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86                                       Extensions to the Standard PSOM Algorithm




















                                                  Training                      L-PSOM 2x2
                           1
                                                  data 5x5



                                                       1
                                                    0.5
                          -1                      0
                             -0.5
                                   0            -0.5
                                      0.5    -1
                                          1








                                        PSOM 5x5                       C-PSOM 5x5

                          Figure 6.7: a–d; PSOM manifolds with a 5 5 training set. (a)     training points
                          are equidistantly sampled for all PSOMs; (b) shows the resulting mapping of the
                          local PSOM with sub-grid size 
 
. (c) There are little overshoots in the marginal
                          mapping areas of the equidistant spaced PSOM (i) compared to (d) the mapping
                          of the Chebyshev-spaced PSOM (ii) which is for n     already visually identical

                          to the goal map.
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