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Is there any current, ongoing, research being performed, looking specifically at implementing prediction models on a distributed system? I'm specifically interested in work where the underlying system can be modeled as a network of devices that has significant churn in terms of connections between the nodes, and nodes joining/leaving the network (for example, a peer-to-peer network).

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There is no information about any particular prediction model in your request, therefore, I think you should look through the paper "PLDA: Parallel Latent Dirichlet Allocation for Large-scale Applications" (2009) of Google researchers. See also their project on Google Code.

Besides, Google Prediction API project might be valuable resource related to the topic, too.

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