Mapping Associations - Mapping Scientific Frontiers: The Quest for Knowledge Visualization - page 126

Fig. 3.37 Isomap (K D 6) applied to 2,000 images of a hand in different configurations (Repro-
duced from Supplemental Figure 1 of Tenenbaum et al. ( 2000 ) http://isomap.stanford.edu/handfig.
html )
Fig. 3.38 The color-coding illustrates the neighborhood-preserving mapping discovered by LLE
(Reprinted from Roweis and Saul 2000 )
estimating and preserving global geometry, may distort the local structure of the
data. LLE, based only on local geometry, may distort the global structure.
Given the role of classic PCA and MDS in mapping concepts, the interest in
manifold scaling algorithms is likely to increase in the near future. It is largely
unknown whether typical data structures from concept mapping and the co-citation