The present disclosure relates to systems and methods for classifying data sets using associated functions from neural networks. In one example, a system for classifying data sets by corresponding functions includes at least one processor and at least one non-transitory memory storing instructions that, when executed by the at least one processor cause the system to perform operations including: obtaining a neural network associated with a data set, the neural network being trained to generate synthetic data sets related to the data set; selecting a test set of inputs to the neural network; obtaining a corresponding set of outputs by applying the neural network to the test set of inputs; estimating one or more functions describing the test set of inputs and the corresponding set of outputs; and indexing the estimated one or more functions to the data.