4 ms·
I think it's mostly accurate in L2 norm and not point by point. So every function in L2 can be approximated arbitrarily in L2 norm.
by leni536 11y ago
I think it's mostly accurate in L2 norm and not point by point. So every function in L2 can be approximated arbitrarily in L2 norm.
- chestervonwinch 11y agoThis is not true. The theorem proves point-wise convergence for a continuous functions on a compact subset of R^n. See theorem 2, page 6: http://deeplearning.cs.cmu.edu/pdfs/Cybenko.pdf http://deeplearning.cs.cmu.edu/pdfs/Cybenko.pdf