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Old 07-16-2012, 10:39 PM
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yaser yaser is offline
Join Date: Aug 2009
Location: Pasadena, California, USA
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Default Re: PLA - Need Guidance

Originally Posted by jtwang View Post
How would you determine f(x) == g(x) exactly - since the set of possible hypotheses is infinite (3 reals), wouldn't Pr(f(x) != g(x)) == 1? Obviously you could choose some arbitrary epsilon but then that wouldn't be "exactly."
f({\bf x})=g({\bf x}) is per point {\bf x}. It may be true for some {\bf x}'s and false for others, hence the notion of probability that it's true (probability with respect to {\bf x}). We are not saying that f is identically equal to g.
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