Piecewise bijective functions and continuous inputs

Bernhard C. Geiger, Gernot Kubin

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-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

Cite this

Geiger, B. C., & Kubin, G. (2018). Piecewise bijective functions and continuous inputs. In Understanding Complex Systems (9783319595320 ed., pp. 105-113). (Understanding Complex Systems; No. 9783319595320). Springer Verlag Heidelberg. https://doi.org/10.1007/978-3-319-59533-7_7