Robust Fusion of Uncertain Information

A technique is presented to combine n data points, each available with point-dependent uncertainty, when only a subset of these points come from N ll n sources, where N is unknown. We detect the significant modes of the underlying multivariate probability distribution using a generalization of the nonparametric mean shift procedure. The number of detected modes automatically defiens N, while the appurtenance of a point to the basin of attraction of a mode provides the fusion rule.