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Re:DeepMath Conference 2020 – Conference on the Mathematical... by aborsy on Saturday November 07, 2020 @01:11PM (#25017013)
It depends on the function that you are trying to approximate.

I can give you a function that a shallow nnet would approximate better and functions that deep nets approximate exponentially better even with one more layer (in terms of number of neurons n). In the limit n->\infty, both reach arbitrary small errors (obviously often with different number of parameters).

Re:DeepMath Conference 2020 – Conference on the Mathematical... by falcor84 on Saturday November 07, 2020 @01:37PM (#25017267)
Is there a particular theorem that you're invoking here?