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math.PR2016
Spectral Bounds in Random Graphs Applied to Spreading Phenomena and Percolation
Rémi Lemonnier, Kevin Scaman, Nicolas Vayatis
In this paper, we derive nonasymptotic theoretical bounds for the influence in random graphs that depend on the spectral radius of a particular matrix, called the Hazard matrix. We…
math.PR2014★ 1 cited
Tight Bounds for Influence in Diffusion Networks and Application to Bond Percolation and Epidemiology
Remi Lemonnier, Kevin Scaman, Nicolas Vayatis
In this paper, we derive theoretical bounds for the long-term influence of a node in an Independent Cascade Model (ICM). We relate these bounds to the spectral radius of a particul…
math.PR2014★ 7 cited
Nonparametric Markovian Learning of Triggering Kernels for Mutually Exciting and Mutually Inhibiting Multivariate Hawkes Processes
Remi Lemonnier, Nicolas Vayatis
In this paper, we address the problem of fitting multivariate Hawkes processes to potentially large-scale data in a setting where series of events are not only mutually-exciting bu…