Computer-implemented systems and methods for constructing a reduced input space utilizing the rejected variable space

Computer-implemented systems and methods are provided for generating a data model. A variable predictiveness determination is performed on the population of candidate variables. A plurality of variables from the population of candidate variables are selected as a selected set based on the variable predictiveness values. A plurality derived variables are generated based on variables in the rejected set without consideration of any variables in the selected set. One or more derived variables are selected as based on derived variable predictiveness values of the derived variables, and the selected set and the one or more selected derived variables are stored as the model input variables for the data model.