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Old 01-14-2013, 07:52 PM
vbipin vbipin is offline
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Join Date: Jan 2013
Location: Shanghai
Posts: 18
Default Re: Computing Pr(f(x) != g(x))

I computed the probabilities by approximating it by taking a large set of points. Here is what I did:

After the run of PLA we have the g function ( in the form of weights )
We also have the f ( since we generated it )
Now create a large number ( L ) of fresh random points in the space
Check how many of these points have f(x) != g(x); call it 'Error'

Compute the probability = Error/L

Note:
I don't know if this method is correct or not.
I don't know what is the value of L that is "sufficiently large";
I used L = 1000000
The computed probabilities will very ( You may want to take an average )
I got the answers correct ( May be by luck )

If any of you tried the approximate computing method, can you please share your ideas.

Thanks,
Bipin
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