Learning Polynomials with Neural Networks Alexandr Andoni ANDONI MICROSOFT COM Microsoft Research Rina Panigrahy RINA MICROSOFT COM Microsoft Research Gregory Valiant GREGORY VALIANT GMAIL COM Stanfo

While neural networks have been shown to have great expressive power and gradient descent has been widely used in prac tice for learning neural networks few theoretical guarantees are known for such methods In par ticular it is well known that gradi

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