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Abstract:
Diffusion and propagation of information, influence
and diseases take place over increasingly
larger networks. We observe when a node copies
information, makes a decision or becomes infected
but networks are often hidden or unobserved.
Since networks are highly dynamic,
changing and growing rapidly, we only observe
a relatively small set of cascades before a network
changes significantly. Scalable network
inference based on a small cascade set is then
necessary for understanding the rapidly evolving
dynamics that govern diffusion. In this article,
we develop a scalable approximation algorithm
with provable near-optimal performance based
on submodular maximization which achieves a
high accuracy in such scenario, solving an open
problem first introduced by Gomez-Rodriguez
et al. (2010). Experiments on synthetic and real
diffusion data show that our algorithm in practice
achieves an optimal trade-off between accuracy
and running time.