Barycenter

Barycenter
The barycenter of a set of points is just its center of gravity. Points often carry "weights", and different points carry different weights (this is the case, for example, in Correspondence Analysis).

In geometry, the centroid or barycenter of an object $X$ in$ n$ -dimensional\; space\; is\; the\; intersection\; of\; all\; hyperplanes\; that\; divide$ X$ into\; two\; parts\; of\; equal\; moment\; about\; the\; hyperplane.$$$$$$

At this point we need to re-calculate k new centroids as barycenters of the clusters resulting from the previous step. After we have these k new centroids, a new binding has to be done between the same data set points and the nearest new centroid.

Two bodies with a slight difference in mass orbiting around a common barycenter. ... Description Role: Lunar landing Crew: 2; CDR, LM pilot Dimensions Height: 20. ... is the 284th day of the year (285th in leap years) in the Gregorian calendar. ...

See also: Variance, Covariance, Density, Regression, Distribution