matrix: = = Consider two classes with the same priors P(c) = P(c2) the same...
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matrix: Σ = = Consider two classes with the same priors P(c₁) = P(c2) the same covariance and means ₁ = (1,1) and μ₁ (2, 1). Consider also the following test points: x=(0, 1) and y = (1.5,0). (a) How would x and y be classified according to full Bayes classifier? Show your computation. Note that the pdf of multivariate normal distributions is P(x|c)N(pi, Ei) with PDF: 1 f(x) = √(2) Σ exp{- (2π)* - - (x — µi)Σ¹ (x — Hi)}. 2 Note also that √(2) will be the same for both classes. The inverse of the covariance Σ-1. Σ. Σε (b) Would the classification result differ if we use Naive Bayes? Explain why. === = matrix: Σ = = Consider two classes with the same priors P(c₁) = P(c2) the same covariance and means ₁ = (1,1) and μ₁ (2, 1). Consider also the following test points: x=(0, 1) and y = (1.5,0). (a) How would x and y be classified according to full Bayes classifier? Show your computation. Note that the pdf of multivariate normal distributions is P(x|c)N(pi, Ei) with PDF: 1 f(x) = √(2) Σ exp{- (2π)* - - (x — µi)Σ¹ (x — Hi)}. 2 Note also that √(2) will be the same for both classes. The inverse of the covariance Σ-1. Σ. Σε (b) Would the classification result differ if we use Naive Bayes? Explain why. === =
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Step 1 To classify the test points x 0 1 and y 15 0 using the full Bayes classifier we need to compu... View the full answer
Related Book For
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish
Posted Date:
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