Weighted Nuclear Norm Minimization with Application to Image Denoising

Keywords

Matrix norm, Singular value, Weighting, Singular value decomposition, Minification

References

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• Nonlocal Image Restoration With Bilateral Variance Estimation: A Low-Rank ApproachWeisheng Dong, Guangming Shi, Xin Li — 2013
• Natural image denoising: Optimality and inherent boundsAnat Levin, Boaz Nadler — 2011
• Matrix Completion With NoiseEmmanuel J. Candès, Yaniv Plan — 2009
• Image Denoising by Sparse 3-D Transform-Domain Collaborative FilteringKostadin Dabov, Alessandro Foi, Vladimir Katkovnik — 2007
• Practical low-rank matrix approximation under robust L1-normYinqiang Zheng, Guangcan Liu, Shigeki Sugimoto — 2012
• A non-local algorithm for image denoisingAntoni Buades, B. Coll, Jean‐Michel Morel — 2005
• Linearized Alternating Direction Method with Adaptive Penalty for Low-Rank RepresentationZhouchen Lin, Risheng Liu, Zhixun Su — 2011
• Robust L/sub 1/ norm factorization in the presence of outliers and missing data by alternative convex programmingQifa Ke, Takeo Kanade — 2005
• A Singular Value Thresholding Algorithm for Matrix CompletionJian‐Feng Cai, Emmanuel J. Candès, Zuowei Shen — 2008
• Robust video denoising using low rank matrix completionHui Ji, Chaoqiang Liu, Zuowei Shen — 2010
• The phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoisingDavid L. Donoho, Matan Gavish, Andrea Montanari — 2013
• Efficient computation of robust low-rank matrix approximations in the presence of missing data using the L1 normAnders Eriksson, Anton van den Hengel — 2010
• Exact Matrix Completion via Convex OptimizationEmmanuel J. Candès, Benjamin Recht — 2008
• Damped Newton algorithms for matrix factorization with missing dataAeron Morgan Buchanan, Andrew Fitzgibbon — 2005

Cited by

• Bayesian Inference for Neighborhood Filters With Application in DenoisingPablo Pérez Ahumada, Miguel Pérez Ahumada — 2015
• CONCOLOR: Constrained Non-Convex Low-Rank Model for Image DeblockingManuel Merchán Díaz — 2016
• Optshrink LR + S: accelerated fMRI reconstruction using non-convex optimal singular value shrinkageAmy Yamashiro, John McLaughlin — 2017
• Learnability Enhancement for Low-Light Raw Image Denoising: A Data Perspective雅彦 内海 — 2023
• Nonlocal image denoising via adaptive tensor nuclear norm minimizationChenyang Zhang, Wenrui Hu, Tianyu Jin — 2015
• Image Denoising Using Low Rank Minimization With Modified Noise EstimationZahid Hussain Shamsi, Hyun Sook Oh, Dai-Gyoung Kim — 2015
• On the Optimal Solution of Weighted Nuclear Norm MinimizationQi Xie, Deyu Meng, Shuhang Gu — 2014
• Weighted Nuclear Norm Minimization Based Tongue Specular Reflection RemovalZhenchao Cui, Dongyu Zhang, Kuanquan Wang — 2015
• Image denoising based on improved data-driven sparse representationDai-Qiang Chen — 2015
• Weighted Schatten p-Norm Minimization for Image Denoising with Local and Nonlocal RegularizationYuan Xie — 2015
• Generalized Tensor Total Variation minimization for visual data recovery?Xiaojie Guo, Yi Ma — 2015
• Trainable Nonlinear Reaction Diffusion: A Flexible Framework for Fast and Effective Image RestorationYunjin Chen, Thomas Pock — 2015
• On learning optimized reaction diffusion processes for effective image restorationYunjin Chen, Wei Yu, Thomas Pock — 2015
• Image denoising via adaptive soft-thresholding based on non-local samplesHangfan Liu, Ruiqin Xiong, Jian Zhang — 2015
• Sparse error via reweighted Low Rank Representation for face recognition with various illumination and occlusionGuoliang Yang, Yiqin Feng, Hairong Lu — 2015
• Patch-Based Low-Rank Minimization for Image DenoisingHaijuan Hu, Jacques Froment, Quansheng Liu — 2015
• Fast randomized Singular Value Thresholding for Nuclear Norm MinimizationTae-Hyun Oh, Yasuyuki Matsushita, Yu‐Wing Tai — 2015
• Compressive Sensing via Nonlocal Low-Rank RegularizationWeisheng Dong, Guangming Shi, Xin Li — 2014
• Image denoising via local and nonlocal circulant similarityFei Chen, Xunxun Zeng, Meiqing Wang — 2015
• Low-Rank Modeling and Its Applications in Image AnalysisXiaowei Zhou, Can Yang, Hongyu Zhao — 2014

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