[scikit-learn] CLUSTER ANALYSIS AND THE SEARCH OF A SAMPLE MODE

[Ulderico Santarelli]

      *I am an old guy who started programming around the seventies of the
last century* with ASSEMBLER 360, then FORTRAN, PL1, APL, IBM APPLICATION
SYSTEM and, last, the marvelous SAS. Having heard around about the
powerful, flexible, functionally complete PYTHON UNIVERSE”, encompassing an
advanced Object-Oriented Language and a very wide family of packages, I
decided to run an exercise about a problem I've been tackling since my
youth (have a look at the Bibliography). I succeeded in completing it in a
few days and I'm attaching my solution to the problem of finding the points
in a sample that are "central" in a surrounding topological neighborhood.
They are eligible as centroids for a Cluster Analysis after the aggregation
of "too near points'. The solution is based on the search of
potential wells in a suitable potential field, similar to the one all of us
studied in high school. Therefore, too near points may be in the same
potential well.
No more words, have a look at the attachment.
My coding is that of a beginner. I'm sure everybody would find more
efficient coding.  As a comment: I started studying Python around May 15th
2023.
My best regards.
Ulderico Santarelli.
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