A system for retrieving stored data includes memory and a processor. The memory stores a first matrix, A, having dimensions n×d, a first sparse matrix, R, and a second sparse matrix, S. The processor receives an input value, k, corresponding to a selected rank to generate a second matrix, AR, by multiplying the first matrix, A, by the first sparse matrix, R. The second matrix, AT, has dimensions n×t. The processor generates a third matrix, SA, by multiplying the second sparse matrix, S, by the first matrix, A. The third matrix, SA, has dimensions t′×n, and the processor generates a fourth matrix, (SAR)−, by calculating a Moore-Penrose pseudo-inverse of a matrix, (SAR), and approximating the first matrix, A by generating a fifth matrix, Ã, the fifth matrix defined as AR×(SAR)−×SA.