Relative Information Loss - An Introduction

arxiv: 1203.6791 · v1 · pith:AUSSW2J6new · submitted 2012-03-30 · 💻 cs.IT · math.IT

Relative Information Loss - An Introduction

Bernhard C. Geiger , Gernot Kubin This is my paper

classification 💻 cs.IT math.IT

keywords informationlossrelativeabsolutebehaviorboundcharacterizeclass

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We introduce a relative variant of information loss to characterize the behavior of deterministic input-output systems. We show that the relative loss is closely related to Renyi's information dimension. We provide an upper bound for continuous input random variables and an exact result for a class of functions (comprising quantizers) with infinite absolute information loss. A connection between relative information loss and reconstruction error is investigated.

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Relative Information Loss - An Introduction

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