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A Further (Itakura-Saito/beta=0) Bi-stochaticization and Associated Clustering/Regionalization of the 3,107-County 1995-2000 U. S. Migration Network | Paul B. Slater
; | Date: |
5 Oct 2012 | Abstract: | We extend to the beta-divergence (Itakura-Saito) case beta =0, the
comparative bi-stochaticization analyses-previously conducted (arXiv:1208.3428)
for the (Kullback-Leibler) beta=1 and (squared-Euclidean) beta = 2 cases -of
the 3,107 - county 1995-2000 U. S. migration network. A heuristic, "greedy"
algorithm is devised. While the largest 25,329 entries of the 735,531 non-zero
entries of the bi-stochasticized table - in the beta=1 case - are required to
complete the widely-applied two-stage (double-standardization and
strong-component hierarchical clustering) procedure, 88,655 of the 735,531 are
needed in the beta=0 instance. The relative cosmopolitanism (hub-like behavior)
of Southern California vs. Florida counties is greater in the beta =0 than
beta=1 analyses. The North Carolina counties of Mecklenburg (Charlotte) and
Wake (Raleigh) are considerably relatively more cosmopolitan in the beta=0
study. In both regionalizations, however, the Florida Atlantic county of
Brevard (the "Space Coast") is the most cosmopolitan. | Source: | arXiv, 1210.1840 | Services: | Forum | Review | PDF | Favorites |
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