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We formulate an info-clustering paradigm based on a multivariate information measure, called multivariate mutual information, that naturally extends Shannon’s mutual information between two random variables to the multivariate case involving more than two random variables. With proper model reductions, we show that the paradigm can be applied to study the human genome and connectome in a more meaningful...
Because the exchange of information among all the users in a large network can take a long time, a successive omniscience protocol is proposed. Namely, subgroups of users first recover the information of other users in the same subgroup at an earlier stage called local omniscience. Then, the users recover the information of all other users at a later stage called global omniscience. To facilitate...
The problem of successive omniscience is formulated for the study of a recently proposed multivariate mutual information measure. In this problem, a set of users want to achieve omniscience, i.e., recover the private sources of each other by exchanging messages. However, the omniscience is achieved in a successive manner such that local subgroups of users can first achieve local omniscience, i.e.,...
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