Characteristics of multidimensional holographic associative memory in retrieval with dynamically localizable attention.

This paper presents the performance analysis (capacity and retrieval accuracy) of multidimensional holographic associative memory (MHAC). MHAC has the unique ability to retrieve pattern-associations with changeable attention. In attention actuated retrieval the user can dynamically select any subset of the elements in the example query pattern and expect the memory to confine its associative match only within the specified field of attention. Existing artificial associative memories lack this ability. Also most of these models need at least 50% of bits in the input pattern to be correct for successful retrieval. MHAC, with the unique ability of localizable attention, can retrieve information correctly even with cues as small as 10% of the query frame. This paper investigates the performance of MHAC in attention actuated retrieval both analytically and experimentally. Besides confirmation, the experiments also identify an operational range space (ORS) for this memory within which various attention based applications can be built with a performance guarantee.