A note on incorrect inferences in non-binary qualitative probabilistic networks
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Abstract (arXiv)
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.
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References · 7
- 2014Estimation of positive definite M-matrices and structure learning for attractive Gaussian Markov Random fieldscited by 19
- 2017Maximum likelihood estimation in Gaussian models under total positivitycited by 14
- 2019Learning High-dimensional Gaussian Graphical Models under Total Positivity without Adjustment of Tuning Parameterscited by 9
- 2013Pivotal Pruning of Trade-offs in QPNscited by 1
- 2013Enhancing QPNs for Trade-off Resolutioncited by 1
- 2013Refining Reasoning in Qualitative Probabilistic Networkscited by 1
- 2013Intercausal Reasoning with Uninstantiated Ancestor Nodescited by 1
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