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Comparing Self-Origanizing Maps

机译:比较自组织地图

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摘要

In exploratory analysis of high-dimensional data the self-organizing map can be used to illustrate relations between the data items. We have developed two measures for comparing how different maps represent these relations. The other combines an index of discontinuities in the mapping from the input data set to the map grid with an index of the accuracy with which the map represents the data set. This measure can be used for determining hte goodness of single maps. The other measure has been used to directly compare how similarly two maps represent relations between data items. Such a measure of the dissimilarity of maps is useful, e.g., for analyzing the sensitivity of maps to variations in their inputs or in the learning process. Also the similarity of two data sets can be compared indirectly by comparing the maps that represent them.
机译:在对高维数据进行探索性分析时,可以使用自组织图来说明数据项之间的关系。我们已经开发了两种方法来比较不同地图如何表示这些关系。另一个将从输入数据集到地图网格的映射中的不连续性索引与地图代表数据集的准确性索引相结合。该度量可用于确定单个地图的良好度。已使用另一种方法直接比较两个映射如何相似地表示数据项之间的关系。映射的相似性的这种度量例如对于分析映射对其输入或学习过程中的变化的敏感性是有用的。同样,可以通过比较表示两个数据集的映射来间接比较两个数据集的相似性。

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