Good point, there is some ordering information leaked. This is consistent with identical likelihoods for both setups—learning which permutation of arguments we’re feeding into a commutative operator (multiplication of likelihood ratios) doesn’t tell us anything about its result.
Good point, there is some ordering information leaked. This is consistent with identical likelihoods for both setups—learning which permutation of arguments we’re feeding into a commutative operator (multiplication of likelihood ratios) doesn’t tell us anything about its result.