Chapter 6 Architecture and Equilibria 6.3 Synaptic convergence to centroids:AVQ Algor i thms Competitive AVQ Stochastic Differential Equations Pattern Rn Rn=DOD2UD3DK 6.6 DnD=D,fi≠j 6.7 The Random Indicator function... 1.()=ixeD 6-8 oif xD Supervised learning algorithms depend explicitly on the indicator functions.Unsupervised learning algorithms don't require this pattern-class information. ID.xp(x)dx Centriod 6-9 (x)dx 2006.11.10 82006.11.10 8 Chapter 6 Architecture and Equilibria 6.3 Synaptic convergence to centroids: AVQ Algorithms , 6.7 .... 6.6 1 2 3 if i j j D i D K Rn D D D D PatternRn  =  =    The Random Indicator function Supervised learning algorithms depend explicitly on the indicator functions.Unsupervised learning algorithms don’t require this pattern-class information. Centriod D D D DK I ,I ,I ,......I 1 2 3 6 8 0 1 ( ) −      = j j D i f x D i f x D I x j 6 9 ( ) ( ) ^ −   = j D p x dx j D xp x dx j x Competitive AVQ Stochastic Differential Equations