Relative Information Loss - An Introduction

Bernhard C. Geiger; Gernot Kubin

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arXiv · 1203.6791

Relative Information Loss - An Introduction

Bernhard C. Geiger·Gernot Kubin

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Abstract

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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Bernhard C. Geiger, Gernot Kubin. 2012-03-30. Relative Information Loss - An Introduction. https://arxiv.org/abs/1203.6791

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