Mechanisms for performing all-to-all comparisons on architectures having limited storage space are provided. The mechanisms determine a number of data elements to be included in each set of data elements to be sent to each processing element of a data processing system, and perform a comparison operation on at least one set of data elements. The comparison operation comprises sending a first request to main memory for transfer of a first set of data elements into a local memory associated with the processing element and sending a second request to main memory for transfer of a second set of data elements into the local memory. A pair wise comparison computation of the all-to-all comparison of data elements operation is performed at approximately a same time as the second set of data elements is being transferred from main memory to the local memory.