Chapter 6 Architecture and Equilibria 6.3 Synaptic convergence to centroids:AVQ Al gor ithms Competitve learning adpatively qunatizes the input pattern space R" p(x)charcaterizes the continuous distributions of pattern AVO X→X centroid We shall prove that: Competitve AVQ synaptic vector converge to pattern-class centroid.They vibrate about the cemtroid in a Browmian motion 2004.11.10 82004.11.10 8 Chapter 6 Architecture and Equilibria 6.3 Synaptic convergence to centroids:AVQ Algorithms We shall prove that: Competitve AVQ synaptic vector converge to pattern-class centroid. They vibrate about the centroid in a Browmian motion m j Competitve learning adpatively qunatizes the input pattern space charcaterizes the continuous distributions of pattern. n R p(x) X X centroid AVQ ^ →