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Calculating the capacity (with or without feedback) of channels with memory and continuous alphabets is a challenging task.
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C. J. Quinn, T.P. Coleman, N. Kiyavash et al. Estimating the directed information to infer causal relationships in ensemble neural spike train recordings. J Comput Neurosci 30, 17–44. June 2010
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H. H. Permuter, Y. H. Kim, and T. Weissman. Interpretations of directed information in portfolio theory, data compression, and hypothesis testing. IEEE Trans. Inf. Theory 57.6: 3248-3259. June 2011
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Z. Aharoni, O. Sabag, and H. H. Permuter. Computing the Feedback Capacity of Finite State Channels using Reinforcement Learning. 2019 IEEE International Symposium on Information Theory (ISIT). IEEE, 2019
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