Lossy Asymptotic Equipartition property for Hierarchical Data Structures
Information Theory
2017-12-19 v2 math.IT
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.
Cite
@article{arxiv.1608.04154,
title = {Lossy Asymptotic Equipartition property for Hierarchical Data Structures},
author = {Kwabena Doku-Amponsah},
journal= {arXiv preprint arXiv:1608.04154},
year = {2017}
}
Comments
7 pages