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Cluster analysis is a family of statistical and computational methods for answering a deceptively simple question: Given a collection of things described by several characteristics, can we discover natural groups among them without deciding beforehand what those groups are? In other words, cluster analysis starts without known labels. You can understand why cluster analysis is…

Last week we stopped because we realized we needed more analysis done on more search lengths to provide a bit more certainty to our tentative conclusions.  Our initial set of runs happened to settle on an inflection at our last search length of 20 tuples.  This week we run the search algorithm with 22-, 24-,…

This week we continue our examination of why some tunes have search patterns that contain terms for which no other tune contains the same set of terms in any order, and why other tunes have search terms found in thousands of other tunes.  We’ll expand upon our 10-term tuples to see how using other search…

Last week we used a 10-tuple length search term to try to figure out why some of those search terms have tuples that appear in thousands of tunes, and why some have few or even none.  We came up with plausible reasons:  Some search terms contain rare tuples that immediately reduce the number of possible…