Thread: role of P(X) ?
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Old 09-07-2015, 11:50 AM
giridhar1202 giridhar1202 is offline
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Default Re: role of P(X) ?

Quote:
Originally Posted by yaser View Post
P affects the value of \mu because it affects the probability of each {\bf x}\in{\cal X}, so the probability of red marbles (i.e., {\bf x}'s where h({\bf x})\ne f({\bf x})) changes accordingly. We are sampling according to P, except that when we look at the bin abstraction of the situation, we only care about the color of {\bf x} not its identity, so the binary-event probability \mu is sufficient to characterize sampling of the marbles.

But isn't \mu fixed when you choose a particular hypothesis h. [ Because number of red marbles is equal to the number of points in the input space where hypothesis ( h ) and target function ( f ) disagree. And this, in my opinion, has nothing to do with probability distribution function ]

Please clarify.

Thanks,
Giridhar.
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