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Computer Vision (URGENT): Please answer all parts and show work for equations, thanks! (will upvote :)) I've completed this problem but I need someone to
Computer Vision (URGENT): Please answer all parts and show work for equations, thanks! (will upvote :)) I've completed this problem but I need someone to troubleshoot it as I've gotten a few parts wrong. My answers are below the question prompt
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Bayes classifier for 3D patterns (40\%): Let's explore the mechanics of the preceding development. We assume that the patterns are samples from two Gaussian populations, and hat classes c1 and c2 occurs equally likely, c1 has sample pattern vectors (1,2,3),(2,2,4), 2,2,3), and (2,3,3), and c2 has sample pattern vectors (1,2,4),(1,3,4),(2,3,4),(1,3,3) a. what is m1 and m2 when applying mj=nj1xcjx to the sample pattern vectors? Note that nj is the number of sample pattern vectors from class cj, and the summatio is taken over these vectors. b. from Cj=nj1xcjxxTmjmjT, what does C1=C2= ? , and the inverse of this matrix? c. what are the decision functions? Assuming classes are equally likely as dj(x)= xTC1mj21mjTC1mj. d. The decision boundary separating the two classes is d1(x)d2(x) a. m1=(41)[(1,2,3)+(2,2,4)+(2,2,3)+(2,3,3)]=(1.75,2.25,3.25)m2=(41)[(1,2,4)+(1,3,4)+(2,3,4)+(1,3,3)]=(1.25,2.75,3.75) b. C1=0.56250.06250.06250.06250.56250.56250.06250.56250.5625notright C11=1.790.540.540.541.791.790.541.791.79 C2=0.06250.06250.06250.06250.06250.06250.06250.06250.0625notrightC21=16444161641616d1(x)=xTC11m1(21)m1TC11m1butitneedstosubstitutevaluesofC1andm1d2(x)=xTC21m2(21)m2TC21m2butitneedstosubstitutevaluesofC2andm2 d. d1(x)d2(x). please express it out in terms of x1,x2,x3
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