In this note, we consider the problem of classifying the elements of a parameter ensemble from a Bayesian hierarchical model as above or below a given threshold, C. Two threshold classification losses (TCLs)–termed balanced TCL and p-weighted TCL, respectively–are formulated. The p-weighted...

In this short note, we study the properties of the weighted Frechet mean as a convex combination operator on an arbitrary metric space (Y,d). We show that this binary operator is commutative, non-associative, idempotent, invariant to multiplication by a constant weight and possesses an identity...