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Diagnostics and Visualization of Point Process Models for Event Times on a Social Network

2020/01/25 by Jing Wu, Wu, Jing, Anna L. Smith +3 · 1 citation
Engineering · Mathematics · #Algorithm #Applications (stat.AP) #Business process modeling #Cluster analysis #Computer science #Data mining #Data science #Data visualization #Engineering #Event (particle physics) #Event data #FOS: Computer and information sciences #Machine learning #Mathematics #Point (geometry) #Point process #Point processes and geometric inequalities #Process (computing) #Process mining #Process modeling #Residual #Set (abstract data type) #Social media #Social network (sociolinguistics) #Social network analysis #Statistics #Visualization #Work in process #World Wide Web #stat.AP

paper · pdf · doi:10.48550/arxiv.2001.09359

published in arXiv (Cornell University) (Cornell University)

arxiv created 2020/01/25 · openalex publication_date 2020/01/25 · arxiv updated 2020/01/28 · openalex created_date 2020/01/30 · openalex updated_date 2026/08/08

Abstract

Point process models have been used to analyze interaction event times on a social network, in the hope to provides valuable insights for social science research. However, the diagnostics and visualization of the modeling results from such an analysis have received limited discussion in the literature. In this paper, we develop a systematic set of diagnostic tools and visualizations for point process models fitted to data from a network setting. We analyze the residual process and Pearson residual on the network by inspecting their structure and clustering structure. Equipped with these tools, we can validate whether a model adequately captures the temporal and/or network structures in the observed data. The utility of our approach is demonstrated using simulation studies and point process models applied to a study of animal social interactions.

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