Graph-Based Change-Point Detection

We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations, is proposed. The graph-based approach is non-parametric, and can be applied to any data set as long as an informative similarity measure on the sample space can be defined. Accurate analytic approximations to the significance of graph-based scan statistics for both the single change-point and the changed interval alternatives are provided. Simulations reveal that the new approach has better power than existing approaches when the dimension of the data is moderate to high. The new approach is illustrated on two applications: The determination of authorship of a classic novel, and the detection of change in a network over time

Geosocial Graph-Based Community Detection

We apply spectral clustering and multislice modularity optimization to a Los Angeles Police Department field interview card data set. To detect communities (i.e., cohesive groups of vertices), we use both geographic and social information about stops involving street gang members in the LAPD district of Hollenbeck. We then compare the algorithmically detected communities with known gang identifications and argue that discrepancies are due to sparsity of social connections in the data as well as complex underlying sociological factors that blur distinctions between communities.Comment: 5 pages, 4 figures Workshop paper for the IEEE International Conference on Data Mining 2012: Workshop on Social Media Analysis and Minin

Graph-Based CPE Matching for Identification of Vulnerable Asset Configurations

In this manuscript, we propose a graph-based approach for identification of vulnerable asset configurations via Common Platform Enumeration matching. The approach consists of a graph model and insertion procedure that is able to represent and store information about CVE vulnerabilities and different configurations of CPE-classified asset components. These building blocks are accompanied with a search query in Gremlin graph traversal language that is able to find all vulnerable pairs of CVEs and asset configurations in a single traversal, as opposed to a conventional brute-force approach

A graph-based mathematical morphology reader

This survey paper aims at providing a "literary" anthology of mathematical morphology on graphs. It describes in the English language many ideas stemming from a large number of different papers, hence providing a unified view of an active and diverse field of research