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  {"set": "set1_polypythia", "size": "410m", "pair": [1, 2], "parent_nll": {"a": 2.9732341928102577, "b": 2.966551938091161}, "floor": 2.966551938091161, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 24, "heads": 24, "rejected": []}, "orth": {"residual": true, "hidden": 24, "heads": 24, "rejected": []}}, "predictors": {"weight_cosine": 0.0427151081634782, "weight_cosine_bn": 0.21880007698572485, "d_raw": 1.3847279773716792, "qmd_perm": 1.3303970349305332, "coord_share_perm": 0.03923582344618351, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.3274184900141912, "coord_share_orth": 0.04138681986209726, "d_raw_bn_perm": 1.160589700833997, "qmd_bn_perm": 1.0650788340658717, "coordinate_gap_bn_perm": 0.09551086676812526, "coord_fraction_bn_perm": 0.0822951183346633, "d_raw_bn_orth": 1.160589700833997, "qmd_bn_orth": 1.0526234334466773, "coordinate_gap_bn_orth": 0.10796626738731963, "coord_fraction_bn_orth": 0.09302707693316194, "bnd_raw": 1.160589700833997, "bnd_perm": 1.0650788340658717, "bnd_orth": 1.0526234334466773, "coord_share_bnd_perm": 0.0822951183346633, "coord_share_bnd_orth": 0.09302707693316194, "cka_mean": 0.3091908430110828, "cka_last": 0.9199221561893456, "qmd_act_perm": 0.817137042183511, "aligned_cka_perm": 0.18286295781648898, "qmd_act_procrustes": 0.8171370421835108, "aligned_cka_procrustes": 0.18286295781648917, "qmd_act_ot": 0.7986525561206986, "aligned_cka_ot": 0.2013474438793014, "task_vector_cosine": 0.47795609904941544}, "rungs": {"M0_naive_avg": {"nll": 9.157653370637638, "delta_floor": 6.191101432546477, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 8.605755412181995, "delta_floor": 5.639203474090834, "delta_vs_naive": -0.5518979584556423}, "M1_orth_avg": {"nll": 8.77304732091895, "delta_floor": 5.806495382827789, "delta_vs_naive": -0.3846060497186876}, "M2_task_arith": {"nll": 16.04849814497717, "delta_floor": 13.081946206886009, "delta_vs_naive": 6.8908447743395325}, "M3_ties": {"nll": 13.131684006543543, "delta_floor": 10.165132068452381, "delta_vs_naive": 3.9740306359059048}}, "barrier_naive": {"barrier": 6.187760305186928, "losses": [2.9732341928102577, 7.831688529435747, 9.157653370637638, 7.759203448609752, 2.966551938091161]}, "barrier_perm": {"barrier": 5.635862705059013, "losses": [2.9732341928102577, 7.555511653773239, 8.605755412181995, 7.299043917920336, 2.966551221435706]}, "secs": 562.4425117969513}
 
 
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  {"set": "set1_polypythia", "size": "410m", "pair": [1, 2], "parent_nll": {"a": 2.9732341928102577, "b": 2.966551938091161}, "floor": 2.966551938091161, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 24, "heads": 24, "rejected": []}, "orth": {"residual": true, "hidden": 24, "heads": 24, "rejected": []}}, "predictors": {"weight_cosine": 0.0427151081634782, "weight_cosine_bn": 0.21880007698572485, "d_raw": 1.3847279773716792, "qmd_perm": 1.3303970349305332, "coord_share_perm": 0.03923582344618351, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.3274184900141912, "coord_share_orth": 0.04138681986209726, "d_raw_bn_perm": 1.160589700833997, "qmd_bn_perm": 1.0650788340658717, "coordinate_gap_bn_perm": 0.09551086676812526, "coord_fraction_bn_perm": 0.0822951183346633, "d_raw_bn_orth": 1.160589700833997, "qmd_bn_orth": 1.0526234334466773, "coordinate_gap_bn_orth": 0.10796626738731963, "coord_fraction_bn_orth": 0.09302707693316194, "bnd_raw": 1.160589700833997, "bnd_perm": 1.0650788340658717, "bnd_orth": 1.0526234334466773, "coord_share_bnd_perm": 0.0822951183346633, "coord_share_bnd_orth": 0.09302707693316194, "cka_mean": 0.3091908430110828, "cka_last": 0.9199221561893456, "qmd_act_perm": 0.817137042183511, "aligned_cka_perm": 0.18286295781648898, "qmd_act_procrustes": 0.8171370421835108, "aligned_cka_procrustes": 0.18286295781648917, "qmd_act_ot": 0.7986525561206986, "aligned_cka_ot": 0.2013474438793014, "task_vector_cosine": 0.47795609904941544}, "rungs": {"M0_naive_avg": {"nll": 9.157653370637638, "delta_floor": 6.191101432546477, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 8.605755412181995, "delta_floor": 5.639203474090834, "delta_vs_naive": -0.5518979584556423}, "M1_orth_avg": {"nll": 8.77304732091895, "delta_floor": 5.806495382827789, "delta_vs_naive": -0.3846060497186876}, "M2_task_arith": {"nll": 16.04849814497717, "delta_floor": 13.081946206886009, "delta_vs_naive": 6.8908447743395325}, "M3_ties": {"nll": 13.131684006543543, "delta_floor": 10.165132068452381, "delta_vs_naive": 3.9740306359059048}}, "barrier_naive": {"barrier": 6.187760305186928, "losses": [2.9732341928102577, 7.831688529435747, 9.157653370637638, 7.759203448609752, 2.966551938091161]}, "barrier_perm": {"barrier": 5.635862705059013, "losses": [2.9732341928102577, 7.555511653773239, 8.605755412181995, 7.299043917920336, 2.966551221435706]}, "secs": 562.4425117969513}
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+ {"set": "set1_polypythia", "size": "410m", "pair": [1, 3], "parent_nll": {"a": 2.9732341928102577, "b": 3.1001702773361055}, "floor": 2.9732341928102577, "corpus": "flores200_devtest_eng_Latn", "metric": "nats_per_token", "align_info": {"perm": {"residual": true, "hidden": 24, "heads": 24, "rejected": []}, "orth": {"residual": true, "hidden": 24, "heads": 24, "rejected": []}}, "predictors": {"weight_cosine": 0.12673588122964663, "weight_cosine_bn": 0.21991439503809812, "d_raw": 1.6358132688217875, "qmd_perm": 1.6271092319846132, "coord_share_perm": 0.005320923239266437, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.6129487025290088, "coord_share_orth": 0.013977491641969087, "d_raw_bn_perm": 1.739152327071221, "qmd_bn_perm": 1.7139668788637388, "coordinate_gap_bn_perm": 0.025185448207482253, "coord_fraction_bn_perm": 0.014481450425849253, "d_raw_bn_orth": 1.739152327071221, "qmd_bn_orth": 1.6970591857350148, "coordinate_gap_bn_orth": 0.04209314133620623, "coord_fraction_bn_orth": 0.024203251596191234, "bnd_raw": 1.739152327071221, "bnd_perm": 1.7139668788637388, "bnd_orth": 1.6970591857350148, "coord_share_bnd_perm": 0.014481450425849253, "coord_share_bnd_orth": 0.024203251596191234, "cka_mean": 0.45181815202899256, "cka_last": 0.9213588976197379, "qmd_act_perm": 0.49941364036356284, "aligned_cka_perm": 0.5005863596364372, "qmd_act_procrustes": 0.4994136403635633, "aligned_cka_procrustes": 0.5005863596364367, "qmd_act_ot": 0.49898463733430454, "aligned_cka_ot": 0.5010153626656955, "task_vector_cosine": 0.6500543335939593}, "rungs": {"M0_naive_avg": {"nll": 9.47511835962981, "delta_floor": 6.501884166819552, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 9.021339451341325, "delta_floor": 6.048105258531066, "delta_vs_naive": -0.453778908288486}, "M1_orth_avg": {"nll": 9.11962317300636, "delta_floor": 6.146388980196102, "delta_vs_naive": -0.35549518662345037}, "M2_task_arith": {"nll": 13.338298959352576, "delta_floor": 10.365064766542318, "delta_vs_naive": 3.8631805997227655}, "M3_ties": {"nll": 12.402279091752282, "delta_floor": 9.429044898942024, "delta_vs_naive": 2.9271607321224717}}, "barrier_naive": {"barrier": 6.438416124556629, "losses": [2.9732341928102577, 6.486284488645629, 9.47511835962981, 9.177749982163242, 3.1001702773361055]}, "barrier_perm": {"barrier": 6.027593663682833, "losses": [2.9732341928102577, 6.8827833560114975, 9.021339451341325, 9.096029919887476, 3.1001702773361055]}, "secs": 561.6993088722229}