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

Tino, Peter, Nabney, Ian T. and Sun, Yi (2001). Using directional curvatures to visualize folding patterns of the GTM projection manifolds. IN: Artificial Neural Networks — ICANN 2001. Dorffner, G.; Bischof, H. and Hornik., K. (eds) Lecture Notes in Computer Science, 2130 . AUT: Springer.


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.

Publication DOI:
Divisions: Engineering & Applied Sciences > Computer Science
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: The original publication is available at
Event Title: International Conference on Artificial Neural Networks, ICANN 2001
Event Type: Other
Event Dates: 2001-08-21 - 2001-08-25
Uncontrolled Keywords: data visualization,non-linear projection manifolds,directional curvatures,curvature plots,geometry,visualization plots
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://www.spri ... c282826dbf&pi=0 (Publisher URL)
Published Date: 2001-01-01
Authors: Tino, Peter
Nabney, Ian T. ( 0000-0003-1513-993X)
Sun, Yi



Version: Accepted Version

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