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Expected: local explanation of a datapoint: BMI feature has a larger variation than gender feature.
Issue
Create an explicand x such that every feature value xi is unique, i.e., it does not occur elsewhere in the training data. (local explanation of a datapoint that is unique in all its xi features)
(A practical implication of Example 3.2 is that the attributions would be very sensitive to noise in the data.)
trigger the issue
If we add a tiny amount of noise, and recompute attributions, then all the features (including BMI and Gender)
The wrong result
Therefore all the variables get equal attributions, even if the function is not symmetric in the variables!
Normal initial state
linear model
BMI dataset with
Expected: local explanation of a datapoint: BMI feature has a larger variation than gender feature.
Issue
Create an explicand x such that every feature value xi is unique, i.e., it does not occur elsewhere in the training data. (local explanation of a datapoint that is unique in all its xi features)
(A practical implication of Example 3.2 is that the attributions would be very sensitive to noise in the data.)
trigger the issue
If we add a tiny amount of noise, and recompute attributions, then all the features (including BMI and Gender)
The wrong result
Therefore all the variables get equal attributions, even if the function is not symmetric in the variables!
source: https://arxiv.org/pdf/1908.08474.pdf
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