Prediction and Generation of Binary Markov Processes: Can a Finite-State Fox Catch a Markov Mouse?

@article{Ruebeck2018PredictionAG,
  title={Prediction and Generation of Binary Markov Processes: Can a Finite-State Fox Catch a Markov Mouse?},
  author={J. Ruebeck and Ryan G. James and John R. Mahoney and James P. Crutchfield},
  journal={Chaos},
  year={2018},
  volume={28 1},
  pages={
          013109
        }
}
Understanding the generative mechanism of a natural system is a vital component of the scientific method. Here, we investigate one of the fundamental steps toward this goal by presenting the minimal generator of an arbitrary binary Markov process. This is a class of processes whose predictive model is well known. Surprisingly, the generative model requires three distinct topologies for different regions of parameter space. We show that a previously proposed generator for a particular set of… 

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