Title :
Continuum model for quadratic memories
Author :
Loos, Hendricus G.
Author_Institution :
Laguna Res. Lab., Fallbrook, CA, USA
Abstract :
Quadratic Hadamard memories are investigated with the continuum model by means of theory and numerical computation. The memory serves as the second stage in a selective reflexive memory (SRM). The first stage of the SRM transforms the bipolar input into a linear combination of Hadamard vectors. The second stage selects from this linear combination the dominant Hadamard vector. Upon return of this vector to the front stage, a backstroke produces the stored vector which is labeled by the Hadamard vector selected. It is found that any SRM of dimension N that is a power of 2 performs perfect associative recall of up to N stored bipolar vectors for a certain choice of gain and the coupling between the two stages. This theoretical result is confirmed by numerical computations for N=8 and 16
Keywords :
content-addressable storage; neural nets; vectors; associative memory; bipolar vectors; continuum model; neural nets; quadratic Hadamard memory; selective reflexive memory; Associative memory; Circuit faults; Fault tolerance; Laboratories; Magnesium compounds; Performance gain; Subspace constraints; Vectors;
Conference_Titel :
Neural Networks, 1991., IJCNN-91-Seattle International Joint Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-0164-1
DOI :
10.1109/IJCNN.1991.155352
