Propagation of Gaussian Belief Functions

Liping Liu

Propagation of Gaussian Belief Functions

Liping Liu

Pre-proceedings of the Fifth International Workshop on Artificial Intelligence and Statistics, PMLR R0:324-330, 1995.

Abstract

Gaussian belief functions are represented in both variable space and configuration space. Their combinations are defined in terms of the Dempster’s rule, sweep operators, and restrictions in configuration space. The equivalence of the alternative definitions is proved. The computation of Gaussian belief functions is shown to follow the Shafer-Shenoy axioms.

Cite this Paper

BibTeX


@InProceedings{pmlr-vR0-liu95a,
  title = 	 {Propagation of {G}aussian Belief Functions},
  author =       {Liu, Liping},
  booktitle = 	 {Pre-proceedings of the Fifth International Workshop on Artificial Intelligence and Statistics},
  pages = 	 {324--330},
  year = 	 {1995},
  editor = 	 {Fisher, Doug and Lenz, Hans-Joachim},
  volume = 	 {R0},
  series = 	 {Proceedings of Machine Learning Research},
  month = 	 {04--07 Jan},
  publisher =    {PMLR},
  pdf = 	 {https://proceedings.mlr.press/r0/liu95a/liu95a.pdf},
  url = 	 {https://proceedings.mlr.press/r0/liu95a.html},
  abstract = 	 {Gaussian belief functions are represented in both variable space and configuration space. Their combinations are defined in terms of the Dempster’s rule, sweep operators, and restrictions in configuration space. The equivalence of the alternative definitions is proved. The computation of Gaussian belief functions is shown to follow the Shafer-Shenoy axioms.},
  note =         {Reissued by PMLR on 01 May 2022.}
}

Endnote

%0 Conference Paper
%T Propagation of Gaussian Belief Functions
%A Liping Liu
%B Pre-proceedings of the Fifth International Workshop on Artificial Intelligence and Statistics
%C Proceedings of Machine Learning Research
%D 1995
%E Doug Fisher
%E Hans-Joachim Lenz	
%F pmlr-vR0-liu95a
%I PMLR
%P 324--330
%U https://proceedings.mlr.press/r0/liu95a.html
%V R0
%X Gaussian belief functions are represented in both variable space and configuration space. Their combinations are defined in terms of the Dempster’s rule, sweep operators, and restrictions in configuration space. The equivalence of the alternative definitions is proved. The computation of Gaussian belief functions is shown to follow the Shafer-Shenoy axioms.
%Z Reissued by PMLR on 01 May 2022.

APA


Liu, L.. (1995). Propagation of Gaussian Belief Functions. Pre-proceedings of the Fifth International Workshop on Artificial Intelligence and Statistics, in Proceedings of Machine Learning Research R0:324-330 Available from https://proceedings.mlr.press/r0/liu95a.html. Reissued by PMLR on 01 May 2022.

Related Material

Download PDF