LFD Book Forum The other side of |Eout - Ein|<= epsilon
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#1
04-19-2013, 07:56 PM
 manish Junior Member Join Date: Apr 2013 Posts: 1
The other side of |Eout - Ein|<= epsilon

I don't understand how Eout(g) >= Ein(g) - epsilon
implies that there is no other hypothesis better than g?
#2
04-19-2013, 09:11 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,475
Re: The other side of |Eout - Ein|<= epsilon

Quote:
 Originally Posted by manish I don't understand how Eout(g) >= Ein(g) - epsilon implies that there is no other hypothesis better than g?
You are right. The statement that is relevant to the conclusion that "there is no other hypothesis better than " is for all . Since one of the 's is , one can also conclude the same relationship for , but that says something else. In the other direction, it is also true that for all , but we write it in terms of only since this is sufficient for the conslusion we need in that direction.
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