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I think the author might be overlooking just how weird something can be while still being a function. Let f(x):R->{1,0} be such that f(x)=1 if x is rational an
by __MatrixMan__ 5y ago
I think the author might be overlooking just how weird something can be while still being a function.
Let f(x):R->{1,0} be such that f(x)=1 if x is rational and 0 otherwise.
- vecter 5y agoHe says continuous function
- jjgreen 5y agoHe also says in the first sentence "One of the most striking facts about neural networks is that they can compute any function at all", that later caveat is incompatible, most function are not continuous.
- laichzeit0 5y agoOk so what about the Cantor function? Can it learn that?
- Banana699 5y ago"Visual proof" pretty much gave away the fact that it was going to be a non-rigorous reasoning process based on drawing an arbitary plot, once you draw a plot you're already assuming a lot about its underlying function. The title isn't very misleading.