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Recovering time-varying networks of dependencies in social and biological studiesby: Amr Ahmed, Eric P. Xing
Proceedings of the National Academy of Sciences, Vol. 106, No. 29. (21 July 2009), pp. 11878-11883.
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Abstract10.1073/pnas.0901910106 A plausible representation of the relational information among entities in dynamic systems such as a living cell or a social community is a stochastic network that is topologically rewiring and semantically evolving over time. Although there is a rich literature in modeling static or temporally invariant networks, little has been done toward recovering the network structure when the networks are not observable in a dynamic context. In this article, we present a machine learning method called TESLA, which builds on a temporally smoothed -regularized logistic regression formalism that can be cast as a standard convex-optimization problem and solved efficiently by using generic solvers scalable to large networks. We report promising results on recovering simulated time-varying networks and on reverse engineering the latent sequence of temporally rewiring political and academic social networks from longitudinal data, and the evolving gene networks over >4,000 genes during the life cycle of from a microarray time course at a resolution limited only by sample frequency.
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