e/Fréchet mean

Information
has gloss	eng: The Fréchet mean, also known as the Karcher mean, is the point, x, that minimizes the sum of the squared distance to each point in a set of points. Weights may be given to each squared distance, giving the weighted Fréchet mean. In Euclidean space, this is simply the (weighted) arithmetic mean. However, in spaces for which adding distances is ill-defined, such as on a Riemannian manifold, or, more generally, a metric space, the Fréchet mean may still be defined. In symbols: :m = \operatornamearg}\min_\!\!\!\!\!\!\!\!\!\!\!\!\!\!x\in M} \sum_i=1}^N w_i d^2(x,x_i).
lexicalization	eng: Fréchet mean
instance of	(noun) a statistic describing the location of a distribution; "it set the norm for American homes" norm, average