2 papers
cs.IT2026
Stability of the Shannon--McMillan--Breiman Theorem under Sublinear Parsings
Raphael Grondin
We establish a stability result for the Shannon-McMillan-Breiman theorem on the one-sided finite shift space. For any shift-invariant probability measure P and any data-dependent p…
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…