  An ensemble of quasi-periodic discrete Schr\"{o}dinger operators with an
arbitrary number of basic frequencies is considered, in a lattice of arbitrary
dimension, in which the hull function is a realisation of a stationary Gaussian
process on the torus. We show that, for almost every element of the ensemble,
the quasi-periodic operator boasts Anderson localization with simple pure point
spectrum at strong coupling. One of the ingredients of the proof is a new lower
bound on the interpolation error for stationary Gaussian processes on the torus
(also known as local non-determinism).
