Hypergraphs: Organizing complex natural neural networks

Abstract

Data from neuroscience research has shown that the brain can be studied as a neural network. In view of the brain's seemingly infinite complexity, we organize the entire network into a series of sub-networks, each of whose functionalities combine to become the knowledge representation capability of the entire network. Thus, we look at the brain in terms of modules and sub-modules, at varying levels of `granularity'. Since a network can be mathematically represented as a graph, this hierarchical structure is captured through the notion of `hypergraphs' and `hyper-matrices'. The proposed structure has been implemented on a graph specification software tool. Finally, a metaphoric visualization for the structure was proposed