On the Minimal Overcompleteness Allowing Universal Sparse Representation

Rotem Mulayoff; Tomer Michaeli

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On the Minimal Overcompleteness Allowing Universal Sparse Representation

机译：关于允许普遍稀疏表示的最小超完备性

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摘要

Sparse representation over redundant dictionaries constitute a good model for many classes of signals (

机译：冗余字典上的稀疏表示可构成许多信号类别的良好模型（

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来源
《IEEE Transactions on Information Theory》 |2019年第6期|3585-3599|共15页
作者
Rotem Mulayoff; Tomer Michaeli;
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作者单位

Department of Electrical Engineering Technion-Israel Institute of Technology Haifa Israel;

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正文语种 eng
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关键词
Dictionaries; Upper bound; Transforms; Standards; Sparse representation; Closed-form solutions; Image coding;

机译：字典;上限;转换;标准;稀疏表示;封闭式解决方案;图像编码;

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1. Secure Overcomplete Dictionary Learning for Sparse Representation [J] . Takayuki NAKACHI, Yukihiro BANDOH, Hitoshi KIYA IEICE transactions on information and systems . 2020,第1期

机译：安全的超完备字典学习以实现稀疏表示
2. Low bit-rate SNR scalable video coding based on overcomplete dictionary learning and sparse representation [J] . Maziar Irannejad, Homayoun Mahdavi-Nasab Multidimensional systems and signal processing . 2020,第2期

机译：低比特率SNR可伸缩视频编码，基于过度顺序字典学习和稀疏表示
3. Sparse representation and overcomplete dictionary learning for anomaly detection in electrocardiograms [J] . Neural computing & applications . 2020,第5期

机译：稀疏表示和过度顺从字典学习心电图中异常检测的异常检测
4. Overcomplete Dictionary Learning for Nonnegative Sparse Representation with an ℓ_p-Norm Constraint Based on Majorize-Minimization [C] . Shiori Ishikuro, Shuxue Ding, Xiang Li International Conference on Systems, Man, and Cybernetics . 2018

机译：基于极大化-最小化的ℓ_p-范数约束的非负稀疏表示的超完备字典学习
5. Visual recognition, inference and coding using learned sparse overcomplete representations. [D] . Murray, Joseph F. 2005

机译：使用学习的稀疏过完全表示进行视觉识别，推理和编码。
6. A neural computational model for bottom-up attention with invariant and overcomplete representation [O] . Zou Qi, Zhao Songnian, Wang Zhe, 2012

机译：具有自变量和不完全表示的自下而上注意的神经计算模型
7. Secure Overcomplete Dictionary Learning for Sparse Representation [O] . Takayuki NAKACHI, Yukihiro BANDOH, Hitoshi KIYA 2020

机译：安全超越字典学习稀疏表示

On the Minimal Overcompleteness Allowing Universal Sparse Representation

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