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Learning orthogonal dictionaries using Riemannian subgradient descent

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Summary

This set of Matlab codes reproduce the figures and experimental results published in our paper:

Subgradient Descent Learns Orthogonal Dictionaries.
Yu Bai, Qijia Jiang, Ju Sun. https://arxiv.org/abs/1810.10702.

  • The M files subgrad_ident.m and subgrad_ortho.m: implement the Riemannian subgradient descent algorithm and reproduce Figure 1.
  • The M file solver_granso.m: implement the nonsmooth BFGS method based on the GRANSO package (version 1.6).

Codes written by Qijia Jiang and Ju Sun. Questions or bug reports please send email to Ju Sun, [email protected]

Thanks to bug reporters:

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Learning orthogonal dictionaries using Riemannian subgradient descent

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