Guesswork and entropy |
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Authors: | Malone D. Sullivan W.G. |
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Affiliation: | Commun. Network Res. Inst., Dublin Inst. of Technol., Ireland; |
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Abstract: | We derive the moments of the guesswork , the number of attempts required to correctly guess the output of a random source, for a source determined by a Markov chain via a large deviations type estimate. These moments are related to the Perron-Frobenius eigenvalue of the matrix formed by element-wise powers of the Markov chain's transition matrix. |
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