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Visualizing High-Dimensional Structure with the Incremental Grid Growing Neural Network

机译:使用增量网格增长神经网络可视化高维结构

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Understanding high-dimensional real world data usually requires learning the structure of the data space. The structure may contain high-dimensional clusters that are related in complex ways. Methods such as merge clustering and self-organizing maps are designed to aid the visualization and interpretation of such data. However, these methods often fail to capture critical structural properties of the input. Although self-organizing maps capture high-dimensional topology, they do not represent cluster boundaries or discontinuities. Merge clustering extracts clusters, but it does not capture local or globbl topology. This paper proposes an algorithm that combines the topology-preserving characteristics of self-organizing maps with a flexible, adaptive structure that learns the cluster boundaries in the data.
机译:了解高维现实世界数据通常需要学习数据空间的结构。该结构可能包含以复杂方式关联的高维聚类。设计了诸如合并聚类和自组织映射之类的方法,以帮助此类数据的可视化和解释。但是,这些方法通常无法捕获输入的关键结构属性。尽管自组织图捕获了高维拓扑,但它们并不代表群集边界或不连续性。合并群集可提取群集,但不能捕获本地或全局拓扑。本文提出了一种算法,该算法将自组织映射的拓扑保留特性与学习数据中簇边界的灵活自适应结构相结合。

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