1. A non-transistory computer-readable medium having computer-executable instructions stored thereon that, if executed by a single controller of an adaptive memory system, cause the single controller to perform actions for implementing a data look-ahead training sequence; wherein the adaptive memory system includes a first memory of a first memory type, a second memory of a second memory type, a third memory of a third memory type, an internal bus system, and an external bus interface; and wherein the actions comprise: acquiring one or more sequences of sector data from an application executed by an external computing device; performing data reduction on the one or more sequences of sector data; and storing the reduced sequence data in the first memory or the second memory; wherein performing data reduction on the one or more sequences of sector data includes replacing sequences of unordered sector data with sequences that include ordered ranges of sector data.