An overlay network is augmented to provide more efficient data storage by processing a dataset of high dimension into an equivalent dataset of lower dimension, wherein the data reduction reduces the amount of actual physical data but not necessarily its informational value. Data to be processed (dimensionally-reduced) is received by an ingestion layer and supplied to a learning-based storage reduction application that implements the data reduction technique. The application applies a data reduction algorithm and stores the resulting dimensionally-reduced data sets in the native data storage or third party cloud. To recover the original higher-dimensional data, an associated reverse algorithm is implemented. In general, the application coverts an N dimensional data set to a K dimensional data set, where K