Information storage and retrieval analysis of hierarchically coupled associative memories

This paper presents information storage and retrieval analysis as well as energy analysis of a multi-level or hierarchically coupled associative memory based on coupled generalised-brain-state-in-a-box (GBSB) neural networks. In this model, the memory processes are described as being organised functionally in hierarchical levels where higher levels coordinate sets of functions of the lower levels. We consider the case where lowest level subnetworks have predefined attractors, prior to imposing their association through imprinting synapses between them. Simulations are carried out using linearly independent (Li) and orthogonal vectors considering a wide range of parameters. The results obtained show that, even when the neural networks are weakly coupled, the system still presents a significant convergence to global patterns, mainly in orthogonal vectors.