A0271
Title: Modelling sparse influence networks with Hawkes process while controlling for global influence
Authors: Alexander Kreiss - Leipzig University (Germany) [presenting]
Enno Mammen - Heidelberg University (Germany)
Wolfgang Polonik - University of California at Davis (United States)
Abstract: Vertices are considered in a network who are able to cast events. The neighbors of a given vertex are supposed to take note of the events cast by this vertex and change their own behavior accordingly. The model believes, more precisely, that the activity of one vertex increases the activity of its neighbors. This is called peer effects. However, there might also be other (observed) information which increases or decreases the activity of the vertices. This is called global effects. A Hawkes model is seen, which incorporates both peer and global effects. This allows for the estimation of the network, that is, the influence structure while controlling for network effects or the estimation of the global effects while controlling for peer effects. The estimation is based on a LASSO strategy, which respects sparsity in the network.
