 We characterize conditions on the metric entropy  such that oracle rates---rates of the same order as if we knew the nuisance model---are achieved.
<meaning-changed>  We characterize conditions on the metric entropy  such that oracle rates---rates of the same order as if we knew the nuisance model---are achieved.
 We characterize conditions on the metric entropy of the nuisance and target classes such that oracle rates---rates of the same order as if we knew the nuisance model---are achieved.