Markov conditions and factorization in logical credal networks

Fabio Gagliardi Cozman
Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications, PMLR 215:130-140, 2023.

Abstract

We examine the recently proposed language of Logical Credal Networks, in particular investigating the consequences of various Markov conditions. We introduce the notion of structure for a Logical Credal Network and show that a structure without directed cycles leads to a well-known factorization result. For networks with directed cycles, we analyze the differences between Markov conditions, factorization results, and specification requirements.

Cite this Paper

BibTeX
@InProceedings{pmlr-v215-cozman23a, title = {Markov conditions and factorization in logical credal networks}, author = {Cozman, Fabio Gagliardi}, booktitle = {Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications}, pages = {130--140}, year = {2023}, editor = {Miranda, Enrique and Montes, Ignacio and Quaeghebeur, Erik and Vantaggi, Barbara}, volume = {215}, series = {Proceedings of Machine Learning Research}, month = {11--14 Jul}, publisher = {PMLR}, pdf = {https://proceedings.mlr.press/v215/cozman23a/cozman23a.pdf}, url = {https://proceedings.mlr.press/v215/cozman23a.html}, abstract = {We examine the recently proposed language of Logical Credal Networks, in particular investigating the consequences of various Markov conditions. We introduce the notion of structure for a Logical Credal Network and show that a structure without directed cycles leads to a well-known factorization result. For networks with directed cycles, we analyze the differences between Markov conditions, factorization results, and specification requirements.} }
Endnote
%0 Conference Paper %T Markov conditions and factorization in logical credal networks %A Fabio Gagliardi Cozman %B Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications %C Proceedings of Machine Learning Research %D 2023 %E Enrique Miranda %E Ignacio Montes %E Erik Quaeghebeur %E Barbara Vantaggi %F pmlr-v215-cozman23a %I PMLR %P 130--140 %U https://proceedings.mlr.press/v215/cozman23a.html %V 215 %X We examine the recently proposed language of Logical Credal Networks, in particular investigating the consequences of various Markov conditions. We introduce the notion of structure for a Logical Credal Network and show that a structure without directed cycles leads to a well-known factorization result. For networks with directed cycles, we analyze the differences between Markov conditions, factorization results, and specification requirements.
APA
Cozman, F.G.. (2023). Markov conditions and factorization in logical credal networks. Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications, in Proceedings of Machine Learning Research 215:130-140 Available from https://proceedings.mlr.press/v215/cozman23a.html.

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