Chapter 3.Neural Dynamics II:Activation Models X3.6.1 Optimal Linear Associative Memory Matrices Optimal linear associative memory matrices: The pseudo-inverse matrix of: If x is a nonzero scalar:x=1/x If x is a nonzero vector: X If x is a zero scalar or zero vector x*=0 For a rectangular matrix X,if ()exists: X"=X(XX) 2002.10.82002.10.8 Chapter 3. Neural Dynamics II:Activation Models ※3.6.1 Optimal Linear Associative Memory Matrices Optimal linear associative memory matrices: The pseudo-inverse matrix of X : * X If x is a nonzero scalar: x 1/ x * = If x is a zero scalar or zero vector : For a rectangular matrix , if exists: 0 * x = If x is a nonzero vector: T T xx x x = * 1 ( ) T − XX * 1 ( ) − = T T X X XX X