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The code is for the paper: ``Complete Dictionary Learning via \ell_p-norm Maximization'',Yifei Shen∗ , Ye Xue∗ , Jun Zhang , Khaled B. Letaief , Vincent Lau

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README.md

LpDL

This is an open-source implementation for our series work on dictionary learning.

The primary work is the UAI 2020 submission "Complete Dictionary Learning via p-norm Maximization'', Yifei Shen∗, Ye Xue∗, Jun Zhang, Khaled B. Letaief, Vincent Lau. [pdf]

The main theoretical results are summarized in this work. If you find they are useful, please cite:

@InProceedings{pmlr-v124-shen20a,
  title = 	 {Complete Dictionary Learning via $\ell_p$-norm Maximization},
  author =       {Shen, Yifei and Xue, Ye and Zhang, Jun and Letaief, Khaled and Lau, Vincent},
  pages = 	 {280--289},
  year = 	 {2020},
  editor = 	 {Jonas Peters and David Sontag},
  volume = 	 {124},
  series = 	 {Proceedings of Machine Learning Research},
  address = 	 {Virtual},
  month = 	 {03--06 Aug},
  publisher =    {PMLR},
  pdf = 	 {http://proceedings.mlr.press/v124/shen20a/shen20a.pdf},
  url = 	 {http://proceedings.mlr.press/v124/shen20a.html}
}

1.0 Prerequisites

2.0 Run the experiment for synthetic data

Run the Matlab files in the "Synthetic data" folder

3.0 Run the experiment for MNIST data

Run the Matlab files in the "lp-mnist" folder

4.0 Application for Blind Data Detection

Run the code in the "L3_BlindDataDetection" folder, which provides the elementary code for algorithmic verification for the paper "Blind Data Detection in Massive MIMO via ℓ3-norm Maximization over the Stiefel Manifold," Y. Xue, Y. Shen, V. Lau, J. Zhang and K. B. Letaief, in IEEE Transactions on Wireless Communications.[pdf] If you find this application is helpful, please cite

@ARTICLE{9246702,
  author={Y. {Xue} and Y. {Shen} and V. {Lau} and J. {Zhang} and K. B. {Letaief}},
  journal={IEEE Transactions on Wireless Communications}, 
  title={Blind Data Detection in Massive MIMO via ℓ3-norm Maximization over the Stiefel Manifold}, 
  year={2020},
  volume={},
  number={},
  pages={1-1},
  doi={10.1109/TWC.2020.3033699}}

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The code is for the paper: ``Complete Dictionary Learning via \ell_p-norm Maximization'',Yifei Shen∗ , Ye Xue∗ , Jun Zhang , Khaled B. Letaief , Vincent Lau

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