1. A method comprising: accessing a set of historical interpolation results representing sets of interpolated input data derived from historical sets of operative data; applying, by a processor, a set of extraction rules to the set of historical interpolation results to generate a set of interpolation templates; selecting at least one of the set of interpolation templates corresponding to a current set of operative data comprising at least a set of predetermined input data and a set of target output data; applying the at least one of the set of interpolation templates to the current set of operative data to generate a template-derived set of interpolated input data; and initiating further interpolation operations based on the template-derived set of interpolated input data.