An Introduction to Probabilistic Graphical Models PDF
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University of California, Berkeley
2003
Michael I. Jordan
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This document is an introduction to probabilistic graphical models by Michael I. Jordan, from the University of California, Berkeley, dated June 30, 2003. The document covers conditional independence and factorization.
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X4 X2 X6 X1 X3 X5 x2 0 1 x1 0 1 x4 0...
X4 X2 X6 X1 X3 X5 x2 0 1 x1 0 1 x4 0 1 0 x5 1 x2 0 1 X4 0 x6 X2 1 0 1 x1 0 X6 x2 X1 1 X3 X5 x3 x1 0 1 0 1 0 0 x5 x3 1 1 X4 X2 X6 X1 X3 X5 X Y Z X Y Z (a) (b) Y Y X Z X Z (a) (b) X Z X Z Y (a) (b) aliens watch late W X V Y Z X Y Z X Y Z (a) (b) Y Y X Z X Z (a) (b) X Z X Z Y Y (a) (b) X Y X Y (a) (b) X Y X Y (a) (b) X1 X2 X3 X4 X5 X4 X2 X6 X1 X3 X5 X4 X2 X6 X1 X3 X5 X4 X2 X6 X1 X3 X5 aliens watch late report aliens watch aliens watch late late report report (a) (b) X1 X2 X4 X2 X4 X1 X2 X4 X1 X3 X3 X4 X1 X2 X4 { X1 , X 3 } X2 { X2 , X3 } X4 X1 (a) (b) XB XA XC W X Y X Y Z Z (a) (b) x4 0 1 0 x2 x2 0 1 1 0 X4 x1 1 X2 X6 X1 x6 x3 1 0 1 X3 X5 0 0 x5 x5 0 x1 0 1 1 1 0 0 1 x3 1 x2 X Y Z Xi _1 Xi Xi +1 (a) xi x i +1 _1 1 _1 1 _ 1 1.5 0.2 _ 1 1.5 0.2 xi _1 xi 1 0.2 1.5 1 0.2 1.5 (b) X1 X2 X 50 Y X1 X1 X2 X3 X2 X3 (a) (b)
