Can we learn f(x)=1/x using a neural network exactly?

Question

Is there a way to train a neural network as $f(x) = {1 \over x}$ precisely?

score 2 · Answer 1 · edited Sep 08 '19 at 20:48

2

Since the activation function itself can be an inverse function, the answer is yes.

edited Sep 08 '19 at 20:48

Stephen Rauch

answered Sep 08 '19 at 20:28

Naman Mehta

score 1 · Answer 2 · answered Sep 10 '19 at 08:01

1

Division by zero is not defined, so at 1/0 its not possible to find the gradient and hence the function cannot be exactly approximated by NN

answered Sep 10 '19 at 08:01

user80942

2 Answers2