The Past and the Future in the Present
arXiv:1012.0356
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.
7 pages, 1 figure; http://cse.ucdavis.edu/~cmg/compmech/pubs/pafip.htm