning · Statistics 2018-10-23 Carson Eisenach , Han Liu

Most existing image denoising approaches assumed the noise to be homogeneous white Gaussian distributed with known intensity. However, in real noisy images, the noise models are usually unknown beforehand and can be much more complex. This…

Computer Vision and Pattern Recognition · Computer Science 2016-01-14 Fengyuan Zhu , Guangyong Chen , Jianye Hao , Pheng-Ann Heng

Although cluttered indoor scenes have a lot of useful high-level semantic information which can be used for mapping and localization, most Visual Odometry (VO) algorithms rely on the usage of geometric features such as points, lines and…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Huai-Jen Liang , Nitin J. Sanket , Cornelia Fermüller , Yiannis Aloimonos