Uncertainty
"AI systems–like people–must often act despite partial and uncertain information. First, the information received may be unreliable (e.g., a patient may mis-remember when a disease started, or may not have noticed a symptom that is important to a diagnosis). In addition, rules connecting real-world events can never include all the factors that might determine whether their conclusions really apply (e.g., the correctness of basing a diagnosis on a lab test depends whether there were conditions that might have caused a false positive, on the test being done correctly, on the results being associated with the right patient, etc.) Thus in order to draw useful conclusions, AI systems must be able to reason about the probability of events, given their current knowledge."
– from David Leake, Reasoning Under Uncertainty
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8fb134f258b1f7865a6ab2d935a897c9-Supplemental.pdf
Neural Information Processing Systems
In this section, we analyze the vanilla gradient-based explainers and GNNExplainer [24] under the explanation model framework. The proof that this explanation method falls into the class ofadditive feature attribution methods is quite straight-forward. TheconditionG S indicates thattherealization of G must be consistent with the realization of subgraphS. Thus, GNNExplainer would fail to explain predictions of thosemodels. In Figure 1, we provide an example illustrating the impact of theno-child constraint (3) onto the PGMexplanation. However, the constraint changes the edges in the Bayesian network.
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