Left: how you would plot the Xception architecture in a paper. Right: how you would implement it with the Functional API (that's the entire code). 1:1 match between how you think about it and how you write it.pic.twitter.com/ehCo1jirGv
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are these three functions referentially transparent?
As far as the user is concerned, yes. Side effects are purely internal. Only user-visible side-effect is incrementing the counter used for automatic layer name generation (but these names are purely cosmetic, and this goes away if you use explicit names for all your layers)
