A method for memory scrubbing is provided. In this method, a first resistance of a reference memory element is read. A second resistance of a memory element also is read. A difference between the first resistance and the second resistance is sensed and a programming error associated with the second resistance is detected based on the difference. Each memory element is non-volatile and re-writeable, and can be positioned in a two-terminal memory cell that is one of a plurality of memory cells positioned in a two-terminal cross-point memory array. Active circuitry for performing the memory scrubbing can be fabricated FEOL in a logic layer and one or more layers of the two-terminal cross-point memory arrays can be fabricated BEOL over the logic layer. Each memory cell can optionally include non-ohmic device (NOD) electrically in series with the memory element and the two terminals of the memory cell.