Corpus ID: 236155045

Efficient Algorithms for Learning Depth-2 Neural Networks with General ReLU Activations

@article{Awasthi2021EfficientAF,
  title={Efficient Algorithms for Learning Depth-2 Neural Networks with General ReLU Activations},
  author={Pranjal Awasthi and Alex K. Tang and Aravindan Vijayaraghavan},
  journal={ArXiv},
  year={2021},
  volume={abs/2107.10209}
}
We present polynomial time and sample efficient algorithms for learning an unknown depth-2 feedforward neural network with general ReLU activations, under mild non-degeneracy assumptions. In particular, we consider learning an unknown network of the form f(x) = aσ(Wx+b), where x is drawn from the Gaussian distribution, and σ(t) := max(t, 0) is the ReLU activation. Prior works for learning networks with ReLU activations assume that the bias b is zero. In order to deal with the presence of the… Expand

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