Attribute data structures can be updated to indicate joint relationships among attributes and predictive outputs in training data that can be used for training automated modeling system. A data structure that stores training data for training an automated modeling algorithm can be accessed. The training data can include first data for a first attribute and second data for a second attribute. The data structure can be modified to include a derived attribute that indicates a joint relationship among the first attribute, the second attribute, and a predictive output variable. The automated modeling algorithm can be trained with the first attribute, the second attribute, and the derived attribute.