On the Sample Complexity of Predictive Sparse Coding

@article{Mehta2012OnTS,
  title={On the Sample Complexity of Predictive Sparse Coding},
  author={Nishant A. Mehta and Alexander G. Gray},
  journal={CoRR},
  year={2012},
  volume={abs/1202.4050}
}
Predictive sparse coding algorithms recently have demonstrated impressive performance on a variety of supervised tasks, but they lack a learning theoretic analysis. We establish the first generalization bounds for predictive sparse coding. In the overcomplete dictionary learning setting, where the dictionary size k exceeds the dimensionality d of the data, we present an estimation error bound that is roughly O( √ dk/m + √ s/(μm)). In the infinite-dimensional setting, we show a dimension-free… CONTINUE READING
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