Chapter 6 Architecture and Equilibria 6.3 Synaptic convergence to centroids:AVQ Al gor i thms Competitive learning adaptively quantizes the input pattern spaceR" p(x)characterizes the continuous distributions of pattern AVO X-→X centroid We shall prove that: Competitive AVQ synaptic vector m,converge exponentially to pattern-class centroid.They vibrate about the centroid in a Brownian motion 2006.11.10 72006.11.10 7 Chapter 6 Architecture and Equilibria 6.3 Synaptic convergence to centroids: AVQ Algorithms We shall prove that: Competitive AVQ synaptic vector converge exponentially to pattern-class centroid. They vibrate about the centroid in a Brownian motion m j Competitive learning adaptively quantizes the input pattern space characterizes the continuous distributions of pattern. n R p(x) X X centroid AVQ ^ →