Timeline for Does clustering actually reduce the number of rows in a dataset?

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Jun 25 at 3:27	history	edited	kjetil b halvorsen♦		edited tags
Jun 22 at 11:53	comment	added	whuber♦		Furthermore, if one were to replace each cluster by a linear combination of its elements (such as their barycenter, which is the arithmetic mean), that would be mathematically the transpose of the linear combinations occurring in PCA, but with an important restriction: all the nonzero coefficients in each linear combination would occur within a single cluster. If one were to enforce that in a dimensionality reduction algorithm it would probably be characterized as "clustering" of the variables. Thus, there is a mathematically superficial similarity.
Jun 22 at 11:13	answer	added	Peter Flom		timeline score: 2
Jun 22 at 11:06	history	migrated			from math.stackexchange.com (revisions)
Jun 21 at 0:53	answer	added	ConMan		timeline score: 2
Jun 20 at 20:50	comment	added	PhoemueX		Yes, you are right. Of course, one could just retain only one row from each cluster. If doing so makes sense depends on the task at hand.
Jun 20 at 18:55	history	asked	Leox	CC BY-SA 4.0