• Corpus ID: 3286670

Expressive power of recurrent neural networks

@article{Khrulkov2018ExpressivePO,
  title={Expressive power of recurrent neural networks},
  author={Valentin Khrulkov and Alexander Novikov and I. Oseledets},
  journal={ArXiv},
  year={2018},
  volume={abs/1711.00811}
}
Deep neural networks are surprisingly efficient at solving practical tasks, but the theory behind this phenomenon is only starting to catch up with the practice. Numerous works show that depth is the key to this efficiency. A certain class of deep convolutional networks -- namely those that correspond to the Hierarchical Tucker (HT) tensor decomposition -- has been proven to have exponentially higher expressive power than shallow networks. I.e. a shallow network of exponential width is required… 

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