5 citations · 12 across the 7 of their papers we have counts for
7 papers
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…
Computing large deviation rate functions of entropy production for diffusion processes by an interacting particle method
Zhizhang Wu, Renaud Raquépas, Jack Xin +1
We develop an interacting particle method (IPM) for computing the large deviation rate function of entropy production for diffusion processes, with emphasis on the vanishing-noise…
On the Ziv-Merhav theorem beyond Markovianity II: leveraging the thermodynamic formalism
Nicholas Barnfield, Raphaël Grondin, Gaia Pozzoli +1
We prove asymptotic results for a modification of the cross-entropy estimator originally introduced by Ziv and Merhav in the Markovian setting in 1993. Our results concern a more g…
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…
Large deviations of return times and related entropy estimators on shift spaces
Noé Cuneo, Renaud Raquépas
We prove the large deviation principle for several entropy and cross entropy estimators based on return times and waiting times on shift spaces over finite alphabets. We consider s…
The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions
Renaud Raquépas
We investigate the behaviour of a family of entropy production functionals associated to stochastic differential equations of the form $\mathrm{d} X_s = -\nabla V(X_s) \, \mathrm{d…
On Fermionic walkers interacting with a correlated structured environment
Renaud Raquépas
We study the large-time behaviour of a sample consisting of an ensemble of fermionic walkers on a graph interacting with a structured infinite reservoir of fermions $…