@inbook{67e157884775485794c71c79863f3283,

title = "Using directional curvatures to visualize folding patterns of the GTM projection manifolds",

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.",

keywords = "data visualization, non-linear projection manifolds, directional curvatures, curvature plots, geometry, visualization plots",

author = "Peter Tino and Nabney, {Ian T.} and Yi Sun",

note = "The original publication is available at www.springerlink.com",

year = "2001",

month = jan,

day = "1",

doi = "10.1007/3-540-44668-0_59",

language = "English",

isbn = "3540424865",

volume = "2130",

series = "Lecture Notes in Computer Science",

publisher = "Springer",

pages = "421--428",

editor = "G. Dorffner and H. Bischof and K. Hornik.",

booktitle = "Artificial Neural Networks — ICANN 2001",

}