Piecewise bijective functions and continuous inputs

Bernhard C. Geiger, Gernot Kubin

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

Abstract

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
Pages105-113
Number of pages9
Edition9783319595320
DOIs
Publication statusPublished - 1 Jan 2018

Publication series

NameUnderstanding Complex Systems
Number9783319595320
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840

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Random processes

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

Piecewise bijective functions and continuous inputs. / Geiger, Bernhard C.; Kubin, Gernot.

Understanding Complex Systems. 9783319595320. ed. Springer Verlag Heidelberg, 2018. p. 105-113 (Understanding Complex Systems; No. 9783319595320).

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

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