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Old 04-06-2013, 07:12 PM
mvellon mvellon is offline
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Join Date: Apr 2013
Posts: 9
Default Re: Probability calculation in Q8 and Q10

Your value of g, assuming it doesn't exactly match f, will be a line with a slope and intercept close, though not exactly that of f. Imagine then, two intersecting lines. The area in between the lines correspond to values in X that g misclassifies. The ratio between that area and that bounded by the region [-1,-1]x[1,1] (area 4) will be the probability of error. Alas, calculating the area between the lines is ugly. The problem would have been much simpler if the domain for X had been points inside the circle at (0,0) with radius 1.
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