Multiscale Dictionary Learning: Non-Asymptotic Bounds and Robustness

@article{Maggioni2016MultiscaleDL,
  title={Multiscale Dictionary Learning: Non-Asymptotic Bounds and Robustness},
  author={Mauro Maggioni and Stanislav Minsker and Nate Strawn},
  journal={Journal of Machine Learning Research},
  year={2016},
  volume={17},
  pages={2:1-2:51}
}
High-dimensional data sets often exhibit inherently low-dimensional structure. Over the past decade, this empirical fact has motivated researchers to study the detection, measurement, and exploitation of such low-dimensional structure, as well as numerous implications for high-dimensional statistics, machine learning, and signal processing. Manifold learning (where the low-dimensional structure is a manifold) and dictionary learning (where the low-dimensional structure is the set of sparse… CONTINUE READING

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