Quote:
Originally Posted by ripande
As per lecture 4 : Slide 16/22
Noise target = Diterministic Target + Noise (This is clear)
However it then says :
Diterministic target f(x) = E(YX). Hence
y ( Noisy target) = E(YX) ( Diterministic target) + noise ( yf(x) )
I do not understand the above statement. Did we not say that to accomodate for noisy targets we replace y = f(x) with a conditional distribution of y given x. Should then not the noisy target be defined by
E(YX) ?

The noisy target is
and indeed it is specified by
. The equation decomposes the noisy target into a noiseless component plus a pure noise component.