I noted some connections between deep neural networks and chaos theory/fractals on my blog site:
http://randomprojectionai.blogspot.com/2017/10/why-you-should-use-wide-neural-networks.html
It would be troublesome if deep networks turn out to be evolved (or otherwise learned) fractal blobs. For surely the computational cost will always be great.
However if there is no significantly cheaper way, then I accept paying the toll keeper.
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