Using directional curvatures to visualize folding patterns of the GTM projection manifolds

P. Tino, I. Nabney, Yi. Sun

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
18 Downloads (Pure)

Abstract

In data visualization, characterizing local geometric properties of non-linear projection manifolds provides the user with valuable additional information that can influence further steps in the data analysis. We take advantage of the smooth character of GTM projection manifold and analytically calculate its local directional curvatures. Curvature plots are useful for detecting regions where geometry is distorted, for changing the amount of regularization in non-linear projection manifolds, and for choosing regions of interest when constructing detailed lower-level visualization plots.
Original languageEnglish
Pages (from-to)421-428
JournalLecture Notes in Computer Science (LNCS)
Volume2130
DOIs
Publication statusPublished - 2001
EventICANN 2001: Int Conf on Artificial Neural Networks - Vienna, Austria
Duration: 21 Aug 200125 Aug 2001

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