Systems and methods for data storage and retrieval using data model mapping. Statements may be presented to the system based on different schema and data models. Algebraic relations between data sets may be composed from the statements. Mappings are provided between the different schema and data models to allow algebraic relations based on one schema and data model to be used in providing a requested data set based on a different schema and data model. Algebraic optimization may also be performed to select among algebraic relations to be used for providing the requested data set, including algebraic relations based on different schemas and data models. As a result, optimization may be performed across a broader set of possible algebraic relations to provide the requested data set.