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

TL;DR
This paper extends bi-stochaticization analysis of U.S. migration networks to the beta=0 (Itakura-Saito) divergence, revealing new regional clustering patterns and county cosmopolitanism differences compared to previous beta=1 and beta=2 cases.
Contribution
It introduces a heuristic algorithm for beta=0 bi-stochaticization and applies it to U.S. migration data, uncovering novel regional and county-level insights.
Findings
Greater uniformity of entries in beta=0 case.
Identification of more cosmopolitan counties in beta=0 analysis.
Fragmentation of Connecticut counties into smaller clusters.
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, 105,363 of the 735,531 are needed (reflective of greater uniformity of entries) in the beta=0 instance. The North Carolina counties of Mecklenburg (Charlotte) and Wake (Raleigh) are considerably relatively more cosmopolitan in the beta=0 study. The Colorado county of El Paso (Colorado Springs) replaces the Florida…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsRegional Economics and Spatial Analysis · Spatial and Panel Data Analysis · Transportation Planning and Optimization
