For the record, RNNs are Turing-complete and can implement any function: https://stats.stackexchange.com/questions/220907/meaning-and-proof-of-rnn-can-approximate-any-algorithm …https://twitter.com/fchollet/status/1010278944782708737 …
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I think there are opportunities/successes in finding both better hypothesis classes (eg. Resnets) and optimization/search algos (batchnorm).
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Both are important and intimately tied to each other as you say.
End of conversation
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