Entangled hidden elephant random walk model

Abdessatar Souissi; Farrukh Mukhamedov; El Gheteb Soueidi; Mohamed Rhaima; Farzona Mukhamedova

doi:10.1016/j.chaos.2024.115252

Entangled hidden elephant random walk model

Abdessatar Souissi, Farrukh Mukhamedov, El Gheteb Soueidi, Mohamed Rhaima, Farzona Mukhamedova

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Entangled hidden Markov models (EHMMs) extend classical hidden Markov models into the quantum domain, while elephant random walks (ERWs) are globally inhomogeneous Markov processes with memory-dependent steps. In this paper, we propose a novel approach that combines EHMMs with ERWs. Our focus is on exploring the correlations within an EHMM associated with the ERW dynamics. Moreover, we show that its restriction to a maximal diagonal subalgebra defines an inhomogeneous HMM, and we compute a formula for its mean entropy.

Original language	English
Article number	115252
Journal	Chaos, Solitons and Fractals
Volume	186
DOIs	https://doi.org/10.1016/j.chaos.2024.115252
Publication status	Published - Sept 2024

Keywords

Elephant random walk
Entanglement
Entropy
Hidden Markov model
Statistical model

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2024.115252

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title = "Entangled hidden elephant random walk model",

abstract = "Entangled hidden Markov models (EHMMs) extend classical hidden Markov models into the quantum domain, while elephant random walks (ERWs) are globally inhomogeneous Markov processes with memory-dependent steps. In this paper, we propose a novel approach that combines EHMMs with ERWs. Our focus is on exploring the correlations within an EHMM associated with the ERW dynamics. Moreover, we show that its restriction to a maximal diagonal subalgebra defines an inhomogeneous HMM, and we compute a formula for its mean entropy.",

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AU - Souissi, Abdessatar

AU - Mukhamedov, Farrukh

AU - Soueidi, El Gheteb

AU - Rhaima, Mohamed

AU - Mukhamedova, Farzona

PY - 2024/9

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AB - Entangled hidden Markov models (EHMMs) extend classical hidden Markov models into the quantum domain, while elephant random walks (ERWs) are globally inhomogeneous Markov processes with memory-dependent steps. In this paper, we propose a novel approach that combines EHMMs with ERWs. Our focus is on exploring the correlations within an EHMM associated with the ERW dynamics. Moreover, we show that its restriction to a maximal diagonal subalgebra defines an inhomogeneous HMM, and we compute a formula for its mean entropy.

KW - Elephant random walk

KW - Entanglement

KW - Entropy

KW - Hidden Markov model

KW - Statistical model

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VL - 186

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 115252

ER -

Entangled hidden elephant random walk model

Abstract

Keywords

ASJC Scopus subject areas

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