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In this paper, we aim at learning simultaneously a discriminative dictionary and a robust projection matrix from noisy data. The joint learning, makes the learned projection and dictionary a better fit for each other, so a more accurate…

Computer Vision and Pattern Recognition · Computer Science 2016-12-07 Homa Foroughi , Nilanjan Ray , Hong Zhang

Tensors in the form of multilinear arrays are ubiquitous in data science applications. Captured real-world data, including video, hyperspectral images, and discretized physical systems, naturally occur as tensors and often come with…

Machine Learning · Computer Science 2023-03-13 Jonathan Gryak , Kayvan Najarian , Harm Derksen

In this paper a new dictionary learning algorithm for multidimensional data is proposed. Unlike most conventional dictionary learning methods which are derived for dealing with vectors or matrices, our algorithm, named KTSVD, learns a…

Machine Learning · Computer Science 2016-01-01 Zemin Zhang , Shuchin Aeron

Single image denoising (SID) has achieved significant breakthroughs with the development of deep learning. However, the proposed methods are often accompanied by plenty of parameters, which greatly limits their application scenarios.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-02 Juncheng Li , Hanhui Yang , Qiaosi Yi , Faming Fang , Guangwei Gao , Tieyong Zeng , Guixu Zhang

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

Dictionary Learning (DL) is one of the leading sparsity promoting techniques in the context of image classification, where the "dictionary" matrix D of images and the sparse matrix X are determined so as to represent a redundant image…

Numerical Analysis · Mathematics 2022-03-10 Domitilla Brandoni , Margherita Porcelli , Valeria Simoncini

The sparse dictionary coding framework represents signals as a linear combination of a few predefined dictionary atoms. It has been employed for images, time series, graph signals and recently for 2-way (or 2D) spatio-temporal data…

Machine Learning · Computer Science 2024-06-12 Boya Ma , Maxwell McNeil , Abram Magner , Petko Bogdanov

Low-rank Multi-view Subspace Learning (LMvSL) has shown great potential in cross-view classification in recent years. Despite their empirical success, existing LMvSL based methods are incapable of well handling view discrepancy and…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Jiamiao Xu , Fangzhao Wang , Qinmu Peng , Xinge You , Shuo Wang , Xiao-Yuan Jing , C. L. Philip Chen

In image denoising (IDN) processing, the low-rank property is usually considered as an important image prior. As a convex relaxation approximation of low rank, nuclear norm based algorithms and their variants have attracted significant…

Image and Video Processing · Electrical Eng. & Systems 2020-04-03 Yanwei Zhao , Ping Yang , Qiu Guan , Jianwei Zheng , Wanliang Wang

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

The recovery of the underlying low-rank structure of clean data corrupted with sparse noise/outliers is attracting increasing interest. However, in many low-level vision problems, the exact target rank of the underlying structure and the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Anyong Qin , Lina Xian , Yongliang Yang , Taiping Zhang , Yuan Yan Tang

Remotely sensed images may contain some missing areas because of poor weather conditions and sensor failure. Information of those areas may play an important role in the interpretation of multitemporal remotely sensed data. The paper aims…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Teng-Yu Ji , Naoto Yokoya , Xiao Xiang Zhu , Ting-Zhu Huang

We propose denoising dictionary learning (DDL), a simple yet effective technique as a protection measure against adversarial perturbations. We examined denoising dictionary learning on MNIST and CIFAR10 perturbed under two different…

Machine Learning · Statistics 2018-01-09 John Mitro , Derek Bridge , Steven Prestwich

This paper proposes a novel pixel-level distribution regularization scheme (DRSL) for self-supervised domain adaptation of semantic segmentation. In a typical setting, the classification loss forces the semantic segmentation model to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Javed Iqbal , Hamza Rawal , Rehan Hafiz , Yu-Tseh Chi , Mohsen Ali

Robust low-rank matrix estimation is a topic of increasing interest, with promising applications in a variety of fields, from computer vision to data mining and recommender systems. Recent theoretical results establish the ability of such…

Information Theory · Computer Science 2011-09-29 Ignacio Ramírez , Guillermo Sapiro

Face recognition has been widely studied due to its importance in smart cities applications. However, the case when both training and test images are corrupted is not well solved. To address such a problem, this paper proposes a locality…

Computer Vision and Pattern Recognition · Computer Science 2019-12-09 He-Feng Yin , Xiao-Jun Wu , Josef Kittler

Low-dose computed tomography (LDCT) is critical for minimizing radiation exposure, but it often leads to increased noise and reduced image quality. Traditional denoising methods, such as iterative optimization or supervised learning, often…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Debopom Sutradhar , Ripon Kumar Debnath , Mohaimenul Azam Khan Raiaan , Yan Zhang , Reem E. Mohamed , Sami Azam

Integrating a low-spatial-resolution hyperspectral image (LR-HSI) with a high-spatial-resolution multispectral image (HR-MSI) is recognized as a valid method for acquiring HR-HSI. Among the current fusion approaches, the tensor ring (TR)…

Image and Video Processing · Electrical Eng. & Systems 2023-10-17 Jun Zhang , Lipeng Zhu , Chao Wang , Shutao Li

Sparse plus Low-Rank $(\mathbf{S} + \mathbf{LR})$ decomposition of Large Language Models (LLMs) has emerged as a promising direction in model compression, aiming to decompose pre-trained model weights into a sum of sparse and low-rank…

Machine Learning · Computer Science 2026-03-03 Mehdi Makni , Xiang Meng , Rahul Mazumder

Recently, low-rank matrix recovery theory has been emerging as a significant progress for various image processing problems. Meanwhile, the group sparse coding (GSC) theory has led to great successes in image restoration (IR) problem with…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Yunyi Li , Guan Gui , Xiefeng Cheng