(a) The following pattern classes have Gaussian probability density functions. wi = { (0, 0)", (2.0)", (2, 2",(0, 2) "} and w2 = {(4, 4)", (6,4)", (6, 6)", (4, 6)"} (i) 1 Assuming that p(w;) = p(w2) 2 obtain the equation of the Bayes decision boundary between these two classes. (ii) Sketch the boundary.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a)
The following pattern classes have Gaussian
probability density functions.
w; = { (0, 0)", (2, 0)" , (2, 2)" , (0, 2) "}
and w2 = { (4, 4)" , (6, 4)" , (6, 6)", (4, 6)" }
(i)
1
Assuming that p(w;) = p(w2)
= 2
obtain the equation of the Bayes
decision boundary between these two
classes.
(ii) Sketch the boundary.
Transcribed Image Text:(a) The following pattern classes have Gaussian probability density functions. w; = { (0, 0)", (2, 0)" , (2, 2)" , (0, 2) "} and w2 = { (4, 4)" , (6, 4)" , (6, 6)", (4, 6)" } (i) 1 Assuming that p(w;) = p(w2) = 2 obtain the equation of the Bayes decision boundary between these two classes. (ii) Sketch the boundary.
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