TY - JOUR
T1 - Using directional curvatures to visualize folding patterns of the GTM projection manifolds
AU - Tino, P.
AU - Nabney, I.
AU - Sun, Yi.
N1 - Paper presented at ICANN 2001: Procs of the Int Conf on Artificial Neural Networks
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
U2 - 10.1007/3-540-44668-0_59
DO - 10.1007/3-540-44668-0_59
M3 - Article
SN - 0302-9743
VL - 2130
SP - 421
EP - 428
JO - Lecture Notes in Computer Science (LNCS)
JF - Lecture Notes in Computer Science (LNCS)
T2 - ICANN 2001: Int Conf on Artificial Neural Networks
Y2 - 21 August 2001 through 25 August 2001
ER -