使用自组织映射生长RBF结构

Qingyu Xiong, K. Hirasawa, Jinglu Hu, J. Murata
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引用次数: 10

摘要

本文提出了一种基于SOM的RBF网络结构。它分别由SOM和RBF网络组成。SOM进行无监督学习,并将属于其输出节点的权向量作为RBF激活函数的中心传递给RBF网络中的隐藏节点,从而实现了SOM的输出节点与RBF网络中隐藏节点的一一对应关系。RBF网络使用delta规则进行监督训练。因此,RBF网络中的当前输出误差可以根据该规则来确定插入新SOM单元的位置。这也使得RBF网络可以不断增长,直到满足性能标准或获得所需的网络大小。在双螺旋基准上的仿真结果证明了该网络具有良好的性能。
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Growing RBF structures using self-organizing maps
We present a novel growing RBF network structure using SOM in this paper. It consists of SOM and RBF networks respectively. The SOM performs unsupervised learning and also the weight vectors belonging to its output nodes are transmitted to the hidden nodes in the RBF networks as the centers of RBF activation functions, as a result one to one correspondence relationship is realised between the output nodes in SOM and the hidden nodes in RBF networks. The RBF networks perform supervised training using delta rule. Therefore, the current output errors in the RBF networks can be used to determine where to insert a new SOM unit according to the rule. This also makes it possible to make the RBF networks grow until a performance criterion is fulfilled or until a desired network size is obtained. The simulations on the two-spirals benchmark are shown to prove the proposed networks have good performance.
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