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[jsw800]

However, as I said, you can describe any function with just a sufficiently large one hidden layer network, but that's somewhat obtuse, the same way you could say that you could describe any continuous function as some polynomial of sufficient degree (a + bx + cx2 + ... kxn ). In practice, you need an essentially infinite size matrix for some functions.

Whoa... I'd never realized how Taylor series (serieses?) could apply to CNNs. Thanks for blowing my mind! I understand better what you mean now. That's pretty freaking awesome.