Before revision:  If the frequency surrogates are constructed by minimal rational interpolation , frequency and parameters can both be sampled in a greedy fashion, by employing a fully non-intrusive "look-ahead" strategy. We explain how our proposed technique can be applied even in a high-dimensional setting , by employing locally-refined sparse grids  to weaken the curse of dimensionality.
After revision:  If the frequency surrogates are constructed by minimal rational interpolation , frequency and parameters can both be sampled in an adaptive fashion. This, in general, yields frequency surrogates with different numbers of poles, a situation addressed by our proposed algorithm. Moreover, we explain how our proposed technique can be applied even in a high-dimensional setting , by employing locally-refined sparse grids to weaken the curse of dimensionality.