  We introduce an asymptotic small noise expansion, a so called vol-of-vol
expansion, for potentially infinite dimensional and rough stochastic volatility
models. Thereby we extend the scope of existing results for finite dimensional
models and validate claims for infinite dimensional models. Furthermore we
provide new, explicit (in the sense of non-recursive) representations of the
so-called push-down Malliavin weights that utilizes a precise understanding of
the terms of this expansion.
