# 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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