The shape of a Gaussian mixture is characterized by the probability density of the distance between two samples

Mireille Boutin, Kindyl King, Uli Walther

Let $\mathbf{x}$ be a random variable with density $\rho (x)$ taking values in ${\mathbb{R}}^d$. We are interested in finding a representation for the shape of $\rho (x)$, i.e. for the orbit $\…