Latent self-exciting point process model for spatial-temporal networks
- Author(s): Cho, YS;
- Galstyan, A;
- Brantingham, PJ;
- Tita, G
- et al.
Published Web Locationhttps://doi.org/10.3934/dcdsb.2014.19.1335
We propose a latent self-exciting point process model that describes geographically distributed interactions between pairs of entities. In contrast to most existing approaches that assume fully observable interactions, here we consider a scenario where certain interaction events lack information about participants. Instead, this information needs to be inferred from the available observations. We develop an efficient approximate algorithm based on variational expectation-maximization to infer unknown participants in an event given the location and the time of the event. We validate the model on synthetic as well as real-world data, and obtain very promising results on the identity-inference task. We also use our model to predict the timing and participants of future events, and demonstrate that it compares favorably with baseline approaches.