This is an excellent question! Indeed, we cannot rule out that tG is a linear combination or boolean function of features since we are not able to investigate every possible distribution shift. However, we showed in the paper that tG generalizes robustly under several significant distribution shifts. Specifically, tG is learned from a limited training set consisting of simple affirmative and negated statements on a restricted number of topics, all ending with a ”.” token. Despite this limited training data tG generalizes reasonably well to (i) unseen topics, (ii) unseen statement types, (iii) real-world scenarios, (iv) other tokens like ”!” or ”.’”. I think that the real-world scenarios (iii) are a particularly significant distribution shift. However, I agree with you that tests on many more distribution shifts are needed to be highly confident that tG is indeed an elementary feature (if something like that even exists).
This is an excellent question! Indeed, we cannot rule out that tG is a linear combination or boolean function of features since we are not able to investigate every possible distribution shift. However, we showed in the paper that tG generalizes robustly under several significant distribution shifts. Specifically, tG is learned from a limited training set consisting of simple affirmative and negated statements on a restricted number of topics, all ending with a ”.” token. Despite this limited training data tG generalizes reasonably well to (i) unseen topics, (ii) unseen statement types, (iii) real-world scenarios, (iv) other tokens like ”!” or ”.’”. I think that the real-world scenarios (iii) are a particularly significant distribution shift. However, I agree with you that tests on many more distribution shifts are needed to be highly confident that tG is indeed an elementary feature (if something like that even exists).