Partial Trajectory Mutual Information Flow in a Small Point Process Network

Abstract

Network system identification of node to node dynamics requires a study of information flows between nodes. Such flows can be measured by trajectory mutual information. But since the interaction between any pair of nodes is affected by other nodes one needs to adjust for those other nodes. Here, for the first time, we develop such a partial measure of trajectory mutual information between point processes and illustrate its use in simulation and on real data.