Electrocatalysis of Hydrogen Evolution Reaction with metal oxides
You can use a similar, DFT-based approach to estimating the electrocatalytic activity of oxides, as has been done with the oxygen evolution reaction, but since most oxides are not stable at reducing conditions present in HER, there's not as much literature on that particular material-reaction pairing.  As an aside, a popular theory of metal-adsorbate bond formation, the d-band model was formulated specifically for metals, so the question as to whether or not there's a model with comparable simplicity that includes oxides (or other binary compounds) is still somewhat of an open question.