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arxiv: 1012.0356 · v1 · pith:JBG4T5YGnew · submitted 2010-12-02 · 🌊 nlin.CD · cs.IT· math.DS· math.IT· math.ST· stat.TH

The Past and the Future in the Present

classification 🌊 nlin.CD cs.ITmath.DSmath.ITmath.STstat.TH
keywords excessinformationpastaccurateallowsanalysiscalculationcausal
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We show how the shared information between the past and future---the excess entropy---derives from the components of directional information stored in the present---the predictive and retrodictive causal states. A detailed proof allows us to highlight a number of the subtle problems in estimation and analysis that impede accurate calculation of the excess entropy.

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