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PolyEdit multi-objective Hypervolume and MIP

Values are five-seed means with 95% t confidence intervals.

Method Hypervolume MIP Preference regret Near-optimal Unique
sft 0.326 ± 0.009 0.554 ± 0.012 0.034 ± 0.012 0.782 ± 0.091 2.091 ± 0.176
random 0.328 ± 0.005 0.500 ± 0.000 0.088 ± 0.000 0.448 ± 0.019 4.409 ± 0.279
greedy_verifier 0.337 ± 0.004 0.568 ± 0.003 0.019 ± 0.003 0.833 ± 0.021 2.011 ± 0.129
oracle_grid 0.355 ± 0.000 0.588 ± 0.000 0.000 ± 0.000 1.000 ± 0.000 1.977 ± 0.000

Direction breakdown

Direction Method Hypervolume MIP
up_up sft 0.555 ± 0.006 0.717 ± 0.009
up_up random 0.530 ± 0.011 0.623 ± 0.004
up_up greedy_verifier 0.542 ± 0.010 0.710 ± 0.005
up_up oracle_grid 0.572 ± 0.000 0.731 ± 0.000
up_down sft 0.266 ± 0.010 0.532 ± 0.005
up_down random 0.277 ± 0.004 0.499 ± 0.004
up_down greedy_verifier 0.281 ± 0.004 0.549 ± 0.002
up_down oracle_grid 0.300 ± 0.000 0.562 ± 0.000
down_up sft 0.268 ± 0.017 0.534 ± 0.017
down_up random 0.274 ± 0.004 0.501 ± 0.004
down_up greedy_verifier 0.283 ± 0.009 0.549 ± 0.004
down_up oracle_grid 0.286 ± 0.000 0.569 ± 0.000
down_down sft 0.216 ± 0.015 0.433 ± 0.020
down_down random 0.231 ± 0.007 0.377 ± 0.004
down_down greedy_verifier 0.244 ± 0.003 0.466 ± 0.003
down_down oracle_grid 0.261 ± 0.000 0.489 ± 0.000