ON THE AS CONVERGENCE OF THE KOHONEN ALGORITHM WITH A GENERAL NEIGHBORHOOD FUNCTION

作     者：Fort, Jean-Claude Pages, Gilles 

作者机构：Univ Nancy 1 Inst Elie Cartan F-54506 Vandoeuvre Les Nancy France Univ Paris 06 Lab Probabilites URA 224 F-75252 Paris 05 France 

出 版 物：《ANNALS OF APPLIED PROBABILITY》 (应用概率纪事)

年 卷 期：1995年第5卷第4期

页      面：1177-1216页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Self-organization quantization stochastic algorithms neural networks 

摘      要：Some existence and stability results for the equilibrium points of the one-dimensional Kohonen self-organizing neural network with two neighbors are extended to most nonincreasing neighborhood functions. All the functions mentioned in the neural literature are included. The assumption on the stimuli distribution is weakened, too. In the multidimensional setting, we derive from a general formula various stability and instability results.