Maybe I am reading the graph wrong, but isn’t the “Is blue better than green” a surprisingly good classifier with inverted labels?
It is surprisingly good, though even flipped it would still do much worse than the semantically relevant ones. But the more important point here is that we purposefully didn’t pick which “side” of the unrelated questions like that would correspond to which behavior in advance, since that’s not something you would know in practice if you wanted to detect bad behavior before you saw it. For comparison, see the ROC curves we present for the 1000 random directions, where you can see some there that do quite well also, but not in a systematic way where you can predict in advance how to use them as effective classifiers.
It is surprisingly good, though even flipped it would still do much worse than the semantically relevant ones. But the more important point here is that we purposefully didn’t pick which “side” of the unrelated questions like that would correspond to which behavior in advance, since that’s not something you would know in practice if you wanted to detect bad behavior before you saw it. For comparison, see the ROC curves we present for the 1000 random directions, where you can see some there that do quite well also, but not in a systematic way where you can predict in advance how to use them as effective classifiers.