  We present an overview of the construction of the general holographic
dictionary for asymptotically locally Lifshitz and hyperscaling violating
Lifshitz backgrounds with arbitrary dynamical exponents $z$ and $\theta$,
compatible with the null energy condition, which was recently developed in
[1,2]. A concrete definition of asymptotically locally Lifshitz and
hyperscaling violating Lifshitz backgrounds is provided in the context of a
generic bottom-up Einstein-Proca-Dilaton theory, and a systematic procedure for
solving the radial Hamilton-Jacobi equation via a covariant expansion in
eigenfunctions of two commuting operators is presented. The resulting
asymptotic solution of the Hamilton-Jacobi equation is subsequently used to
derive the full holographic dictionary, including the Fefferman-Graham
asymptotic expansions and the non-relativistic holographic Ward identities.
