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Final_solutions

# Final_solutions - EE 649 Pattern Recognition – Spring...

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Unformatted text preview: EE 649 Pattern Recognition – Spring 2008 Final - Solutions Problem 1. Let C 1 and C 2 denote the classes for the LDA and the nonlinear SVM, respectively. From the plots, we have n = 10, ˆ ǫ n, C 1 = 3 / 10 = 0 . 3, and ˆ ǫ n, C 2 = 1 / 10 = 0 . 1. On the other hand, from the lecture slides, we have V C 1 = d + 1 = 3 and V C 2 = ( d + p- 1 p ) + 1 = ( 3 2 ) + 1 = 4. Therefore, with ξ = 0 . 05, ˆ ǫ n, C 1 + radicalBigg 32 n bracketleftbigg V C 1 log( n + 1)- log parenleftbigg ξ 8 parenrightbiggbracketrightbigg = 0 . 3 + radicalbig 3 . 2(3log 11- log 0 . 00625) ≈ 6 . 6 while ˆ ǫ n, C 2 + radicalBigg 32 n bracketleftbigg V C 2 log( n + 1)- log parenleftbigg ξ 8 parenrightbiggbracketrightbigg = 0 . 1 + radicalbig 3 . 2(4log 11- log 0 . 00625) ≈ 7 . Hence, according to the principle of SRM, one should pick the LDA classifier, despite its having a larger apparent error. Problem 2....
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Final_solutions - EE 649 Pattern Recognition – Spring...

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