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I have two questions:

1- What are the applications of recurrent neural networks?

2- Can you recommend some good resources/papers/tutorials that introduce recurrent neural networks?

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The major applications of Recurrent Neural Network (RNN) is sequence modelling. Applications like Machine Translation, Named Entity Recognition, Part-of-Speech Tagging etc.(since, i work in NLP, all the examples are from NLP)

Some of the resources which I found helpful for a beginner are:

Specifically the part on Backpropagation Through Time was well explained in the thesis.

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    $\begingroup$ Dude thank you. But can you please also explain how RNN compares or relates to density estimation methods? Or whatever statistical primitives? $\endgroup$ – caveman Feb 24 '16 at 14:52

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