7-classification-SVM

60395702 069120675 57 018288684 089631405 65

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Unformatted text preview: xTb+b0) ! 1-#i bi X i Slack vectors, #i 1 1 + e−u 2 1 √ e−u /2 2π ￿ 2/π ￿ u e−z 2 /2 δz 0 Statistics 503, Spring 2013, ISU eu − e−u eu + e−u 12 67-8#,$ ˆ Y = a0 + s ￿ (aj (b0j + j =1 -1 bij Xi )) i=1 ￿ (aj f (b0j H,&,K':.G,%.,&)' + bij Xi ))) j =1 i=1 0&,/9,%9'@,"00.,/ H.L)%)/&'G,%.,/*)0 4 2 ￿ ￿ ˆ Y = f (a0 + (aj f (b0j + bij Xi ))) f = logit function M./),%32'/$/S j =1 i=1 0)#,%,:3) x 3 2 1 0 x2 (1 − λ)S + λI, p ￿ x ˆ Y = g (a0 + x xx xx x xx xxx x xx xx xx x x x xx x x xx xx xx x x x x x xx x x x x x x xx xx x xx xx x xx x x xx x x x x xx x x x x x x o xo o xx x x o xx xx o o oo x x x x xx o o o ooo o o oo oo o o oo o ooooooo o oo oo o o x oo o ooooo oooooo o oo ooo o o x x o oo o o o oo o o ooo o oo o oo o x o oo oo o x x p s ￿ x x λ ∈ [0, 1] -2 -1 0 ¯ ¯ 1 2 (Xk − X0 )￿ S3−1 (Xk − X0 ) − logpk pooled x1 1 Statistics 503, Spring 2013, ISU 13 > x.svm$SV x1 0.50153760 0.00464148 -0.60395702 0.18288684 0.24114698 -0.38355668 -0.05881229 27 34 51 57 65 66 73 ... > x.svm$coefs [,1] [1,] 1.0000000 [2,] 1.0000000 [3,] 1.0000000 [4,] 1.0000000 [5,] 1.0000000 [6,] 1.0000000 [7,] 0.7602173 ... x2 -1.35639070 -0.32358817 0.69120675 -0.89631405 -0.93986684 0.19888155 0.31740166 67-8#,$ T).;-&0'$F'<$0&' 0"##$%&'G)*&$%0',%)' :$"/9)9',&'-1'$%'1U Statistics 503, Spring 2013, ISU 14 > x.svm$SV x1 x2 27 0.50153760 -1.35639070 34 0.00464148 -0.32358817 51 -0.60395702 0.69120675 57 0.18288684 -0.89631405 65 0.24114698 -0.93986684 66 -0.38355668 0.19888155 73 -0.05881229 0.31740166 ... > x.svm$coefs [,1] [1,] 1.0000000 [2,] 1.0000000 [3,] 1.0000000 [4,] 1.0000000 [5,] 1.0000000 [6,] 1.0000000 [7,] 0.7602173 ... 67-8#,$ s=21 T).;-&0'$F'<$0&' 0"##$%&'G)*&$%0',%)' :$"/9)9',&'-1'$%'1U Statistics 503, Spring 2013, ISU 14 > x.svm$SV x1 0.50153760 0.00464148 -0.60395702 0.18288684 0.24114698 -0.38355668 -0.05881229 27 34 51 57 65 66 73 ... > x.svm$coefs [,1] [1,] 1.0000000 [2,] 1.0000000 [3,] 1.0000000 [4,] 1.0000000 [5,] 1.0000000 [6,] 1.0000...
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