| Domain | Task | base_Y | mean | global_ridge | pertensor_ridge | topk8_global_ridge | topk8_pertensor_ridge | pertensor_mlp | oracle | oracle_minus_base_pp | usable | gap_recovered | |---|---|---|---|---|---|---|---|---|---|---|---|---| | math | gsm_hard | 0.063 | 0.057 | 0.060 | 0.067 | 0.067 | 0.063 | 0.073 | 0.150 | 8.667 | True | 0.115 | | math | gsm8k_test_500 | 0.080 | 0.093 | 0.100 | 0.100 | 0.093 | 0.097 | 0.100 | 0.293 | 21.333 | True | 0.094 | | code | mbpp_test_held | 0.230 | 0.240 | 0.250 | 0.250 | 0.250 | 0.250 | 0.240 | 0.320 | 9.000 | True | 0.222 | | code | mbpp_plus | 0.217 | 0.213 | 0.280 | 0.270 | 0.270 | 0.267 | 0.210 | 0.450 | 23.333 | True | 0.271 | | science | arc_challenge | 0.716 | 0.732 | 0.736 | 0.729 | 0.736 | 0.729 | 0.739 | 0.722 | 0.669 | False | 5.000 | | science | openbookqa_test | 0.710 | 0.760 | 0.747 | 0.743 | 0.713 | 0.717 | 0.753 | 0.983 | 27.333 | True | 0.183 |