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arxiv: 1608.04154 · v2 · pith:FTWE42R6new · submitted 2016-08-14 · 💻 cs.IT · math.IT

Lossy Asymptotic Equipartition property for Hierarchical Data Structures

classification 💻 cs.IT math.IT
keywords processasymptoticdataequipartitionhierarchicalpropertystructuresdefined
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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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