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arXiv · 1608.04154

Lossy Asymptotic Equipartition property for Hierarchical Data Structures

Kwabena Doku-Amponsah
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Abstract

This paper presents a rate-distortion theory for hierarchical networked data structures modelled as tree-indexed multitype process. To be specific, this paper gives a generalized Asymptotic Equipartition Property (AEP) for the Process. The general methodology of proof of the AEP are process level large deviation principles for suitably defined empirical measures for muiltitype Galton-Watson trees.

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Kwabena Doku-Amponsah. 2016-08-27. Lossy Asymptotic Equipartition property for Hierarchical Data Structures. https://doi.org/10.17654/ms101051013

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