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—Hypothesis testing on time series of attributed graphs has applications in diverse areas, e.g., social network analysis (wherein vertices represent individual actors or organizations), connectome inference (wherein vertices are neurons or brain regions) and text processing (wherein vertices represent authors or documents). We consider the problem of… (More)

Corollary 2: The maximizer of µ λ also maximizes µ 2 λ = λ T ζζ T λ λ T ξλ Because ξ is positive definite, there exists a positive definite matrix ξ 1/2 such that ξ 1/2 ξ 1/2 = ξ. Letting ν = ξ 1/2 λ, the above expression can be rewritten as µ 2 λ = ν T ξ −1/2 ζζ T ξ −1/2 ν ν T ν The claim then follows directly from the Rayleigh-Ritz theorem for Hermitian… (More)

- Nam H Lee, Tim S T Leung, Carey E Priebe
- 2011

This paper studies a problem of identifying an inhomogeneous interaction structure amongst social agents. We construct a random graph based on the messaging activities which are modeled as observations from a self-exciting point process. We design a methodology that divides the agents into two disjoint groups so that members within each group are considered… (More)

- Nam H Lee, Carey E Priebe, Minh Tang
- 2011

—This paper studies the problem of identifying an inhomogeneous interaction structure amongst social agents. We construct the social network by a random graph and model the messaging activities via a multi-channel self-exciting point process. We design a methodology that divides the agents into two disjoint groups so that members within each group are… (More)

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