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One approach to monitoring a dynamic system relies on decomposition of thesystem into weakly interacting subsystems. An earlier paper introduced a notionof weak interaction called separability, and showed that it leads to exactpropagation of marginals for prediction. This paper addresses two questionsleft open by the earlier paper: can we define a notion of approximateseparability that occurs naturally in practice, and do separability andapproximate separability lead to accurate monitoring? The answer to bothquestions is afirmative. The paper also analyzes the structure of approximatelyseparable decompositions, and provides some explanation as to why these modelsperform well.

Approximate Separability for Weak Interaction in Dynamic Systems