Infinite Excess Entropy Processes with Countable-State Generators

Details Infinite Excess Entropy Processes with Countable-State Generators Infinite Excess Entropy Processes with Countable-State Generators

2011-11-14

arxiv.org/abs/1111.3393v1

Computer Science

Information Theory

13 pages, 3 figures; http://csc.ucdavis.edu/~cmg/compmech/pubs/ieepcsg.htm

Scientific paper

We present two examples of finite-alphabet, infinite excess entropy processes generated by invariant hidden Markov models (HMMs) with countable state sets. The first, simpler example is not ergodic, but the second is. It appears these are the first constructions of processes of this type. Previous examples of infinite excess entropy processes over finite alphabets admit only invariant HMM presentations with uncountable state sets.

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