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cs.IT2024
Ziv-Merhav estimation for hidden-Markov processes
Nicholas Barnfield, Raphaël Grondin, Gaia Pozzoli +1
We present a proof of strong consistency of a Ziv-Merhav-type estimator of the cross entropy rate for pairs of hidden-Markov processes. Our proof strategy has two novel aspects: th…
cs.IT2023★ 2 cited
On the Ziv-Merhav theorem beyond Markovianity
Nicholas Barnfield, Raphaël Grondin, Gaia Pozzoli +1
We generalize to a broader class of decoupled measures a result of Ziv and Merhav on universal estimation of the specific cross (or relative) entropy for a pair of multi-level Mark…