Assemblies and the k-Cap Process: The Effects of Locality on Neural Firing Dynamics
The $k$-cap (or $k$-winners-take-all) process is a simple model of firing activity and inhibition in the brain. The process models the formation of neural assemblies, a longstanding proposal for the representation of abstract concepts in the brain. It is applied to a directed graph as follows: in each iteration, a subset of $k$ vertices of the graph are identified as winners; the next round winners are the vertices that have the highest total degree from the current winners, with ties broken randomly. Previous theoretical analyses of neural assemblies model the connectome as a directed Erd\"
Sat, Mar 11, 2023