Chapter 6 Architecture and Equilibria 6.3 Synaptic convergence to centroids:AVQ Algor ithms Comptetive AVQ Stochastic Differential Equations Pattern Rn R”=DUD2UD3UDK 6.6 D,∩Dj=Φ，fi≠j 6.7 The Random Indicator function... [1fx∈D Io()0if xeD 6-8 Supervised learning algorithms depend explicitly on the indicator functions.Unsupervised learning algorthms don't require this pattern-class information. ID.xp(x)dx Centriod 6-9 ID.p(x)dx 2004.11.10 92004.11.10 9 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 algorthms 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 if x D if x D I x j 6 9 ( ) ( ) ^ −   = j D p x dx j D xp x dx j x Comptetive AVQ Stochastic Differential Equations