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A comparative analysis of an extended SOM network and K-means analysis

机译:扩展SOM网络的比较分析和K均值分析

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摘要

The Self-Organizing Map (SOM) network, a variation of neural computing networks, is a categorization network developed by Kohonen. The main function of SOM networks is to map the input data from an n-dimensional space to a lower dimensional plot while maintaining the original topological relations. In this research, we apply an extended SOM network that includes a grouping function to further cluster input data based on the relationships derived from a lower dimensional SOM map, to market segmentation problems. A computer program for implementing the extended SOM networks has been developed and it was first compared with K-means analysis in an experimental design using simulated data sets with known cluster solutions. Test results indicate that the extended SOM networks perform better when the data are skewed. We then further test the performance of the method with a real-world data set from a widely referenced machine-learning case. We believe the findings from this research can be applied to other problem domains as well.
机译:自组织映射(SOM)网络是神经计算网络的变体,是Kohonen开发的分类网络。 SOM网络的主要功能是在保持原始拓扑关系的同时,将输入数据从n维空间映射到低维图。在这项研究中,我们将扩展的SOM网络(包括分组功能)应用于根据低维SOM映射得出的关系进一步对输入数据进行聚类,以解决市场细分问题。已经开发出了用于实现扩展SOM网络的计算机程序,并且该程序首先与K-means分析进行了比较,该实验设计是使用带有已知群集解决方案的模拟数据集进行的实验设计。测试结果表明,当数据倾斜时,扩展SOM网络的性能更好。然后,我们使用来自广泛引用的机器学习案例的真实数据集进一步测试该方法的性能。我们相信这项研究的结果也可以应用于其他问题领域。

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