Overview | HNet | Performance Aspects | Mathematics | Biology

A recall operation invokes a deterministic response to each of the memory traces (indexed by t ) that have been learned and superimposed within the cells cortical memory.  Prior learned memories that resemble the current stimulus input issue the dominant responses within R’.  Mathematically the generated response is shown as follows:

Complex scalars exhibit an interesting property in that multiply operations induce rotation in phase.  What occurs during response recall is phase alignment through rotation.  This alignment occurs, however, for only those memory traces that most resemble the current input stimuli.  Phase angle alignment (phase coherence) generates the dominant contribution in the response, while remaining memory traces undergo misalignment (phase decoherence) producing a far smaller residual.  The net effect is that the correct response is produced when the holographic assembly is exposed to any prior learned stimuli.

The phase coherence/decoherence principle is illustrated for stimulus learned at t1.  Each prior learned stimulus-response pattern may be recalled quite accurately following even a single training exposure, and again, all memory traces reside concurrently within the same set of computer bytes (cortical memory elements).

HNeT operation is based upon the above phase coherence principle however utilizes far more sophisticated and powerful non-linear methods.