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cs.IT2011
Infinite Excess Entropy Processes with Countable-State Generators
Nicholas F. Travers, James P. Crutchfield
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 examp…
math.PR2011★ 9 cited
Equivalence of History and Generator Epsilon-Machines
Nicholas F. Travers, James P. Crutchfield
Epsilon-machines are minimal, unifilar presentations of stationary stochastic processes. They were originally defined in the history machine sense, as hidden Markov models whose st…