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  {"set": "set1_polypythia", "size": "160m", "pair": [3, 6], "parent_nll": {"a": 3.261710986232571, "b": 3.275654115322285}, "floor": 3.261710986232571, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 12, "heads": 12, "rejected": []}, "orth": {"residual": true, "hidden": 12, "heads": 12, "rejected": []}}, "predictors": {"weight_cosine": 0.0398450267788426, "weight_cosine_bn": 0.2090839204135277, "d_raw": 1.386895083542252, "qmd_perm": 1.2988996551032903, "coord_share_perm": 0.0634477903074064, "norm_ratio_perm": 1.0000000000000004, "qmd_orth": 1.2948048545704995, "coord_share_orth": 0.06640028511496768, "d_raw_bn_perm": 1.1856887126728493, "qmd_bn_perm": 1.070567210377596, "coordinate_gap_bn_perm": 0.1151215022952532, "coord_fraction_bn_perm": 0.09709251767754416, "d_raw_bn_orth": 1.1856887126728493, "qmd_bn_orth": 1.0497267195866966, "coordinate_gap_bn_orth": 0.13596199308615264, "coord_fraction_bn_orth": 0.11466921429964456, "bnd_raw": 1.1856887126728493, "bnd_perm": 1.070567210377596, "bnd_orth": 1.0497267195866966, "coord_share_bnd_perm": 0.09709251767754416, "coord_share_bnd_orth": 0.11466921429964456, "cka_mean": 0.7153336770668185, "cka_last": 0.8899326115706124, "qmd_act_perm": 0.2192649984199494, "aligned_cka_perm": 0.7807350015800506, "qmd_act_procrustes": 0.21926499841995117, "aligned_cka_procrustes": 0.7807350015800488, "qmd_act_ot": 0.21917168276644217, "aligned_cka_ot": 0.7808283172335578, "task_vector_cosine": 0.6005987785455396}, "rungs": {"M0_naive_avg": {"nll": 14.070523196703768, "delta_floor": 10.808812210471196, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 9.147245940863503, "delta_floor": 5.8855349546309315, "delta_vs_naive": -4.923277255840265}, "M1_orth_avg": {"nll": 9.492405363258317, "delta_floor": 6.230694377025746, "delta_vs_naive": -4.57811783344545}, "M2_task_arith": {"nll": 37.31805360200587, "delta_floor": 34.056342615773296, "delta_vs_naive": 23.2475304053021}, "M3_ties": {"nll": 62.50607914933953, "delta_floor": 59.244368163106955, "delta_vs_naive": 48.43555595263576}}, "barrier_naive": {"barrier": 10.80184064592634, "losses": [3.261710986232571, 8.786853290117417, 14.070523196703768, 9.54225639447774, 3.275654115322285]}, "barrier_perm": {"barrier": 5.878563151200923, "losses": [3.261710986232571, 7.5739588429549904, 9.147245940863503, 7.6447147137964775, 3.275654593092588]}, "secs": 100.05995750427246}
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  {"set": "set1_polypythia", "size": "160m", "pair": [3, 7], "parent_nll": {"a": 3.261710986232571, "b": 3.2518446711411446}, "floor": 3.2518446711411446, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 12, "heads": 12, "rejected": []}, "orth": {"residual": true, "hidden": 12, "heads": 12, "rejected": []}}, "predictors": {"weight_cosine": -0.0029483807209936164, "weight_cosine_bn": 0.2038880779866531, "d_raw": 1.4234616562842215, "qmd_perm": 1.3209612734667031, "coord_share_perm": 0.07200782849682338, "norm_ratio_perm": 0.9999999999999999, "qmd_orth": 1.319922520749795, "coord_share_orth": 0.07273756555178527, "d_raw_bn_perm": 1.1832106813012693, "qmd_bn_perm": 1.0695022971057462, "coordinate_gap_bn_perm": 0.1137083841955231, "coord_fraction_bn_perm": 0.0961015531658902, "d_raw_bn_orth": 1.1832106813012693, "qmd_bn_orth": 1.0421900772908617, "coordinate_gap_bn_orth": 0.1410206040104076, "coord_fraction_bn_orth": 0.11918469486373824, "bnd_raw": 1.1832106813012693, "bnd_perm": 1.0695022971057462, "bnd_orth": 1.0421900772908617, "coord_share_bnd_perm": 0.0961015531658902, "coord_share_bnd_orth": 0.11918469486373824, "cka_mean": 0.9114070980940141, "cka_last": 0.8962549001384603, "qmd_act_perm": 0.004984050322183409, "aligned_cka_perm": 0.9950159496778166, "qmd_act_procrustes": 0.004984050322183853, "aligned_cka_procrustes": 0.9950159496778161, "qmd_act_ot": 0.004497636902906388, "aligned_cka_ot": 0.9955023630970936, "task_vector_cosine": 0.6002510776992488}, "rungs": {"M0_naive_avg": {"nll": 11.573585704348092, "delta_floor": 8.321741033206948, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 9.828318019202545, "delta_floor": 6.5764733480614, "delta_vs_naive": -1.7452676851455475}, "M1_orth_avg": {"nll": 8.685807737585616, "delta_floor": 5.433963066444472, "delta_vs_naive": -2.887777966762476}, "M2_task_arith": {"nll": 27.48134020303327, "delta_floor": 24.229495531892127, "delta_vs_naive": 15.907754498685177}, "M3_ties": {"nll": 52.94579409246575, "delta_floor": 49.69394942132461, "delta_vs_naive": 41.37220838811766}}, "barrier_naive": {"barrier": 8.316807875661235, "losses": [3.261710986232571, 8.875493536723337, 11.573585704348092, 8.84203384907045, 3.2518446711411446]}, "barrier_perm": {"barrier": 6.571539414138944, "losses": [3.261710986232571, 8.922958583047945, 9.828318019202545, 7.596769269431873, 3.2518462238946304]}, "secs": 105.05160522460938}
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  {"set": "set1_polypythia", "size": "160m", "pair": [3, 8], "parent_nll": {"a": 3.261710986232571, "b": 3.2340771102158756}, "floor": 3.2340771102158756, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 12, "heads": 12, "rejected": []}, "orth": {"residual": true, "hidden": 12, "heads": 12, "rejected": []}}, "predictors": {"weight_cosine": 0.019943439713341865, "weight_cosine_bn": 0.2094789398941705, "d_raw": 1.4008305837613166, "qmd_perm": 1.3389939933077561, "coord_share_perm": 0.04414280439789187, "norm_ratio_perm": 1.0, "qmd_orth": 1.317067401504484, "coord_share_orth": 0.059795369424276296, "d_raw_bn_perm": 1.1771679760874938, "qmd_bn_perm": 1.083598576973339, "coordinate_gap_bn_perm": 0.09356939911415485, "coord_fraction_bn_perm": 0.07948687104549661, "d_raw_bn_orth": 1.1771679760874938, "qmd_bn_orth": 1.046325815507317, "coordinate_gap_bn_orth": 0.13084216058017684, "coord_fraction_bn_orth": 0.1111499490625388, "bnd_raw": 1.1771679760874938, "bnd_perm": 1.083598576973339, "bnd_orth": 1.046325815507317, "coord_share_bnd_perm": 0.07948687104549661, "coord_share_bnd_orth": 0.1111499490625388, "cka_mean": 0.713838043444833, "cka_last": 0.885358501007107, "qmd_act_perm": 0.2543630008946469, "aligned_cka_perm": 0.7456369991053531, "qmd_act_procrustes": 0.25436300089464425, "aligned_cka_procrustes": 0.7456369991053557, "qmd_act_ot": 0.2547018748468468, "aligned_cka_ot": 0.7452981251531532, "task_vector_cosine": 0.5857671791678258}, "rungs": {"M0_naive_avg": {"nll": 12.215325342465754, "delta_floor": 8.981248232249879, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.746170193248533, "delta_floor": 7.512093083032657, "delta_vs_naive": -1.4691551492172206}, "M1_orth_avg": {"nll": 9.213680857081702, "delta_floor": 5.979603746865826, "delta_vs_naive": -3.001644485384052}, "M2_task_arith": {"nll": 35.401942422945204, "delta_floor": 32.167865312729326, "delta_vs_naive": 23.18661708047945}, "M3_ties": {"nll": 62.216290438478474, "delta_floor": 58.982213328262596, "delta_vs_naive": 50.00096509601272}}, "barrier_naive": {"barrier": 8.96743129424153, "losses": [3.261710986232571, 9.353480269997554, 12.215325342465754, 8.876728095187133, 3.2340771102158756]}, "barrier_perm": {"barrier": 7.498277399171355, "losses": [3.261710986232571, 9.174262418205725, 10.746170193248533, 8.32144003791585, 3.234074601921783]}, "secs": 103.14786314964294}
 
 
 
 
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  {"set": "set1_polypythia", "size": "160m", "pair": [3, 6], "parent_nll": {"a": 3.261710986232571, "b": 3.275654115322285}, "floor": 3.261710986232571, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 12, "heads": 12, "rejected": []}, "orth": {"residual": true, "hidden": 12, "heads": 12, "rejected": []}}, "predictors": {"weight_cosine": 0.0398450267788426, "weight_cosine_bn": 0.2090839204135277, "d_raw": 1.386895083542252, "qmd_perm": 1.2988996551032903, "coord_share_perm": 0.0634477903074064, "norm_ratio_perm": 1.0000000000000004, "qmd_orth": 1.2948048545704995, "coord_share_orth": 0.06640028511496768, "d_raw_bn_perm": 1.1856887126728493, "qmd_bn_perm": 1.070567210377596, "coordinate_gap_bn_perm": 0.1151215022952532, "coord_fraction_bn_perm": 0.09709251767754416, "d_raw_bn_orth": 1.1856887126728493, "qmd_bn_orth": 1.0497267195866966, "coordinate_gap_bn_orth": 0.13596199308615264, "coord_fraction_bn_orth": 0.11466921429964456, "bnd_raw": 1.1856887126728493, "bnd_perm": 1.070567210377596, "bnd_orth": 1.0497267195866966, "coord_share_bnd_perm": 0.09709251767754416, "coord_share_bnd_orth": 0.11466921429964456, "cka_mean": 0.7153336770668185, "cka_last": 0.8899326115706124, "qmd_act_perm": 0.2192649984199494, "aligned_cka_perm": 0.7807350015800506, "qmd_act_procrustes": 0.21926499841995117, "aligned_cka_procrustes": 0.7807350015800488, "qmd_act_ot": 0.21917168276644217, "aligned_cka_ot": 0.7808283172335578, "task_vector_cosine": 0.6005987785455396}, "rungs": {"M0_naive_avg": {"nll": 14.070523196703768, "delta_floor": 10.808812210471196, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 9.147245940863503, "delta_floor": 5.8855349546309315, "delta_vs_naive": -4.923277255840265}, "M1_orth_avg": {"nll": 9.492405363258317, "delta_floor": 6.230694377025746, "delta_vs_naive": -4.57811783344545}, "M2_task_arith": {"nll": 37.31805360200587, "delta_floor": 34.056342615773296, "delta_vs_naive": 23.2475304053021}, "M3_ties": {"nll": 62.50607914933953, "delta_floor": 59.244368163106955, "delta_vs_naive": 48.43555595263576}}, "barrier_naive": {"barrier": 10.80184064592634, "losses": [3.261710986232571, 8.786853290117417, 14.070523196703768, 9.54225639447774, 3.275654115322285]}, "barrier_perm": {"barrier": 5.878563151200923, "losses": [3.261710986232571, 7.5739588429549904, 9.147245940863503, 7.6447147137964775, 3.275654593092588]}, "secs": 100.05995750427246}
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22
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23
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