KMeans on one dimensional data with recursive CTESQL

Compute kmeans thresholds from a table with 2 columns : id (unique) and numeric. Outputs a list. Easy to extend to 2 dimensions data (x,y).

Execute this SQL

CREATE FUNCTION kmeans(tname, idcol_name, numcol_name, bins:=5, maxiter:=100) AS (
WITH RECURSIVE clusters(iter, cid, x) AS ( 
	WITH t1 AS (FROM query_table(tname) SELECT idcol_name AS id, numcol_name AS x)
	(SELECT 0, id, x FROM t1 LIMIT bins-1) 
	UNION ALL 
	SELECT iter + 1, cid, avg(px) FROM ( 
		SELECT iter, cid, p.x as px, 
		rank() OVER (PARTITION BY p.id ORDER BY (p.x-c.x)^2, c.x^2) r
		FROM t1 p, clusters c
	) x 
	WHERE x.r = 1 and iter < maxiter 
	GROUP BY ALL
)
SELECT list(x) FROM 
(FROM clusters WHERE iter = maxiter ORDER BY x)
) ;
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Éric Mauvière

Created 09/17/24