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arXiv · 1112.2491

Permutation Excess Entropy and Mutual Information between the Past and Future

Taichi Haruna·Kohei Nakajima
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Abstract

We address the excess entropy, which is a measure of complexity for stationary time series, from the ordinal point of view. We show that the permutation excess entropy is equal to the mutual information between two adjacent semi-infinite blocks in the space of orderings for finite-state stationary ergodic Markov processes. This result may shed a new light on the relationship between complexity and anticipation.

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Taichi Haruna, Kohei Nakajima. 2011-12-12. Permutation Excess Entropy and Mutual Information between the Past and Future. https://arxiv.org/abs/1112.2491

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