On synthetic AND/OR/XOR datasets with perfectly accurate models, every tested saliency method sometimes ranks a truly irrelevant input above a necessary one, so the scores cannot be trusted as relevance rankings.
Saliency methods are encoders: Analysing logical relations towards interpreta- tion,
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Saliency Maps are Ambiguous: Analysis of Logical Relations on First and Second Order Attributions
On synthetic AND/OR/XOR datasets with perfectly accurate models, every tested saliency method sometimes ranks a truly irrelevant input above a necessary one, so the scores cannot be trusted as relevance rankings.