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arXiv · 1012.0356

The Past and the Future in the Present

James P. Crutchfield·Christopher J. Ellison
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Abstract

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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James P. Crutchfield, Christopher J. Ellison. 2010-12-02. The Past and the Future in the Present. https://arxiv.org/abs/1012.0356

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