On the Ziv-Merhav theorem beyond Markovianity
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866911496659795968 |
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| author | Barnfield, Nicholas Grondin, Raphaël Pozzoli, Gaia Raquépas, Renaud |
| author_facet | Barnfield, Nicholas Grondin, Raphaël Pozzoli, Gaia Raquépas, Renaud |
| contents | 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 Markov measures. The result covers pairs of suitably regular g-measures and pairs of equilibrium measures arising from the small space of interactions in mathematical statistical mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01367 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Ziv-Merhav theorem beyond Markovianity Barnfield, Nicholas Grondin, Raphaël Pozzoli, Gaia Raquépas, Renaud Information Theory Dynamical Systems Probability 94A17, 37M25, 37B10 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 Markov measures. The result covers pairs of suitably regular g-measures and pairs of equilibrium measures arising from the small space of interactions in mathematical statistical mechanics. |
| title | On the Ziv-Merhav theorem beyond Markovianity |
| topic | Information Theory Dynamical Systems Probability 94A17, 37M25, 37B10 |
| url | https://arxiv.org/abs/2310.01367 |