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Collective Graphical Models

TitleCollective Graphical Models
Publication TypeConference Paper
Year of Publication2011
AuthorsSheldon, D. R., and T. G. Dietterich
Conference Name2011 Conference on Neural Information Processing Systems (NIPS-2011)
Date Published12/2011
Conference LocationGranada, Spain

There are many settings in which we wish to fit a model of the behavior of individuals but where our data consist only of aggregate information (counts or low-dimensional contingency tables). This paper introduces Collective Graphical Models — a framework for modeling and probabilistic inference that operates directly on the sufficient statistics of the individual model. We derive a highly-efficient Gibbs sampling algorithm for sampling from the posterior distribution of the sufficient statistics conditioned on noisy aggregate observations, prove its correctness, and demonstrate its effectiveness experimentally.