| {"set": "set1_polypythia", "size": "31m", "pair": [1, 2], "parent_nll": {"a": 3.95732802498675, "b": 3.9511041908736955}, "floor": 3.9511041908736955, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.0418169739856449, "weight_cosine_bn": 0.202500492518182, "d_raw": 1.3844040182473478, "qmd_perm": 1.2022347064534529, "coord_share_perm": 0.13158681237036632, "norm_ratio_perm": 1.0000000000000004, "qmd_orth": 1.1447916595301444, "coord_share_orth": 0.17307979141851387, "d_raw_bn_perm": 1.215116893695873, "qmd_bn_perm": 1.1383532608261917, "coordinate_gap_bn_perm": 0.07676363286968124, "coord_fraction_bn_perm": 0.06317386686658487, "d_raw_bn_orth": 1.215116893695873, "qmd_bn_orth": 1.0945424823383594, "coordinate_gap_bn_orth": 0.12057441135751357, "coord_fraction_bn_orth": 0.09922865197831056, "bnd_raw": 1.215116893695873, "bnd_perm": 1.1383532608261917, "bnd_orth": 1.0945424823383594, "coord_share_bnd_perm": 0.06317386686658487, "coord_share_bnd_orth": 0.09922865197831056, "cka_mean": 0.5501635420889374, "cka_last": 0.8108135480975568, "qmd_act_perm": 0.8943283411131033, "aligned_cka_perm": 0.10567165888689661, "qmd_act_procrustes": 0.8943283411131034, "aligned_cka_procrustes": 0.10567165888689654, "qmd_act_ot": 0.8544468854471462, "aligned_cka_ot": 0.14555311455285383, "task_vector_cosine": 0.3198016875095634}, "rungs": {"M0_naive_avg": {"nll": 23.552378276867255, "delta_floor": 19.60127408599356, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.897065980715917, "delta_floor": 8.945961789842222, "delta_vs_naive": -10.655312296151338}, "M1_orth_avg": {"nll": 12.739097600191618, "delta_floor": 8.787993409317924, "delta_vs_naive": -10.813280676675637}, "M2_task_arith": {"nll": 90.13433881686237, "delta_floor": 86.18323462598867, "delta_vs_naive": 66.58196053999511}, "M3_ties": {"nll": 89.54899757420091, "delta_floor": 85.59789338332722, "delta_vs_naive": 65.99661929733365}}, "barrier_naive": {"barrier": 19.598162168937034, "losses": [3.95732802498675, 9.524655495759948, 20.07978891470972, 23.552378276867255, 17.550782524054142, 8.955769936399218, 3.9511041908736955]}, "barrier_perm": {"barrier": 8.942849275572815, "losses": [3.95732802498675, 6.559392263433627, 10.638220541320123, 12.897065980715917, 10.042623162813927, 6.641695046222685, 3.9511053852994538]}, "secs": 20.084084510803223} |
| {"set": "set1_polypythia", "size": "31m", "pair": [1, 3], "parent_nll": {"a": 3.95732802498675, "b": 3.9877181976975296}, "floor": 3.95732802498675, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.05345081828266005, "weight_cosine_bn": 0.1941663517554338, "d_raw": 1.3759572500291595, "qmd_perm": 1.1294448994079922, "coord_share_perm": 0.17915698370421257, "norm_ratio_perm": 1.0, "qmd_orth": 1.1147426884281002, "coord_share_orth": 0.18984206202301968, "d_raw_bn_perm": 1.1898805647187838, "qmd_bn_perm": 1.0838501353228367, "coordinate_gap_bn_perm": 0.10603042939594709, "coord_fraction_bn_perm": 0.08911014478247765, "d_raw_bn_orth": 1.1898805647187838, "qmd_bn_orth": 1.054922959503422, "coordinate_gap_bn_orth": 0.13495760521536182, "coord_fraction_bn_orth": 0.1134211358828755, "bnd_raw": 1.1898805647187838, "bnd_perm": 1.0838501353228367, "bnd_orth": 1.054922959503422, "coord_share_bnd_perm": 0.08911014478247765, "coord_share_bnd_orth": 0.1134211358828755, "cka_mean": 0.7451908747560669, "cka_last": 0.8038675188398995, "qmd_act_perm": 0.2951430349369193, "aligned_cka_perm": 0.7048569650630807, "qmd_act_procrustes": 0.2951430349369193, "aligned_cka_procrustes": 0.7048569650630807, "qmd_act_ot": 0.36046482892840914, "aligned_cka_ot": 0.6395351710715909, "task_vector_cosine": 0.36653318423012365}, "rungs": {"M0_naive_avg": {"nll": 21.68150302715264, "delta_floor": 17.72417500216589, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.693955313825017, "delta_floor": 6.736627288838267, "delta_vs_naive": -10.987547713327624}, "M1_orth_avg": {"nll": 14.383636494516471, "delta_floor": 10.426308469529722, "delta_vs_naive": -7.297866532636169}, "M2_task_arith": {"nll": 103.62520384866275, "delta_floor": 99.667875823676, "delta_vs_naive": 81.9437008215101}, "M3_ties": {"nll": 98.38614797374429, "delta_floor": 94.42881994875754, "delta_vs_naive": 76.70464494659164}}, "barrier_naive": {"barrier": 17.708979915810502, "losses": [3.95732802498675, 9.06432571958578, 17.864215768713308, 21.68150302715264, 19.026418149665687, 8.564878659083496, 3.9877181976975296]}, "barrier_perm": {"barrier": 6.721433994121514, "losses": [3.95732802498675, 6.543625843423842, 9.437380875937704, 10.693955313825017, 9.868495953604045, 6.572575697926859, 3.987714614420254]}, "secs": 26.839689254760742} |
| {"set": "set1_polypythia", "size": "31m", "pair": [1, 4], "parent_nll": {"a": 3.95732802498675, "b": 3.8991993843770385}, "floor": 3.8991993843770385, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 0, "rejected": ["heads"]}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.05278835878757829, "weight_cosine_bn": 0.19081268958684366, "d_raw": 1.3869007103870605, "qmd_perm": 1.3750422599056789, "coord_share_perm": 0.008550324037307749, "norm_ratio_perm": 1.0000000000000009, "qmd_orth": 1.325702871989061, "coord_share_orth": 0.04412560894926671, "d_raw_bn_perm": 1.2461347583684763, "qmd_bn_perm": 1.209735019244704, "coordinate_gap_bn_perm": 0.03639973912377226, "coord_fraction_bn_perm": 0.029210114619890107, "d_raw_bn_orth": 1.2461347583684763, "qmd_bn_orth": 1.1511016002268264, "coordinate_gap_bn_orth": 0.09503315814164992, "coord_fraction_bn_orth": 0.07626234442418871, "bnd_raw": 1.2461347583684763, "bnd_perm": 1.209735019244704, "bnd_orth": 1.1511016002268264, "coord_share_bnd_perm": 0.029210114619890107, "coord_share_bnd_orth": 0.07626234442418871, "cka_mean": 0.5482096806235741, "cka_last": 0.7630480174610721, "qmd_act_perm": 0.9070490606409585, "aligned_cka_perm": 0.09295093935904157, "qmd_act_procrustes": 0.9070490606409584, "aligned_cka_procrustes": 0.09295093935904165, "qmd_act_ot": 0.8822422887258773, "aligned_cka_ot": 0.11775771127412271, "task_vector_cosine": 0.3758342622161702}, "rungs": {"M0_naive_avg": {"nll": 20.90124997451892, "delta_floor": 17.00205059014188, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 17.241835224029682, "delta_floor": 13.342635839652644, "delta_vs_naive": -3.659414750489237}, "M1_orth_avg": {"nll": 10.485737282391552, "delta_floor": 6.586537898014514, "delta_vs_naive": -10.415512692127367}, "M2_task_arith": {"nll": 86.96320276826484, "delta_floor": 83.0640033838878, "delta_vs_naive": 66.06195279374592}, "M3_ties": {"nll": 56.837163140084805, "delta_floor": 52.93796375570776, "delta_vs_naive": 35.935913165565886}}, "barrier_naive": {"barrier": 16.972986269837023, "losses": [3.95732802498675, 8.576937900053, 18.23499801247554, 20.90124997451892, 14.072838312336922, 7.792702950454583, 3.8991993843770385]}, "barrier_perm": {"barrier": 13.31357116102006, "losses": [3.95732802498675, 8.9920199618803, 15.398631156229616, 17.241835224029682, 14.245214971155415, 8.47609205550799, 3.8992001010324935]}, "secs": 44.088114738464355} |
| {"set": "set1_polypythia", "size": "31m", "pair": [1, 5], "parent_nll": {"a": 3.95732802498675, "b": 4.280649761242254}, "floor": 3.95732802498675, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.05826819302582492, "weight_cosine_bn": 0.19647205396989523, "d_raw": 1.3759491037440523, "qmd_perm": 1.071375554517461, "coord_share_perm": 0.2213552437352702, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.0816618297489353, "coord_share_orth": 0.21387947649687117, "d_raw_bn_perm": 1.2085899827480133, "qmd_bn_perm": 1.1299503281721943, "coordinate_gap_bn_perm": 0.078639654575819, "coord_fraction_bn_perm": 0.06506727318475143, "d_raw_bn_orth": 1.2085899827480133, "qmd_bn_orth": 1.0957010294231526, "coordinate_gap_bn_orth": 0.11288895332486071, "coord_fraction_bn_orth": 0.093405501399392, "bnd_raw": 1.2085899827480133, "bnd_perm": 1.1299503281721943, "bnd_orth": 1.0957010294231526, "coord_share_bnd_perm": 0.06506727318475143, "coord_share_bnd_orth": 0.093405501399392, "cka_mean": 0.5755481908523171, "cka_last": 0.7638103626611681, "qmd_act_perm": 0.8093180867017138, "aligned_cka_perm": 0.1906819132982862, "qmd_act_procrustes": 0.8093180867017138, "aligned_cka_procrustes": 0.1906819132982862, "qmd_act_ot": 0.81267901602793, "aligned_cka_ot": 0.18732098397207003, "task_vector_cosine": 0.3285857655397474}, "rungs": {"M0_naive_avg": {"nll": 38.193420529598825, "delta_floor": 34.236092504612074, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.690046197203197, "delta_floor": 7.732718172216447, "delta_vs_naive": -26.50337433239563}, "M1_orth_avg": {"nll": 20.964383179427593, "delta_floor": 17.00705515444084, "delta_vs_naive": -17.229037350171232}, "M2_task_arith": {"nll": 126.68827972113503, "delta_floor": 122.73095169614828, "delta_vs_naive": 88.49485919153621}, "M3_ties": {"nll": 132.27972113502935, "delta_floor": 128.3223931100426, "delta_vs_naive": 94.08630060543052}}, "barrier_naive": {"barrier": 34.07443163648432, "losses": [3.95732802498675, 11.111852398279517, 28.308450418909, 38.193420529598825, 29.62631291279354, 14.357869705030986, 4.280649761242254]}, "barrier_perm": {"barrier": 7.57105698557516, "losses": [3.95732802498675, 6.490949119373777, 9.959554832742173, 11.690046197203197, 10.25865592384214, 7.194007072274544, 4.280650398269325]}, "secs": 17.85558032989502} |
| {"set": "set1_polypythia", "size": "31m", "pair": [1, 6], "parent_nll": {"a": 3.95732802498675, "b": 3.9135810667910143}, "floor": 3.9135810667910143, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.0863927914185823, "weight_cosine_bn": 0.19874891246363288, "d_raw": 1.3607204999629672, "qmd_perm": 1.2774468702423312, "coord_share_perm": 0.06119818855003827, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.249567312496966, "coord_share_orth": 0.0816870088082206, "d_raw_bn_perm": 1.2175101824054784, "qmd_bn_perm": 1.1451194782957386, "coordinate_gap_bn_perm": 0.0723907041097398, "coord_fraction_bn_perm": 0.05945798659910581, "d_raw_bn_orth": 1.2175101824054784, "qmd_bn_orth": 1.116100291276539, "coordinate_gap_bn_orth": 0.10140989112893939, "coord_fraction_bn_orth": 0.08329284846602288, "bnd_raw": 1.2175101824054784, "bnd_perm": 1.1451194782957386, "bnd_orth": 1.116100291276539, "coord_share_bnd_perm": 0.05945798659910581, "coord_share_bnd_orth": 0.08329284846602288, "cka_mean": 0.7177699762246983, "cka_last": 0.7860231763423529, "qmd_act_perm": 0.5842287557686692, "aligned_cka_perm": 0.41577124423133077, "qmd_act_procrustes": 0.5842287557686694, "aligned_cka_procrustes": 0.41577124423133066, "qmd_act_ot": 0.7900196432754267, "aligned_cka_ot": 0.20998035672457332, "task_vector_cosine": 0.3894097307514784}, "rungs": {"M0_naive_avg": {"nll": 22.838962104533593, "delta_floor": 18.92538103774258, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.547755689925799, "delta_floor": 6.6341746231347845, "delta_vs_naive": -12.291206414607794}, "M1_orth_avg": {"nll": 12.35217181639351, "delta_floor": 8.438590749602495, "delta_vs_naive": -10.486790288140083}, "M2_task_arith": {"nll": 79.14606521118722, "delta_floor": 75.23248414439621, "delta_vs_naive": 56.30710310665363}, "M3_ties": {"nll": 84.65933321102413, "delta_floor": 80.74575214423312, "delta_vs_naive": 61.82037110649054}}, "barrier_naive": {"barrier": 18.903507558644712, "losses": [3.95732802498675, 9.22612358834801, 18.17552006890085, 22.838962104533593, 18.915671630381606, 9.215744824792074, 3.9135810667910143]}, "barrier_perm": {"barrier": 6.612302139391716, "losses": [3.95732802498675, 6.460059198925718, 9.913479938743476, 10.547755689925799, 9.79794042777642, 6.974831856704583, 3.913579076081417]}, "secs": 18.176703453063965} |
| {"set": "set1_polypythia", "size": "31m", "pair": [1, 7], "parent_nll": {"a": 3.95732802498675, "b": 3.9745389835086433}, "floor": 3.95732802498675, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.01651829709187875, "weight_cosine_bn": 0.1962827630474317, "d_raw": 1.4036943762412972, "qmd_perm": 1.1236404376144533, "coord_share_perm": 0.19951204718562057, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.0893314473000133, "coord_share_orth": 0.22395397050963498, "d_raw_bn_perm": 1.198510847426855, "qmd_bn_perm": 1.130380687570101, "coordinate_gap_bn_perm": 0.06813015985675408, "coord_fraction_bn_perm": 0.05684567645176199, "d_raw_bn_orth": 1.198510847426855, "qmd_bn_orth": 1.074334501417858, "coordinate_gap_bn_orth": 0.12417634600899707, "coord_fraction_bn_orth": 0.10360886284475246, "bnd_raw": 1.198510847426855, "bnd_perm": 1.130380687570101, "bnd_orth": 1.074334501417858, "coord_share_bnd_perm": 0.05684567645176199, "coord_share_bnd_orth": 0.10360886284475246, "cka_mean": 0.7065428156657678, "cka_last": 0.8179239070380625, "qmd_act_perm": 0.2537469811098697, "aligned_cka_perm": 0.7462530188901303, "qmd_act_procrustes": 0.25374698110986926, "aligned_cka_procrustes": 0.7462530188901307, "qmd_act_ot": 0.29168076552754507, "aligned_cka_ot": 0.7083192344724549, "task_vector_cosine": 0.3009299111734647}, "rungs": {"M0_naive_avg": {"nll": 31.401375468851924, "delta_floor": 27.444047443865173, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.776869164832029, "delta_floor": 8.819541139845278, "delta_vs_naive": -18.624506304019896}, "M1_orth_avg": {"nll": 17.05880651704175, "delta_floor": 13.101478492054998, "delta_vs_naive": -14.342568951810176}, "M2_task_arith": {"nll": 103.90608946917808, "delta_floor": 99.94876144419133, "delta_vs_naive": 72.50471400032616}, "M3_ties": {"nll": 111.47723774869537, "delta_floor": 107.51990972370862, "delta_vs_naive": 80.07586227984345}}, "barrier_naive": {"barrier": 27.435441964604227, "losses": [3.95732802498675, 11.06263250163079, 22.331913399991848, 31.401375468851924, 23.21834102862035, 8.920474177470647, 3.9745389835086433]}, "barrier_perm": {"barrier": 8.810933192104432, "losses": [3.95732802498675, 6.040373342455561, 10.20837219198467, 12.776869164832029, 10.459154142714448, 6.233690355155333, 3.9745439204684443]}, "secs": 22.02271795272827} |
| {"set": "set1_polypythia", "size": "31m", "pair": [1, 8], "parent_nll": {"a": 3.95732802498675, "b": 3.953362212955602}, "floor": 3.953362212955602, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.0007542527604318483, "weight_cosine_bn": 0.20326150937486318, "d_raw": 1.4140421430307066, "qmd_perm": 1.1770603173399394, "coord_share_perm": 0.16759177006057663, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.1660486864517041, "coord_share_orth": 0.17537911285124774, "d_raw_bn_perm": 1.1912989992516583, "qmd_bn_perm": 1.1193282663777244, "coordinate_gap_bn_perm": 0.07197073287393385, "coord_fraction_bn_perm": 0.06041366014673387, "d_raw_bn_orth": 1.1912989992516583, "qmd_bn_orth": 1.066414622403519, "coordinate_gap_bn_orth": 0.12488437684813936, "coord_fraction_bn_orth": 0.1048304220238482, "bnd_raw": 1.1912989992516583, "bnd_perm": 1.1193282663777244, "bnd_orth": 1.066414622403519, "coord_share_bnd_perm": 0.06041366014673387, "coord_share_bnd_orth": 0.1048304220238482, "cka_mean": 0.7883251639954635, "cka_last": 0.8172343102958782, "qmd_act_perm": 0.45948988404676583, "aligned_cka_perm": 0.5405101159532342, "qmd_act_procrustes": 0.45948988404676616, "aligned_cka_procrustes": 0.5405101159532338, "qmd_act_ot": 0.6688345478244305, "aligned_cka_ot": 0.3311654521755695, "task_vector_cosine": 0.2986024088295423}, "rungs": {"M0_naive_avg": {"nll": 25.479444410469668, "delta_floor": 21.526082197514064, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 15.145733638596706, "delta_floor": 11.192371425641104, "delta_vs_naive": -10.333710771872962}, "M1_orth_avg": {"nll": 12.689746157452706, "delta_floor": 8.736383944497105, "delta_vs_naive": -12.789698253016962}, "M2_task_arith": {"nll": 105.47906219422701, "delta_floor": 101.52569998127142, "delta_vs_naive": 79.99961778375734}, "M3_ties": {"nll": 104.29301206784083, "delta_floor": 100.33964985488524, "delta_vs_naive": 78.81356765737117}}, "barrier_naive": {"barrier": 21.52409929149849, "losses": [3.95732802498675, 10.754428612198303, 20.937324180528375, 25.479444410469668, 19.858142989644488, 9.141150547333659, 3.953362212955602]}, "barrier_perm": {"barrier": 11.190387165943005, "losses": [3.95732802498675, 6.468990796232877, 10.766971993741846, 15.145733638596706, 12.632724908777723, 7.60194264590468, 3.953364920320654]}, "secs": 24.831429719924927} |
| {"set": "set1_polypythia", "size": "31m", "pair": [1, 9], "parent_nll": {"a": 3.95732802498675, "b": 3.9759781869190314}, "floor": 3.95732802498675, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.0437008325865041, "weight_cosine_bn": 0.19027760633693785, "d_raw": 1.3830176432421086, "qmd_perm": 1.1761398473959834, "coord_share_perm": 0.14958435046508625, "norm_ratio_perm": 0.9999999999999997, "qmd_orth": 1.1193869197303628, "coord_share_orth": 0.19061992795242683, "d_raw_bn_perm": 1.2095154166887576, "qmd_bn_perm": 1.121870986465072, "coordinate_gap_bn_perm": 0.08764443022368562, "coord_fraction_bn_perm": 0.07246243331368715, "d_raw_bn_orth": 1.2095154166887576, "qmd_bn_orth": 1.0911931846970624, "coordinate_gap_bn_orth": 0.11832223199169523, "coord_fraction_bn_orth": 0.09782614620623961, "bnd_raw": 1.2095154166887576, "bnd_perm": 1.121870986465072, "bnd_orth": 1.0911931846970624, "coord_share_bnd_perm": 0.07246243331368715, "coord_share_bnd_orth": 0.09782614620623961, "cka_mean": 0.7472569828833792, "cka_last": 0.7941774807851397, "qmd_act_perm": 0.23675407259164216, "aligned_cka_perm": 0.7632459274083578, "qmd_act_procrustes": 0.23675407259164183, "aligned_cka_procrustes": 0.7632459274083582, "qmd_act_ot": 0.2813367712170446, "aligned_cka_ot": 0.7186632287829554, "task_vector_cosine": 0.34751548775860036}, "rungs": {"M0_naive_avg": {"nll": 28.18775481082844, "delta_floor": 24.23042678584169, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.195005771465263, "delta_floor": 10.237677746478514, "delta_vs_naive": -13.992749039363177}, "M1_orth_avg": {"nll": 18.890430069716242, "delta_floor": 14.933102044729491, "delta_vs_naive": -9.297324741112199}, "M2_task_arith": {"nll": 120.02450515737117, "delta_floor": 116.06717713238442, "delta_vs_naive": 91.83675034654273}, "M3_ties": {"nll": 89.90276163975864, "delta_floor": 85.94543361477189, "delta_vs_naive": 61.7150068289302}}, "barrier_naive": {"barrier": 24.22110170487555, "losses": [3.95732802498675, 9.684524765064417, 24.30825102943575, 28.18775481082844, 23.183927552185256, 10.672350859222114, 3.9759781869190314]}, "barrier_perm": {"barrier": 10.228353581238787, "losses": [3.95732802498675, 6.722224982672864, 11.160587517327137, 14.195005771465263, 13.098489799922538, 7.349773090957274, 3.975976355466202]}, "secs": 17.020193815231323} |
| {"set": "set1_polypythia", "size": "31m", "pair": [2, 3], "parent_nll": {"a": 3.9511041908736955, "b": 3.9877181976975296}, "floor": 3.9511041908736955, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": -0.020640784467370134, "weight_cosine_bn": 0.1925195615379299, "d_raw": 1.4289909908974987, "qmd_perm": 1.1975858469905367, "coord_share_perm": 0.16193604115140334, "norm_ratio_perm": 1.0, "qmd_orth": 1.1732688888731846, "coord_share_orth": 0.1789529140863961, "d_raw_bn_perm": 1.2268205791121183, "qmd_bn_perm": 1.1449117104889521, "coordinate_gap_bn_perm": 0.08190886862316615, "coord_fraction_bn_perm": 0.06676515703905596, "d_raw_bn_orth": 1.2268205791121183, "qmd_bn_orth": 1.0956238937947804, "coordinate_gap_bn_orth": 0.13119668531733786, "coord_fraction_bn_orth": 0.10694040151518186, "bnd_raw": 1.2268205791121183, "bnd_perm": 1.1449117104889521, "bnd_orth": 1.0956238937947804, "coord_share_bnd_perm": 0.06676515703905596, "coord_share_bnd_orth": 0.10694040151518186, "cka_mean": 0.5673783591449689, "cka_last": 0.8182764347875845, "qmd_act_perm": 0.8393271396550193, "aligned_cka_perm": 0.1606728603449807, "qmd_act_procrustes": 0.8393271396550193, "aligned_cka_procrustes": 0.16067286034498077, "qmd_act_ot": 0.8736699024905634, "aligned_cka_ot": 0.12633009750943658, "task_vector_cosine": 0.30884675978877923}, "rungs": {"M0_naive_avg": {"nll": 26.103175452544033, "delta_floor": 22.152071261670336, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 9.7030721267531, "delta_floor": 5.751967935879404, "delta_vs_naive": -16.400103325790933}, "M1_orth_avg": {"nll": 15.692987351190476, "delta_floor": 11.741883160316782, "delta_vs_naive": -10.410188101353556}, "M2_task_arith": {"nll": 93.67348030821918, "delta_floor": 89.72237611734549, "delta_vs_naive": 67.57030485567515}, "M3_ties": {"nll": 96.81877853881278, "delta_floor": 92.86767434793909, "delta_vs_naive": 70.71560308626874}}, "barrier_naive": {"barrier": 22.13376425825842, "losses": [3.9511041908736955, 10.653541997920744, 21.734412584597194, 26.103175452544033, 18.958173439538488, 9.895717394406393, 3.9877181976975296]}, "barrier_perm": {"barrier": 5.733662166707437, "losses": [3.9511041908736955, 6.530116251070205, 9.178160227597031, 9.7030721267531, 9.065972434564578, 6.268436996748614, 3.9877157292176286]}, "secs": 31.62498712539673} |
| {"set": "set1_polypythia", "size": "31m", "pair": [2, 4], "parent_nll": {"a": 3.9511041908736955, "b": 3.8991993843770385}, "floor": 3.8991993843770385, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": -0.020609300226585612, "weight_cosine_bn": 0.18797455763822155, "d_raw": 1.4406392499031022, "qmd_perm": 1.3567918543902884, "coord_share_perm": 0.05820152096956503, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.3379171566102206, "coord_share_orth": 0.07130313386907287, "d_raw_bn_perm": 1.2498801560926436, "qmd_bn_perm": 1.1960590375920177, "coordinate_gap_bn_perm": 0.053821118500625875, "coord_fraction_bn_perm": 0.04306102328152856, "d_raw_bn_orth": 1.2498801560926436, "qmd_bn_orth": 1.1513432913742683, "coordinate_gap_bn_orth": 0.0985368647183753, "coord_fraction_bn_orth": 0.0788370502868209, "bnd_raw": 1.2498801560926436, "bnd_perm": 1.1960590375920177, "bnd_orth": 1.1513432913742683, "coord_share_bnd_perm": 0.04306102328152856, "coord_share_bnd_orth": 0.0788370502868209, "cka_mean": 0.7845706446547125, "cka_last": 0.7939912626857486, "qmd_act_perm": 0.2560962787666673, "aligned_cka_perm": 0.7439037212333327, "qmd_act_procrustes": 0.25609627876666763, "aligned_cka_procrustes": 0.7439037212333324, "qmd_act_ot": 0.2588896611503638, "aligned_cka_ot": 0.7411103388496362, "task_vector_cosine": 0.3187435058014754}, "rungs": {"M0_naive_avg": {"nll": 14.79295091324201, "delta_floor": 10.893751528864971, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 22.28069387536693, "delta_floor": 18.38149449098989, "delta_vs_naive": 7.487742962124919}, "M1_orth_avg": {"nll": 9.81369856643428, "delta_floor": 5.9144991820572415, "delta_vs_naive": -4.97925234680773}, "M2_task_arith": {"nll": 57.14174234548271, "delta_floor": 53.24254296110567, "delta_vs_naive": 42.3487914322407}, "M3_ties": {"nll": 54.30329368476843, "delta_floor": 50.404094300391385, "delta_vs_naive": 39.51034277152642}}, "barrier_naive": {"barrier": 10.867799125616642, "losses": [3.9511041908736955, 7.85393447029925, 13.067139149645303, 14.79295091324201, 11.244377280556915, 7.681056152662263, 3.8991993843770385]}, "barrier_perm": {"barrier": 18.355541928484794, "losses": [3.9511041908736955, 9.200975033635029, 17.32740834454501, 22.28069387536693, 19.188354253302347, 9.880283184014187, 3.899199702890574]}, "secs": 18.422555446624756} |
| {"set": "set1_polypythia", "size": "31m", "pair": [2, 5], "parent_nll": {"a": 3.9511041908736955, "b": 4.280649761242254}, "floor": 3.9511041908736955, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.07142862499295088, "weight_cosine_bn": 0.19583652188057252, "d_raw": 1.365381477160555, "qmd_perm": 1.1108892437074247, "coord_share_perm": 0.18638910642201764, "norm_ratio_perm": 0.9999999999999996, "qmd_orth": 1.117032379605368, "coord_share_orth": 0.18188989795852023, "d_raw_bn_perm": 1.2065744867140231, "qmd_bn_perm": 1.107944747246166, "coordinate_gap_bn_perm": 0.09862973946785702, "coord_fraction_bn_perm": 0.08174359772554499, "d_raw_bn_orth": 1.2065744867140231, "qmd_bn_orth": 1.0918803704089726, "coordinate_gap_bn_orth": 0.11469411630505055, "coord_fraction_bn_orth": 0.09505763429277188, "bnd_raw": 1.2065744867140231, "bnd_perm": 1.107944747246166, "bnd_orth": 1.0918803704089726, "coord_share_bnd_perm": 0.08174359772554499, "coord_share_bnd_orth": 0.09505763429277188, "cka_mean": 0.7729087159959812, "cka_last": 0.7841189908207367, "qmd_act_perm": 0.256863443460843, "aligned_cka_perm": 0.743136556539157, "qmd_act_procrustes": 0.256863443460843, "aligned_cka_procrustes": 0.743136556539157, "qmd_act_ot": 0.2576303702823455, "aligned_cka_ot": 0.7423696297176545, "task_vector_cosine": 0.33110908453623733}, "rungs": {"M0_naive_avg": {"nll": 28.93374345136171, "delta_floor": 24.982639260488014, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.992919444104697, "delta_floor": 7.041815253231001, "delta_vs_naive": -17.940824007257014}, "M1_orth_avg": {"nll": 17.58907549535225, "delta_floor": 13.637971304478555, "delta_vs_naive": -11.34466795600946}, "M2_task_arith": {"nll": 123.78773493558383, "delta_floor": 119.83663074471013, "delta_vs_naive": 94.85399148422212}, "M3_ties": {"nll": 129.2947498776908, "delta_floor": 125.34364568681711, "delta_vs_naive": 100.3610064263291}}, "barrier_naive": {"barrier": 24.817866475303738, "losses": [3.9511041908736955, 8.384218418745924, 19.848046110567516, 28.93374345136171, 23.76115816617743, 12.155453716161121, 4.280649761242254]}, "barrier_perm": {"barrier": 6.877043821729249, "losses": [3.9511041908736955, 6.459743552011986, 9.817878738074853, 10.992919444104697, 9.602184556934931, 6.882681272423353, 4.2806470538772015]}, "secs": 18.617387533187866} |
| {"set": "set1_polypythia", "size": "31m", "pair": [2, 6], "parent_nll": {"a": 3.9511041908736955, "b": 3.9135810667910143}, "floor": 3.9135810667910143, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": -0.007807228673773907, "weight_cosine_bn": 0.18957977458644834, "d_raw": 1.4299267209563515, "qmd_perm": 1.2460832187320816, "coord_share_perm": 0.12856847804152738, "norm_ratio_perm": 0.9999999999999996, "qmd_orth": 1.2438060180820218, "coord_share_orth": 0.13016100765628746, "d_raw_bn_perm": 1.2048727875334966, "qmd_bn_perm": 1.1211950396438322, "coordinate_gap_bn_perm": 0.08367774788966442, "coord_fraction_bn_perm": 0.06944944624482866, "d_raw_bn_orth": 1.2048727875334966, "qmd_bn_orth": 1.0774288879796492, "coordinate_gap_bn_orth": 0.12744389955384738, "coord_fraction_bn_orth": 0.10577373883158128, "bnd_raw": 1.2048727875334966, "bnd_perm": 1.1211950396438322, "bnd_orth": 1.0774288879796492, "coord_share_bnd_perm": 0.06944944624482866, "coord_share_bnd_orth": 0.10577373883158128, "cka_mean": 0.582296801520582, "cka_last": 0.7893388694639245, "qmd_act_perm": 0.7565463925153054, "aligned_cka_perm": 0.24345360748469458, "qmd_act_procrustes": 0.7565463925153053, "aligned_cka_procrustes": 0.24345360748469463, "qmd_act_ot": 0.7539609667322869, "aligned_cka_ot": 0.24603903326771312, "task_vector_cosine": 0.31778001232414094}, "rungs": {"M0_naive_avg": {"nll": 21.282288991152967, "delta_floor": 17.368707924361953, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.970894233121331, "delta_floor": 7.057313166330317, "delta_vs_naive": -10.311394758031636}, "M1_orth_avg": {"nll": 12.797394814090019, "delta_floor": 8.883813747299005, "delta_vs_naive": -8.484894177062948}, "M2_task_arith": {"nll": 86.13866550472929, "delta_floor": 82.22508443793828, "delta_vs_naive": 64.85637651357632}, "M3_ties": {"nll": 77.88007583170254, "delta_floor": 73.96649476491153, "delta_vs_naive": 56.597786840549574}}, "barrier_naive": {"barrier": 17.349946362320612, "losses": [3.9511041908736955, 8.602760747920744, 16.901960896730266, 21.282288991152967, 15.189579256360078, 8.546172040627038, 3.9135810667910143]}, "barrier_perm": {"barrier": 7.038552520015392, "losses": [3.9511041908736955, 6.524439543582844, 9.420397097195043, 10.970894233121331, 10.49822651663405, 7.2494061315129645, 3.913579235338185]}, "secs": 16.658774614334106} |
| {"set": "set1_polypythia", "size": "31m", "pair": [2, 7], "parent_nll": {"a": 3.9511041908736955, "b": 3.9745389835086433}, "floor": 3.9511041908736955, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.01961310039029908, "weight_cosine_bn": 0.1926811279919912, "d_raw": 1.4009618239907125, "qmd_perm": 1.0910876092049349, "coord_share_perm": 0.2211867657486089, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.0731122153688846, "coord_share_orth": 0.23401751782781008, "d_raw_bn_perm": 1.215915223150915, "qmd_bn_perm": 1.1409833869276742, "coordinate_gap_bn_perm": 0.07493183622324073, "coord_fraction_bn_perm": 0.061625872261935215, "d_raw_bn_orth": 1.215915223150915, "qmd_bn_orth": 1.0927006561059767, "coordinate_gap_bn_orth": 0.12321456704493827, "coord_fraction_bn_orth": 0.10133483379346205, "bnd_raw": 1.215915223150915, "bnd_perm": 1.1409833869276742, "bnd_orth": 1.0927006561059767, "coord_share_bnd_perm": 0.061625872261935215, "coord_share_bnd_orth": 0.10133483379346205, "cka_mean": 0.5580150329977046, "cka_last": 0.8323531011172681, "qmd_act_perm": 0.8944749176845981, "aligned_cka_perm": 0.10552508231540192, "qmd_act_procrustes": 0.8944749176845981, "aligned_cka_procrustes": 0.10552508231540196, "qmd_act_ot": 0.9153238035213, "aligned_cka_ot": 0.0846761964786999, "task_vector_cosine": 0.295594555205539}, "rungs": {"M0_naive_avg": {"nll": 20.62298189823875, "delta_floor": 16.671877707365052, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.51441783370026, "delta_floor": 7.563313642826565, "delta_vs_naive": -9.108564064538488}, "M1_orth_avg": {"nll": 13.563832023605675, "delta_floor": 9.61272783273198, "delta_vs_naive": -7.059149874633073}, "M2_task_arith": {"nll": 88.7853193289302, "delta_floor": 84.8342151380565, "delta_vs_naive": 68.16233743069145}, "M3_ties": {"nll": 98.06771597765818, "delta_floor": 94.11661178678449, "delta_vs_naive": 77.44473407941943}}, "barrier_naive": {"barrier": 16.66016031104758, "losses": [3.9511041908736955, 9.581003406820777, 17.839597220523483, 20.62298189823875, 15.212005475884704, 7.905804399563764, 3.9745389835086433]}, "barrier_perm": {"barrier": 7.551595728924596, "losses": [3.9511041908736955, 6.835715814579256, 10.11027066006197, 11.51441783370026, 11.165462366988747, 6.443134822957436, 3.974540018677634]}, "secs": 17.322121620178223} |
| {"set": "set1_polypythia", "size": "31m", "pair": [2, 8], "parent_nll": {"a": 3.9511041908736955, "b": 3.953362212955602}, "floor": 3.9511041908736955, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": -0.021690662247031804, "weight_cosine_bn": 0.1911644489541035, "d_raw": 1.4295767094924376, "qmd_perm": 1.1829583569946265, "coord_share_perm": 0.17251145101921217, "norm_ratio_perm": 1.0, "qmd_orth": 1.1526497464716372, "coord_share_orth": 0.19371255923658803, "d_raw_bn_perm": 1.2245278660939412, "qmd_bn_perm": 1.1402602349784534, "coordinate_gap_bn_perm": 0.08426763111548774, "coord_fraction_bn_perm": 0.06881642586402607, "d_raw_bn_orth": 1.2245278660939412, "qmd_bn_orth": 1.1013225318319877, "coordinate_gap_bn_orth": 0.12320533426195346, "coord_fraction_bn_orth": 0.10061456147581178, "bnd_raw": 1.2245278660939412, "bnd_perm": 1.1402602349784534, "bnd_orth": 1.1013225318319877, "coord_share_bnd_perm": 0.06881642586402607, "coord_share_bnd_orth": 0.10061456147581178, "cka_mean": 0.5442319708553144, "cka_last": 0.8257121375539075, "qmd_act_perm": 0.8793985479632984, "aligned_cka_perm": 0.1206014520367016, "qmd_act_procrustes": 0.8793985479632984, "aligned_cka_procrustes": 0.12060145203670164, "qmd_act_ot": 0.8821220637413234, "aligned_cka_ot": 0.11787793625867656, "task_vector_cosine": 0.27485432424555856}, "rungs": {"M0_naive_avg": {"nll": 23.503515752405413, "delta_floor": 19.552411561531716, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.430626477902806, "delta_floor": 8.47952228702911, "delta_vs_naive": -11.072889274502607}, "M1_orth_avg": {"nll": 13.48000053510274, "delta_floor": 9.528896344229043, "delta_vs_naive": -10.023515217302673}, "M2_task_arith": {"nll": 86.19697896281801, "delta_floor": 82.24587477194432, "delta_vs_naive": 62.693463210412595}, "M3_ties": {"nll": 93.53338786285062, "delta_floor": 89.58228367197692, "delta_vs_naive": 70.02987211044521}}, "barrier_naive": {"barrier": 19.551282550490765, "losses": [3.9511041908736955, 9.679651826484019, 20.15029061174984, 23.503515752405413, 17.493462191169275, 8.411659952401337, 3.953362212955602]}, "barrier_perm": {"barrier": 8.478393833386844, "losses": [3.9511041908736955, 6.7692144882888945, 9.620060810604208, 12.430626477902806, 9.723814046701728, 6.606570488319472, 3.9533610981582274]}, "secs": 17.478742599487305} |
| {"set": "set1_polypythia", "size": "31m", "pair": [2, 9], "parent_nll": {"a": 3.9511041908736955, "b": 3.9759781869190314}, "floor": 3.9511041908736955, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 0, "rejected": ["heads"]}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.014224111172640514, "weight_cosine_bn": 0.19321010782185946, "d_raw": 1.4041220323779038, "qmd_perm": 1.2541758436459267, "coord_share_perm": 0.10678999778818421, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.2029917587178551, "coord_share_orth": 0.14324273034832394, "d_raw_bn_perm": 1.2321219005458284, "qmd_bn_perm": 1.1471905400338451, "coordinate_gap_bn_perm": 0.08493136051198324, "coord_fraction_bn_perm": 0.06893097223120437, "d_raw_bn_orth": 1.2321219005458284, "qmd_bn_orth": 1.111593625227182, "coordinate_gap_bn_orth": 0.1205282753186463, "coord_fraction_bn_orth": 0.09782171331038952, "bnd_raw": 1.2321219005458284, "bnd_perm": 1.1471905400338451, "bnd_orth": 1.111593625227182, "coord_share_bnd_perm": 0.06893097223120437, "coord_share_bnd_orth": 0.09782171331038952, "cka_mean": 0.5192051553687017, "cka_last": 0.7973658594379667, "qmd_act_perm": 0.9020626038023356, "aligned_cka_perm": 0.09793739619766444, "qmd_act_procrustes": 0.9020626038023356, "aligned_cka_procrustes": 0.09793739619766441, "qmd_act_ot": 0.9115810104762163, "aligned_cka_ot": 0.08841898952378366, "task_vector_cosine": 0.3196630350324947}, "rungs": {"M0_naive_avg": {"nll": 26.00464074221298, "delta_floor": 22.053536551339285, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.413962168236301, "delta_floor": 6.462857977362606, "delta_vs_naive": -15.59067857397668}, "M1_orth_avg": {"nll": 15.735170328298272, "delta_floor": 11.784066137424578, "delta_vs_naive": -10.269470413914709}, "M2_task_arith": {"nll": 93.8501100782779, "delta_floor": 89.8990058874042, "delta_vs_naive": 67.84546933606491}, "M3_ties": {"nll": 93.59452462491846, "delta_floor": 89.64342043404477, "delta_vs_naive": 67.58988388270548}}, "barrier_naive": {"barrier": 22.041099553316617, "losses": [3.9511041908736955, 8.960248555222602, 19.596198732061318, 26.00464074221298, 19.443802745841488, 9.368022642490216, 3.9759781869190314]}, "barrier_perm": {"barrier": 6.450421178410897, "losses": [3.9511041908736955, 6.631700091477088, 9.53038650980512, 10.413962168236301, 9.500720796130953, 6.478743521434687, 3.975977788777112]}, "secs": 16.706932067871094} |
| {"set": "set1_polypythia", "size": "31m", "pair": [3, 4], "parent_nll": {"a": 3.9877181976975296, "b": 3.8991993843770385}, "floor": 3.8991993843770385, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.008899485150106488, "weight_cosine_bn": 0.1894807920165356, "d_raw": 1.4167232228979638, "qmd_perm": 1.3542399367764837, "coord_share_perm": 0.044104088301501886, "norm_ratio_perm": 1.0000000000000013, "qmd_orth": 1.32416639969413, "coord_share_orth": 0.06533161997196966, "d_raw_bn_perm": 1.2366948629959509, "qmd_bn_perm": 1.177732180669271, "coordinate_gap_bn_perm": 0.05896268232667978, "coord_fraction_bn_perm": 0.04767763179984426, "d_raw_bn_orth": 1.2366948629959509, "qmd_bn_orth": 1.1478223762798705, "coordinate_gap_bn_orth": 0.08887248671608039, "coord_fraction_bn_orth": 0.07186290602095868, "bnd_raw": 1.2366948629959509, "bnd_perm": 1.177732180669271, "bnd_orth": 1.1478223762798705, "coord_share_bnd_perm": 0.04767763179984426, "coord_share_bnd_orth": 0.07186290602095868, "cka_mean": 0.5324297320135819, "cka_last": 0.7778417450300324, "qmd_act_perm": 0.9067923136594976, "aligned_cka_perm": 0.0932076863405024, "qmd_act_procrustes": 0.9067923136594975, "aligned_cka_procrustes": 0.09320768634050247, "qmd_act_ot": 0.7304760729696924, "aligned_cka_ot": 0.26952392703030753, "task_vector_cosine": 0.382460628039637}, "rungs": {"M0_naive_avg": {"nll": 16.85812706396771, "delta_floor": 12.958927679590673, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 16.466605129851597, "delta_floor": 12.56740574547456, "delta_vs_naive": -0.39152193411611336}, "M1_orth_avg": {"nll": 10.159093370331865, "delta_floor": 6.259893985954827, "delta_vs_naive": -6.699033693635846}, "M2_task_arith": {"nll": 54.16284068207762, "delta_floor": 50.26364129770058, "delta_vs_naive": 37.304713618109915}, "M3_ties": {"nll": 65.50613839285714, "delta_floor": 61.6069390084801, "delta_vs_naive": 48.648011328889424}}, "barrier_naive": {"barrier": 12.914668272930427, "losses": [3.9877181976975296, 8.02818717384214, 14.474931073670907, 16.85812706396771, 13.606070422068656, 8.158369707579093, 3.8991993843770385]}, "barrier_perm": {"barrier": 12.52314729435492, "losses": [3.9877181976975296, 9.224425592689986, 14.697299387434768, 16.466605129851597, 14.018623804937215, 9.305489835596054, 3.8991974732958252]}, "secs": 16.66912269592285} |
| {"set": "set1_polypythia", "size": "31m", "pair": [3, 5], "parent_nll": {"a": 3.9877181976975296, "b": 4.280649761242254}, "floor": 3.9877181976975296, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.046293640271043594, "weight_cosine_bn": 0.20940844352864454, "d_raw": 1.3855864099602693, "qmd_perm": 1.0728858145520068, "coord_share_perm": 0.22568104966995808, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.0650672293116321, "coord_share_orth": 0.23132384840424916, "d_raw_bn_perm": 1.2027896517378494, "qmd_bn_perm": 1.1426602045252388, "coordinate_gap_bn_perm": 0.0601294472126106, "coord_fraction_bn_perm": 0.04999165658411895, "d_raw_bn_orth": 1.2027896517378494, "qmd_bn_orth": 1.0926935421162214, "coordinate_gap_bn_orth": 0.11009610962162797, "coord_fraction_bn_orth": 0.09153396810702163, "bnd_raw": 1.2027896517378494, "bnd_perm": 1.1426602045252388, "bnd_orth": 1.0926935421162214, "coord_share_bnd_perm": 0.04999165658411895, "coord_share_bnd_orth": 0.09153396810702163, "cka_mean": 0.5887365056244115, "cka_last": 0.7807924536952568, "qmd_act_perm": 0.749591371400337, "aligned_cka_perm": 0.25040862859966295, "qmd_act_procrustes": 0.7495913714003369, "aligned_cka_procrustes": 0.25040862859966306, "qmd_act_ot": 0.6830043674263616, "aligned_cka_ot": 0.3169956325736384, "task_vector_cosine": 0.3480920733977655}, "rungs": {"M0_naive_avg": {"nll": 25.463644865052185, "delta_floor": 21.475926667354656, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.86905175972358, "delta_floor": 8.88133356202605, "delta_vs_naive": -12.594593105328604}, "M1_orth_avg": {"nll": 18.69163175758317, "delta_floor": 14.703913559885642, "delta_vs_naive": -6.772013107469014}, "M2_task_arith": {"nll": 113.42972572162427, "delta_floor": 109.44200752392673, "delta_vs_naive": 87.96608085657208}, "M3_ties": {"nll": 122.85993303571429, "delta_floor": 118.87221483801676, "delta_vs_naive": 97.3962881706621}}, "barrier_naive": {"barrier": 21.329460885582293, "losses": [3.9877181976975296, 8.908709561521526, 19.993004805732223, 25.463644865052185, 25.175322590508806, 11.984143122146119, 4.280649761242254]}, "barrier_perm": {"barrier": 8.734868735794295, "losses": [3.9877181976975296, 6.636036971777153, 10.949161099050066, 12.86905175972358, 11.01071925452544, 7.383648279517287, 4.28064785016104]}, "secs": 17.49046230316162} |
| {"set": "set1_polypythia", "size": "31m", "pair": [3, 6], "parent_nll": {"a": 3.9877181976975296, "b": 3.9135810667910143}, "floor": 3.9135810667910143, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.01820983502605153, "weight_cosine_bn": 0.1898642201734365, "d_raw": 1.4085910875948524, "qmd_perm": 1.2271285763254978, "coord_share_perm": 0.12882554267697313, "norm_ratio_perm": 0.9999999999999996, "qmd_orth": 1.2155457235873683, "coord_share_orth": 0.13704854851602535, "d_raw_bn_perm": 1.222434431781755, "qmd_bn_perm": 1.1388930854423067, "coordinate_gap_bn_perm": 0.08354134633944832, "coord_fraction_bn_perm": 0.06834014501512602, "d_raw_bn_orth": 1.222434431781755, "qmd_bn_orth": 1.1174377179090527, "coordinate_gap_bn_orth": 0.10499671387270237, "coord_fraction_bn_orth": 0.0858914892634894, "bnd_raw": 1.222434431781755, "bnd_perm": 1.1388930854423067, "bnd_orth": 1.1174377179090527, "coord_share_bnd_perm": 0.06834014501512602, "coord_share_bnd_orth": 0.0858914892634894, "cka_mean": 0.7257581440248366, "cka_last": 0.7776726556489155, "qmd_act_perm": 0.42833690340354724, "aligned_cka_perm": 0.5716630965964528, "qmd_act_procrustes": 0.42833690340354713, "aligned_cka_procrustes": 0.5716630965964529, "qmd_act_ot": 0.559851651532683, "aligned_cka_ot": 0.440148348467317, "task_vector_cosine": 0.3795255747381083}, "rungs": {"M0_naive_avg": {"nll": 20.131855048312133, "delta_floor": 16.21827398152112, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.50434229503017, "delta_floor": 7.590761228239156, "delta_vs_naive": -8.627512753281962}, "M1_orth_avg": {"nll": 13.328096015268265, "delta_floor": 9.414514948477251, "delta_vs_naive": -6.8037590330438675}, "M2_task_arith": {"nll": 71.09083496412264, "delta_floor": 67.17725389733162, "delta_vs_naive": 50.9589799158105}, "M3_ties": {"nll": 95.08500998858447, "delta_floor": 91.17142892179346, "delta_vs_naive": 74.95315494027234}}, "barrier_naive": {"barrier": 16.18120541606786, "losses": [3.9877181976975296, 7.921168377721379, 14.778537857244782, 20.131855048312133, 17.16549453685584, 8.808393404986138, 3.9135810667910143]}, "barrier_perm": {"barrier": 7.5536936183265055, "losses": [3.9877181976975296, 6.586443618007991, 9.785409786774299, 11.50434229503017, 10.414832665728962, 7.415094006084883, 3.913579155709801]}, "secs": 16.582630157470703} |
| {"set": "set1_polypythia", "size": "31m", "pair": [3, 7], "parent_nll": {"a": 3.9877181976975296, "b": 3.9745389835086433}, "floor": 3.9745389835086433, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.02764285718363594, "weight_cosine_bn": 0.19045508287258792, "d_raw": 1.396332190866117, "qmd_perm": 1.1100136444563278, "coord_share_perm": 0.20505045166379182, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.0524901705393912, "coord_share_orth": 0.24624657554693163, "d_raw_bn_perm": 1.2000729669534345, "qmd_bn_perm": 1.1107424534184207, "coordinate_gap_bn_perm": 0.08933051353501376, "coord_fraction_bn_perm": 0.07443756837702352, "d_raw_bn_orth": 1.2000729669534345, "qmd_bn_orth": 1.0675469235326247, "coordinate_gap_bn_orth": 0.13252604342080976, "coord_fraction_bn_orth": 0.1104316546328404, "bnd_raw": 1.2000729669534345, "bnd_perm": 1.1107424534184207, "bnd_orth": 1.0675469235326247, "coord_share_bnd_perm": 0.07443756837702352, "coord_share_bnd_orth": 0.1104316546328404, "cka_mean": 0.663981800423235, "cka_last": 0.8243832187517793, "qmd_act_perm": 0.3292445909157167, "aligned_cka_perm": 0.6707554090842833, "qmd_act_procrustes": 0.32924459091571656, "aligned_cka_procrustes": 0.6707554090842834, "qmd_act_ot": 0.3842454182687943, "aligned_cka_ot": 0.6157545817312057, "task_vector_cosine": 0.338907998782958}, "rungs": {"M0_naive_avg": {"nll": 24.561608162100455, "delta_floor": 20.58706917859181, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.49966205713878, "delta_floor": 10.525123073630137, "delta_vs_naive": -10.061946104961676}, "M1_orth_avg": {"nll": 15.25106893142531, "delta_floor": 11.276529947916668, "delta_vs_naive": -9.310539230675145}, "M2_task_arith": {"nll": 97.08158787915852, "delta_floor": 93.10704889564988, "delta_vs_naive": 72.51997971705806}, "M3_ties": {"nll": 99.02276225130463, "delta_floor": 95.04822326779599, "delta_vs_naive": 74.46115408920417}}, "barrier_naive": {"barrier": 20.58047957149737, "losses": [3.9877181976975296, 10.025062237544846, 20.77862735954827, 24.561608162100455, 18.217128129076972, 8.291776872349967, 3.9745389835086433]}, "barrier_perm": {"barrier": 10.518534183191148, "losses": [3.9877181976975296, 6.430152848275441, 10.192638578869047, 14.49966205713878, 11.35533911499103, 6.4921043679672215, 3.9745375501977334]}, "secs": 16.011452198028564} |
| {"set": "set1_polypythia", "size": "31m", "pair": [3, 8], "parent_nll": {"a": 3.9877181976975296, "b": 3.953362212955602}, "floor": 3.953362212955602, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.03013416431939921, "weight_cosine_bn": 0.1951868262603274, "d_raw": 1.393457909958974, "qmd_perm": 1.1129815940385968, "coord_share_perm": 0.20128079500344212, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.1006156761006622, "coord_share_orth": 0.21015506228453898, "d_raw_bn_perm": 1.1946518517151081, "qmd_bn_perm": 1.0983967277859787, "coordinate_gap_bn_perm": 0.09625512392912938, "coord_fraction_bn_perm": 0.08057169441535642, "d_raw_bn_orth": 1.1946518517151081, "qmd_bn_orth": 1.0675857357475467, "coordinate_gap_bn_orth": 0.12706611596756145, "coord_fraction_bn_orth": 0.10636246516936154, "bnd_raw": 1.1946518517151081, "bnd_perm": 1.0983967277859787, "bnd_orth": 1.0675857357475467, "coord_share_bnd_perm": 0.08057169441535642, "coord_share_bnd_orth": 0.10636246516936154, "cka_mean": 0.7067056485437985, "cka_last": 0.8185417492675865, "qmd_act_perm": 0.46195374004859824, "aligned_cka_perm": 0.5380462599514018, "qmd_act_procrustes": 0.4619537400485981, "aligned_cka_procrustes": 0.5380462599514019, "qmd_act_ot": 0.4075360560861646, "aligned_cka_ot": 0.5924639439138354, "task_vector_cosine": 0.34951271792233474}, "rungs": {"M0_naive_avg": {"nll": 27.147996040239725, "delta_floor": 23.19463382728412, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 9.885503302348337, "delta_floor": 5.932141089392735, "delta_vs_naive": -17.26249273789139}, "M1_orth_avg": {"nll": 12.677220931180692, "delta_floor": 8.72385871822509, "delta_vs_naive": -14.470775109059034}, "M2_task_arith": {"nll": 93.9069048638291, "delta_floor": 89.9535426508735, "delta_vs_naive": 66.75890882358937}, "M3_ties": {"nll": 81.85519865052186, "delta_floor": 77.90183643756626, "delta_vs_naive": 54.70720261028213}}, "barrier_naive": {"barrier": 23.17745583491316, "losses": [3.9877181976975296, 11.913827437010763, 22.851848525154924, 27.147996040239725, 21.448969035388128, 9.135947310216896, 3.953362212955602]}, "barrier_perm": {"barrier": 5.9149622609237404, "losses": [3.9877181976975296, 6.3542947091079585, 9.486624342588062, 9.885503302348337, 9.408291353249348, 6.335812801950832, 3.9533638851516635]}, "secs": 16.98219132423401} |
| {"set": "set1_polypythia", "size": "31m", "pair": [3, 9], "parent_nll": {"a": 3.9877181976975296, "b": 3.9759781869190314}, "floor": 3.9759781869190314, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 0, "rejected": ["heads"]}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.07662074684846204, "weight_cosine_bn": 0.19731443205382604, "d_raw": 1.359175021412025, "qmd_perm": 1.160818448000261, "coord_share_perm": 0.14593894847014963, "norm_ratio_perm": 0.9999999999999994, "qmd_orth": 1.13487782161033, "coord_share_orth": 0.16502451580420924, "d_raw_bn_perm": 1.2065058289482067, "qmd_bn_perm": 1.1197816114771728, "coordinate_gap_bn_perm": 0.08672421747103387, "coord_fraction_bn_perm": 0.07188047947239283, "d_raw_bn_orth": 1.2065058289482067, "qmd_bn_orth": 1.090029381903724, "coordinate_gap_bn_orth": 0.11647644704448279, "coord_fraction_bn_orth": 0.09654031024949399, "bnd_raw": 1.2065058289482067, "bnd_perm": 1.1197816114771728, "bnd_orth": 1.090029381903724, "coord_share_bnd_perm": 0.07188047947239283, "coord_share_bnd_orth": 0.09654031024949399, "cka_mean": 0.6925462268860774, "cka_last": 0.7939724076342959, "qmd_act_perm": 0.30447903810352484, "aligned_cka_perm": 0.6955209618964752, "qmd_act_procrustes": 0.30447903810352495, "aligned_cka_procrustes": 0.695520961896475, "qmd_act_ot": 0.38865697708843827, "aligned_cka_ot": 0.6113430229115617, "task_vector_cosine": 0.3979052123474674}, "rungs": {"M0_naive_avg": {"nll": 25.526572310216896, "delta_floor": 21.550594123297863, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.812830935563438, "delta_floor": 7.836852748644407, "delta_vs_naive": -13.713741374653457}, "M1_orth_avg": {"nll": 15.323916162141227, "delta_floor": 11.347937975222196, "delta_vs_naive": -10.202656148075668}, "M2_task_arith": {"nll": 93.02446948385519, "delta_floor": 89.04849129693615, "delta_vs_naive": 67.4978971736383}, "M3_ties": {"nll": 94.5079093281148, "delta_floor": 90.53193114119577, "delta_vs_naive": 68.98133701789791}}, "barrier_naive": {"barrier": 21.544724117908615, "losses": [3.9877181976975296, 8.245846583496412, 17.21377481857469, 25.526572310216896, 21.482240959311806, 10.403437843994618, 3.9759781869190314]}, "barrier_perm": {"barrier": 7.830982663626774, "losses": [3.9877181976975296, 6.151119224712573, 9.682074121921886, 11.812830935563438, 9.063683914811644, 6.073328663924902, 3.975978346175799]}, "secs": 17.5114643573761} |
| {"set": "set1_polypythia", "size": "31m", "pair": [4, 5], "parent_nll": {"a": 3.8991993843770385, "b": 4.280649761242254}, "floor": 3.8991993843770385, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.08011504227658788, "weight_cosine_bn": 0.19110468632136027, "d_raw": 1.3829778571591267, "qmd_perm": 1.3512191762279453, "coord_share_perm": 0.02296398367246397, "norm_ratio_perm": 1.0, "qmd_orth": 1.3265468216099003, "coord_share_orth": 0.04080400510905168, "d_raw_bn_perm": 1.2574538485007207, "qmd_bn_perm": 1.1713659917158936, "coordinate_gap_bn_perm": 0.08608785678482711, "coord_fraction_bn_perm": 0.06846204088322672, "d_raw_bn_orth": 1.2574538485007207, "qmd_bn_orth": 1.1585837014863756, "coordinate_gap_bn_orth": 0.09887014701434516, "coord_fraction_bn_orth": 0.0786272570816252, "bnd_raw": 1.2574538485007207, "bnd_perm": 1.1713659917158936, "bnd_orth": 1.1585837014863756, "coord_share_bnd_perm": 0.06846204088322672, "coord_share_bnd_orth": 0.0786272570816252, "cka_mean": 0.8270340852200461, "cka_last": 0.7800071556053687, "qmd_act_perm": 0.1670555323044255, "aligned_cka_perm": 0.8329444676955745, "qmd_act_procrustes": 0.16705553230442582, "aligned_cka_procrustes": 0.8329444676955742, "qmd_act_ot": 0.1610154596122303, "aligned_cka_ot": 0.8389845403877697, "task_vector_cosine": 0.38131630272186356}, "rungs": {"M0_naive_avg": {"nll": 29.1645937805773, "delta_floor": 25.26539439620026, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 25.37294240256034, "delta_floor": 21.473743018183303, "delta_vs_naive": -3.791651378016958}, "M1_orth_avg": {"nll": 18.794073991968364, "delta_floor": 14.894874607591326, "delta_vs_naive": -10.370519788608934}, "M2_task_arith": {"nll": 103.96958832762557, "delta_floor": 100.07038894324853, "delta_vs_naive": 74.80499454704827}, "M3_ties": {"nll": 96.72157330397913, "delta_floor": 92.82237391960209, "delta_vs_naive": 67.55697952340182}}, "barrier_naive": {"barrier": 25.074669207767652, "losses": [3.8991993843770385, 9.138386486872147, 18.810925269080236, 29.1645937805773, 24.268420911815067, 12.300167474416993, 4.280649761242254]}, "barrier_perm": {"barrier": 21.283016794581705, "losses": [3.8991993843770385, 11.848262062744618, 20.08911499103066, 25.37294240256034, 21.194546793460535, 12.964883245678408, 4.280651831580235]}, "secs": 17.081344604492188} |
| {"set": "set1_polypythia", "size": "31m", "pair": [4, 6], "parent_nll": {"a": 3.8991993843770385, "b": 3.9135810667910143}, "floor": 3.8991993843770385, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.05286204925389954, "weight_cosine_bn": 0.19823318711260132, "d_raw": 1.3764025054287667, "qmd_perm": 1.3402037553771038, "coord_share_perm": 0.02629953804129889, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.3162104145761977, "coord_share_orth": 0.0437314598129262, "d_raw_bn_perm": 1.2239523356776985, "qmd_bn_perm": 1.1546505286784317, "coordinate_gap_bn_perm": 0.0693018069992668, "coord_fraction_bn_perm": 0.05662132828146009, "d_raw_bn_orth": 1.2239523356776985, "qmd_bn_orth": 1.1277917699602205, "coordinate_gap_bn_orth": 0.096160565717478, "coord_fraction_bn_orth": 0.0785656131488439, "bnd_raw": 1.2239523356776985, "bnd_perm": 1.1546505286784317, "bnd_orth": 1.1277917699602205, "coord_share_bnd_perm": 0.05662132828146009, "coord_share_bnd_orth": 0.0785656131488439, "cka_mean": 0.5665049842486876, "cka_last": 0.7753557975310743, "qmd_act_perm": 0.756455360874944, "aligned_cka_perm": 0.24354463912505603, "qmd_act_procrustes": 0.7564553608749438, "aligned_cka_procrustes": 0.24354463912505614, "qmd_act_ot": 0.7417436513376314, "aligned_cka_ot": 0.2582563486623686, "task_vector_cosine": 0.4126817193028947}, "rungs": {"M0_naive_avg": {"nll": 15.952360886028213, "delta_floor": 12.053161501651175, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.749398964958415, "delta_floor": 8.850199580581377, "delta_vs_naive": -3.2029619210697984}, "M1_orth_avg": {"nll": 10.843338161998533, "delta_floor": 6.944138777621495, "delta_vs_naive": -5.10902272402968}, "M2_task_arith": {"nll": 50.838483060176124, "delta_floor": 46.93928367579908, "delta_vs_naive": 34.886122174147914}, "M3_ties": {"nll": 36.68002894651011, "delta_floor": 32.78082956213307, "delta_vs_naive": 20.7276680604819}}, "barrier_naive": {"barrier": 12.045970660444187, "losses": [3.8991993843770385, 7.562185627140411, 12.510368252609263, 15.952360886028213, 14.368978501610405, 8.018459611209638, 3.9135810667910143]}, "barrier_perm": {"barrier": 8.84300997361434, "losses": [3.8991993843770385, 8.37932859894814, 11.683904300697163, 12.749398964958415, 12.054984673128669, 8.02110916605512, 3.9135785983111138]}, "secs": 19.322500467300415} |
| {"set": "set1_polypythia", "size": "31m", "pair": [4, 7], "parent_nll": {"a": 3.8991993843770385, "b": 3.9745389835086433}, "floor": 3.8991993843770385, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.05242684503779979, "weight_cosine_bn": 0.2022643585540628, "d_raw": 1.3955674214746379, "qmd_perm": 1.388957954568164, "coord_share_perm": 0.0047360427054752, "norm_ratio_perm": 1.0000000000000004, "qmd_orth": 1.3340390697519864, "coord_share_orth": 0.044088412194114586, "d_raw_bn_perm": 1.2255637643685604, "qmd_bn_perm": 1.157955465462047, "coordinate_gap_bn_perm": 0.06760829890651343, "coord_fraction_bn_perm": 0.05516506025400223, "d_raw_bn_orth": 1.2255637643685604, "qmd_bn_orth": 1.1356742357893033, "coordinate_gap_bn_orth": 0.08988952857925714, "coord_fraction_bn_orth": 0.07334545226667204, "bnd_raw": 1.2255637643685604, "bnd_perm": 1.157955465462047, "bnd_orth": 1.1356742357893033, "coord_share_bnd_perm": 0.05516506025400223, "coord_share_bnd_orth": 0.07334545226667204, "cka_mean": 0.5138434516404222, "cka_last": 0.8326566806357468, "qmd_act_perm": 0.9461882287755282, "aligned_cka_perm": 0.05381177122447181, "qmd_act_procrustes": 0.9461882287755281, "aligned_cka_procrustes": 0.05381177122447188, "qmd_act_ot": 0.9615749680786221, "aligned_cka_ot": 0.03842503192137792, "task_vector_cosine": 0.3655904742018724}, "rungs": {"M0_naive_avg": {"nll": 14.179876697040118, "delta_floor": 10.28067731266308, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.594224903681507, "delta_floor": 9.695025519304469, "delta_vs_naive": -0.5856517933586112}, "M1_orth_avg": {"nll": 14.64181847021771, "delta_floor": 10.742619085840673, "delta_vs_naive": 0.46194177317759255}, "M2_task_arith": {"nll": 86.3841680936073, "delta_floor": 82.48496870923026, "delta_vs_naive": 72.20429139656719}, "M3_ties": {"nll": 87.2041060216895, "delta_floor": 83.30490663731246, "delta_vs_naive": 73.02422932464938}}, "barrier_naive": {"barrier": 10.243007513097277, "losses": [3.8991993843770385, 8.61551785204664, 13.888905026908024, 14.179876697040118, 11.808284791870514, 7.15594502328971, 3.9745389835086433]}, "barrier_perm": {"barrier": 9.657356117880585, "losses": [3.8991993843770385, 8.106452160541014, 12.659704279293052, 13.594224903681507, 12.061225945857796, 7.6549925085616435, 3.9745381872248045]}, "secs": 17.336464643478394} |
| {"set": "set1_polypythia", "size": "31m", "pair": [4, 8], "parent_nll": {"a": 3.8991993843770385, "b": 3.953362212955602}, "floor": 3.8991993843770385, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": -0.02898441721807876, "weight_cosine_bn": 0.20021452774787044, "d_raw": 1.4488026160543037, "qmd_perm": 1.4138950670802493, "coord_share_perm": 0.024094068154792772, "norm_ratio_perm": 1.0, "qmd_orth": 1.3378601079606613, "coord_share_orth": 0.07657530906162033, "d_raw_bn_perm": 1.2176475394304467, "qmd_bn_perm": 1.1525183206133243, "coordinate_gap_bn_perm": 0.06512921881712241, "coord_fraction_bn_perm": 0.05348774313426243, "d_raw_bn_orth": 1.2176475394304467, "qmd_bn_orth": 1.11630865090641, "coordinate_gap_bn_orth": 0.10133888852403672, "coord_fraction_bn_orth": 0.08322514130110087, "bnd_raw": 1.2176475394304467, "bnd_perm": 1.1525183206133243, "bnd_orth": 1.11630865090641, "coord_share_bnd_perm": 0.05348774313426243, "coord_share_bnd_orth": 0.08322514130110087, "cka_mean": 0.5362186587546206, "cka_last": 0.7989284632342831, "qmd_act_perm": 0.8592409919676537, "aligned_cka_perm": 0.14075900803234634, "qmd_act_procrustes": 0.8592409919676537, "aligned_cka_procrustes": 0.14075900803234634, "qmd_act_ot": 0.8753448367236702, "aligned_cka_ot": 0.12465516327632972, "task_vector_cosine": 0.3218707995952458}, "rungs": {"M0_naive_avg": {"nll": 15.235408576422863, "delta_floor": 11.336209192045825, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 15.013990070022016, "delta_floor": 11.114790685644978, "delta_vs_naive": -0.22141850640084648}, "M1_orth_avg": {"nll": 12.86496013484589, "delta_floor": 8.965760750468853, "delta_vs_naive": -2.370448441576972}, "M2_task_arith": {"nll": 54.754659215998046, "delta_floor": 50.855459831621005, "delta_vs_naive": 39.51925063957518}, "M3_ties": {"nll": 57.00282330397913, "delta_floor": 53.103623919602086, "delta_vs_naive": 41.767414727556265}}, "barrier_naive": {"barrier": 11.309127777756544, "losses": [3.8991993843770385, 7.87653141307893, 12.232608205418298, 15.235408576422863, 14.09252499694227, 7.299954229604941, 3.953362212955602]}, "barrier_perm": {"barrier": 11.087709470426656, "losses": [3.8991993843770385, 7.9273083631462, 14.197234729187052, 15.013990070022016, 12.699822014636334, 7.779023908900033, 3.9533618148136824]}, "secs": 19.234622716903687} |
| {"set": "set1_polypythia", "size": "31m", "pair": [4, 9], "parent_nll": {"a": 3.8991993843770385, "b": 3.9759781869190314}, "floor": 3.8991993843770385, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": -0.040497092454427765, "weight_cosine_bn": 0.18032298272820887, "d_raw": 1.45404529909965, "qmd_perm": 1.3852885710895189, "coord_share_perm": 0.04728651029834182, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.3265092726964596, "coord_share_orth": 0.08771117824331963, "d_raw_bn_perm": 1.261064797304242, "qmd_bn_perm": 1.2128961495753747, "coordinate_gap_bn_perm": 0.0481686477288672, "coord_fraction_bn_perm": 0.0381968062480505, "d_raw_bn_orth": 1.261064797304242, "qmd_bn_orth": 1.169336970104841, "coordinate_gap_bn_orth": 0.09172782719940087, "coord_fraction_bn_orth": 0.07273839329706608, "bnd_raw": 1.261064797304242, "bnd_perm": 1.2128961495753747, "bnd_orth": 1.169336970104841, "coord_share_bnd_perm": 0.0381968062480505, "coord_share_bnd_orth": 0.07273839329706608, "cka_mean": 0.5077133357815521, "cka_last": 0.7424266491887991, "qmd_act_perm": 0.9262767183817313, "aligned_cka_perm": 0.07372328161826873, "qmd_act_procrustes": 0.9262767183817313, "aligned_cka_procrustes": 0.07372328161826867, "qmd_act_ot": 0.9423274736650193, "aligned_cka_ot": 0.0576725263349807, "task_vector_cosine": 0.3366254011403407}, "rungs": {"M0_naive_avg": {"nll": 21.778808275236464, "delta_floor": 17.879608890859426, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 20.115154109589042, "delta_floor": 16.215954725212004, "delta_vs_naive": -1.6636541656474222}, "M1_orth_avg": {"nll": 13.214253225905088, "delta_floor": 9.31505384152805, "delta_vs_naive": -8.564555049331377}, "M2_task_arith": {"nll": 79.96714214367253, "delta_floor": 76.06794275929549, "delta_vs_naive": 58.18833386843607}, "M3_ties": {"nll": 49.52838592628832, "delta_floor": 45.62918654191128, "delta_vs_naive": 27.749577651051858}}, "barrier_naive": {"barrier": 17.84121948958843, "losses": [3.8991993843770385, 9.139088172190965, 15.263518351475865, 21.778808275236464, 16.477812347113503, 8.171653633092792, 3.9759781869190314]}, "barrier_perm": {"barrier": 16.177566120224846, "losses": [3.8991993843770385, 9.956244203053654, 17.13370242681833, 20.115154109589042, 17.635166952054796, 10.536106057363014, 3.9759765943513536]}, "secs": 17.48580026626587} |
| {"set": "set1_polypythia", "size": "31m", "pair": [5, 6], "parent_nll": {"a": 4.280649761242254, "b": 3.9135810667910143}, "floor": 3.9135810667910143, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.08456027197056581, "weight_cosine_bn": 0.19230959772043135, "d_raw": 1.3769884303173758, "qmd_perm": 1.1906333758357688, "coord_share_perm": 0.13533523621447924, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.1971865388050502, "coord_share_orth": 0.13057618172643898, "d_raw_bn_perm": 1.2098537331087607, "qmd_bn_perm": 1.1424011499998492, "coordinate_gap_bn_perm": 0.06745258310891145, "coord_fraction_bn_perm": 0.055752675933469845, "d_raw_bn_orth": 1.2098537331087607, "qmd_bn_orth": 1.101486252580956, "coordinate_gap_bn_orth": 0.10836748052780476, "coord_fraction_bn_orth": 0.08957072872714192, "bnd_raw": 1.2098537331087607, "bnd_perm": 1.1424011499998492, "bnd_orth": 1.101486252580956, "coord_share_bnd_perm": 0.055752675933469845, "coord_share_bnd_orth": 0.08957072872714192, "cka_mean": 0.5688896728737776, "cka_last": 0.7434494518985699, "qmd_act_perm": 0.7074613235610989, "aligned_cka_perm": 0.292538676438901, "qmd_act_procrustes": 0.7074613235610993, "aligned_cka_procrustes": 0.29253867643890075, "qmd_act_ot": 0.7101288486077294, "aligned_cka_ot": 0.2898711513922706, "task_vector_cosine": 0.37663463678139275}, "rungs": {"M0_naive_avg": {"nll": 32.73226389228637, "delta_floor": 28.818682825495355, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.029667943268917, "delta_floor": 10.116086876477903, "delta_vs_naive": -18.70259594901745}, "M1_orth_avg": {"nll": 12.38093741081621, "delta_floor": 8.467356344025196, "delta_vs_naive": -20.35132648147016}, "M2_task_arith": {"nll": 122.54041554549902, "delta_floor": 118.626834478708, "delta_vs_naive": 89.80815165321265}, "M3_ties": {"nll": 127.1990709597195, "delta_floor": 123.2854898929285, "delta_vs_naive": 94.46680706743314}}, "barrier_naive": {"barrier": 28.635148478269734, "losses": [4.280649761242254, 13.237436233590183, 29.92116407778865, 32.73226389228637, 21.14729913262394, 10.295006599600457, 3.9135810667910143]}, "barrier_perm": {"barrier": 9.932553843120617, "losses": [4.280649761242254, 7.770905476649136, 13.359669306506849, 14.029667943268917, 11.041050024461839, 7.054747699058219, 3.913578439054346]}, "secs": 18.95354390144348} |
| {"set": "set1_polypythia", "size": "31m", "pair": [5, 7], "parent_nll": {"a": 4.280649761242254, "b": 3.9745389835086433}, "floor": 3.9745389835086433, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.11856781367401954, "weight_cosine_bn": 0.20192391573117605, "d_raw": 1.32834851422406, "qmd_perm": 1.0130132275957564, "coord_share_perm": 0.23738897077963253, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.0271080484727058, "coord_share_orth": 0.22677818548795575, "d_raw_bn_perm": 1.2069012491435878, "qmd_bn_perm": 1.1084205166658017, "coordinate_gap_bn_perm": 0.0984807324777861, "coord_fraction_bn_perm": 0.08159800360441058, "d_raw_bn_orth": 1.2069012491435878, "qmd_bn_orth": 1.0976215182535476, "coordinate_gap_bn_orth": 0.10927973089004017, "coord_fraction_bn_orth": 0.0905457103201978, "bnd_raw": 1.2069012491435878, "bnd_perm": 1.1084205166658017, "bnd_orth": 1.0976215182535476, "coord_share_bnd_perm": 0.08159800360441058, "coord_share_bnd_orth": 0.0905457103201978, "cka_mean": 0.5267447856792665, "cka_last": 0.8220086473923692, "qmd_act_perm": 0.85533426739112, "aligned_cka_perm": 0.14466573260888008, "qmd_act_procrustes": 0.85533426739112, "aligned_cka_procrustes": 0.14466573260888008, "qmd_act_ot": 0.8857602479720355, "aligned_cka_ot": 0.11423975202796459, "task_vector_cosine": 0.3638171851872684}, "rungs": {"M0_naive_avg": {"nll": 38.7553612198304, "delta_floor": 34.780822236321754, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.921629744577626, "delta_floor": 10.947090761068981, "delta_vs_naive": -23.833731475252772}, "M1_orth_avg": {"nll": 19.921346904558057, "delta_floor": 15.946807921049412, "delta_vs_naive": -18.83401431527234}, "M2_task_arith": {"nll": 138.474600456621, "delta_floor": 134.50006147311237, "delta_vs_naive": 99.7192392367906}, "M3_ties": {"nll": 144.75641104044357, "delta_floor": 140.78187205693493, "delta_vs_naive": 106.00104982061316}}, "barrier_naive": {"barrier": 34.62776684745495, "losses": [4.280649761242254, 14.549991017918298, 29.366891282411938, 38.7553612198304, 26.82753383887802, 9.490844965447652, 3.9745389835086433]}, "barrier_perm": {"barrier": 10.794035810158288, "losses": [4.280649761242254, 7.029531937989237, 11.982160375387313, 14.921629744577626, 10.922659817351597, 6.4697486991907205, 3.9745381075964206]}, "secs": 17.092549562454224} |
| {"set": "set1_polypythia", "size": "31m", "pair": [5, 8], "parent_nll": {"a": 4.280649761242254, "b": 3.953362212955602}, "floor": 3.953362212955602, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.060293323214221754, "weight_cosine_bn": 0.1916912843532648, "d_raw": 1.3725451080135032, "qmd_perm": 1.0840661183173503, "coord_share_perm": 0.21017814861740394, "norm_ratio_perm": 1.0, "qmd_orth": 1.0920578723618573, "coord_share_orth": 0.20435556836277505, "d_raw_bn_perm": 1.2151760648566161, "qmd_bn_perm": 1.1100238840132843, "coordinate_gap_bn_perm": 0.10515218084333178, "coord_fraction_bn_perm": 0.08653246544626365, "d_raw_bn_orth": 1.2151760648566161, "qmd_bn_orth": 1.1017388874190501, "coordinate_gap_bn_orth": 0.11343717743756598, "coord_fraction_bn_orth": 0.09335040470119112, "bnd_raw": 1.2151760648566161, "bnd_perm": 1.1100238840132843, "bnd_orth": 1.1017388874190501, "coord_share_bnd_perm": 0.08653246544626365, "coord_share_bnd_orth": 0.09335040470119112, "cka_mean": 0.593808537719254, "cka_last": 0.8013130494051084, "qmd_act_perm": 0.678786576024912, "aligned_cka_perm": 0.321213423975088, "qmd_act_procrustes": 0.6787865760249124, "aligned_cka_procrustes": 0.32121342397508756, "qmd_act_ot": 0.6847921607899424, "aligned_cka_ot": 0.31520783921005757, "task_vector_cosine": 0.32956968514465745}, "rungs": {"M0_naive_avg": {"nll": 33.58855695531637, "delta_floor": 29.635194742360767, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 15.81676776286285, "delta_floor": 11.863405549907249, "delta_vs_naive": -17.771789192453518}, "M1_orth_avg": {"nll": 12.215469629097358, "delta_floor": 8.262107416141756, "delta_vs_naive": -21.373087326219014}, "M2_task_arith": {"nll": 148.4332497553816, "delta_floor": 144.479887542426, "delta_vs_naive": 114.84469280006525}, "M3_ties": {"nll": 123.90224182566863, "delta_floor": 119.94887961271303, "delta_vs_naive": 90.31368487035226}}, "barrier_naive": {"barrier": 29.471550968217443, "losses": [4.280649761242254, 14.593226045234019, 27.767702345278867, 33.58855695531637, 22.40907457803327, 9.01083455642531, 3.953362212955602]}, "barrier_perm": {"barrier": 11.699761536878771, "losses": [4.280649761242254, 8.275448912977005, 12.850774497513047, 15.81676776286285, 12.747245813458088, 6.693718658268102, 3.953362690725905]}, "secs": 17.101367235183716} |
| {"set": "set1_polypythia", "size": "31m", "pair": [5, 9], "parent_nll": {"a": 4.280649761242254, "b": 3.9759781869190314}, "floor": 3.9759781869190314, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.0842773592134164, "weight_cosine_bn": 0.191662452693366, "d_raw": 1.35610470946277, "qmd_perm": 1.068609481965143, "coord_share_perm": 0.2120007588584514, "norm_ratio_perm": 0.9999999999999994, "qmd_orth": 1.0610601016899974, "coord_share_orth": 0.2175677185647829, "d_raw_bn_perm": 1.22066497678884, "qmd_bn_perm": 1.1398601518817948, "coordinate_gap_bn_perm": 0.08080482490704521, "coord_fraction_bn_perm": 0.06619738129917972, "d_raw_bn_orth": 1.22066497678884, "qmd_bn_orth": 1.109246058701044, "coordinate_gap_bn_orth": 0.11141891808779603, "coord_fraction_bn_orth": 0.09127723020357463, "bnd_raw": 1.22066497678884, "bnd_perm": 1.1398601518817948, "bnd_orth": 1.109246058701044, "coord_share_bnd_perm": 0.06619738129917972, "coord_share_bnd_orth": 0.09127723020357463, "cka_mean": 0.5171694958676069, "cka_last": 0.7570282402202856, "qmd_act_perm": 0.8352667989626817, "aligned_cka_perm": 0.16473320103731828, "qmd_act_procrustes": 0.8352667989626817, "aligned_cka_procrustes": 0.16473320103731823, "qmd_act_ot": 0.8686293070611459, "aligned_cka_ot": 0.1313706929388541, "task_vector_cosine": 0.3629863188599114}, "rungs": {"M0_naive_avg": {"nll": 27.98955211900685, "delta_floor": 24.013573932087816, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.0743719550106, "delta_floor": 10.098393768091569, "delta_vs_naive": -13.915180163996249}, "M1_orth_avg": {"nll": 13.806831414607796, "delta_floor": 9.830853227688765, "delta_vs_naive": -14.182720704399053}, "M2_task_arith": {"nll": 155.26277621493804, "delta_floor": 151.286798028019, "delta_vs_naive": 127.2732240959312}, "M3_ties": {"nll": 139.02395221787344, "delta_floor": 135.0479740309544, "delta_vs_naive": 111.0344000988666}}, "barrier_naive": {"barrier": 23.861238144926205, "losses": [4.280649761242254, 13.642582902703033, 26.37832273320287, 27.98955211900685, 22.019954235975213, 10.051486757481246, 3.9759781869190314]}, "barrier_perm": {"barrier": 9.946058777213796, "losses": [4.280649761242254, 7.87430484420866, 11.418054111627528, 14.0743719550106, 11.34599870556099, 6.829039133847032, 3.9759765943513536]}, "secs": 17.482443809509277} |
| {"set": "set1_polypythia", "size": "31m", "pair": [6, 7], "parent_nll": {"a": 3.9135810667910143, "b": 3.9745389835086433}, "floor": 3.9135810667910143, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.045983110571240014, "weight_cosine_bn": 0.2008430867254427, "d_raw": 1.3978769482776934, "qmd_perm": 1.2473034435479466, "coord_share_perm": 0.10771585075157471, "norm_ratio_perm": 1.0000000000000004, "qmd_orth": 1.241926108851939, "coord_share_orth": 0.11156263762550726, "d_raw_bn_perm": 1.2159764744287345, "qmd_bn_perm": 1.1144790633551072, "coordinate_gap_bn_perm": 0.10149741107362731, "coord_fraction_bn_perm": 0.08346988055119305, "d_raw_bn_orth": 1.2159764744287345, "qmd_bn_orth": 1.1096659324373381, "coordinate_gap_bn_orth": 0.10631054199139633, "coord_fraction_bn_orth": 0.08742812400325509, "bnd_raw": 1.2159764744287345, "bnd_perm": 1.1144790633551072, "bnd_orth": 1.1096659324373381, "coord_share_bnd_perm": 0.08346988055119305, "coord_share_bnd_orth": 0.08742812400325509, "cka_mean": 0.6225800602696318, "cka_last": 0.7940775193970654, "qmd_act_perm": 0.6870733377301184, "aligned_cka_perm": 0.3129266622698817, "qmd_act_procrustes": 0.6870733377301184, "aligned_cka_procrustes": 0.31292666226988164, "qmd_act_ot": 0.7270282067124146, "aligned_cka_ot": 0.27297179328758536, "task_vector_cosine": 0.35290535906976866}, "rungs": {"M0_naive_avg": {"nll": 21.83980807648402, "delta_floor": 17.926227009693005, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.375793417217057, "delta_floor": 6.462212350426043, "delta_vs_naive": -11.464014659266962}, "M1_orth_avg": {"nll": 16.035360735689824, "delta_floor": 12.12177966889881, "delta_vs_naive": -5.804447340794194}, "M2_task_arith": {"nll": 89.39801196591651, "delta_floor": 85.4844308991255, "delta_vs_naive": 67.55820388943249}, "M3_ties": {"nll": 88.75047649624918, "delta_floor": 84.83689542945817, "delta_vs_naive": 66.91066841976516}}, "barrier_naive": {"barrier": 17.89574805133419, "losses": [3.9135810667910143, 10.051074919479777, 19.699697157330398, 21.83980807648402, 14.105124118354533, 8.019731276500327, 3.9745389835086433]}, "barrier_perm": {"barrier": 6.431733073553692, "losses": [3.9135810667910143, 7.070001471532534, 9.019150944838552, 10.375793417217057, 9.98319936654028, 6.433978673607713, 3.9745396205357144]}, "secs": 22.514400720596313} |
| {"set": "set1_polypythia", "size": "31m", "pair": [6, 8], "parent_nll": {"a": 3.9135810667910143, "b": 3.953362212955602}, "floor": 3.9135810667910143, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.012668920633402532, "weight_cosine_bn": 0.18304376141377196, "d_raw": 1.417765950511938, "qmd_perm": 1.2861834201119677, "coord_share_perm": 0.09280976902602112, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.2255256100168006, "coord_share_orth": 0.13559384778970163, "d_raw_bn_perm": 1.2211671561893147, "qmd_bn_perm": 1.1454177778987982, "coordinate_gap_bn_perm": 0.07574937829051653, "coord_fraction_bn_perm": 0.062030310843680506, "d_raw_bn_orth": 1.2211671561893147, "qmd_bn_orth": 1.1113209132613249, "coordinate_gap_bn_orth": 0.10984624292798983, "coord_fraction_bn_orth": 0.08995184841915338, "bnd_raw": 1.2211671561893147, "bnd_perm": 1.1454177778987982, "bnd_orth": 1.1113209132613249, "coord_share_bnd_perm": 0.062030310843680506, "coord_share_bnd_orth": 0.08995184841915338, "cka_mean": 0.6886465482063774, "cka_last": 0.7944959265333044, "qmd_act_perm": 0.5077093567312747, "aligned_cka_perm": 0.49229064326872535, "qmd_act_procrustes": 0.5077093567312745, "aligned_cka_procrustes": 0.49229064326872557, "qmd_act_ot": 0.6019818027874997, "aligned_cka_ot": 0.39801819721250037, "task_vector_cosine": 0.3402245575562624}, "rungs": {"M0_naive_avg": {"nll": 19.575038603840508, "delta_floor": 15.661457537049493, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.061134532473092, "delta_floor": 9.147553465682078, "delta_vs_naive": -6.513904071367415}, "M1_orth_avg": {"nll": 10.331499650909166, "delta_floor": 6.417918584118151, "delta_vs_naive": -9.243538952931342}, "M2_task_arith": {"nll": 60.63526123206132, "delta_floor": 56.7216801652703, "delta_vs_naive": 41.060222628220814}, "M3_ties": {"nll": 82.03021291992825, "delta_floor": 78.11663185313724, "delta_vs_naive": 62.455174316087735}}, "barrier_naive": {"barrier": 15.6415669639672, "losses": [3.9135810667910143, 9.41548944063927, 17.416336049616763, 19.575038603840508, 15.01957201973255, 7.435810922720972, 3.953362212955602]}, "barrier_perm": {"barrier": 9.127661618545641, "losses": [3.9135810667910143, 6.588055774268184, 10.157901492681834, 13.061134532473092, 11.778215521546803, 6.854481517296559, 3.9533647610638862]}, "secs": 17.294930934906006} |
| {"set": "set1_polypythia", "size": "31m", "pair": [6, 9], "parent_nll": {"a": 3.9135810667910143, "b": 3.9759781869190314}, "floor": 3.9135810667910143, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.0415862796987736, "weight_cosine_bn": 0.19184057368525997, "d_raw": 1.3946365375513428, "qmd_perm": 1.2966739368806557, "coord_share_perm": 0.07024238791469396, "norm_ratio_perm": 0.9999999999999997, "qmd_orth": 1.2634502261766953, "coord_share_orth": 0.09406487485619734, "d_raw_bn_perm": 1.2380168850149176, "qmd_bn_perm": 1.1638921372990219, "coordinate_gap_bn_perm": 0.07412474771589572, "coord_fraction_bn_perm": 0.05987377766257409, "d_raw_bn_orth": 1.2380168850149176, "qmd_bn_orth": 1.1299794640228813, "coordinate_gap_bn_orth": 0.10803742099203628, "coord_fraction_bn_orth": 0.08726651655541393, "bnd_raw": 1.2380168850149176, "bnd_perm": 1.1638921372990219, "bnd_orth": 1.1299794640228813, "coord_share_bnd_perm": 0.05987377766257409, "coord_share_bnd_orth": 0.08726651655541393, "cka_mean": 0.6804403903599973, "cka_last": 0.7724321474572046, "qmd_act_perm": 0.6262050152951745, "aligned_cka_perm": 0.37379498470482553, "qmd_act_procrustes": 0.6262050152951745, "aligned_cka_procrustes": 0.37379498470482553, "qmd_act_ot": 0.6068265981644307, "aligned_cka_ot": 0.3931734018355693, "task_vector_cosine": 0.3804068843568689}, "rungs": {"M0_naive_avg": {"nll": 19.704474860363668, "delta_floor": 15.790893793572653, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.721697842771526, "delta_floor": 7.808116775980512, "delta_vs_naive": -7.9827770175921415}, "M1_orth_avg": {"nll": 15.529291778783431, "delta_floor": 11.615710711992417, "delta_vs_naive": -4.175183081580236}, "M2_task_arith": {"nll": 91.02056578196347, "delta_floor": 87.10698471517246, "delta_vs_naive": 71.3160909215998}, "M3_ties": {"nll": 96.45322437622309, "delta_floor": 92.53964330943208, "delta_vs_naive": 76.74874951585943}}, "barrier_naive": {"barrier": 15.759695233508644, "losses": [3.9135810667910143, 9.341570730389758, 16.29723364624103, 19.704474860363668, 16.296078716161123, 8.462216650358773, 3.9759781869190314]}, "barrier_perm": {"barrier": 7.7769175788894325, "losses": [3.9135810667910143, 7.148504547099233, 10.737075676267938, 11.721697842771526, 10.567041047476353, 6.858285524451647, 3.9759794609731736]}, "secs": 17.253814220428467} |
| {"set": "set1_polypythia", "size": "31m", "pair": [7, 8], "parent_nll": {"a": 3.9745389835086433, "b": 3.953362212955602}, "floor": 3.953362212955602, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.04279125744252196, "weight_cosine_bn": 0.2058947945548001, "d_raw": 1.3838739569143137, "qmd_perm": 1.1180634039418746, "coord_share_perm": 0.1920771408728067, "norm_ratio_perm": 1.0, "qmd_orth": 1.0443187611029356, "coord_share_orth": 0.24536569541961728, "d_raw_bn_perm": 1.1898368550230496, "qmd_bn_perm": 1.1172988989417554, "coordinate_gap_bn_perm": 0.07253795608129421, "coord_fraction_bn_perm": 0.06096462365833255, "d_raw_bn_orth": 1.1898368550230496, "qmd_bn_orth": 1.0593562832961225, "coordinate_gap_bn_orth": 0.13048057172692706, "coord_fraction_bn_orth": 0.10966257363443276, "bnd_raw": 1.1898368550230496, "bnd_perm": 1.1172988989417554, "bnd_orth": 1.0593562832961225, "coord_share_bnd_perm": 0.06096462365833255, "coord_share_bnd_orth": 0.10966257363443276, "cka_mean": 0.6383225720447798, "cka_last": 0.8424995416955308, "qmd_act_perm": 0.5763436050016147, "aligned_cka_perm": 0.42365639499838526, "qmd_act_procrustes": 0.5763436050016149, "aligned_cka_procrustes": 0.4236563949983852, "qmd_act_ot": 0.30348594978163057, "aligned_cka_ot": 0.6965140502183694, "task_vector_cosine": 0.3193925353774567}, "rungs": {"M0_naive_avg": {"nll": 21.716893066087735, "delta_floor": 17.76353085313213, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.272240844646934, "delta_floor": 8.318878631691332, "delta_vs_naive": -9.444652221440801}, "M1_orth_avg": {"nll": 12.96918827462492, "delta_floor": 9.015826061669317, "delta_vs_naive": -8.747704791462816}, "M2_task_arith": {"nll": 103.47102291258969, "delta_floor": 99.51766069963409, "delta_vs_naive": 81.75412984650195}, "M3_ties": {"nll": 99.24201422863666, "delta_floor": 95.28865201568107, "delta_vs_naive": 77.52512116254893}}, "barrier_naive": {"barrier": 17.75294246785561, "losses": [3.9745389835086433, 8.286566627935422, 17.138802465549578, 21.716893066087735, 18.271588210412588, 8.92394342689987, 3.953362212955602]}, "barrier_perm": {"barrier": 8.308288892732286, "losses": [3.9745389835086433, 6.740912331060421, 10.738041090794194, 12.272240844646934, 11.075185438580398, 6.960138349539302, 3.953364920320654]}, "secs": 17.538141012191772} |
| {"set": "set1_polypythia", "size": "31m", "pair": [7, 9], "parent_nll": {"a": 3.9745389835086433, "b": 3.9759781869190314}, "floor": 3.9745389835086433, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.026008148147187632, "weight_cosine_bn": 0.18533106706261812, "d_raw": 1.3964745562297065, "qmd_perm": 1.0940594359448237, "coord_share_perm": 0.2165561262364586, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.0739122843325706, "coord_share_orth": 0.23098327889912343, "d_raw_bn_perm": 1.2111186808823533, "qmd_bn_perm": 1.1184394765392824, "coordinate_gap_bn_perm": 0.09267920434307086, "coord_fraction_bn_perm": 0.07652363538439517, "d_raw_bn_orth": 1.2111186808823533, "qmd_bn_orth": 1.0865408927006233, "coordinate_gap_bn_orth": 0.12457778818173004, "coord_fraction_bn_orth": 0.10286175099782098, "bnd_raw": 1.2111186808823533, "bnd_perm": 1.1184394765392824, "bnd_orth": 1.0865408927006233, "coord_share_bnd_perm": 0.07652363538439517, "coord_share_bnd_orth": 0.10286175099782098, "cka_mean": 0.6899197723937871, "cka_last": 0.799634370050186, "qmd_act_perm": 0.2560278072995831, "aligned_cka_perm": 0.7439721927004169, "qmd_act_procrustes": 0.25602780729958263, "aligned_cka_procrustes": 0.7439721927004174, "qmd_act_ot": 0.32766879351539757, "aligned_cka_ot": 0.6723312064846024, "task_vector_cosine": 0.3256461865573}, "rungs": {"M0_naive_avg": {"nll": 24.58325115684116, "delta_floor": 20.608712173332517, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.227898345768102, "delta_floor": 10.25335936225946, "delta_vs_naive": -10.35535281107306}, "M1_orth_avg": {"nll": 17.060413736342138, "delta_floor": 13.085874752833494, "delta_vs_naive": -7.522837420499023}, "M2_task_arith": {"nll": 128.66570857795173, "delta_floor": 124.6911695944431, "delta_vs_naive": 104.08245742111058}, "M3_ties": {"nll": 101.93025572814743, "delta_floor": 97.95571674463879, "delta_vs_naive": 77.34700457130627}}, "barrier_naive": {"barrier": 20.607992571627324, "losses": [3.9745389835086433, 8.25274558667645, 17.638361005789303, 24.58325115684116, 20.520321800595237, 10.42463077910959, 3.9759781869190314]}, "barrier_perm": {"barrier": 10.555155661811671, "losses": [3.9745389835086433, 6.534698864562949, 14.530175653844585, 14.227898345768102, 10.714969244333007, 6.502310337930121, 3.975982009081458]}, "secs": 16.769277095794678} |
| {"set": "set1_polypythia", "size": "31m", "pair": [8, 9], "parent_nll": {"a": 3.953362212955602, "b": 3.9759781869190314}, "floor": 3.953362212955602, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}, "orth": {"residual": true, "hidden": 6, "heads": 6, "rejected": []}}, "predictors": {"weight_cosine": 0.019940560508317526, "weight_cosine_bn": 0.1946744247292579, "d_raw": 1.4001879501341776, "qmd_perm": 1.1691007213988664, "coord_share_perm": 0.16504014958360874, "norm_ratio_perm": 1.0, "qmd_orth": 1.144816269196782, "coord_share_orth": 0.18238385847623081, "d_raw_bn_perm": 1.2140342341415213, "qmd_bn_perm": 1.1310152581890562, "coordinate_gap_bn_perm": 0.0830189759524651, "coord_fraction_bn_perm": 0.06838273058351622, "d_raw_bn_orth": 1.2140342341415213, "qmd_bn_orth": 1.096541866482412, "coordinate_gap_bn_orth": 0.11749236765910931, "coord_fraction_bn_orth": 0.09677846337026201, "bnd_raw": 1.2140342341415213, "bnd_perm": 1.1310152581890562, "bnd_orth": 1.096541866482412, "coord_share_bnd_perm": 0.06838273058351622, "coord_share_bnd_orth": 0.09677846337026201, "cka_mean": 0.6629291995603854, "cka_last": 0.8039616754481677, "qmd_act_perm": 0.5364193432684714, "aligned_cka_perm": 0.4635806567315286, "qmd_act_procrustes": 0.5364193432684714, "aligned_cka_procrustes": 0.4635806567315286, "qmd_act_ot": 0.56912688458732, "aligned_cka_ot": 0.43087311541268003, "task_vector_cosine": 0.3302450172061032}, "rungs": {"M0_naive_avg": {"nll": 24.56288603840509, "delta_floor": 20.609523825449486, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 9.636278245780332, "delta_floor": 5.68291603282473, "delta_vs_naive": -14.926607792624758}, "M1_orth_avg": {"nll": 15.808199748756524, "delta_floor": 11.854837535800922, "delta_vs_naive": -8.754686289648566}, "M2_task_arith": {"nll": 118.58621779191128, "delta_floor": 114.63285557895568, "delta_vs_naive": 94.0233317535062}, "M3_ties": {"nll": 127.66350191617742, "delta_floor": 123.71013970322183, "delta_vs_naive": 103.10061587777233}}, "barrier_naive": {"barrier": 20.598215838467773, "losses": [3.953362212955602, 8.39007588266471, 16.452284124266146, 24.56288603840509, 22.982602790688194, 11.766308211533758, 3.9759781869190314]}, "barrier_perm": {"barrier": 5.67160525884958, "losses": [3.953362212955602, 6.271975204358284, 8.986513499877692, 9.636278245780332, 8.204192338857633, 5.7462842210942595, 3.9759837609059034]}, "secs": 20.352619171142578} |
|
|
