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Aug 30, 2020 at 18:08 vote accept Physical Mathematics
Aug 30, 2020 at 17:02 answer added nbro timeline score: 3
Aug 30, 2020 at 2:34 comment added nbro Here is a related question What are the differences between artificial neural networks and other function approximators?.
Aug 30, 2020 at 2:34 history edited nbro
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Aug 29, 2020 at 21:38 comment added user9947 Because polynomials are limited by their degree. The approximation ability of functions are generally given by a measure called VC dimension, and 2 degree polynomials have VC dimension 2/3 (I forget the exact number). So you basically have to take infinite degree polynomial combinations. NNs can be somewhat flexible in this regard that you don't have to manually choose functions, you can pretty much approximate a polynomial within an interval given sufficient nodes. This is the general theory, there are much more detailed nuances which goes against this aforementioned theory.
Aug 29, 2020 at 16:25 review First posts
Aug 30, 2020 at 1:40
Aug 29, 2020 at 16:21 history asked Physical Mathematics CC BY-SA 4.0