Piecewise bijective functions and continuous inputs

Bernhard C. Geiger*, Gernot Kubin

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Extending the notion of an information loss rate to general processes is not trivial. It is even more difficult than generalizing the concept of information loss from discrete to continuous RVs. In this section we propose one possible generalization, making similar restrictions as in Chap. 3. Specifically, we focus on piecewise bijective functions (PBFs) and continuous-valued, one-dimensional, discrete-time stationary stochastic processes.

Original languageEnglish
Title of host publicationUnderstanding Complex Systems
PublisherSpringer Verlag Heidelberg
Number of pages9
Publication statusPublished - 1 Jan 2018

Publication series

NameUnderstanding Complex Systems
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840

ASJC Scopus subject areas

  • Software
  • Computational Mechanics
  • Artificial Intelligence


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