Uniform spaces and the Newtonian structure of (big)data affinity kernels

Hugo Aimar, Ivana Gómez

Let $X$ be a (data) set. Let $K(x,y)>0$ be a measure of the affinity between the data points $x$ and $y$. We prove that $K$ has the structure of a Newtonian potential $K(x,y)=φ(d(x…