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
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Cited by in corpus (4)
- The Elusive Present: Hidden Past and Future Dependency and Why We Build Models
- Equality conditions for internal entropies of certain classical and quantum models
- Circumventing the Curse of Dimensionality in Prediction: Causal Rate-Distortion for Infinite-Order Markov Processes
- The Origins of Computational Mechanics: A Brief Intellectual History and Several Clarifications