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自组织拓扑映射与主曲线学习
引用本文:倪劲松,李玉珍,王宜怀.自组织拓扑映射与主曲线学习[J].计算机科学,2006,33(3):151-154.
作者姓名:倪劲松  李玉珍  王宜怀
作者单位:1. 苏州大学数学科学学院,苏州,215006
2. 苏州大学计算机科学与技术学院,苏州,215006
基金项目:江苏省教育厅自然科学基金
摘    要:本文利用自组织拓扑映射方法设计了一种简易主曲线学习的算法,该算法继承了 HS 主曲线算法和 K 主曲线算法的主要优点.同时降低了一般主曲线算法的难度,使其变得更简洁明了。

关 键 词:向量量化器  自组织拓扑映射  Voronoi邻域  主曲线

Self-organized Topological Mapping and Principal Curve Learning
NI Jin-Song,LI Yu-Zheng,WANG Yi-Huai.Self-organized Topological Mapping and Principal Curve Learning[J].Computer Science,2006,33(3):151-154.
Authors:NI Jin-Song  LI Yu-Zheng  WANG Yi-Huai
Affiliation:Mathematics and Information Science College, Suzhou University, Suzhou 215006
Abstract:We use the method of self-organized topological mapping to design a learning algorithm of principal curves. The algorithm is composed by two parts.In the first part,based on the theory of generalized vector guantizer,we have achieved refined GL-algorithm,and use it to compute polygonal line principal curves for every finite discrete data set, which is like Kegl has done.In the second part,we combine the method of self-organized topological mapping with re- fined GL-algorithm to design an algorithm of principal curves(Algorithm C),which is simpler than HS-type and K- type.This algorithm has inherited main virtues of the principal curves of HS-type and K-type.
Keywords:Vector quantizer  Self-organized topological mapping  Voronoi neighborhood  Principle curve
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