title: neural networks can't figure out Fourier transforms?
body: <p>I'm trying to understand a few things about neural networks. First, after looking around on the web, it seems that there is no way to compute a (discrete) Fourier transform through a neural network. You can hack it by hard-coding the thing to include the Fourier constants for the transform and then get a decent result. Why can the machine not figure these out by itself?</p>