Abstract: Systems and methods are provided for performing at least one operation using data in a preferred data layout, while preserving the ability to access the data in an original data layout. The preferred data layout may be independent of the original data layout. The preferred data layout may be selected based on at least one of a characteristic of the data, a characteristic of the computing environment or computing device(s) implementing the computing environment, a characteristic of the at least one operation, or historical performance data. The data may be rearranged or permuted into the preferred layout. A mapping may be determined between the preferred layout and the original layout. During performance of the at least one operation using the data in the preferred layout, another operation may use the mapping to access the data in the original layout.