D-Separation for the Strong Extension and the Main Natural Extension of a Credal Network
Abstract
In the paper, we consider two possible extensions of a credal network: the strong extension and the main natural extension. We prove that for both extensions the condition of the $d$-separation is preserved. The proof is based on some properties of conditional independence in such credal networks.
Cite
Text
Bronevich and Rozenberg. "D-Separation for the Strong Extension and the Main Natural Extension of a Credal Network." Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications, 2025.Markdown
[Bronevich and Rozenberg. "D-Separation for the Strong Extension and the Main Natural Extension of a Credal Network." Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications, 2025.](https://mlanthology.org/isipta/2025/bronevich2025isipta-dseparation/)BibTeX
@inproceedings{bronevich2025isipta-dseparation,
title = {{D-Separation for the Strong Extension and the Main Natural Extension of a Credal Network}},
author = {Bronevich, Andrey G. and Rozenberg, Igor N.},
booktitle = {Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications},
year = {2025},
pages = {23-32},
volume = {290},
url = {https://mlanthology.org/isipta/2025/bronevich2025isipta-dseparation/}
}