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2006

Weighted differential topographic function: a refinement of topographic function

11 years 1 months ago
Weighted differential topographic function: a refinement of topographic function
Topology preservation of Self-Organizing Maps (SOMs) is an advantageous property for correct clustering. Among several existing measures of topology violation, this paper studies the Topographic Function (TF) [1]. We find that this measuring method, demonstrated for low-dimensional data in [1], has a reliable foundation in its distance metric for the interpretation of the neighborhood relationship in the input space, for high-dimensional data. Based on the TF, we present a Differential Topographic Function (DTF) to reveal the topology violation more clearly and informatively. In addition, a Weighted Differential Topographic Function (WDTF) has been developed. For real world data, the DTF and WDTF unravel more details than the original TF, and help us estimate the topology preservation quality more accurately.
Lili Zhang, Erzsébet Merényi
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2006
Where ESANN
Authors Lili Zhang, Erzsébet Merényi
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