1. A method, comprising: accessing, by an interpolation engine running on a computing device, a set of combined input data comprising a set of predetermined input data and a set of interpolated input data, the set of interpolated input data being generated to conformally map the set of combined input data to a set of target output data and comprising a set of variables; performing, by the interpolation engine, a variational analysis on at least a first variable in the set of variables, wherein the variational analysis comprises applying a perturbation to the at least first variable; determining a change in at least one remaining variable in the set of variables caused by the variational analysis performed on the at least first variable; and applying a set of validation rules to the change in the at least one remaining variable to validate or reject a value of the at least first variable.