A note on incorrect inferences in non-binary qualitative probabilistic networks

Fuente: arXiv
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Autore principale: Carter, Jack Storror
Natura: Preprint
Pubblicazione: 2022
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author Carter, Jack Storror
author_facet Carter, Jack Storror
contents Qualitative probabilistic networks (QPNs) combine the conditional independence assumptions of Bayesian networks with the qualitative properties of positive and negative dependence. They formalise various intuitive properties of positive dependence to allow inferences over a large network of variables. However, we will demonstrate in this paper that, due to an incorrect symmetry property, many inferences obtained in non-binary QPNs are not mathematically true. We will provide examples of such incorrect inferences and briefly discuss possible resolutions.
format Preprint
id arxiv_https___arxiv_org_abs_2208_09344
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A note on incorrect inferences in non-binary qualitative probabilistic networks
Carter, Jack Storror
Artificial Intelligence
Statistics Theory
Methodology
Qualitative probabilistic networks (QPNs) combine the conditional independence assumptions of Bayesian networks with the qualitative properties of positive and negative dependence. They formalise various intuitive properties of positive dependence to allow inferences over a large network of variables. However, we will demonstrate in this paper that, due to an incorrect symmetry property, many inferences obtained in non-binary QPNs are not mathematically true. We will provide examples of such incorrect inferences and briefly discuss possible resolutions.
title A note on incorrect inferences in non-binary qualitative probabilistic networks
topic Artificial Intelligence
Statistics Theory
Methodology
url https://arxiv.org/abs/2208.09344