results/set1_14m.jsonl

{"set": "set1_polypythia", "size": "14m", "pair": [1, 2], "parent_nll": {"a": 4.358174044714204, "b": 4.348636475405659}, "floor": 4.348636475405659, "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": 0.01719567159430605, "weight_cosine_bn": 0.2113616750979885, "d_raw": 1.4068797434231781, "qmd_perm": 1.0879371784915066, "coord_share_perm": 0.22670208055994176, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.036114229209965, "coord_share_orth": 0.26353746007535617, "d_raw_bn_perm": 1.1851905434430605, "qmd_bn_perm": 1.0975046858837745, "coordinate_gap_bn_perm": 0.08768585755928604, "coord_fraction_bn_perm": 0.07398460782900998, "d_raw_bn_orth": 1.1851905434430605, "qmd_bn_orth": 1.0849661875074887, "coordinate_gap_bn_orth": 0.10022435593557177, "coord_fraction_bn_orth": 0.08456391800462151, "bnd_raw": 1.1851905434430605, "bnd_perm": 1.0975046858837745, "bnd_orth": 1.0849661875074887, "coord_share_bnd_perm": 0.07398460782900998, "coord_share_bnd_orth": 0.08456391800462151, "cka_mean": 0.7109164729624061, "cka_last": 0.7832568092859576, "qmd_act_perm": 0.31483842792201466, "aligned_cka_perm": 0.6851615720779853, "qmd_act_procrustes": 0.31483842792201533, "aligned_cka_procrustes": 0.6851615720779847, "qmd_act_ot": 0.31986020318587605, "aligned_cka_ot": 0.680139796814124, "task_vector_cosine": 0.23363030272282706}, "rungs": {"M0_naive_avg": {"nll": 28.175464010518592, "delta_floor": 23.826827535112933, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.013591291075505, "delta_floor": 5.664954815669846, "delta_vs_naive": -18.16187271944309}, "M1_orth_avg": {"nll": 17.726128047537507, "delta_floor": 13.377491572131849, "delta_vs_naive": -10.449335962981085}, "M2_task_arith": {"nll": 104.37448528212654, "delta_floor": 100.02584880672089, "delta_vs_naive": 76.19902127160795}, "M3_ties": {"nll": 153.6303968933464, "delta_floor": 149.28176041794072, "delta_vs_naive": 125.45493288282779}}, "barrier_naive": {"barrier": 23.82205875045866, "losses": [4.358174044714204, 10.023861123002282, 20.442633164138943, 28.175464010518592, 24.789202645955644, 13.429758210004893, 4.348636475405659]}, "barrier_perm": {"barrier": 5.660184916218199, "losses": [4.358174044714204, 6.398472855002447, 9.1122518142531, 10.013591291075505, 9.071035844239237, 6.9061065096522345, 4.348638705000408]}, "secs": 7.965929269790649}
{"set": "set1_polypythia", "size": "14m", "pair": [1, 3], "parent_nll": {"a": 4.358174044714204, "b": 4.461822808372065}, "floor": 4.358174044714204, "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": 0.030959055651780403, "weight_cosine_bn": 0.20539597427354958, "d_raw": 1.3968726826998437, "qmd_perm": 0.8418975933187277, "coord_share_perm": 0.39729826222134484, "norm_ratio_perm": 1.0, "qmd_orth": 0.8918449597399208, "coord_share_orth": 0.3615416989784758, "d_raw_bn_perm": 1.1996771791464242, "qmd_bn_perm": 1.127839013315238, "coordinate_gap_bn_perm": 0.07183816583118618, "coord_fraction_bn_perm": 0.05988124728879094, "d_raw_bn_orth": 1.1996771791464242, "qmd_bn_orth": 1.1081676909187708, "coordinate_gap_bn_orth": 0.09150948822765348, "coord_fraction_bn_orth": 0.07627842707882707, "bnd_raw": 1.1996771791464242, "bnd_perm": 1.127839013315238, "bnd_orth": 1.1081676909187708, "coord_share_bnd_perm": 0.05988124728879094, "coord_share_bnd_orth": 0.07627842707882707, "cka_mean": 0.5512032323606116, "cka_last": 0.7838347216304248, "qmd_act_perm": 0.8747879533108849, "aligned_cka_perm": 0.12521204668911515, "qmd_act_procrustes": 0.8747879533108849, "aligned_cka_procrustes": 0.12521204668911512, "qmd_act_ot": 0.8788540026571859, "aligned_cka_ot": 0.12114599734281405, "task_vector_cosine": 0.23034833340891145}, "rungs": {"M0_naive_avg": {"nll": 30.564272846338877, "delta_floor": 26.206098801624673, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.061400809788813, "delta_floor": 9.703226765074609, "delta_vs_naive": -16.502872036550066}, "M1_orth_avg": {"nll": 19.59841431221461, "delta_floor": 15.240240267500408, "delta_vs_naive": -10.965858534124266}, "M2_task_arith": {"nll": 125.14385345319634, "delta_floor": 120.78567940848214, "delta_vs_naive": 94.57958060685746}, "M3_ties": {"nll": 233.63359222113502, "delta_floor": 229.27541817642083, "delta_vs_naive": 203.06931937479615}}, "barrier_naive": {"barrier": 26.15427441979574, "losses": [4.358174044714204, 11.425081794275929, 24.684712369536857, 30.564272846338877, 23.243041753302347, 11.350729905618069, 4.461822808372065]}, "barrier_perm": {"barrier": 9.651403020272749, "losses": [4.358174044714204, 6.979225113900441, 11.789397894752936, 14.061400809788813, 11.74262641165199, 7.241274480950342, 4.461821534317922]}, "secs": 7.899597883224487}
{"set": "set1_polypythia", "size": "14m", "pair": [1, 4], "parent_nll": {"a": 4.358174044714204, "b": 4.712608581264269}, "floor": 4.358174044714204, "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": 0, "rejected": ["heads"]}}, "predictors": {"weight_cosine": 0.048340562638849484, "weight_cosine_bn": 0.1862561063104048, "d_raw": 1.403299242350768, "qmd_perm": 0.9339913515917584, "coord_share_perm": 0.3344317994306318, "norm_ratio_perm": 1.0, "qmd_orth": 0.9413742861664068, "coord_share_orth": 0.3291706731135672, "d_raw_bn_perm": 1.235365304980064, "qmd_bn_perm": 1.1556959541670873, "coordinate_gap_bn_perm": 0.07966935081297666, "coord_fraction_bn_perm": 0.06449051992298128, "d_raw_bn_orth": 1.235365304980064, "qmd_bn_orth": 1.1505634969060898, "coordinate_gap_bn_orth": 0.08480180807397408, "coord_fraction_bn_orth": 0.06864512685609428, "bnd_raw": 1.235365304980064, "bnd_perm": 1.1556959541670873, "bnd_orth": 1.1505634969060898, "coord_share_bnd_perm": 0.06449051992298128, "coord_share_bnd_orth": 0.06864512685609428, "cka_mean": 0.5119189673117222, "cka_last": 0.7471442678415098, "qmd_act_perm": 0.8847470363870827, "aligned_cka_perm": 0.11525296361291727, "qmd_act_procrustes": 0.8847470363870827, "aligned_cka_procrustes": 0.1152529636129173, "qmd_act_ot": 0.8881487712398095, "aligned_cka_ot": 0.11185122876019045, "task_vector_cosine": 0.2147501324630029}, "rungs": {"M0_naive_avg": {"nll": 28.7806416391471, "delta_floor": 24.422467594432895, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.044247263331702, "delta_floor": 6.686073218617498, "delta_vs_naive": -17.736394375815397}, "M1_orth_avg": {"nll": 13.260255498817678, "delta_floor": 8.902081454103474, "delta_vs_naive": -15.520386140329421}, "M2_task_arith": {"nll": 97.77232397667971, "delta_floor": 93.41414993196551, "delta_vs_naive": 68.99168233753261}, "M3_ties": {"nll": 233.11518978310502, "delta_floor": 228.7570157383908, "delta_vs_naive": 204.33454814395793}}, "barrier_naive": {"barrier": 24.245250326157862, "losses": [4.358174044714204, 12.117501554346054, 23.17383449527071, 28.7806416391471, 22.196783395507175, 10.177928986770223, 4.712608581264269]}, "barrier_perm": {"barrier": 6.508856507741152, "losses": [4.358174044714204, 6.616120798169439, 9.834356080295988, 11.044247263331702, 10.115041355797455, 7.329700527203604, 4.712607466466895]}, "secs": 7.9993674755096436}
{"set": "set1_polypythia", "size": "14m", "pair": [1, 5], "parent_nll": {"a": 4.358174044714204, "b": 4.400566603728392}, "floor": 4.358174044714204, "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": 0.10681956370837853, "weight_cosine_bn": 0.19346352124871893, "d_raw": 1.3932554805130637, "qmd_perm": 0.9589223763778517, "coord_share_perm": 0.31173974207176247, "norm_ratio_perm": 1.0, "qmd_orth": 0.9476122871115479, "coord_share_orth": 0.3198574845996002, "d_raw_bn_perm": 1.224940686497409, "qmd_bn_perm": 1.1472995121277174, "coordinate_gap_bn_perm": 0.07764117436969165, "coord_fraction_bn_perm": 0.06338361948911872, "d_raw_bn_orth": 1.224940686497409, "qmd_bn_orth": 1.1183315997645797, "coordinate_gap_bn_orth": 0.10660908673282932, "coord_fraction_bn_orth": 0.08703203992486114, "bnd_raw": 1.224940686497409, "bnd_perm": 1.1472995121277174, "bnd_orth": 1.1183315997645797, "coord_share_bnd_perm": 0.06338361948911872, "coord_share_bnd_orth": 0.08703203992486114, "cka_mean": 0.7166578629557439, "cka_last": 0.7734549706323061, "qmd_act_perm": 0.32633138926624783, "aligned_cka_perm": 0.6736686107337522, "qmd_act_procrustes": 0.3263313892662475, "aligned_cka_procrustes": 0.6736686107337525, "qmd_act_ot": 0.32400569224235387, "aligned_cka_ot": 0.6759943077576461, "task_vector_cosine": 0.23738792209807794}, "rungs": {"M0_naive_avg": {"nll": 42.32282620882257, "delta_floor": 37.964652164108365, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.780153039383562, "delta_floor": 9.421978994669358, "delta_vs_naive": -28.542673169439006}, "M1_orth_avg": {"nll": 24.140916758398564, "delta_floor": 19.78274271368436, "delta_vs_naive": -18.181909450424005}, "M2_task_arith": {"nll": 161.71575342465752, "delta_floor": 157.35757937994333, "delta_vs_naive": 119.39292721583496}, "M3_ties": {"nll": 239.9484364807567, "delta_floor": 235.5902624360425, "delta_vs_naive": 197.62561027193414}}, "barrier_naive": {"barrier": 37.94345588460127, "losses": [4.358174044714204, 12.517191449567841, 31.26938664485486, 42.32282620882257, 33.82783196754729, 16.167387781311156, 4.400566603728392]}, "barrier_perm": {"barrier": 9.40078327256095, "losses": [4.358174044714204, 7.1655676357122475, 11.755010536427756, 13.780153039383562, 12.625278380830071, 7.719399608355757, 4.400565488931018]}, "secs": 7.9035162925720215}
{"set": "set1_polypythia", "size": "14m", "pair": [1, 6], "parent_nll": {"a": 4.358174044714204, "b": 4.399487002099641}, "floor": 4.358174044714204, "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": 0.1086654348749185, "weight_cosine_bn": 0.19096251934171707, "d_raw": 1.3744047160866282, "qmd_perm": 0.97902466737858, "coord_share_perm": 0.28767366997533467, "norm_ratio_perm": 0.9999999999999999, "qmd_orth": 0.936451769663666, "coord_share_orth": 0.31864918775159257, "d_raw_bn_perm": 1.2176133232049313, "qmd_bn_perm": 1.1277325763269612, "coordinate_gap_bn_perm": 0.0898807468779701, "coord_fraction_bn_perm": 0.07381715127869265, "d_raw_bn_orth": 1.2176133232049313, "qmd_bn_orth": 1.126716355057632, "coordinate_gap_bn_orth": 0.0908969681472993, "coord_fraction_bn_orth": 0.07465175225583567, "bnd_raw": 1.2176133232049313, "bnd_perm": 1.1277325763269612, "bnd_orth": 1.126716355057632, "coord_share_bnd_perm": 0.07381715127869265, "coord_share_bnd_orth": 0.07465175225583567, "cka_mean": 0.5757130886038271, "cka_last": 0.7832833327919976, "qmd_act_perm": 0.8670915794889759, "aligned_cka_perm": 0.13290842051102417, "qmd_act_procrustes": 0.8670915794889759, "aligned_cka_procrustes": 0.13290842051102417, "qmd_act_ot": 0.8810153937908651, "aligned_cka_ot": 0.11898460620913481, "task_vector_cosine": 0.25025813175362116}, "rungs": {"M0_naive_avg": {"nll": 47.014962491846056, "delta_floor": 42.65678844713185, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.555240120984182, "delta_floor": 10.197066076269978, "delta_vs_naive": -32.459722370861876}, "M1_orth_avg": {"nll": 23.05054937214612, "delta_floor": 18.692375327431915, "delta_vs_naive": -23.964413119699937}, "M2_task_arith": {"nll": 182.59939660795825, "delta_floor": 178.24122256324404, "delta_vs_naive": 135.5844341161122}, "M3_ties": {"nll": 308.337308382257, "delta_floor": 303.9791343375428, "delta_vs_naive": 261.32234589041093}}, "barrier_naive": {"barrier": 42.63613196843913, "losses": [4.358174044714204, 13.848859912650848, 35.5356786121983, 47.014962491846056, 39.30109594137313, 17.65894844667319, 4.399487002099641]}, "barrier_perm": {"barrier": 10.176409438320492, "losses": [4.358174044714204, 7.626162892918297, 12.460466099967384, 14.555240120984182, 13.306768985954827, 8.15359518968118, 4.399487320613177]}, "secs": 7.8031158447265625}
{"set": "set1_polypythia", "size": "14m", "pair": [1, 7], "parent_nll": {"a": 4.358174044714204, "b": 4.525117021872962}, "floor": 4.358174044714204, "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": 0.024557695532503504, "weight_cosine_bn": 0.1873509087252466, "d_raw": 1.4013339993926803, "qmd_perm": 0.9557300994637539, "coord_share_perm": 0.31798550532709924, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 0.9174913150039437, "coord_share_orth": 0.3452729218005327, "d_raw_bn_perm": 1.2151081570075586, "qmd_bn_perm": 1.1365535800110427, "coordinate_gap_bn_perm": 0.07855457699651591, "coord_fraction_bn_perm": 0.0646482179742517, "d_raw_bn_orth": 1.2151081570075586, "qmd_bn_orth": 1.1174658855863824, "coordinate_gap_bn_orth": 0.09764227142117621, "coord_fraction_bn_orth": 0.08035685618442344, "bnd_raw": 1.2151081570075586, "bnd_perm": 1.1365535800110427, "bnd_orth": 1.1174658855863824, "coord_share_bnd_perm": 0.0646482179742517, "coord_share_bnd_orth": 0.08035685618442344, "cka_mean": 0.7674554091489475, "cka_last": 0.7772388020384627, "qmd_act_perm": 0.09143399847107636, "aligned_cka_perm": 0.9085660015289236, "qmd_act_procrustes": 0.09143399847107647, "aligned_cka_procrustes": 0.9085660015289235, "qmd_act_ot": 0.09505439443191466, "aligned_cka_ot": 0.9049456055680853, "task_vector_cosine": 0.2185221154489802}, "rungs": {"M0_naive_avg": {"nll": 28.03846687968852, "delta_floor": 23.680292834974317, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.727503707497554, "delta_floor": 8.36932966278335, "delta_vs_naive": -15.310963172190966}, "M1_orth_avg": {"nll": 21.750440822733204, "delta_floor": 17.392266778019, "delta_vs_naive": -6.288026056955317}, "M2_task_arith": {"nll": 114.24509998776908, "delta_floor": 109.88692594305488, "delta_vs_naive": 86.20663310808055}, "M3_ties": {"nll": 177.85992029517286, "delta_floor": 173.50174625045867, "delta_vs_naive": 149.82145341548434}}, "barrier_naive": {"barrier": 23.59682134639494, "losses": [4.358174044714204, 10.886454065251957, 22.773232377283104, 28.03846687968852, 22.158240072570123, 12.25456557301859, 4.525117021872962]}, "barrier_perm": {"barrier": 8.285859448258114, "losses": [4.358174044714204, 6.610045948762639, 10.067523595482713, 12.727503707497554, 12.060092037671232, 7.717739675065231, 4.525114473764677]}, "secs": 7.901716947555542}
{"set": "set1_polypythia", "size": "14m", "pair": [1, 8], "parent_nll": {"a": 4.358174044714204, "b": 4.4403290372227655}, "floor": 4.358174044714204, "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": 0.09599892199602375, "weight_cosine_bn": 0.19803317799835893, "d_raw": 1.345671747770295, "qmd_perm": 0.9284728622882655, "coord_share_perm": 0.3100302032596771, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 0.930627032781923, "coord_share_orth": 0.3084293890215638, "d_raw_bn_perm": 1.2135281688490471, "qmd_bn_perm": 1.137545096682536, "coordinate_gap_bn_perm": 0.07598307216651112, "coord_fraction_bn_perm": 0.06261335675345397, "d_raw_bn_orth": 1.2135281688490471, "qmd_bn_orth": 1.1300220655543967, "coordinate_gap_bn_orth": 0.08350610329465047, "coord_fraction_bn_orth": 0.06881266165733145, "bnd_raw": 1.2135281688490471, "bnd_perm": 1.137545096682536, "bnd_orth": 1.1300220655543967, "coord_share_bnd_perm": 0.06261335675345397, "coord_share_bnd_orth": 0.06881266165733145, "cka_mean": 0.5449198923154618, "cka_last": 0.7675998375111933, "qmd_act_perm": 0.8285789450948629, "aligned_cka_perm": 0.1714210549051372, "qmd_act_procrustes": 0.8285789450948629, "aligned_cka_procrustes": 0.1714210549051372, "qmd_act_ot": 0.8602439817004447, "aligned_cka_ot": 0.13975601829955528, "task_vector_cosine": 0.3022593320013658}, "rungs": {"M0_naive_avg": {"nll": 33.65818656229615, "delta_floor": 29.300012517581948, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 9.623859403029192, "delta_floor": 5.265685358314988, "delta_vs_naive": -24.034327159266958}, "M1_orth_avg": {"nll": 21.853210489032943, "delta_floor": 17.49503644431874, "delta_vs_naive": -11.804976073263209}, "M2_task_arith": {"nll": 139.11481266307894, "delta_floor": 134.75663861836472, "delta_vs_naive": 105.45662610078278}, "M3_ties": {"nll": 184.69913466242662, "delta_floor": 180.34096061771243, "delta_vs_naive": 151.04094810013046}}, "barrier_naive": {"barrier": 29.258935021327666, "losses": [4.358174044714204, 10.048069107244782, 22.34915899686073, 33.65818656229615, 27.60295440415036, 13.07824093892694, 4.4403290372227655]}, "barrier_perm": {"barrier": 5.4098394882888945, "losses": [4.358174044714204, 6.804784487371576, 9.795398371249185, 9.623859403029192, 9.154453902173026, 6.757943727576647, 4.440328559452462]}, "secs": 9.11527395248413}
{"set": "set1_polypythia", "size": "14m", "pair": [1, 9], "parent_nll": {"a": 4.358174044714204, "b": 4.318967098825832}, "floor": 4.318967098825832, "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": 0.0492681931140604, "weight_cosine_bn": 0.18245169002899997, "d_raw": 1.3830848970009197, "qmd_perm": 1.114609820132688, "coord_share_perm": 0.19411323010640413, "norm_ratio_perm": 1.0, "qmd_orth": 1.098251848645827, "coord_share_orth": 0.20594039380570525, "d_raw_bn_perm": 1.2520563266380453, "qmd_bn_perm": 1.166404760529625, "coordinate_gap_bn_perm": 0.08565156610842029, "coord_fraction_bn_perm": 0.06840871635416539, "d_raw_bn_orth": 1.2520563266380453, "qmd_bn_orth": 1.1722123670513032, "coordinate_gap_bn_orth": 0.07984395958674217, "coord_fraction_bn_orth": 0.06377026167914898, "bnd_raw": 1.2520563266380453, "bnd_perm": 1.166404760529625, "bnd_orth": 1.1722123670513032, "coord_share_bnd_perm": 0.06840871635416539, "coord_share_bnd_orth": 0.06377026167914898, "cka_mean": 0.7245111882798628, "cka_last": 0.7876846690415142, "qmd_act_perm": 0.1364872189410382, "aligned_cka_perm": 0.8635127810589618, "qmd_act_procrustes": 0.13648721894103877, "aligned_cka_procrustes": 0.8635127810589612, "qmd_act_ot": 0.13211732831254208, "aligned_cka_ot": 0.8678826716874579, "task_vector_cosine": 0.2760353117653436}, "rungs": {"M0_naive_avg": {"nll": 30.6547708231409, "delta_floor": 26.33580372431507, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.340034858121331, "delta_floor": 7.0210677592955, "delta_vs_naive": -19.31473596501957}, "M1_orth_avg": {"nll": 15.655110358569798, "delta_floor": 11.336143259743967, "delta_vs_naive": -14.999660464571102}, "M2_task_arith": {"nll": 118.55250377120026, "delta_floor": 114.23353667237443, "delta_vs_naive": 87.89773294805937}, "M3_ties": {"nll": 130.79941291585126, "delta_floor": 126.48044581702543, "delta_vs_naive": 100.14464209271037}}, "barrier_naive": {"barrier": 26.316200251370883, "losses": [4.358174044714204, 10.34806362881197, 20.691132965386497, 30.6547708231409, 21.61200974396608, 11.712267931037998, 4.318967098825832]}, "barrier_perm": {"barrier": 7.001466914087982, "losses": [4.358174044714204, 6.601516474794113, 10.098980310767287, 11.340034858121331, 10.516901602250488, 7.534815281260192, 4.318961843352495]}, "secs": 9.263440132141113}
{"set": "set1_polypythia", "size": "14m", "pair": [2, 3], "parent_nll": {"a": 4.348636475405659, "b": 4.461822808372065}, "floor": 4.348636475405659, "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": 0.07879047961260144, "weight_cosine_bn": 0.20082065917102904, "d_raw": 1.3770769810523678, "qmd_perm": 1.0179644674331332, "coord_share_perm": 0.26077882250620393, "norm_ratio_perm": 1.0, "qmd_orth": 1.050628589684951, "coord_share_orth": 0.23705892688580388, "d_raw_bn_perm": 1.2133030457956124, "qmd_bn_perm": 1.1259635096796503, "coordinate_gap_bn_perm": 0.08733953611596212, "coord_fraction_bn_perm": 0.07198493106781086, "d_raw_bn_orth": 1.2133030457956124, "qmd_bn_orth": 1.1361564453081727, "coordinate_gap_bn_orth": 0.07714660048743971, "coord_fraction_bn_orth": 0.06358395023796509, "bnd_raw": 1.2133030457956124, "bnd_perm": 1.1259635096796503, "bnd_orth": 1.1361564453081727, "coord_share_bnd_perm": 0.07198493106781086, "coord_share_bnd_orth": 0.06358395023796509, "cka_mean": 0.5321297876121899, "cka_last": 0.7856835223736481, "qmd_act_perm": 0.9315291746978694, "aligned_cka_perm": 0.0684708253021306, "qmd_act_procrustes": 0.9315291746978694, "aligned_cka_procrustes": 0.06847082530213057, "qmd_act_ot": 0.9378716449329256, "aligned_cka_ot": 0.06212835506707432, "task_vector_cosine": 0.28329368857864584}, "rungs": {"M0_naive_avg": {"nll": 31.76785523177593, "delta_floor": 27.41921875637027, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.27822794357469, "delta_floor": 6.929591468169031, "delta_vs_naive": -20.48962728820124}, "M1_orth_avg": {"nll": 14.648138415790118, "delta_floor": 10.29950194038446, "delta_vs_naive": -17.11971681598581}, "M2_task_arith": {"nll": 136.08930100293543, "delta_floor": 131.74066452752976, "delta_vs_naive": 104.3214457711595}, "M3_ties": {"nll": 213.59943228147424, "delta_floor": 209.25079580606857, "delta_vs_naive": 181.8315770496983}}, "barrier_naive": {"barrier": 27.362625589887067, "losses": [4.348636475405659, 14.09602100150848, 26.384798750407697, 31.76785523177593, 22.6368289556833, 12.051662258439334, 4.461822808372065]}, "barrier_perm": {"barrier": 6.872998062800676, "losses": [4.348636475405659, 7.328311489675065, 10.599163456050228, 11.27822794357469, 10.203330759743967, 6.844918785418705, 4.461823286142368]}, "secs": 10.270996332168579}
{"set": "set1_polypythia", "size": "14m", "pair": [2, 4], "parent_nll": {"a": 4.348636475405659, "b": 4.712608581264269}, "floor": 4.348636475405659, "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": 0.05345420176729914, "weight_cosine_bn": 0.18863173988053072, "d_raw": 1.426143186272058, "qmd_perm": 1.0647239075906612, "coord_share_perm": 0.2534242579289305, "norm_ratio_perm": 1.0, "qmd_orth": 1.0627696775935, "coord_share_orth": 0.25479454810454005, "d_raw_bn_perm": 1.244574626281068, "qmd_bn_perm": 1.1778065621526344, "coordinate_gap_bn_perm": 0.06676806412843361, "coord_fraction_bn_perm": 0.0536472966092393, "d_raw_bn_orth": 1.244574626281068, "qmd_bn_orth": 1.1754738577204673, "coordinate_gap_bn_orth": 0.06910076856060066, "coord_fraction_bn_orth": 0.0555215951711001, "bnd_raw": 1.244574626281068, "bnd_perm": 1.1778065621526344, "bnd_orth": 1.1754738577204673, "coord_share_bnd_perm": 0.0536472966092393, "coord_share_bnd_orth": 0.0555215951711001, "cka_mean": 0.49009531742505935, "cka_last": 0.7555753583590044, "qmd_act_perm": 0.9422901582947435, "aligned_cka_perm": 0.057709841705256545, "qmd_act_procrustes": 0.9422901582947435, "aligned_cka_procrustes": 0.05770984170525654, "qmd_act_ot": 0.9448711153132067, "aligned_cka_ot": 0.05512888468679329, "task_vector_cosine": 0.23159417389099024}, "rungs": {"M0_naive_avg": {"nll": 39.437514014595564, "delta_floor": 35.08887753918991, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 16.87999429223744, "delta_floor": 12.531357816831783, "delta_vs_naive": -22.557519722358123}, "M1_orth_avg": {"nll": 10.975241942881604, "delta_floor": 6.626605467475946, "delta_vs_naive": -28.46227207171396}, "M2_task_arith": {"nll": 126.46042787834311, "delta_floor": 122.11179140293746, "delta_vs_naive": 87.02291386374755}, "M3_ties": {"nll": 204.7537253343118, "delta_floor": 200.40508885890614, "delta_vs_naive": 165.31621131971625}}, "barrier_naive": {"barrier": 34.9068914862606, "losses": [4.348636475405659, 17.865831906392692, 35.07336513372472, 39.437514014595564, 23.156257644324853, 10.70115690486383, 4.712608581264269]}, "barrier_perm": {"barrier": 12.3493701713348, "losses": [4.348636475405659, 8.893377275460699, 16.07484685869211, 16.87999429223744, 12.043902631686237, 7.983763454011742, 4.7126117663996245]}, "secs": 12.61640214920044}
{"set": "set1_polypythia", "size": "14m", "pair": [2, 5], "parent_nll": {"a": 4.348636475405659, "b": 4.400566603728392}, "floor": 4.348636475405659, "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": 0.0473373746471674, "weight_cosine_bn": 0.18817543704361542, "d_raw": 1.4727266337113378, "qmd_perm": 1.1377089138731589, "coord_share_perm": 0.2274812664954114, "norm_ratio_perm": 1.0, "qmd_orth": 1.1470906198560007, "coord_share_orth": 0.22111096954546114, "d_raw_bn_perm": 1.2194696991739138, "qmd_bn_perm": 1.1286646142843295, "coordinate_gap_bn_perm": 0.09080508488958428, "coord_fraction_bn_perm": 0.0744627643893874, "d_raw_bn_orth": 1.2194696991739138, "qmd_bn_orth": 1.1234023744706894, "coordinate_gap_bn_orth": 0.09606732470322443, "coord_fraction_bn_orth": 0.07877795140650219, "bnd_raw": 1.2194696991739138, "bnd_perm": 1.1286646142843295, "bnd_orth": 1.1234023744706894, "coord_share_bnd_perm": 0.0744627643893874, "coord_share_bnd_orth": 0.07877795140650219, "cka_mean": 0.7245156343584941, "cka_last": 0.779801418412459, "qmd_act_perm": 0.2759793583639658, "aligned_cka_perm": 0.7240206416360342, "qmd_act_procrustes": 0.2759793583639659, "aligned_cka_procrustes": 0.7240206416360341, "qmd_act_ot": 0.2577281581958887, "aligned_cka_ot": 0.7422718418041113, "task_vector_cosine": 0.19758936089389006}, "rungs": {"M0_naive_avg": {"nll": 35.04873002283105, "delta_floor": 30.700093547425393, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.430255728147424, "delta_floor": 8.081619252741765, "delta_vs_naive": -22.61847429468363}, "M1_orth_avg": {"nll": 20.180296497879972, "delta_floor": 15.831660022474313, "delta_vs_naive": -14.86843352495108}, "M2_task_arith": {"nll": 145.7183932648402, "delta_floor": 141.36975678943452, "delta_vs_naive": 110.66966324200914}, "M3_ties": {"nll": 251.0047700587084, "delta_floor": 246.65613358330273, "delta_vs_naive": 215.95604003587735}}, "barrier_naive": {"barrier": 30.674128483264028, "losses": [4.348636475405659, 16.096324863421398, 29.090562316536204, 35.04873002283105, 29.539029374592303, 13.563936814558872, 4.400566603728392]}, "barrier_perm": {"barrier": 8.055654984864237, "losses": [4.348636475405659, 7.8297312637597845, 11.612143519651012, 12.430255728147424, 11.194352181690313, 7.38536920814987, 4.400565011160714]}, "secs": 15.87836217880249}
{"set": "set1_polypythia", "size": "14m", "pair": [2, 6], "parent_nll": {"a": 4.348636475405659, "b": 4.399487002099641}, "floor": 4.348636475405659, "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": 0.035587777607896144, "weight_cosine_bn": 0.1804350039560796, "d_raw": 1.4584408721447544, "qmd_perm": 1.0854818176137628, "coord_share_perm": 0.2557244943242199, "norm_ratio_perm": 1.0, "qmd_orth": 1.1011106258437109, "coord_share_orth": 0.2450083874676117, "d_raw_bn_perm": 1.2329987850916027, "qmd_bn_perm": 1.1347152251586996, "coordinate_gap_bn_perm": 0.09828355993290305, "coord_fraction_bn_perm": 0.0797109949509004, "d_raw_bn_orth": 1.2329987850916027, "qmd_bn_orth": 1.1479827426136178, "coordinate_gap_bn_orth": 0.08501604247798489, "coord_fraction_bn_orth": 0.06895062955935422, "bnd_raw": 1.2329987850916027, "bnd_perm": 1.1347152251586996, "bnd_orth": 1.1479827426136178, "coord_share_bnd_perm": 0.0797109949509004, "coord_share_bnd_orth": 0.06895062955935422, "cka_mean": 0.5590540066807904, "cka_last": 0.787315543260354, "qmd_act_perm": 0.9296244281066364, "aligned_cka_perm": 0.07037557189336366, "qmd_act_procrustes": 0.9296244281066364, "aligned_cka_procrustes": 0.07037557189336363, "qmd_act_ot": 0.9420785904858687, "aligned_cka_ot": 0.057921409514131286, "task_vector_cosine": 0.20086228980896115}, "rungs": {"M0_naive_avg": {"nll": 40.858377415606654, "delta_floor": 36.509740940201, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 16.41495816006197, "delta_floor": 12.066321684656312, "delta_vs_naive": -24.443419255544683}, "M1_orth_avg": {"nll": 20.23487697733203, "delta_floor": 15.88624050192637, "delta_vs_naive": -20.623500438274625}, "M2_task_arith": {"nll": 212.6887281881931, "delta_floor": 208.34009171278743, "delta_vs_naive": 171.83035077258643}, "M3_ties": {"nll": 348.00821510110893, "delta_floor": 343.65957862570326, "delta_vs_naive": 307.1498376855023}}, "barrier_naive": {"barrier": 36.484315676854, "losses": [4.348636475405659, 15.71647390227495, 34.586629311399214, 40.858377415606654, 30.407264147097194, 13.702709658349642, 4.399487002099641]}, "barrier_perm": {"barrier": 12.040895863910634, "losses": [4.348636475405659, 8.569376388719014, 15.489215768713308, 16.41495816006197, 12.505105134947815, 7.289685193962002, 4.3994881168970155]}, "secs": 16.46062684059143}
{"set": "set1_polypythia", "size": "14m", "pair": [2, 7], "parent_nll": {"a": 4.348636475405659, "b": 4.525117021872962}, "floor": 4.348636475405659, "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": 0.07006237316871258, "weight_cosine_bn": 0.19770512341227728, "d_raw": 1.383165375465206, "qmd_perm": 1.0552355951423729, "coord_share_perm": 0.23708645845225781, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.0110073275145166, "coord_share_orth": 0.26906258250248627, "d_raw_bn_perm": 1.203829439032979, "qmd_bn_perm": 1.1238145774717256, "coordinate_gap_bn_perm": 0.08001486156125326, "coord_fraction_bn_perm": 0.06646694204913961, "d_raw_bn_orth": 1.203829439032979, "qmd_bn_orth": 1.1149063636876289, "coordinate_gap_bn_orth": 0.08892307534535004, "coord_fraction_bn_orth": 0.07386683899073014, "bnd_raw": 1.203829439032979, "bnd_perm": 1.1238145774717256, "bnd_orth": 1.1149063636876289, "coord_share_bnd_perm": 0.06646694204913961, "coord_share_bnd_orth": 0.07386683899073014, "cka_mean": 0.6547166693000818, "cka_last": 0.7832762526994974, "qmd_act_perm": 0.4658318509629117, "aligned_cka_perm": 0.5341681490370883, "qmd_act_procrustes": 0.4658318509629109, "aligned_cka_procrustes": 0.5341681490370891, "qmd_act_ot": 0.4659566819383901, "aligned_cka_ot": 0.5340433180616099, "task_vector_cosine": 0.2692836382522974}, "rungs": {"M0_naive_avg": {"nll": 34.22937943370842, "delta_floor": 29.880742958302758, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.172974190211187, "delta_floor": 8.824337714805528, "delta_vs_naive": -21.05640524349723}, "M1_orth_avg": {"nll": 16.324389473255057, "delta_floor": 11.975752997849398, "delta_vs_naive": -17.90498996045336}, "M2_task_arith": {"nll": 109.54652590916504, "delta_floor": 105.19788943375939, "delta_vs_naive": 75.31714647545662}, "M3_ties": {"nll": 217.5174545417482, "delta_floor": 213.16881806634254, "delta_vs_naive": 183.28807510803978}}, "barrier_naive": {"barrier": 29.792502685069106, "losses": [4.348636475405659, 13.299622816271201, 24.854335478840508, 34.22937943370842, 27.327378404272668, 11.806485508908187, 4.525117021872962]}, "barrier_perm": {"barrier": 11.298845377816509, "losses": [4.348636475405659, 7.113854574363992, 10.445257715671886, 13.172974190211187, 15.765130029965754, 8.47210490306996, 4.525108740521037]}, "secs": 17.561732053756714}
{"set": "set1_polypythia", "size": "14m", "pair": [2, 8], "parent_nll": {"a": 4.348636475405659, "b": 4.4403290372227655}, "floor": 4.348636475405659, "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": 0, "rejected": ["heads"]}}, "predictors": {"weight_cosine": 0.19295805438638083, "weight_cosine_bn": 0.1989205628435189, "d_raw": 1.27206721234724, "qmd_perm": 0.9682221292926669, "coord_share_perm": 0.23885929933994055, "norm_ratio_perm": 1.0, "qmd_orth": 1.0082806053780227, "coord_share_orth": 0.20736845066737777, "d_raw_bn_perm": 1.2235343065241497, "qmd_bn_perm": 1.1439860276209906, "coordinate_gap_bn_perm": 0.07954827890315919, "coord_fraction_bn_perm": 0.06501516016264566, "d_raw_bn_orth": 1.2235343065241497, "qmd_bn_orth": 1.156889940150549, "coordinate_gap_bn_orth": 0.06664436637360072, "coord_fraction_bn_orth": 0.05446873538260311, "bnd_raw": 1.2235343065241497, "bnd_perm": 1.1439860276209906, "bnd_orth": 1.156889940150549, "coord_share_bnd_perm": 0.06501516016264566, "coord_share_bnd_orth": 0.05446873538260311, "cka_mean": 0.46634414479231856, "cka_last": 0.7668810890547103, "qmd_act_perm": 0.9303594233110349, "aligned_cka_perm": 0.06964057668896505, "qmd_act_procrustes": 0.9303594233110349, "aligned_cka_procrustes": 0.06964057668896502, "qmd_act_ot": 0.9421489946698819, "aligned_cka_ot": 0.05785100533011813, "task_vector_cosine": 0.39174532284541996}, "rungs": {"M0_naive_avg": {"nll": 35.43039842221135, "delta_floor": 31.08176194680569, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.92163515930773, "delta_floor": 7.572998683902071, "delta_vs_naive": -23.508763262903617}, "M1_orth_avg": {"nll": 17.597426920254403, "delta_floor": 13.248790444848744, "delta_vs_naive": -17.832971501956944}, "M2_task_arith": {"nll": 147.51882032778866, "delta_floor": 143.170183852383, "delta_vs_naive": 112.08842190557732}, "M3_ties": {"nll": 167.4394926206784, "delta_floor": 163.09085614527274, "delta_vs_naive": 132.00909419846707}}, "barrier_naive": {"barrier": 31.035915665897136, "losses": [4.348636475405659, 13.401034659368884, 30.265635192433137, 35.43039842221135, 24.543667568697, 10.68371542217058, 4.4403290372227655]}, "barrier_perm": {"barrier": 7.527152323365134, "losses": [4.348636475405659, 7.206782013158431, 11.017946645160633, 11.92163515930773, 9.832372377996576, 6.63246739058423, 4.440329196479533]}, "secs": 18.66802668571472}
{"set": "set1_polypythia", "size": "14m", "pair": [2, 9], "parent_nll": {"a": 4.348636475405659, "b": 4.318967098825832}, "floor": 4.318967098825832, "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": 0, "rejected": ["heads"]}}, "predictors": {"weight_cosine": 0.04637965604988709, "weight_cosine_bn": 0.18584547480305638, "d_raw": 1.381064963816671, "qmd_perm": 1.135423633155784, "coord_share_perm": 0.17786370452990108, "norm_ratio_perm": 1.0, "qmd_orth": 1.1598781908175078, "coord_share_orth": 0.16015667531518424, "d_raw_bn_perm": 1.2326773157874065, "qmd_bn_perm": 1.1360933531597528, "coordinate_gap_bn_perm": 0.09658396262765367, "coord_fraction_bn_perm": 0.07835299748820154, "d_raw_bn_orth": 1.2326773157874065, "qmd_bn_orth": 1.143707546171416, "coordinate_gap_bn_orth": 0.08896976961599057, "coord_fraction_bn_orth": 0.07217604191828474, "bnd_raw": 1.2326773157874065, "bnd_perm": 1.1360933531597528, "bnd_orth": 1.143707546171416, "coord_share_bnd_perm": 0.07835299748820154, "coord_share_bnd_orth": 0.07217604191828474, "cka_mean": 0.6353262382479754, "cka_last": 0.7826908641445587, "qmd_act_perm": 0.46497578806475126, "aligned_cka_perm": 0.5350242119352487, "qmd_act_procrustes": 0.4649757880647507, "aligned_cka_procrustes": 0.5350242119352493, "qmd_act_ot": 0.458798711189096, "aligned_cka_ot": 0.541201288810904, "task_vector_cosine": 0.29174113511509525}, "rungs": {"M0_naive_avg": {"nll": 33.07766251834638, "delta_floor": 28.75869541952055, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 19.918872054386824, "delta_floor": 15.599904955560993, "delta_vs_naive": -13.158790463959555}, "M1_orth_avg": {"nll": 11.502022242437215, "delta_floor": 7.183055143611384, "delta_vs_naive": -21.575640275909166}, "M2_task_arith": {"nll": 142.0648544520548, "delta_floor": 137.74588735322897, "delta_vs_naive": 108.9871919337084}, "M3_ties": {"nll": 146.5676013127854, "delta_floor": 142.24863421395958, "delta_vs_naive": 113.48993879443901}}, "barrier_naive": {"barrier": 28.743860731230633, "losses": [4.348636475405659, 11.494392569206621, 24.189102123083824, 33.07766251834638, 25.351109573752446, 11.697581590427268, 4.318967098825832]}, "barrier_perm": {"barrier": 15.58507209872391, "losses": [4.348636475405659, 7.2885584523299904, 12.086060764738258, 19.918872054386824, 17.03257947549739, 8.636615870128017, 4.318963435920173]}, "secs": 18.273879528045654}
{"set": "set1_polypythia", "size": "14m", "pair": [3, 4], "parent_nll": {"a": 4.461822808372065, "b": 4.712608581264269}, "floor": 4.461822808372065, "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": 0.07275466116459042, "weight_cosine_bn": 0.19749657202482912, "d_raw": 1.3691266556230273, "qmd_perm": 0.7792986825018278, "coord_share_perm": 0.4308059964348555, "norm_ratio_perm": 1.0, "qmd_orth": 0.7577581144272489, "coord_share_orth": 0.44653906830670265, "d_raw_bn_perm": 1.2417054226615931, "qmd_bn_perm": 1.16132283349349, "coordinate_gap_bn_perm": 0.08038258916810315, "coord_fraction_bn_perm": 0.06473563512012634, "d_raw_bn_orth": 1.2417054226615931, "qmd_bn_orth": 1.1469908878507467, "coordinate_gap_bn_orth": 0.09471453481084646, "coord_fraction_bn_orth": 0.07627778141439219, "bnd_raw": 1.2417054226615931, "bnd_perm": 1.16132283349349, "bnd_orth": 1.1469908878507467, "coord_share_bnd_perm": 0.06473563512012634, "coord_share_bnd_orth": 0.07627778141439219, "cka_mean": 0.6146452714214126, "cka_last": 0.7838528363118148, "qmd_act_perm": 0.40135537717568237, "aligned_cka_perm": 0.5986446228243176, "qmd_act_procrustes": 0.40135537717568237, "aligned_cka_procrustes": 0.5986446228243176, "qmd_act_ot": 0.4187843720063428, "aligned_cka_ot": 0.5812156279936572, "task_vector_cosine": 0.23445746089004763}, "rungs": {"M0_naive_avg": {"nll": 34.20493288282779, "delta_floor": 29.743110074455725, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.447475206906393, "delta_floor": 6.985652398534328, "delta_vs_naive": -22.757457675921398}, "M1_orth_avg": {"nll": 12.07819093230186, "delta_floor": 7.616368123929795, "delta_vs_naive": -22.126741950525933}, "M2_task_arith": {"nll": 142.354931099152, "delta_floor": 137.89310829077994, "delta_vs_naive": 108.1499982163242}, "M3_ties": {"nll": 266.5649869536856, "delta_floor": 262.10316414531354, "delta_vs_naive": 232.3600540708578}}, "barrier_naive": {"barrier": 29.617717188009625, "losses": [4.461822808372065, 14.556976338266471, 29.94692481551696, 34.20493288282779, 23.073422466161123, 10.41376118619537, 4.712608581264269]}, "barrier_perm": {"barrier": 6.860259671344994, "losses": [4.461822808372065, 7.468287518346379, 10.871899589244945, 11.447475206906393, 9.748588985037507, 7.2881227258133565, 4.7126082627507335]}, "secs": 17.737807750701904}
{"set": "set1_polypythia", "size": "14m", "pair": [3, 5], "parent_nll": {"a": 4.461822808372065, "b": 4.400566603728392}, "floor": 4.400566603728392, "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": -0.01552245068569404, "weight_cosine_bn": 0.19254722264295102, "d_raw": 1.4518417071255583, "qmd_perm": 0.8536336636891956, "coord_share_perm": 0.4120339293880255, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 0.8258709091556783, "coord_share_orth": 0.4311563684233964, "d_raw_bn_perm": 1.2511562653167274, "qmd_bn_perm": 1.175496009505509, "coordinate_gap_bn_perm": 0.07566025581121849, "coord_fraction_bn_perm": 0.06047226706095363, "d_raw_bn_orth": 1.2511562653167274, "qmd_bn_orth": 1.1560910969760332, "coordinate_gap_bn_orth": 0.09506516834069423, "coord_fraction_bn_orth": 0.0759818505297807, "bnd_raw": 1.2511562653167274, "bnd_perm": 1.175496009505509, "bnd_orth": 1.1560910969760332, "coord_share_bnd_perm": 0.06047226706095363, "coord_share_bnd_orth": 0.0759818505297807, "cka_mean": 0.5685804809414725, "cka_last": 0.7799053376032865, "qmd_act_perm": 0.8293733956587425, "aligned_cka_perm": 0.1706266043412575, "qmd_act_procrustes": 0.8293733956587427, "aligned_cka_procrustes": 0.17062660434125732, "qmd_act_ot": 0.6201711480391126, "aligned_cka_ot": 0.3798288519608874, "task_vector_cosine": 0.1348807245856803}, "rungs": {"M0_naive_avg": {"nll": 37.61556053286041, "delta_floor": 33.214993929132014, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.263899930691455, "delta_floor": 9.863333326963062, "delta_vs_naive": -23.351660602168952}, "M1_orth_avg": {"nll": 21.430858355756687, "delta_floor": 17.030291752028294, "delta_vs_naive": -16.18470217710372}, "M2_task_arith": {"nll": 195.56370270711025, "delta_floor": 191.16313610338187, "delta_vs_naive": 157.94814217424985}, "M3_ties": {"nll": 294.51726598173514, "delta_floor": 290.11669937800673, "delta_vs_naive": 256.90170544887474}}, "barrier_naive": {"barrier": 33.18436582681018, "losses": [4.461822808372065, 12.636875777173026, 26.871026862157535, 37.61556053286041, 32.73353667237443, 13.861618927857958, 4.400566603728392]}, "barrier_perm": {"barrier": 9.83270936531719, "losses": [4.461822808372065, 7.9460326591038815, 13.05931040545499, 14.263899930691455, 12.70863783227332, 7.899727798332518, 4.400558322376468]}, "secs": 14.345414161682129}
{"set": "set1_polypythia", "size": "14m", "pair": [3, 6], "parent_nll": {"a": 4.461822808372065, "b": 4.399487002099641}, "floor": 4.399487002099641, "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": 0, "rejected": ["heads"]}}, "predictors": {"weight_cosine": 0.043430913742018185, "weight_cosine_bn": 0.1856046502642256, "d_raw": 1.3990614563786374, "qmd_perm": 0.78040002715656, "coord_share_perm": 0.4421974648800881, "norm_ratio_perm": 1.0, "qmd_orth": 0.7974761828451856, "coord_share_orth": 0.429992028434983, "d_raw_bn_perm": 1.225208295216981, "qmd_bn_perm": 1.1126005230527505, "coordinate_gap_bn_perm": 0.11260777216423046, "coord_fraction_bn_perm": 0.09190908403398292, "d_raw_bn_orth": 1.225208295216981, "qmd_bn_orth": 1.1281820407843781, "coordinate_gap_bn_orth": 0.09702625443260282, "coord_fraction_bn_orth": 0.0791916401573332, "bnd_raw": 1.225208295216981, "bnd_perm": 1.1126005230527505, "bnd_orth": 1.1281820407843781, "coord_share_bnd_perm": 0.09190908403398292, "coord_share_bnd_orth": 0.0791916401573332, "cka_mean": 0.6598213522123286, "cka_last": 0.793979621269903, "qmd_act_perm": 0.2793137129428207, "aligned_cka_perm": 0.7206862870571793, "qmd_act_procrustes": 0.2793137129428207, "aligned_cka_procrustes": 0.7206862870571793, "qmd_act_ot": 0.34694042306288364, "aligned_cka_ot": 0.6530595769371164, "task_vector_cosine": 0.19611823051075952}, "rungs": {"M0_naive_avg": {"nll": 36.10570699812459, "delta_floor": 31.70621999602495, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.45987143519651, "delta_floor": 9.060384433096868, "delta_vs_naive": -22.645835562928077}, "M1_orth_avg": {"nll": 26.49262704867906, "delta_floor": 22.09314004657942, "delta_vs_naive": -9.613079949445527}, "M2_task_arith": {"nll": 216.6568207762557, "delta_floor": 212.25733377415605, "delta_vs_naive": 180.5511137781311}, "M3_ties": {"nll": 275.8512822080887, "delta_floor": 271.4517952059891, "delta_vs_naive": 239.74557520996413}}, "barrier_naive": {"barrier": 31.675052092888734, "losses": [4.461822808372065, 12.952723991458742, 26.530616795091323, 36.10570699812459, 35.41028875163079, 17.439444206621005, 4.399487002099641]}, "barrier_perm": {"barrier": 9.029214459622676, "losses": [4.461822808372065, 7.754198963939172, 12.494510419214775, 13.45987143519651, 12.39592156158268, 7.953685424565802, 4.399491142775603]}, "secs": 7.99623703956604}
{"set": "set1_polypythia", "size": "14m", "pair": [3, 7], "parent_nll": {"a": 4.461822808372065, "b": 4.525117021872962}, "floor": 4.461822808372065, "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": 0.005437199223311383, "weight_cosine_bn": 0.18967219912107616, "d_raw": 1.4103643326667397, "qmd_perm": 0.8355043147838939, "coord_share_perm": 0.4075968206001716, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 0.828320394841354, "coord_share_orth": 0.4126904831213702, "d_raw_bn_perm": 1.2326084480442072, "qmd_bn_perm": 1.1546668444351333, "coordinate_gap_bn_perm": 0.07794160360907387, "coord_fraction_bn_perm": 0.06323305972204282, "d_raw_bn_orth": 1.2326084480442072, "qmd_bn_orth": 1.1444974505484806, "coordinate_gap_bn_orth": 0.0881109974957266, "coord_fraction_bn_orth": 0.07148336329799884, "bnd_raw": 1.2326084480442072, "bnd_perm": 1.1546668444351333, "bnd_orth": 1.1444974505484806, "coord_share_bnd_perm": 0.06323305972204282, "coord_share_bnd_orth": 0.07148336329799884, "cka_mean": 0.5140788748651791, "cka_last": 0.8030774905709943, "qmd_act_perm": 0.9278732888436304, "aligned_cka_perm": 0.07212671115636957, "qmd_act_procrustes": 0.9278732888436305, "aligned_cka_procrustes": 0.07212671115636952, "qmd_act_ot": 0.7900793723145239, "aligned_cka_ot": 0.20992062768547615, "task_vector_cosine": 0.2025104920086014}, "rungs": {"M0_naive_avg": {"nll": 35.03833756319309, "delta_floor": 30.576514754821023, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.531745288547782, "delta_floor": 9.069922480175716, "delta_vs_naive": -21.506592274645307}, "M1_orth_avg": {"nll": 13.923804236484834, "delta_floor": 9.461981428112768, "delta_vs_naive": -21.114533326708255}, "M2_task_arith": {"nll": 135.3390614807567, "delta_floor": 130.87723867238464, "delta_vs_naive": 100.3007239175636}, "M3_ties": {"nll": 242.0579745596869, "delta_floor": 237.59615175131484, "delta_vs_naive": 207.0196369964938}}, "barrier_naive": {"barrier": 30.544867648070575, "losses": [4.461822808372065, 11.681174002670417, 26.857621901500327, 35.03833756319309, 34.4642398483366, 14.311963304692597, 4.525117021872962]}, "barrier_perm": {"barrier": 9.038279912243151, "losses": [4.461822808372065, 7.344777206152153, 11.564882162732388, 13.531745288547782, 13.343695852698957, 8.052735649054142, 4.525107944237198]}, "secs": 7.873766660690308}
{"set": "set1_polypythia", "size": "14m", "pair": [3, 8], "parent_nll": {"a": 4.461822808372065, "b": 4.4403290372227655}, "floor": 4.4403290372227655, "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": 0.027461269381015962, "weight_cosine_bn": 0.19001367800823124, "d_raw": 1.4047538995288702, "qmd_perm": 0.8769648281607455, "coord_share_perm": 0.3757163952669118, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 0.8534741939259797, "coord_share_orth": 0.3924386369653646, "d_raw_bn_perm": 1.2156710228211605, "qmd_bn_perm": 1.1262277292282312, "coordinate_gap_bn_perm": 0.08944329359292924, "coord_fraction_bn_perm": 0.073575245205205, "d_raw_bn_orth": 1.2156710228211605, "qmd_bn_orth": 1.1264620176442044, "coordinate_gap_bn_orth": 0.08920900517695607, "coord_fraction_bn_orth": 0.07338252167097986, "bnd_raw": 1.2156710228211605, "bnd_perm": 1.1262277292282312, "bnd_orth": 1.1264620176442044, "coord_share_bnd_perm": 0.073575245205205, "coord_share_bnd_orth": 0.07338252167097986, "cka_mean": 0.5500286844147276, "cka_last": 0.7778646458068331, "qmd_act_perm": 0.32385740291033327, "aligned_cka_perm": 0.6761425970896667, "qmd_act_procrustes": 0.3238574029103334, "aligned_cka_procrustes": 0.6761425970896666, "qmd_act_ot": 0.3874569624573423, "aligned_cka_ot": 0.6125430375426577, "task_vector_cosine": 0.2483945709673774}, "rungs": {"M0_naive_avg": {"nll": 35.98369847725049, "delta_floor": 31.543369440027725, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.543642724641227, "delta_floor": 9.103313687418462, "delta_vs_naive": -22.440055752609265}, "M1_orth_avg": {"nll": 23.377378659083497, "delta_floor": 18.93704962186073, "delta_vs_naive": -12.606319818166995}, "M2_task_arith": {"nll": 149.9005116601435, "delta_floor": 145.46018262292074, "delta_vs_naive": 113.91681318289301}, "M3_ties": {"nll": 241.06894161774298, "delta_floor": 236.6286125805202, "delta_vs_naive": 205.08524314049248}}, "barrier_naive": {"barrier": 31.532622554453077, "losses": [4.461822808372065, 11.802249278885355, 26.339882608651337, 35.98369847725049, 31.769129922945204, 13.817410841691128, 4.4403290372227655]}, "barrier_perm": {"barrier": 9.092566801843812, "losses": [4.461822808372065, 7.519140593148647, 11.675451588490704, 13.543642724641227, 11.641860832517938, 7.424399856796314, 4.4403290372227655]}, "secs": 10.661638021469116}
{"set": "set1_polypythia", "size": "14m", "pair": [3, 9], "parent_nll": {"a": 4.461822808372065, "b": 4.318967098825832}, "floor": 4.318967098825832, "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": 0.08732219775523081, "weight_cosine_bn": 0.18763972611876292, "d_raw": 1.36920066686145, "qmd_perm": 1.047468235537085, "coord_share_perm": 0.23497828996961864, "norm_ratio_perm": 1.0, "qmd_orth": 1.0500493119915797, "coord_share_orth": 0.23309319268843548, "d_raw_bn_perm": 1.2785364922996987, "qmd_bn_perm": 1.2077691653176943, "coordinate_gap_bn_perm": 0.07076732698200439, "coord_fraction_bn_perm": 0.05535025977609404, "d_raw_bn_orth": 1.2785364922996987, "qmd_bn_orth": 1.2012263632255002, "coordinate_gap_bn_orth": 0.07731012907419843, "coord_fraction_bn_orth": 0.060467674986062384, "bnd_raw": 1.2785364922996987, "bnd_perm": 1.2077691653176943, "bnd_orth": 1.2012263632255002, "coord_share_bnd_perm": 0.05535025977609404, "coord_share_bnd_orth": 0.060467674986062384, "cka_mean": 0.5541987296950704, "cka_last": 0.7970089295914943, "qmd_act_perm": 0.8460692681124398, "aligned_cka_perm": 0.15393073188756026, "qmd_act_procrustes": 0.8460692681124397, "aligned_cka_procrustes": 0.15393073188756037, "qmd_act_ot": 0.6554682807025207, "aligned_cka_ot": 0.3445317192974793, "task_vector_cosine": 0.30369116766477416}, "rungs": {"M0_naive_avg": {"nll": 27.392295922007502, "delta_floor": 23.07332882318167, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.991223678041422, "delta_floor": 7.67225657921559, "delta_vs_naive": -15.40107224396608}, "M1_orth_avg": {"nll": 12.744453405291912, "delta_floor": 8.42548630646608, "delta_vs_naive": -14.64784251671559}, "M2_task_arith": {"nll": 153.70259499347685, "delta_floor": 149.38362789465103, "delta_vs_naive": 126.31029907146934}, "M3_ties": {"nll": 230.31186806914548, "delta_floor": 225.99290097031965, "delta_vs_naive": 202.91957214713798}}, "barrier_naive": {"barrier": 23.001900968408556, "losses": [4.461822808372065, 10.7554239669969, 22.28716861851761, 27.392295922007502, 23.866284195613176, 11.796928191760436, 4.318967098825832]}, "barrier_perm": {"barrier": 7.600830157753384, "losses": [4.461822808372065, 7.099385141470972, 11.014925225762394, 11.991223678041422, 10.516665265207111, 7.687958340977659, 4.318964232204012]}, "secs": 7.3676111698150635}
{"set": "set1_polypythia", "size": "14m", "pair": [4, 5], "parent_nll": {"a": 4.712608581264269, "b": 4.400566603728392}, "floor": 4.400566603728392, "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": -0.0415287789553835, "weight_cosine_bn": 0.1919595405717417, "d_raw": 1.4495788307338024, "qmd_perm": 0.7755636604239159, "coord_share_perm": 0.46497310530444774, "norm_ratio_perm": 0.9999999999999999, "qmd_orth": 0.7327749696418533, "coord_share_orth": 0.494491121072105, "d_raw_bn_perm": 1.233551497072125, "qmd_bn_perm": 1.1423987713741746, "coordinate_gap_bn_perm": 0.09115272569795052, "coord_fraction_bn_perm": 0.07389454426045812, "d_raw_bn_orth": 1.233551497072125, "qmd_bn_orth": 1.1527347496766513, "coordinate_gap_bn_orth": 0.08081674739547373, "coord_fraction_bn_orth": 0.06551550347698895, "bnd_raw": 1.233551497072125, "bnd_perm": 1.1423987713741746, "bnd_orth": 1.1527347496766513, "coord_share_bnd_perm": 0.07389454426045812, "coord_share_bnd_orth": 0.06551550347698895, "cka_mean": 0.5259588376807842, "cka_last": 0.7770217931868745, "qmd_act_perm": 0.831199388484607, "aligned_cka_perm": 0.16880061151539305, "qmd_act_procrustes": 0.8311993884846072, "aligned_cka_procrustes": 0.16880061151539286, "qmd_act_ot": 0.4818550689773833, "aligned_cka_ot": 0.5181449310226167, "task_vector_cosine": 0.08966230570682891}, "rungs": {"M0_naive_avg": {"nll": 44.830636160714285, "delta_floor": 40.43006955698589, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 19.527123338633398, "delta_floor": 15.126556734905005, "delta_vs_naive": -25.303512822080886}, "M1_orth_avg": {"nll": 23.242344845686564, "delta_floor": 18.84177824195817, "delta_vs_naive": -21.58829131502772}, "M2_task_arith": {"nll": 171.7889656718852, "delta_floor": 167.38839906815682, "delta_vs_naive": 126.95832951117092}, "M3_ties": {"nll": 316.1240215264188, "delta_floor": 311.7234549226904, "delta_vs_naive": 271.2933853657045}}, "barrier_naive": {"barrier": 40.27404856821796, "losses": [4.712608581264269, 12.268411037895467, 30.335125927511417, 44.830636160714285, 31.40991991295662, 15.557216178958742, 4.400566603728392]}, "barrier_perm": {"barrier": 14.970533436913936, "losses": [4.712608581264269, 8.307493604248206, 14.165720362952545, 19.527123338633398, 15.376806608773647, 8.628270815496576, 4.400571222174658]}, "secs": 9.022641897201538}
{"set": "set1_polypythia", "size": "14m", "pair": [4, 6], "parent_nll": {"a": 4.712608581264269, "b": 4.399487002099641}, "floor": 4.399487002099641, "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": -0.08056456731682189, "weight_cosine_bn": 0.18129842601455082, "d_raw": 1.4716769118228719, "qmd_perm": 0.7180383471816553, "coord_share_perm": 0.5120951199184968, "norm_ratio_perm": 0.9999999999999999, "qmd_orth": 0.7532583676651946, "coord_share_orth": 0.48816322277409263, "d_raw_bn_perm": 1.273582423299529, "qmd_bn_perm": 1.1855355060370352, "coordinate_gap_bn_perm": 0.0880469172624938, "coord_fraction_bn_perm": 0.06913326978428815, "d_raw_bn_orth": 1.273582423299529, "qmd_bn_orth": 1.1860833156680604, "coordinate_gap_bn_orth": 0.08749910763146862, "coord_fraction_bn_orth": 0.0687031369393279, "bnd_raw": 1.273582423299529, "bnd_perm": 1.1855355060370352, "bnd_orth": 1.1860833156680604, "coord_share_bnd_perm": 0.06913326978428815, "coord_share_bnd_orth": 0.0687031369393279, "cka_mean": 0.5806472068413037, "cka_last": 0.7659146937989892, "qmd_act_perm": 0.35513708242384523, "aligned_cka_perm": 0.6448629175761548, "qmd_act_procrustes": 0.3551370824238451, "aligned_cka_procrustes": 0.6448629175761549, "qmd_act_ot": 0.40489414574744764, "aligned_cka_ot": 0.5951058542525524, "task_vector_cosine": 0.06660521231091616}, "rungs": {"M0_naive_avg": {"nll": 46.936409409654274, "delta_floor": 42.536922407554634, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.769642729737443, "delta_floor": 9.370155727637801, "delta_vs_naive": -33.16676667991683}, "M1_orth_avg": {"nll": 27.055330897341815, "delta_floor": 22.655843895242175, "delta_vs_naive": -19.88107851231246}, "M2_task_arith": {"nll": 185.19105715916504, "delta_floor": 180.7915701570654, "delta_vs_naive": 138.25464774951075}, "M3_ties": {"nll": 348.39185828440964, "delta_floor": 343.99237128231, "delta_vs_naive": 301.45544887475535}}, "barrier_naive": {"barrier": 42.38036161797232, "losses": [4.712608581264269, 13.194373203583659, 33.495454174820615, 46.936409409654274, 38.71423475212003, 20.18330963592629, 4.399487002099641]}, "barrier_perm": {"barrier": 9.213591832548516, "losses": [4.712608581264269, 7.234137866672782, 10.72055214958415, 13.769642729737443, 11.74432536285062, 7.5871529476516635, 4.399493213113584]}, "secs": 8.067878484725952}
{"set": "set1_polypythia", "size": "14m", "pair": [4, 7], "parent_nll": {"a": 4.712608581264269, "b": 4.525117021872962}, "floor": 4.525117021872962, "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": 0, "rejected": ["heads"]}}, "predictors": {"weight_cosine": 0.018713774480219186, "weight_cosine_bn": 0.19491484694450342, "d_raw": 1.4081859236856133, "qmd_perm": 0.7795889894874098, "coord_share_perm": 0.4463877415795997, "norm_ratio_perm": 1.0, "qmd_orth": 0.7601346788317584, "coord_share_orth": 0.46020289931440655, "d_raw_bn_perm": 1.2262128085566903, "qmd_bn_perm": 1.1489005654755247, "coordinate_gap_bn_perm": 0.07731224308116569, "coord_fraction_bn_perm": 0.06304961303753286, "d_raw_bn_orth": 1.2262128085566903, "qmd_bn_orth": 1.1382475601476183, "coordinate_gap_bn_orth": 0.08796524840907205, "coord_fraction_bn_orth": 0.07173734264985476, "bnd_raw": 1.2262128085566903, "bnd_perm": 1.1489005654755247, "bnd_orth": 1.1382475601476183, "coord_share_bnd_perm": 0.06304961303753286, "coord_share_bnd_orth": 0.07173734264985476, "cka_mean": 0.49904747925196746, "cka_last": 0.7989177348474447, "qmd_act_perm": 0.9308158596061377, "aligned_cka_perm": 0.06918414039386236, "qmd_act_procrustes": 0.9308158596061377, "aligned_cka_procrustes": 0.06918414039386232, "qmd_act_ot": 0.7340658276844938, "aligned_cka_ot": 0.26593417231550626, "task_vector_cosine": 0.1846756999365633}, "rungs": {"M0_naive_avg": {"nll": 31.396418124184606, "delta_floor": 26.871301102311644, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 23.322972725048924, "delta_floor": 18.797855703175962, "delta_vs_naive": -8.073445399135682}, "M1_orth_avg": {"nll": 18.151560206702545, "delta_floor": 13.626443184829583, "delta_vs_naive": -13.244857917482062}, "M2_task_arith": {"nll": 105.29654119781475, "delta_floor": 100.77142417594179, "delta_vs_naive": 73.90012307363014}, "M3_ties": {"nll": 242.26029945368558, "delta_floor": 237.7351824318126, "delta_vs_naive": 210.86388132950097}}, "barrier_naive": {"barrier": 26.77755532261599, "losses": [4.712608581264269, 10.567478366560666, 21.59436664220483, 31.396418124184606, 27.50027264758643, 12.887409605858611, 4.525117021872962]}, "barrier_perm": {"barrier": 18.70411796594708, "losses": [4.712608581264269, 7.223546017561563, 11.565237942351597, 23.322972725048924, 20.289373369210697, 8.707997301553327, 4.525100936939416]}, "secs": 7.869968891143799}
{"set": "set1_polypythia", "size": "14m", "pair": [4, 8], "parent_nll": {"a": 4.712608581264269, "b": 4.4403290372227655}, "floor": 4.4403290372227655, "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": -0.001998846154796035, "weight_cosine_bn": 0.19059090674838855, "d_raw": 1.4492775999320209, "qmd_perm": 0.8597826167715441, "coord_share_perm": 0.40675091037640226, "norm_ratio_perm": 1.0, "qmd_orth": 0.8850863091568183, "coord_share_orth": 0.3892913895872442, "d_raw_bn_perm": 1.2388524150043103, "qmd_bn_perm": 1.1687219795178094, "coordinate_gap_bn_perm": 0.07013043548650089, "coord_fraction_bn_perm": 0.05660919302179904, "d_raw_bn_orth": 1.2388524150043103, "qmd_bn_orth": 1.1458444975260917, "coordinate_gap_bn_orth": 0.09300791747821857, "coord_fraction_bn_orth": 0.0750758656574076, "bnd_raw": 1.2388524150043103, "bnd_perm": 1.1687219795178094, "bnd_orth": 1.1458444975260917, "coord_share_bnd_perm": 0.05660919302179904, "coord_share_bnd_orth": 0.0750758656574076, "cka_mean": 0.5453602209362859, "cka_last": 0.7464712945782697, "qmd_act_perm": 0.32116905495318615, "aligned_cka_perm": 0.6788309450468138, "qmd_act_procrustes": 0.32116905495318604, "aligned_cka_procrustes": 0.678830945046814, "qmd_act_ot": 0.3819776764134849, "aligned_cka_ot": 0.6180223235865151, "task_vector_cosine": 0.1924709141060435}, "rungs": {"M0_naive_avg": {"nll": 43.079290759540115, "delta_floor": 38.63896172231735, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.28503808147831, "delta_floor": 6.844709044255545, "delta_vs_naive": -31.794252678061802}, "M1_orth_avg": {"nll": 24.90095757909328, "delta_floor": 20.460628541870513, "delta_vs_naive": -18.178333180446835}, "M2_task_arith": {"nll": 146.76614481409, "delta_floor": 142.32581577686724, "delta_vs_naive": 103.6868540545499}, "M3_ties": {"nll": 313.9790647423353, "delta_floor": 309.5387357051126, "delta_vs_naive": 270.8997739827952}}, "barrier_naive": {"barrier": 38.5028219502966, "losses": [4.712608581264269, 12.731749811439986, 29.211608926532943, 43.079290759540115, 35.269667573793214, 19.339266603473583, 4.4403290372227655]}, "barrier_perm": {"barrier": 6.708565688957519, "losses": [4.712608581264269, 7.488637029619211, 9.993227765207111, 11.28503808147831, 10.51152827890574, 7.416003680742417, 4.440336203777315]}, "secs": 11.23890995979309}
{"set": "set1_polypythia", "size": "14m", "pair": [4, 9], "parent_nll": {"a": 4.712608581264269, "b": 4.318967098825832}, "floor": 4.318967098825832, "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": 0.028775099673996735, "weight_cosine_bn": 0.1793227287270247, "d_raw": 1.4407371552974464, "qmd_perm": 1.0453676765393685, "coord_share_perm": 0.274421657902237, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.030774036361796, "coord_share_orth": 0.2845509449300012, "d_raw_bn_perm": 1.2524215058300545, "qmd_bn_perm": 1.1721660428801233, "coordinate_gap_bn_perm": 0.08025546294993124, "coord_fraction_bn_perm": 0.06408023383209246, "d_raw_bn_orth": 1.2524215058300545, "qmd_bn_orth": 1.1741322732099875, "coordinate_gap_bn_orth": 0.07828923262006704, "coord_fraction_bn_orth": 0.06251029086903143, "bnd_raw": 1.2524215058300545, "bnd_perm": 1.1721660428801233, "bnd_orth": 1.1741322732099875, "coord_share_bnd_perm": 0.06408023383209246, "coord_share_bnd_orth": 0.06251029086903143, "cka_mean": 0.5164851315799405, "cka_last": 0.7532682016022543, "qmd_act_perm": 0.8547023763472068, "aligned_cka_perm": 0.14529762365279325, "qmd_act_procrustes": 0.8547023763472068, "aligned_cka_procrustes": 0.14529762365279322, "qmd_act_ot": 0.6206279383602169, "aligned_cka_ot": 0.37937206163978304, "task_vector_cosine": 0.22541451193775663}, "rungs": {"M0_naive_avg": {"nll": 39.24998725945858, "delta_floor": 34.93102016063275, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 10.9843463337818, "delta_floor": 6.665379234955969, "delta_vs_naive": -28.265640925676777}, "M1_orth_avg": {"nll": 15.321385890614808, "delta_floor": 11.002418791788976, "delta_vs_naive": -23.928601368843772}, "M2_task_arith": {"nll": 118.84298301940639, "delta_floor": 114.52401592058055, "delta_vs_naive": 79.59299575994781}, "M3_ties": {"nll": 218.88309279191128, "delta_floor": 214.56412569308546, "delta_vs_naive": 179.6331055324527}}, "barrier_naive": {"barrier": 34.73419941941353, "losses": [4.712608581264269, 9.591923006360078, 23.189465865541422, 39.24998725945858, 29.369381421232877, 12.418694642347521, 4.318967098825832]}, "barrier_perm": {"barrier": 6.468560802959884, "losses": [4.712608581264269, 7.097188512873043, 9.632024816026583, 10.9843463337818, 9.454107932770711, 7.258047562989237, 4.318962480379566]}, "secs": 9.158319234848022}
{"set": "set1_polypythia", "size": "14m", "pair": [5, 6], "parent_nll": {"a": 4.400566603728392, "b": 4.399487002099641}, "floor": 4.399487002099641, "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": 0.02709865900438984, "weight_cosine_bn": 0.18902156089982153, "d_raw": 1.3964962230676519, "qmd_perm": 0.7880193539091546, "coord_share_perm": 0.43571680260034634, "norm_ratio_perm": 0.9999999999999999, "qmd_orth": 0.7229122641679796, "coord_share_orth": 0.4823385468383334, "d_raw_bn_perm": 1.2518937551768972, "qmd_bn_perm": 1.1576117588234387, "coordinate_gap_bn_perm": 0.09428199635345846, "coord_fraction_bn_perm": 0.07531149984859224, "d_raw_bn_orth": 1.2518937551768972, "qmd_bn_orth": 1.14887353494492, "coordinate_gap_bn_orth": 0.10302022023197721, "coord_fraction_bn_orth": 0.08229150421588298, "bnd_raw": 1.2518937551768972, "bnd_perm": 1.1576117588234387, "bnd_orth": 1.14887353494492, "coord_share_bnd_perm": 0.07531149984859224, "coord_share_bnd_orth": 0.08229150421588298, "cka_mean": 0.5795599521895206, "cka_last": 0.7834462927002739, "qmd_act_perm": 0.8216998313651016, "aligned_cka_perm": 0.17830016863489842, "qmd_act_procrustes": 0.8216998313651016, "aligned_cka_procrustes": 0.17830016863489845, "qmd_act_ot": 0.8313780448233916, "aligned_cka_ot": 0.16862195517660833, "task_vector_cosine": 0.1387928092129462}, "rungs": {"M0_naive_avg": {"nll": 58.09793781596543, "delta_floor": 53.69845081386579, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 19.325746977943574, "delta_floor": 14.926259975843934, "delta_vs_naive": -38.77219083802186}, "M1_orth_avg": {"nll": 23.38945732937867, "delta_floor": 18.98997032727903, "delta_vs_naive": -34.708480486586765}, "M2_task_arith": {"nll": 215.7991937785388, "delta_floor": 211.39970677643916, "delta_vs_naive": 157.70125596257338}, "M3_ties": {"nll": 318.0542441291585, "delta_floor": 313.6547571270589, "delta_vs_naive": 259.95630631319307}}, "barrier_naive": {"barrier": 53.69791101305141, "losses": [4.400566603728392, 16.218167757257014, 44.34490174494455, 58.09793781596543, 40.363441780821915, 17.589147479411285, 4.399487002099641]}, "barrier_perm": {"barrier": 14.925717706549657, "losses": [4.400566603728392, 9.493618899828768, 16.70810018142531, 19.325746977943574, 16.533525460697977, 9.08263260355512, 4.399491939059442]}, "secs": 18.65037441253662}
{"set": "set1_polypythia", "size": "14m", "pair": [5, 7], "parent_nll": {"a": 4.400566603728392, "b": 4.525117021872962}, "floor": 4.400566603728392, "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": 0.025131834842244162, "weight_cosine_bn": 0.19776545514427252, "d_raw": 1.4238395363625747, "qmd_perm": 0.8196488815552437, "coord_share_perm": 0.42433900687350795, "norm_ratio_perm": 1.0, "qmd_orth": 0.8030785534240225, "coord_share_orth": 0.43597678466239614, "d_raw_bn_perm": 1.201404879198411, "qmd_bn_perm": 1.1191761627027605, "coordinate_gap_bn_perm": 0.08222871649565056, "coord_fraction_bn_perm": 0.06844380101944846, "d_raw_bn_orth": 1.201404879198411, "qmd_bn_orth": 1.0986986256754803, "coordinate_gap_bn_orth": 0.10270625352293083, "coord_fraction_bn_orth": 0.08548846046926115, "bnd_raw": 1.201404879198411, "bnd_perm": 1.1191761627027605, "bnd_orth": 1.0986986256754803, "coord_share_bnd_perm": 0.06844380101944846, "coord_share_bnd_orth": 0.08548846046926115, "cka_mean": 0.6942020265036791, "cka_last": 0.7905480954614003, "qmd_act_perm": 0.3824251988671984, "aligned_cka_perm": 0.6175748011328016, "qmd_act_procrustes": 0.38242519886719795, "aligned_cka_procrustes": 0.617574801132802, "qmd_act_ot": 0.3955072884707823, "aligned_cka_ot": 0.6044927115292177, "task_vector_cosine": 0.1644024889751239}, "rungs": {"M0_naive_avg": {"nll": 37.78716288527397, "delta_floor": 33.38659628154558, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.917373448202055, "delta_floor": 8.516806844473663, "delta_vs_naive": -24.869789437071915}, "M1_orth_avg": {"nll": 73.1127741764514, "delta_floor": 68.712207572723, "delta_vs_naive": 35.325611291177424}, "M2_task_arith": {"nll": 139.70462328767124, "delta_floor": 135.30405668394286, "delta_vs_naive": 101.91746040239727}, "M3_ties": {"nll": 315.78808912263537, "delta_floor": 311.38752251890696, "delta_vs_naive": 278.0009262373614}}, "barrier_naive": {"barrier": 33.324321072473296, "losses": [4.400566603728392, 13.564711757990867, 28.324603514350947, 37.78716288527397, 33.97737407248859, 13.704166857774789, 4.525117021872962]}, "barrier_perm": {"barrier": 16.88950738908934, "losses": [4.400566603728392, 6.886472379780251, 9.711358256380462, 12.917373448202055, 21.373100385273972, 9.744488760294358, 4.5251061924127525]}, "secs": 20.53852105140686}
{"set": "set1_polypythia", "size": "14m", "pair": [5, 8], "parent_nll": {"a": 4.400566603728392, "b": 4.4403290372227655}, "floor": 4.400566603728392, "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": 0.04451229731688345, "weight_cosine_bn": 0.19215707970122622, "d_raw": 1.4531019523192727, "qmd_perm": 0.9518893014144787, "coord_share_perm": 0.34492600474785445, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 0.924011224025226, "coord_share_orth": 0.3641112225123458, "d_raw_bn_perm": 1.2600324227990507, "qmd_bn_perm": 1.1884641149178898, "coordinate_gap_bn_perm": 0.07156830788116086, "coord_fraction_bn_perm": 0.05679878278225428, "d_raw_bn_orth": 1.2600324227990507, "qmd_bn_orth": 1.1903469451007056, "coordinate_gap_bn_orth": 0.0696854776983451, "coord_fraction_bn_orth": 0.055304511564507976, "bnd_raw": 1.2600324227990507, "bnd_perm": 1.1884641149178898, "bnd_orth": 1.1903469451007056, "coord_share_bnd_perm": 0.05679878278225428, "coord_share_bnd_orth": 0.055304511564507976, "cka_mean": 0.49742882161544527, "cka_last": 0.7621166280644124, "qmd_act_perm": 0.8115942814949644, "aligned_cka_perm": 0.18840571850503557, "qmd_act_procrustes": 0.8115942814949644, "aligned_cka_procrustes": 0.18840571850503557, "qmd_act_ot": 0.833505665692241, "aligned_cka_ot": 0.1664943343077589, "task_vector_cosine": 0.2005827028672253}, "rungs": {"M0_naive_avg": {"nll": 45.79767128383888, "delta_floor": 41.39710468011049, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.32238379352169, "delta_floor": 9.921817189793298, "delta_vs_naive": -31.475287490317193}, "M1_orth_avg": {"nll": 18.918747197080886, "delta_floor": 14.518180593352493, "delta_vs_naive": -26.878924086757994}, "M2_task_arith": {"nll": 167.78120413405088, "delta_floor": 163.3806375303225, "delta_vs_naive": 121.983532850212}, "M3_ties": {"nll": 293.3636863992172, "delta_floor": 288.9631197954888, "delta_vs_naive": 247.56601511537832}}, "barrier_naive": {"barrier": 41.3772234633633, "losses": [4.400566603728392, 14.72120287273728, 35.29930844341161, 45.79767128383888, 31.95194140370189, 15.072061139310176, 4.4403290372227655]}, "barrier_perm": {"barrier": 9.901935813789343, "losses": [4.400566603728392, 7.839298773340672, 12.56702129963715, 14.32238379352169, 12.53401724559687, 7.844677033645222, 4.440329355736301]}, "secs": 18.773613691329956}
{"set": "set1_polypythia", "size": "14m", "pair": [5, 9], "parent_nll": {"a": 4.400566603728392, "b": 4.318967098825832}, "floor": 4.318967098825832, "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": 0.11889762847287698, "weight_cosine_bn": 0.19133069368986383, "d_raw": 1.4196225311910329, "qmd_perm": 1.1650161315644125, "coord_share_perm": 0.1793479562577885, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.1388453260508418, "coord_share_orth": 0.1977830014466064, "d_raw_bn_perm": 1.2159774200103532, "qmd_bn_perm": 1.1542212762670725, "coordinate_gap_bn_perm": 0.061756143743280756, "coord_fraction_bn_perm": 0.0507872454923998, "d_raw_bn_orth": 1.2159774200103532, "qmd_bn_orth": 1.1411602136122974, "coordinate_gap_bn_orth": 0.07481720639805589, "coord_fraction_bn_orth": 0.06152845041926755, "bnd_raw": 1.2159774200103532, "bnd_perm": 1.1542212762670725, "bnd_orth": 1.1411602136122974, "coord_share_bnd_perm": 0.0507872454923998, "coord_share_bnd_orth": 0.06152845041926755, "cka_mean": 0.6530603345529177, "cka_last": 0.7699076166030445, "qmd_act_perm": 0.48448229820059785, "aligned_cka_perm": 0.5155177017994022, "qmd_act_procrustes": 0.48448229820059785, "aligned_cka_procrustes": 0.5155177017994022, "qmd_act_ot": 0.5007696887016035, "aligned_cka_ot": 0.4992303112983965, "task_vector_cosine": 0.26733253718149647}, "rungs": {"M0_naive_avg": {"nll": 28.57971247146119, "delta_floor": 24.260745372635355, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 14.067682215223417, "delta_floor": 9.748715116397586, "delta_vs_naive": -14.512030256237772}, "M1_orth_avg": {"nll": 17.225547078848663, "delta_floor": 12.906579980022832, "delta_vs_naive": -11.354165392612526}, "M2_task_arith": {"nll": 144.75914770874104, "delta_floor": 140.44018060991522, "delta_vs_naive": 116.17943523727985}, "M3_ties": {"nll": 259.39375407697327, "delta_floor": 255.07478697814744, "delta_vs_naive": 230.81404160551207}}, "barrier_naive": {"barrier": 24.219945620184077, "losses": [4.400566603728392, 10.888540010396282, 25.92374085229126, 28.57971247146119, 22.254962440883887, 11.005358034695043, 4.318967098825832]}, "barrier_perm": {"barrier": 9.707916638000448, "losses": [4.400566603728392, 7.873644406392694, 12.168455757195858, 14.067682215223417, 13.066669342180365, 8.312143264840183, 4.318964550717547]}, "secs": 22.113017797470093}
{"set": "set1_polypythia", "size": "14m", "pair": [6, 7], "parent_nll": {"a": 4.399487002099641, "b": 4.525117021872962}, "floor": 4.399487002099641, "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": 0.1094980041364507, "weight_cosine_bn": 0.17805800768318597, "d_raw": 1.3512332507403377, "qmd_perm": 0.8303022691198652, "coord_share_perm": 0.38552261893722317, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 0.7750969498386222, "coord_share_orth": 0.4263781257499782, "d_raw_bn_perm": 1.255376900017384, "qmd_bn_perm": 1.1707412176200314, "coordinate_gap_bn_perm": 0.08463568239735264, "coord_fraction_bn_perm": 0.06741854370283588, "d_raw_bn_orth": 1.255376900017384, "qmd_bn_orth": 1.1628717852571757, "coordinate_gap_bn_orth": 0.09250511476020828, "coord_fraction_bn_orth": 0.07368712516450422, "bnd_raw": 1.255376900017384, "bnd_perm": 1.1707412176200314, "bnd_orth": 1.1628717852571757, "coord_share_bnd_perm": 0.06741854370283588, "coord_share_bnd_orth": 0.07368712516450422, "cka_mean": 0.5408356457671809, "cka_last": 0.7835282424870186, "qmd_act_perm": 0.9230376485775157, "aligned_cka_perm": 0.0769623514224843, "qmd_act_procrustes": 0.9230376485775156, "aligned_cka_procrustes": 0.07696235142248443, "qmd_act_ot": 0.7464387801275062, "aligned_cka_ot": 0.2535612198724938, "task_vector_cosine": 0.2467782334116568}, "rungs": {"M0_naive_avg": {"nll": 49.58265681058382, "delta_floor": 45.18316980848418, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 21.031437285958905, "delta_floor": 16.631950283859265, "delta_vs_naive": -28.551219524624916}, "M1_orth_avg": {"nll": 26.98442723621983, "delta_floor": 22.58494023412019, "delta_vs_naive": -22.59822957436399}, "M2_task_arith": {"nll": 183.72639432485323, "delta_floor": 179.32690732275358, "delta_vs_naive": 134.14373751426942}, "M3_ties": {"nll": 307.43737769080235, "delta_floor": 303.0378906887027, "delta_vs_naive": 257.8547208802185}}, "barrier_naive": {"barrier": 101.56918443122827, "losses": [4.399487002099641, 19.65446377609263, 39.4516789485486, 49.58265681058382, 106.05242477984345, 47.117974865459885, 4.525117021872962]}, "barrier_perm": {"barrier": 22.55345899329338, "losses": [4.399487002099641, 8.596471379647749, 15.040775465794194, 21.031437285958905, 27.03669467037671, 10.159232879260436, 4.525110014575179]}, "secs": 17.55497145652771}
{"set": "set1_polypythia", "size": "14m", "pair": [6, 8], "parent_nll": {"a": 4.399487002099641, "b": 4.4403290372227655}, "floor": 4.399487002099641, "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": 0, "rejected": ["heads"]}}, "predictors": {"weight_cosine": 0.1688805649786672, "weight_cosine_bn": 0.22519487557365014, "d_raw": 1.3441365632541447, "qmd_perm": 0.8891763470410663, "coord_share_perm": 0.3384776730659146, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 0.9077569156690088, "coord_share_orth": 0.3246542498097544, "d_raw_bn_perm": 1.1892359409704731, "qmd_bn_perm": 1.125266593659324, "coordinate_gap_bn_perm": 0.06396934731114912, "coord_fraction_bn_perm": 0.05379029098207971, "d_raw_bn_orth": 1.1892359409704731, "qmd_bn_orth": 1.1253303689339613, "coordinate_gap_bn_orth": 0.06390557203651182, "coord_fraction_bn_orth": 0.05373666388215767, "bnd_raw": 1.1892359409704731, "bnd_perm": 1.125266593659324, "bnd_orth": 1.1253303689339613, "coord_share_bnd_perm": 0.05379029098207971, "coord_share_bnd_orth": 0.05373666388215767, "cka_mean": 0.600387726549677, "cka_last": 0.768189509086182, "qmd_act_perm": 0.24959720763454174, "aligned_cka_perm": 0.7504027923654583, "qmd_act_procrustes": 0.24959720763454185, "aligned_cka_procrustes": 0.7504027923654581, "qmd_act_ot": 0.283181028540731, "aligned_cka_ot": 0.716818971459269, "task_vector_cosine": 0.3141279419214121}, "rungs": {"M0_naive_avg": {"nll": 39.18705662915851, "delta_floor": 34.78756962705887, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.235655424412915, "delta_floor": 7.836168422313274, "delta_vs_naive": -26.951401204745597}, "M1_orth_avg": {"nll": 16.78627678061807, "delta_floor": 12.38678977851843, "delta_vs_naive": -22.40077984854044}, "M2_task_arith": {"nll": 187.46253771200261, "delta_floor": 183.06305070990297, "delta_vs_naive": 148.2754810828441}, "M3_ties": {"nll": 333.4401500326158, "delta_floor": 329.04066303051616, "delta_vs_naive": 294.2530934034573}}, "barrier_naive": {"barrier": 34.76714860949731, "losses": [4.399487002099641, 14.008292818411611, 29.438477836554142, 39.18705662915851, 36.27715773809524, 14.77243800452544, 4.4403290372227655]}, "barrier_perm": {"barrier": 7.8157479621503985, "losses": [4.399487002099641, 7.4124611732000165, 11.881178525562623, 12.235655424412915, 10.81052967526908, 7.347289959434116, 4.440327922425391]}, "secs": 8.826791286468506}
{"set": "set1_polypythia", "size": "14m", "pair": [6, 9], "parent_nll": {"a": 4.399487002099641, "b": 4.318967098825832}, "floor": 4.318967098825832, "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": 0.14123368088121624, "weight_cosine_bn": 0.21922707926521265, "d_raw": 1.3808535748747657, "qmd_perm": 1.1034392201553471, "coord_share_perm": 0.20090063115097356, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 1.1091838928433828, "coord_share_orth": 0.19674039809472305, "d_raw_bn_perm": 1.269196223167696, "qmd_bn_perm": 1.2125827337584316, "coordinate_gap_bn_perm": 0.05661348940926447, "coord_fraction_bn_perm": 0.04460578149844073, "d_raw_bn_orth": 1.269196223167696, "qmd_bn_orth": 1.2132837236050573, "coordinate_gap_bn_orth": 0.05591249956263877, "coord_fraction_bn_orth": 0.04405347143492971, "bnd_raw": 1.269196223167696, "bnd_perm": 1.2125827337584316, "bnd_orth": 1.2132837236050573, "coord_share_bnd_perm": 0.04460578149844073, "coord_share_bnd_orth": 0.04405347143492971, "cka_mean": 0.560638044916972, "cka_last": 0.7829365655702456, "qmd_act_perm": 0.8344545151766191, "aligned_cka_perm": 0.1655454848233809, "qmd_act_procrustes": 0.834454515176619, "aligned_cka_procrustes": 0.16554548482338108, "qmd_act_ot": 0.6199416727156037, "aligned_cka_ot": 0.3800583272843962, "task_vector_cosine": 0.2980262030692215}, "rungs": {"M0_naive_avg": {"nll": 32.56863329664058, "delta_floor": 28.249666197814747, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 15.806727897708742, "delta_floor": 11.48776079888291, "delta_vs_naive": -16.761905398931837}, "M1_orth_avg": {"nll": 13.116877904843443, "delta_floor": 8.797910806017612, "delta_vs_naive": -19.451755391797136}, "M2_task_arith": {"nll": 173.0579592710372, "delta_floor": 168.73899217221137, "delta_vs_naive": 140.48932597439662}, "M3_ties": {"nll": 224.02169459393346, "delta_floor": 219.70272749510764, "delta_vs_naive": 191.4530612972929}}, "barrier_naive": {"barrier": 28.209406246177842, "losses": [4.399487002099641, 14.286120390472114, 28.496823145996412, 32.56863329664058, 24.198320541829744, 10.846054126916178, 4.318967098825832]}, "barrier_perm": {"barrier": 11.447501404644692, "losses": [4.399487002099641, 8.676033831233692, 14.601150980512069, 15.806727897708742, 13.927386876732713, 9.147691222786204, 4.318965984028457]}, "secs": 7.6708855628967285}
{"set": "set1_polypythia", "size": "14m", "pair": [7, 8], "parent_nll": {"a": 4.525117021872962, "b": 4.4403290372227655}, "floor": 4.4403290372227655, "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": 0.07647102542455737, "weight_cosine_bn": 0.20278238504735294, "d_raw": 1.3692497751498964, "qmd_perm": 0.9093970607151786, "coord_share_perm": 0.33584282632756046, "norm_ratio_perm": 0.9999999999999998, "qmd_orth": 0.9035954804935601, "coord_share_orth": 0.34007987666483974, "d_raw_bn_perm": 1.2387032173038495, "qmd_bn_perm": 1.1609451365108578, "coordinate_gap_bn_perm": 0.07775808079299162, "coord_fraction_bn_perm": 0.06277377801782026, "d_raw_bn_orth": 1.2387032173038495, "qmd_bn_orth": 1.1560224724177157, "coordinate_gap_bn_orth": 0.08268074488613375, "coord_fraction_bn_orth": 0.06674782444344976, "bnd_raw": 1.2387032173038495, "bnd_perm": 1.1609451365108578, "bnd_orth": 1.1560224724177157, "coord_share_bnd_perm": 0.06277377801782026, "coord_share_bnd_orth": 0.06674782444344976, "cka_mean": 0.5179126737382472, "cka_last": 0.7717407765458245, "qmd_act_perm": 0.8824879628467908, "aligned_cka_perm": 0.11751203715320924, "qmd_act_procrustes": 0.8824879628467908, "aligned_cka_procrustes": 0.11751203715320918, "qmd_act_ot": 0.8908764700198365, "aligned_cka_ot": 0.10912352998016346, "task_vector_cosine": 0.2797520567458947}, "rungs": {"M0_naive_avg": {"nll": 36.400264493639924, "delta_floor": 31.959935456417156, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 13.407140245331865, "delta_floor": 8.9668112081091, "delta_vs_naive": -22.993124248308057}, "M1_orth_avg": {"nll": 26.070669872186887, "delta_floor": 21.630340834964123, "delta_vs_naive": -10.329594621453037}, "M2_task_arith": {"nll": 165.18554814905414, "delta_floor": 160.74521911183137, "delta_vs_naive": 128.78528365541422}, "M3_ties": {"nll": 220.14293868232224, "delta_floor": 215.70260964509947, "delta_vs_naive": 183.74267418868232}}, "barrier_naive": {"barrier": 34.02175351893754, "losses": [4.525117021872962, 12.362191296681344, 25.465181374347683, 36.400264493639924, 38.49034521771037, 17.42059266450587, 4.4403290372227655]}, "barrier_perm": {"barrier": 10.047337959423924, "losses": [4.525117021872962, 8.710751169581702, 14.544191523462981, 13.407140245331865, 10.385663514656718, 6.713000352912998, 4.440326648371249]}, "secs": 7.890313386917114}
{"set": "set1_polypythia", "size": "14m", "pair": [7, 9], "parent_nll": {"a": 4.525117021872962, "b": 4.318967098825832}, "floor": 4.318967098825832, "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": 0.06467537124304554, "weight_cosine_bn": 0.21970065347177525, "d_raw": 1.3854176098672693, "qmd_perm": 1.057101328783023, "coord_share_perm": 0.23698001147516862, "norm_ratio_perm": 1.0000000000000002, "qmd_orth": 1.0336460200344042, "coord_share_orth": 0.25391014761719877, "d_raw_bn_perm": 1.1928741485188696, "qmd_bn_perm": 1.1379057055360453, "coordinate_gap_bn_perm": 0.05496844298282433, "coord_fraction_bn_perm": 0.046080672509397416, "d_raw_bn_orth": 1.1928741485188696, "qmd_bn_orth": 1.1168094591500703, "coordinate_gap_bn_orth": 0.07606468936879929, "coord_fraction_bn_orth": 0.06376589639673631, "bnd_raw": 1.1928741485188696, "bnd_perm": 1.1379057055360453, "bnd_orth": 1.1168094591500703, "coord_share_bnd_perm": 0.046080672509397416, "coord_share_bnd_orth": 0.06376589639673631, "cka_mean": 0.696047832526009, "cka_last": 0.7888337857818899, "qmd_act_perm": 0.1904187232407205, "aligned_cka_perm": 0.8095812767592795, "qmd_act_procrustes": 0.1904187232407205, "aligned_cka_procrustes": 0.8095812767592795, "qmd_act_ot": 0.18120095387247315, "aligned_cka_ot": 0.8187990461275269, "task_vector_cosine": 0.27973238044076754}, "rungs": {"M0_naive_avg": {"nll": 34.73176828522505, "delta_floor": 30.41280118639922, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 12.311811692249673, "delta_floor": 7.9928445934238415, "delta_vs_naive": -22.419956592975378}, "M1_orth_avg": {"nll": 17.044215411978147, "delta_floor": 12.725248313152315, "delta_vs_naive": -17.687552873246904}, "M2_task_arith": {"nll": 120.20408054060665, "delta_floor": 115.88511344178082, "delta_vs_naive": 85.47231225538161}, "M3_ties": {"nll": 186.93564497716895, "delta_floor": 182.61667787834313, "delta_vs_naive": 152.2038766919439}}, "barrier_naive": {"barrier": 35.80127579534953, "losses": [4.525117021872962, 13.798782259050881, 40.257676176206786, 34.73176828522505, 34.76280424412916, 15.512948212247228, 4.318967098825832]}, "barrier_perm": {"barrier": 12.430835051183001, "losses": [4.525117021872962, 8.310259257277398, 16.887235378954664, 12.311811692249673, 9.941398287161611, 7.089757273575098, 4.318966939569064]}, "secs": 8.020966291427612}
{"set": "set1_polypythia", "size": "14m", "pair": [8, 9], "parent_nll": {"a": 4.4403290372227655, "b": 4.318967098825832}, "floor": 4.318967098825832, "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": 0.06735231186080373, "weight_cosine_bn": 0.17612650999047952, "d_raw": 1.3668179390325699, "qmd_perm": 1.0443136360161507, "coord_share_perm": 0.23595264139179128, "norm_ratio_perm": 1.0000000000000004, "qmd_orth": 1.069918257167177, "coord_share_orth": 0.21721962624776323, "d_raw_bn_perm": 1.2880637053326545, "qmd_bn_perm": 1.205838982107543, "coordinate_gap_bn_perm": 0.08222472322511143, "coord_fraction_bn_perm": 0.06383591346041081, "d_raw_bn_orth": 1.2880637053326545, "qmd_bn_orth": 1.2138365651541603, "coordinate_gap_bn_orth": 0.07422714017849419, "coord_fraction_bn_orth": 0.0576269169538663, "bnd_raw": 1.2880637053326545, "bnd_perm": 1.205838982107543, "bnd_orth": 1.2138365651541603, "coord_share_bnd_perm": 0.06383591346041081, "coord_share_bnd_orth": 0.0576269169538663, "cka_mean": 0.5278587792155155, "cka_last": 0.7702021363870494, "qmd_act_perm": 0.7819280405394831, "aligned_cka_perm": 0.2180719594605169, "qmd_act_procrustes": 0.7819280405394833, "aligned_cka_procrustes": 0.21807195946051672, "qmd_act_ot": 0.7501286656176085, "aligned_cka_ot": 0.24987133438239148, "task_vector_cosine": 0.3136459039407069}, "rungs": {"M0_naive_avg": {"nll": 31.342214127731573, "delta_floor": 27.023247028905743, "delta_vs_naive": 0.0}, "M1_perm_avg": {"nll": 11.629156601638943, "delta_floor": 7.310189502813111, "delta_vs_naive": -19.71305752609263}, "M1_orth_avg": {"nll": 13.90643473785062, "delta_floor": 9.587467639024789, "delta_vs_naive": -17.435779389880953}, "M2_task_arith": {"nll": 159.4454602902805, "delta_floor": 155.12649319145467, "delta_vs_naive": 128.1032461625489}, "M3_ties": {"nll": 192.7410561399217, "delta_floor": 188.4220890410959, "delta_vs_naive": 161.39884201219013}}, "barrier_naive": {"barrier": 26.962566059707274, "losses": [4.4403290372227655, 12.751841326749021, 25.529174565802347, 31.342214127731573, 25.194599029680365, 11.19021628343118, 4.318967098825832]}, "barrier_perm": {"barrier": 7.249510046553938, "losses": [4.4403290372227655, 6.3828395736505215, 9.357674456233692, 11.629156601638943, 10.636584337287998, 7.6491078117355675, 4.318964072947244]}, "secs": 7.528201580047607}