Initial release: DATABASE_v9_1 mirror from GitHub source-of-truth
Browse files- DATABASE_v9_1.csv +13 -0
- DATABASE_v9_1.md +70 -0
- DATABASE_v9_1_report.md +82 -0
- LICENSE +32 -0
- README.md +160 -0
- populate_database_v9_1.py +524 -0
DATABASE_v9_1.csv
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entry_id,family,size,arch,n_q,n_kv,qk_norm,training_tokens,eta_peak,lambda_wd,T_steps,tau_iter,T_over_tau,Physical_State,hp_confidence,n_records,k_median_qkv,lambda_median_qkv,R2_median_qkv,R2_below_95_qkv,k_median_o,lambda_median_o,R2_median_o,R2_below_95_o,k_median_ffn_in,lambda_median_ffn_in,R2_median_ffn_in,R2_below_95_ffn_in,k_median_ffn_out,lambda_median_ffn_out,R2_median_ffn_out,R2_below_95_ffn_out,k_median_q,lambda_median_q,R2_median_q,R2_below_95_q,k_median_k,lambda_median_k,R2_median_k,R2_below_95_k,k_median_v,lambda_median_v,R2_median_v,R2_below_95_v,k_median_gate,lambda_median_gate,R2_median_gate,R2_below_95_gate,k_median_up,lambda_median_up,R2_median_up,R2_below_95_up,k_median_down,lambda_median_down,R2_median_down,R2_below_95_down
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| 2 |
+
pythia-70m,Pythia,70m,MHA-merged,,,False,300B,0.001,0.01,143000,100000,1.43,Saturated,explicit,24,1.0488499908322977,0.027829200076895988,0.9980661795697541,1/6,1.1837935286072323,0.018602428920403802,0.9985356796636042,0/6,1.1902710504479086,0.026003913070232375,0.9983539238333419,0/6,1.1898015122737948,0.021012236928099785,0.9982397335063831,0/6,,,,,,,,,,,,,,,,,,,,,,,,
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| 3 |
+
pythia-160m,Pythia,160m,MHA-merged,,,False,300B,0.0006,0.01,143000,166667,0.858,Near-saturated,explicit,48,1.0982363830376656,0.02515902104056176,0.9994532449901053,0/12,1.191740628409264,0.015679046523988435,0.9982396364419186,0/12,1.1926538220592602,0.024112364246690256,0.9982122944417534,0/12,1.1953319289698738,0.018883547673911608,0.9981279582557228,0/12,,,,,,,,,,,,,,,,,,,,,,,,
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| 4 |
+
pythia-410m,Pythia,410m,MHA-merged,,,False,300B,0.0003,0.01,143000,333333,0.429,Approaching,explicit,96,1.146561528599217,0.02122171415636209,0.998936826903025,0/24,1.1988129781844883,0.017971449756907294,0.9980865208585606,0/24,1.1990799021662437,0.020800650303664674,0.9979860387362547,0/24,1.201096993470142,0.01715614873199387,0.9979236660582246,0/24,,,,,,,,,,,,,,,,,,,,,,,,
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| 5 |
+
pythia-1b,Pythia,1B,MHA-merged,,,False,300B,0.0003,0.01,143000,333333,0.429,Approaching,explicit,64,1.1758165081776015,0.020136835465006095,0.9986403658408189,0/16,1.199000460660631,0.018768755040468516,0.9980321219869854,0/16,1.199710534194005,0.020151192747180725,0.9980168719428919,0/16,1.1992630782799794,0.01733192000700065,0.9980239716959693,0/16,,,,,,,,,,,,,,,,,,,,,,,,
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| 6 |
+
pythia-6.9b,Pythia,6.9B,MHA-merged,,,False,300B,0.00012,0.01,143000,833333,0.172,Transition,explicit,128,1.1725961308622437,0.016787633359452464,0.9989545055530709,0/32,1.1986053979939104,0.013017965092167658,0.998024607412637,0/32,1.2026301500842531,0.016750572288110506,0.9978736032238523,0/32,1.200956915459356,0.014671536899830185,0.9979452059317363,0/32,,,,,,,,,,,,,,,,,,,,,,,,
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| 7 |
+
olmo-1-7b,OLMo-1,7B,MHA-separate,32,32,False,2.5T,0.0003,0.1,477000,33333,14.31,Saturated,explicit,224,,,,,1.0408657276990618,0.002401554550633505,0.9971792835186756,2/32,,,,,,,,,0.8122912154036579,0.001728964705557532,0.9987052449748253,12/32,0.760128189603047,0.0017030071063091484,0.9985575728031171,13/32,1.0601198634820659,0.0025129714668301892,0.9971448334283877,0/32,1.2009840121871695,0.003363367499645852,0.997926463922367,0/32,1.203942863882499,0.0034419612928361385,0.9977918785255582,0/32,1.204103938938425,0.0034857079668821657,0.9977980830738356,0/32
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| 8 |
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olmo-2-7b,OLMo-2,7B,MHA-separate,32,32,True,5T,0.0003,0.1,600000,33333,18.0,Saturated,inferred,224,,,,,1.1957824956841125,0.01633689288553169,0.9980401478865495,0/32,,,,,,,,,0.989513585691632,0.014060155205477352,0.9908743229136651,2/32,0.9715995155742865,0.013240338570321912,0.9935710555725896,7/32,1.1930013229215812,0.016630755274009916,0.9980887579980875,0/32,1.1976133728932,0.017549626600536647,0.9980961344940342,0/32,1.2031829219410521,0.01675671031075271,0.9978851898208778,0/32,1.2030757372152108,0.01654031946425652,0.997865366465111,0/32
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| 9 |
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llama-3-8b,Llama-3,8B,GQA-4:1,32,8,False,15T,0.0003,0.1,1000000,33333,30.0,Saturated,inferred,224,,,,,1.184071385746421,0.008293435300471455,0.998465712933232,0/32,,,,,,,,,1.1352115988550961,0.013524263847823039,0.9995330340960915,0/32,1.1461534355136989,0.0210008606786853,0.9994212651102061,0/32,1.1710054472835778,0.0074532770403264465,0.9984796629483923,0/32,1.1890150725270956,0.011714635540860925,0.9984570553256354,0/32,1.1970808681863536,0.009321699181305845,0.9979506822747821,0/32,1.1931330108175051,0.009227488024057286,0.9980590165512454,0/32
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| 10 |
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mistral-7b,Mistral,7B,GQA-4:1,32,8,False,8T,0.0003,0.1,500000,33333,15.0,Saturated,estimated,224,,,,,1.190243912925892,0.002402403275884374,0.9983281530362517,0/32,,,,,,,,,1.1485392032119919,0.0029794427980022876,0.999306901399193,1/32,1.1290637579544684,0.0035066491246891554,0.9996222872848544,0/32,1.1701993384534188,0.0023825545163240107,0.9983546533501352,0/32,1.194720188713138,0.0028355399128622725,0.9981770951518927,0/32,1.1964326908213916,0.002581969834286769,0.9980098695080295,0/32,1.1925738330014424,0.002545509262438919,0.9981714252724023,0/32
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| 11 |
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qwen2.5-7b,Qwen2.5,7B,GQA-7:1,28,4,False,18T,0.0003,0.1,1100000,33333,33.0,Saturated,inferred,196,,,,,1.1664607878011877,0.013070396382489802,0.9989430337848695,0/28,,,,,,,,,1.1328116652061784,0.013520394365978409,0.9993364777176525,0/28,1.1033345281197386,0.014088124992005789,0.9998005555777307,0/28,1.1430042518328158,0.01389958738996697,0.9986895435422882,0/28,1.190394620384456,0.01430298685422907,0.9982928398948381,0/28,1.1888191751907358,0.014378046711090012,0.9982963964287199,0/28,1.1829726136894823,0.014066967405546603,0.9985022496848237,0/28
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| 12 |
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qwen2.5-14b,Qwen2.5,14B,GQA-5:1,40,8,False,18T,0.0003,0.1,1100000,33333,33.0,Saturated,estimated,189,,,,,1.1841492889945942,0.01635424142703244,0.9985449642031292,0/27,,,,,,,,,1.1598333532217517,0.017467613550818994,0.9988577504081926,0/27,1.134601112331773,0.019688051072659123,0.9993206828179739,0/27,1.1636461389324964,0.016113911185781107,0.9985097429190216,0/27,1.1908688512686276,0.01786358668592591,0.9982032807344513,3/27,1.1914319791119936,0.018228218923577316,0.9980806394042295,1/27,1.1884973746873577,0.018154542924089155,0.9982328415038318,1/27
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| 13 |
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qwen3-8b,Qwen3,8B,GQA-4:1,32,8,True,36T,0.0003,0.1,2200000,33333,66.0,Saturated,inferred,252,,,,,1.1801768316123442,0.022653566194551916,0.9985957983960119,0/36,,,,,,,,,1.162275174612215,0.02149767664699718,0.9991031504379486,0/36,1.1539186367719623,0.02110274935915082,0.9992249255351853,0/36,1.1580956333123513,0.024755221044291426,0.9986119730450285,0/36,1.1872130646195065,0.02374112314986921,0.998329750229662,0/36,1.1885651746494985,0.023673103492721705,0.9981567875217829,1/36,1.1846459565046368,0.023230312440040608,0.9984190108999799,0/36
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DATABASE_v9_1.md
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| 1 |
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# DATABASE_v9_1 — Reference Table (12 family entries)
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**Source**: cascade v3 (per-component Weibull fit, mid-80% trim)
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**Generated**: by populate_database_v9_1.py
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## 12 entries (5 Pythia size + 7 cross-family) — k median per component
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| Entry | Family | Size | Architecture | n_q/n_kv | QK-Norm | tokens | k_q | k_k | k_v | k_o | k_gate | k_up | k_down | low-R²(q) |
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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| pythia-70m | Pythia | 70m | MHA-merged | merged | no | 300B | 1.0488 | — | — | 1.1838 | 0.0000 | 0.0000 | 0.0000 | 1/6 |
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| pythia-160m | Pythia | 160m | MHA-merged | merged | no | 300B | 1.0982 | — | — | 1.1917 | 0.0000 | 0.0000 | 0.0000 | 0/12 |
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| pythia-410m | Pythia | 410m | MHA-merged | merged | no | 300B | 1.1466 | — | — | 1.1988 | 0.0000 | 0.0000 | 0.0000 | 0/24 |
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| pythia-1b | Pythia | 1B | MHA-merged | merged | no | 300B | 1.1758 | — | — | 1.1990 | 0.0000 | 0.0000 | 0.0000 | 0/16 |
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| 14 |
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| pythia-6.9b | Pythia | 6.9B | MHA-merged | merged | no | 300B | 1.1726 | — | — | 1.1986 | 0.0000 | 0.0000 | 0.0000 | 0/32 |
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| olmo-1-7b | OLMo-1 | 7B | MHA-separate | 32/32 | no | 2.5T | 0.8123 | 0.7601 | 1.0601 | 1.0409 | 1.2010 | 1.2039 | 1.2041 | 12/32 |
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| 16 |
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| olmo-2-7b | OLMo-2 | 7B | MHA-separate | 32/32 | yes | 5T | 0.9895 | 0.9716 | 1.1930 | 1.1958 | 1.1976 | 1.2032 | 1.2031 | 2/32 |
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| 17 |
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| llama-3-8b | Llama-3 | 8B | GQA-4:1 | 32/8 | no | 15T | 1.1352 | 1.1462 | 1.1710 | 1.1841 | 1.1890 | 1.1971 | 1.1931 | 0/32 |
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| mistral-7b | Mistral | 7B | GQA-4:1 | 32/8 | no | 8T | 1.1485 | 1.1291 | 1.1702 | 1.1902 | 1.1947 | 1.1964 | 1.1926 | 1/32 |
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| qwen2.5-7b | Qwen2.5 | 7B | GQA-7:1 | 28/4 | no | 18T | 1.1328 | 1.1033 | 1.1430 | 1.1665 | 1.1904 | 1.1888 | 1.1830 | 0/28 |
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| qwen2.5-14b | Qwen2.5 | 14B | GQA-5:1 | 40/8 | no | 18T | 1.1598 | 1.1346 | 1.1636 | 1.1841 | 1.1909 | 1.1914 | 1.1885 | 0/27 |
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| qwen3-8b | Qwen3 | 8B | GQA-4:1 | 32/8 | yes | 36T | 1.1623 | 1.1539 | 1.1581 | 1.1802 | 1.1872 | 1.1886 | 1.1846 | 0/36 |
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## Training hyperparameters + T/τ + Physical State (Wang-Aitchison 2024 cycle ratio)
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τ_iter = 1/(η · λ_wd) — EMA iteration time-constant. T/τ_iter = T_steps / τ_iter — completed EMA cycles.
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| Entry | η_peak | λ_wd | T_steps | τ_iter | **T/τ** | **Physical State** | hp source |
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|---|---|---|---|---|---|---|---|
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| pythia-70m | 1.0e-03 | 0.01 | 143000 | 100000 | **1.43** | **Saturated** | explicit |
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| pythia-160m | 6.0e-04 | 0.01 | 143000 | 166667 | **0.86** | **Near-saturated** | explicit |
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| 31 |
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| pythia-410m | 3.0e-04 | 0.01 | 143000 | 333333 | **0.43** | **Approaching** | explicit |
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| 32 |
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| pythia-1b | 3.0e-04 | 0.01 | 143000 | 333333 | **0.43** | **Approaching** | explicit |
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| 33 |
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| pythia-6.9b | 1.2e-04 | 0.01 | 143000 | 833333 | **0.17** | **Transition** | explicit |
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| 34 |
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| olmo-1-7b | 3.0e-04 | 0.1 | 477000 | 33333 | **14.31** | **Saturated** | explicit |
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| 35 |
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| olmo-2-7b | 3.0e-04 | 0.1 | 600000 | 33333 | **18.00** | **Saturated** | inferred |
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| llama-3-8b | 3.0e-04 | 0.1 | 1000000 | 33333 | **30.00** | **Saturated** | inferred |
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| mistral-7b | 3.0e-04 | 0.1 | 500000 | 33333 | **15.00** | **Saturated** | estimated |
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| 38 |
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| qwen2.5-7b | 3.0e-04 | 0.1 | 1100000 | 33333 | **33.00** | **Saturated** | inferred |
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| 39 |
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| qwen2.5-14b | 3.0e-04 | 0.1 | 1100000 | 33333 | **33.00** | **Saturated** | estimated |
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| 40 |
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| qwen3-8b | 3.0e-04 | 0.1 | 2200000 | 33333 | **66.00** | **Saturated** | inferred |
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**Physical State thresholds** (Wang-Aitchison 2024 cycle ratio):
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- Saturated: T/τ ≥ 1.20
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- Near-saturated: 0.80 ≤ T/τ < 1.20
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- Approaching: 0.40 ≤ T/τ < 0.80
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- Partial: 0.25 ≤ T/τ < 0.40
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| 48 |
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- Transition: T/τ < 0.25
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| 49 |
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| 50 |
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**hp source confidence**:
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| 51 |
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| 52 |
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- *explicit*: paper Table / official tech report directly states the value
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- *inferred*: paper §3 states a quantity from which we derive it (e.g. tokens × batch / seq → steps)
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- *estimated*: paper does not publish; same-family typical recipe used as fallback
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| 56 |
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---
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| 57 |
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| 58 |
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## Verification
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| 59 |
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| 60 |
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Per-entry per-component sanity check is recorded in
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[`DATABASE_v9_1_report.md`](DATABASE_v9_1_report.md). All entries pass
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R² ≥ 0.99 on the Transmission Class components.
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**Transmission Class aggregated band** (median across components per
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entry, then aggregated across the 12 entries): k ∈ [1.186, 1.204],
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cross-family CV = 0.51%. See paper §3 for the strict-band definition
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and protocol.
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For per-block raw fits and the cascade pipeline that produces this
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table, see the `npm-weibull-py` repository on GitHub.
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DATABASE_v9_1_report.md
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# DATABASE_v9_1 sanity verify report
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| 2 |
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| 3 |
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### pythia-70m (Pythia 70m, MHA-merged)
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| 4 |
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records: 24; tokens: 300B; QK-Norm: False
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| 5 |
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k_median(qkv) = 1.0488, R2(qkv) = 0.9981, low-R2: 1/6
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k_median(gate)=n/a, k_median(up)=n/a, k_median(down)=n/a
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+
|
| 8 |
+
### pythia-160m (Pythia 160m, MHA-merged)
|
| 9 |
+
records: 48; tokens: 300B; QK-Norm: False
|
| 10 |
+
k_median(qkv) = 1.0982, R2(qkv) = 0.9995, low-R2: 0/12
|
| 11 |
+
k_median(gate)=n/a, k_median(up)=n/a, k_median(down)=n/a
|
| 12 |
+
|
| 13 |
+
### pythia-410m (Pythia 410m, MHA-merged)
|
| 14 |
+
records: 96; tokens: 300B; QK-Norm: False
|
| 15 |
+
k_median(qkv) = 1.1466, R2(qkv) = 0.9989, low-R2: 0/24
|
| 16 |
+
k_median(gate)=n/a, k_median(up)=n/a, k_median(down)=n/a
|
| 17 |
+
|
| 18 |
+
### pythia-1b (Pythia 1B, MHA-merged)
|
| 19 |
+
records: 64; tokens: 300B; QK-Norm: False
|
| 20 |
+
k_median(qkv) = 1.1758, R2(qkv) = 0.9986, low-R2: 0/16
|
| 21 |
+
k_median(gate)=n/a, k_median(up)=n/a, k_median(down)=n/a
|
| 22 |
+
|
| 23 |
+
### pythia-6.9b (Pythia 6.9B, MHA-merged)
|
| 24 |
+
records: 128; tokens: 300B; QK-Norm: False
|
| 25 |
+
k_median(qkv) = 1.1726, R2(qkv) = 0.9990, low-R2: 0/32
|
| 26 |
+
k_median(gate)=n/a, k_median(up)=n/a, k_median(down)=n/a
|
| 27 |
+
|
| 28 |
+
### olmo-1-7b (OLMo-1 7B, MHA-separate)
|
| 29 |
+
records: 224; tokens: 2.5T; QK-Norm: False
|
| 30 |
+
k_median(q) = 0.8123, R2(q) = 0.9987, low-R2: 12/32
|
| 31 |
+
k_median(k) = 0.7601, R2(k) = 0.9986, low-R2: 13/32
|
| 32 |
+
k_median(v) = 1.0601, R2(v) = 0.9971
|
| 33 |
+
k_median(o) = 1.0409, R2(o) = 0.9972
|
| 34 |
+
k_median(gate)=1.2010, k_median(up)=1.2039, k_median(down)=1.2041
|
| 35 |
+
|
| 36 |
+
### olmo-2-7b (OLMo-2 7B, MHA-separate)
|
| 37 |
+
records: 224; tokens: 5T; QK-Norm: True
|
| 38 |
+
k_median(q) = 0.9895, R2(q) = 0.9909, low-R2: 2/32
|
| 39 |
+
k_median(k) = 0.9716, R2(k) = 0.9936, low-R2: 7/32
|
| 40 |
+
k_median(v) = 1.1930, R2(v) = 0.9981
|
| 41 |
+
k_median(o) = 1.1958, R2(o) = 0.9980
|
| 42 |
+
k_median(gate)=1.1976, k_median(up)=1.2032, k_median(down)=1.2031
|
| 43 |
+
|
| 44 |
+
### llama-3-8b (Llama-3 8B, GQA-4:1)
|
| 45 |
+
records: 224; tokens: 15T; QK-Norm: False
|
| 46 |
+
k_median(q) = 1.1352, R2(q) = 0.9995, low-R2: 0/32
|
| 47 |
+
k_median(k) = 1.1462, R2(k) = 0.9994, low-R2: 0/32
|
| 48 |
+
k_median(v) = 1.1710, R2(v) = 0.9985
|
| 49 |
+
k_median(o) = 1.1841, R2(o) = 0.9985
|
| 50 |
+
k_median(gate)=1.1890, k_median(up)=1.1971, k_median(down)=1.1931
|
| 51 |
+
|
| 52 |
+
### mistral-7b (Mistral 7B, GQA-4:1)
|
| 53 |
+
records: 224; tokens: 8T; QK-Norm: False
|
| 54 |
+
k_median(q) = 1.1485, R2(q) = 0.9993, low-R2: 1/32
|
| 55 |
+
k_median(k) = 1.1291, R2(k) = 0.9996, low-R2: 0/32
|
| 56 |
+
k_median(v) = 1.1702, R2(v) = 0.9984
|
| 57 |
+
k_median(o) = 1.1902, R2(o) = 0.9983
|
| 58 |
+
k_median(gate)=1.1947, k_median(up)=1.1964, k_median(down)=1.1926
|
| 59 |
+
|
| 60 |
+
### qwen2.5-7b (Qwen2.5 7B, GQA-7:1)
|
| 61 |
+
records: 196; tokens: 18T; QK-Norm: False
|
| 62 |
+
k_median(q) = 1.1328, R2(q) = 0.9993, low-R2: 0/28
|
| 63 |
+
k_median(k) = 1.1033, R2(k) = 0.9998, low-R2: 0/28
|
| 64 |
+
k_median(v) = 1.1430, R2(v) = 0.9987
|
| 65 |
+
k_median(o) = 1.1665, R2(o) = 0.9989
|
| 66 |
+
k_median(gate)=1.1904, k_median(up)=1.1888, k_median(down)=1.1830
|
| 67 |
+
|
| 68 |
+
### qwen2.5-14b (Qwen2.5 14B, GQA-5:1)
|
| 69 |
+
records: 189; tokens: 18T; QK-Norm: False
|
| 70 |
+
k_median(q) = 1.1598, R2(q) = 0.9989, low-R2: 0/27
|
| 71 |
+
k_median(k) = 1.1346, R2(k) = 0.9993, low-R2: 0/27
|
| 72 |
+
k_median(v) = 1.1636, R2(v) = 0.9985
|
| 73 |
+
k_median(o) = 1.1841, R2(o) = 0.9985
|
| 74 |
+
k_median(gate)=1.1909, k_median(up)=1.1914, k_median(down)=1.1885
|
| 75 |
+
|
| 76 |
+
### qwen3-8b (Qwen3 8B, GQA-4:1)
|
| 77 |
+
records: 252; tokens: 36T; QK-Norm: True
|
| 78 |
+
k_median(q) = 1.1623, R2(q) = 0.9991, low-R2: 0/36
|
| 79 |
+
k_median(k) = 1.1539, R2(k) = 0.9992, low-R2: 0/36
|
| 80 |
+
k_median(v) = 1.1581, R2(v) = 0.9986
|
| 81 |
+
k_median(o) = 1.1802, R2(o) = 0.9986
|
| 82 |
+
k_median(gate)=1.1872, k_median(up)=1.1886, k_median(down)=1.1846
|
LICENSE
ADDED
|
@@ -0,0 +1,32 @@
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|
| 1 |
+
Creative Commons Attribution 4.0 International (CC BY 4.0)
|
| 2 |
+
|
| 3 |
+
Copyright (c) 2026 Tiexin Ding
|
| 4 |
+
|
| 5 |
+
Full license text: https://creativecommons.org/licenses/by/4.0/legalcode
|
| 6 |
+
|
| 7 |
+
You are free to:
|
| 8 |
+
|
| 9 |
+
Share — copy and redistribute the material in any medium or format
|
| 10 |
+
Adapt — remix, transform, and build upon the material for any
|
| 11 |
+
purpose, even commercially.
|
| 12 |
+
|
| 13 |
+
Under the following terms:
|
| 14 |
+
|
| 15 |
+
Attribution — You must give appropriate credit, provide a link to
|
| 16 |
+
the license, and indicate if changes were made. You
|
| 17 |
+
may do so in any reasonable manner, but not in any
|
| 18 |
+
way that suggests the licensor endorses you or your
|
| 19 |
+
use.
|
| 20 |
+
|
| 21 |
+
No additional restrictions — You may not apply legal terms or
|
| 22 |
+
technological measures that legally restrict others
|
| 23 |
+
from doing anything the license permits.
|
| 24 |
+
|
| 25 |
+
The licensor cannot revoke these freedoms as long as you follow the
|
| 26 |
+
license terms.
|
| 27 |
+
|
| 28 |
+
When citing this dataset, please cite the associated paper:
|
| 29 |
+
|
| 30 |
+
Ding, Tiexin (2026). A Two-Parameter Weibull Framework for
|
| 31 |
+
Diagnosing Transformer Weight Distributions.
|
| 32 |
+
arXiv:2605.18898. https://doi.org/10.48550/arXiv.2605.18898
|
README.md
ADDED
|
@@ -0,0 +1,160 @@
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|
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|
|
|
|
|
|
|
|
| 1 |
+
---
|
| 2 |
+
license: cc-by-4.0
|
| 3 |
+
task_categories:
|
| 4 |
+
- other
|
| 5 |
+
language:
|
| 6 |
+
- en
|
| 7 |
+
size_categories:
|
| 8 |
+
- n<1K
|
| 9 |
+
tags:
|
| 10 |
+
- weibull
|
| 11 |
+
- transformer
|
| 12 |
+
- weight-statistics
|
| 13 |
+
- model-diagnostics
|
| 14 |
+
- npm-weibull
|
| 15 |
+
pretty_name: NPM-Weibull DATABASE v9_1
|
| 16 |
+
configs:
|
| 17 |
+
- config_name: default
|
| 18 |
+
data_files: DATABASE_v9_1.csv
|
| 19 |
+
---
|
| 20 |
+
|
| 21 |
+
# NPM-Weibull DATABASE v9_1
|
| 22 |
+
|
| 23 |
+
Benchmark database of Weibull (k, λ) fits for **12 transformer model entries** spanning **7 architectural families** (Pythia, OLMo-1/2, LLaMA-3, Mistral, Qwen2.5, Qwen3) — 70M–14B parameters, GeLU and SwiGLU activations, Pre-LN and QK-Norm placements.
|
| 24 |
+
|
| 25 |
+
- 📄 **Paper**: [A Two-Parameter Weibull Framework for Diagnosing Transformer Weight Distributions](https://arxiv.org/abs/2605.18898) (arXiv:2605.18898)
|
| 26 |
+
- 📦 **Source repo (primary)**: [github.com/tiexinding/NPM-Weibull-public](https://github.com/tiexinding/NPM-Weibull-public) — directory `database_v9_1/`
|
| 27 |
+
- 🔧 **Python library**: `pip install npm-weibull-py` — [PyPI](https://pypi.org/project/npm-weibull-py/)
|
| 28 |
+
|
| 29 |
+
---
|
| 30 |
+
|
| 31 |
+
## 📌 Source of truth
|
| 32 |
+
|
| 33 |
+
The **primary, authoritative location** of this dataset is the GitHub repository above (directory `database_v9_1/`). This Hugging Face Dataset is a **mirror** synced from GitHub on each tagged release, provided for `load_dataset(...)` convenience and Dataset Viewer discoverability.
|
| 34 |
+
|
| 35 |
+
- Updates are **batched per release**, not per commit — for the latest state, watch the GitHub repo.
|
| 36 |
+
- Issues and pull requests: please file on [GitHub Issues](https://github.com/tiexinding/NPM-Weibull-public/issues) rather than HF discussions (faster response).
|
| 37 |
+
- License, citation, and documentation are kept consistent across both surfaces.
|
| 38 |
+
|
| 39 |
+
---
|
| 40 |
+
|
| 41 |
+
## Quick start
|
| 42 |
+
|
| 43 |
+
### Option 1 — `load_dataset` (Hugging Face)
|
| 44 |
+
|
| 45 |
+
```python
|
| 46 |
+
from datasets import load_dataset
|
| 47 |
+
|
| 48 |
+
ds = load_dataset("TiexinDing/NPM-Weibull-DATABASE-v9_1")
|
| 49 |
+
print(ds["train"][0]) # First entry: pythia-70m
|
| 50 |
+
```
|
| 51 |
+
|
| 52 |
+
### Option 2 — pandas
|
| 53 |
+
|
| 54 |
+
```python
|
| 55 |
+
import pandas as pd
|
| 56 |
+
|
| 57 |
+
df = pd.read_csv("DATABASE_v9_1.csv")
|
| 58 |
+
print(df[["entry_id", "k_median_o", "lambda_median_o"]].head())
|
| 59 |
+
```
|
| 60 |
+
|
| 61 |
+
### Option 3 — `npm-weibull-py` library (recommended for analysis)
|
| 62 |
+
|
| 63 |
+
```python
|
| 64 |
+
from npm_weibull import DATABASE_v9_1, compare_to_benchmark
|
| 65 |
+
|
| 66 |
+
print(DATABASE_v9_1) # 12 entries with per-component fits
|
| 67 |
+
|
| 68 |
+
cmp = compare_to_benchmark({
|
| 69 |
+
"median_k_per_kind": {"q": 1.14, "k": 1.13, "v": 1.19, "o": 1.19}
|
| 70 |
+
})
|
| 71 |
+
print(cmp["nearest_neighbor"]) # nearest of the 12 benchmark entries
|
| 72 |
+
```
|
| 73 |
+
|
| 74 |
+
---
|
| 75 |
+
|
| 76 |
+
## Dataset structure
|
| 77 |
+
|
| 78 |
+
### 12 entries
|
| 79 |
+
|
| 80 |
+
| `entry_id` | Family | Size | Architecture | QK-Norm | Tokens |
|
| 81 |
+
|---------------|----------|-------|---------------|---------|--------|
|
| 82 |
+
| pythia-70m | Pythia | 70m | MHA-merged | False | 300B |
|
| 83 |
+
| pythia-160m | Pythia | 160m | MHA-merged | False | 300B |
|
| 84 |
+
| pythia-410m | Pythia | 410m | MHA-merged | False | 300B |
|
| 85 |
+
| pythia-1b | Pythia | 1B | MHA-merged | False | 300B |
|
| 86 |
+
| pythia-6.9b | Pythia | 6.9B | MHA-merged | False | 300B |
|
| 87 |
+
| olmo-1-7b | OLMo-1 | 7B | MHA-separate | False | 2.5T |
|
| 88 |
+
| olmo-2-7b | OLMo-2 | 7B | MHA-separate | True | 5T |
|
| 89 |
+
| llama-3-8b | LLaMA-3 | 8B | GQA-4:1 | False | 15T |
|
| 90 |
+
| mistral-7b | Mistral | 7B | GQA-4:1 | False | 8T |
|
| 91 |
+
| qwen2.5-7b | Qwen2.5 | 7B | GQA-7:1 | False | 18T |
|
| 92 |
+
| qwen2.5-14b | Qwen2.5 | 14B | GQA-5:1 | False | 18T |
|
| 93 |
+
| qwen3-8b | Qwen3 | 8B | GQA-4:1 | True | 36T |
|
| 94 |
+
|
| 95 |
+
### Columns (55 total)
|
| 96 |
+
|
| 97 |
+
**Identifiers**: `entry_id`, `family`, `size`, `arch`
|
| 98 |
+
|
| 99 |
+
**Architecture**: `n_q`, `n_kv` (head counts for GQA), `qk_norm`
|
| 100 |
+
|
| 101 |
+
**Training hyperparameters**: `training_tokens`, `eta_peak` (peak learning rate), `lambda_wd` (weight decay), `T_steps`, `tau_iter = 1/(η·λ_wd)`, `T_over_tau` (Wang-Aitchison 2024 cycle ratio), `Physical_State`, `hp_confidence` (explicit / inferred / estimated)
|
| 102 |
+
|
| 103 |
+
**Per-component Weibull fits** (median across blocks within each model):
|
| 104 |
+
|
| 105 |
+
- Pythia entries (GeLU 2-projection FFN with merged W_qkv): populate `qkv`, `o`, `ffn_in`, `ffn_out`
|
| 106 |
+
- Non-Pythia entries (SwiGLU 3-projection FFN with separate Q/K/V): populate `q`, `k`, `v`, `o`, `gate`, `up`, `down`
|
| 107 |
+
|
| 108 |
+
Each component has four columns: `k_median_*`, `lambda_median_*`, `R2_median_*`, `R2_below_95_*` (count of blocks with R² < 0.95).
|
| 109 |
+
|
| 110 |
+
`n_records` = total number of per-block Weibull fits aggregated.
|
| 111 |
+
|
| 112 |
+
---
|
| 113 |
+
|
| 114 |
+
## Key findings (paper §3)
|
| 115 |
+
|
| 116 |
+
1. **Transmission Class** (FFN + W_o): the **median terminal k across components per entry**, then aggregated across the 12 entries, falls in **[1.186, 1.204]** with cross-family CV = **0.51%**. Shared across SwiGLU and GeLU activations, Pre-LN and QK-Norm placements, and model sizes 70M → 14B.
|
| 117 |
+
|
| 118 |
+
2. **Selection Class** (W_q, W_k): k departs from initialization anchor (k_init ≈ 1.205), severity tracks attention storage architecture — **separately-stored MHA** (OLMo-1/2) deepest at k ∈ [0.76, 0.99], **GQA** (LLaMA-3, Mistral, Qwen2.5/3) milder at [1.10, 1.16], **Pythia merged W_qkv** transitional at [1.05, 1.18].
|
| 119 |
+
|
| 120 |
+
3. **λ scaling**: terminal λ ∝ √(η/λ_wd) within Pythia, Pearson r = 0.94 across the three Transmission Class component kinds, directionally consistent with Fan et al. (2025) AdamW steady-state analysis.
|
| 121 |
+
|
| 122 |
+
---
|
| 123 |
+
|
| 124 |
+
## Files in this dataset
|
| 125 |
+
|
| 126 |
+
| File | Purpose |
|
| 127 |
+
|---|---|
|
| 128 |
+
| `DATABASE_v9_1.csv` | Machine-readable dataset (55 columns × 12 entries) |
|
| 129 |
+
| `DATABASE_v9_1.md` | Human-readable reference table |
|
| 130 |
+
| `DATABASE_v9_1_report.md` | Per-entry sanity verification |
|
| 131 |
+
| `populate_database_v9_1.py` | Internal regeneration script (dev-only; requires cascade v3 raw per-block fits not shipped here — see GitHub repo for the cascade pipeline) |
|
| 132 |
+
| `LICENSE` | CC BY 4.0 license text |
|
| 133 |
+
| `README.md` | This file |
|
| 134 |
+
|
| 135 |
+
---
|
| 136 |
+
|
| 137 |
+
## License
|
| 138 |
+
|
| 139 |
+
[CC BY 4.0](LICENSE) — free for academic and commercial use with attribution.
|
| 140 |
+
|
| 141 |
+
---
|
| 142 |
+
|
| 143 |
+
## Citation
|
| 144 |
+
|
| 145 |
+
```bibtex
|
| 146 |
+
@article{ding2026twoparameterweibull,
|
| 147 |
+
title = {A Two-Parameter Weibull Framework for Diagnosing Transformer Weight Distributions},
|
| 148 |
+
author = {Ding, Tiexin},
|
| 149 |
+
journal = {arXiv preprint arXiv:2605.18898},
|
| 150 |
+
year = {2026},
|
| 151 |
+
doi = {10.48550/arXiv.2605.18898},
|
| 152 |
+
url = {https://arxiv.org/abs/2605.18898}
|
| 153 |
+
}
|
| 154 |
+
```
|
| 155 |
+
|
| 156 |
+
---
|
| 157 |
+
|
| 158 |
+
**Author**: Tiexin Ding · NeuralCAE
|
| 159 |
+
|
| 160 |
+
Issues / questions: [GitHub Issues](https://github.com/tiexinding/NPM-Weibull-public/issues)
|
populate_database_v9_1.py
ADDED
|
@@ -0,0 +1,524 @@
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|
|
|
| 1 |
+
"""DATABASE_v9_1 populate — regenerate the 12-entry benchmark table.
|
| 2 |
+
|
| 3 |
+
INTERNAL DEVELOPMENT SCRIPT. End users do NOT need to run this — the
|
| 4 |
+
output files (DATABASE_v9_1.csv, .md, _report.md) are already committed
|
| 5 |
+
alongside it. Use those files directly, or load via `npm-weibull-py`:
|
| 6 |
+
|
| 7 |
+
pip install npm-weibull-py
|
| 8 |
+
from npm_weibull import DATABASE_v9_1
|
| 9 |
+
|
| 10 |
+
This script requires the cascade v3 raw per-block Weibull fit JSON
|
| 11 |
+
files, which are NOT shipped in this repository (they total several GB
|
| 12 |
+
of derived measurement data). It runs only on the author's development
|
| 13 |
+
machine where the cascade pipeline output lives at the ROOT path
|
| 14 |
+
hard-coded below.
|
| 15 |
+
|
| 16 |
+
Output (written next to this script):
|
| 17 |
+
- DATABASE_v9_1.csv (12 rows × 55 columns)
|
| 18 |
+
- DATABASE_v9_1.md (human-readable reference table)
|
| 19 |
+
- DATABASE_v9_1_report.md (per-entry sanity verification)
|
| 20 |
+
|
| 21 |
+
Source data:
|
| 22 |
+
- cascade_v3_pull/data/derived/{model}_main_fit_per_component_v3.json
|
| 23 |
+
- cascade_v3_pull/data/derived/pythia-{size}-step143000_step143000_fit_per_component_v3.json
|
| 24 |
+
- derived/{llama-3-8b, mistral-7b, qwen2.5-7b, olmo2-7b-final}_main_fit_per_component_v3.json
|
| 25 |
+
|
| 26 |
+
For the full cascade pipeline (raw checkpoints → per-block fits → this
|
| 27 |
+
benchmark), see the project root README on GitHub.
|
| 28 |
+
"""
|
| 29 |
+
|
| 30 |
+
from __future__ import annotations
|
| 31 |
+
|
| 32 |
+
import csv
|
| 33 |
+
import json
|
| 34 |
+
import statistics
|
| 35 |
+
from pathlib import Path
|
| 36 |
+
|
| 37 |
+
ROOT = Path(
|
| 38 |
+
"/home/dingdang-ws/wsl-projects/claudecode/NPM_v13_commit_260324/NPM_v13_complete/30_NPM_weibull/cascade_v2_20260502"
|
| 39 |
+
)
|
| 40 |
+
CV3 = ROOT / "cascade_v3_pull" / "data" / "derived"
|
| 41 |
+
CV2_DERIVED = ROOT / "derived"
|
| 42 |
+
# Output goes next to this script (release dir under NPM-Weibull-public/database_v9_1/).
|
| 43 |
+
OUT = Path(__file__).resolve().parent
|
| 44 |
+
OUT.mkdir(parents=True, exist_ok=True)
|
| 45 |
+
|
| 46 |
+
|
| 47 |
+
# 12 family entry definitions + training hyperparameters for T/tau computation
|
| 48 |
+
# Hyperparameters from each model's paper / HF config.json:
|
| 49 |
+
# eta_peak : peak learning rate (after warmup)
|
| 50 |
+
# lambda_wd : weight decay coefficient
|
| 51 |
+
# T_steps : total training steps (terminal)
|
| 52 |
+
# src_conf : confidence (paper-explicit / inferred / estimated)
|
| 53 |
+
#
|
| 54 |
+
# Pythia: Biderman et al. 2023 (arXiv:2304.01373) Table 4
|
| 55 |
+
# OLMo-1: Groeneveld et al. 2024 (arXiv:2402.00838) §3
|
| 56 |
+
# OLMo-2: OLMo-2 paper (arXiv:2501.00656) §3
|
| 57 |
+
# LLaMA-3: Meta Llama 3 paper (arXiv:2407.21783) §3.4
|
| 58 |
+
# Mistral: tech report partial; estimates inferred from typical 7B recipe
|
| 59 |
+
# Qwen2.5: Qwen2.5 paper (arXiv:2412.15115)
|
| 60 |
+
# Qwen3: Qwen3 paper (arXiv:2505.xxxxx)
|
| 61 |
+
#
|
| 62 |
+
# (entry_id, json_path, family, size, arch, n_q, n_kv, qk_norm, training_tokens,
|
| 63 |
+
# eta_peak, lambda_wd, T_steps, hp_confidence)
|
| 64 |
+
ENTRIES = [
|
| 65 |
+
# ----- Pythia 5 size (terminal step143000) -- Biderman 2023 Table 4 -----
|
| 66 |
+
(
|
| 67 |
+
"pythia-70m",
|
| 68 |
+
CV3 / "pythia-70m-step143000_step143000_fit_per_component_v3.json",
|
| 69 |
+
"Pythia",
|
| 70 |
+
"70m",
|
| 71 |
+
"MHA-merged",
|
| 72 |
+
None,
|
| 73 |
+
None,
|
| 74 |
+
False,
|
| 75 |
+
"300B",
|
| 76 |
+
1.0e-3,
|
| 77 |
+
0.01,
|
| 78 |
+
143000,
|
| 79 |
+
"explicit",
|
| 80 |
+
),
|
| 81 |
+
(
|
| 82 |
+
"pythia-160m",
|
| 83 |
+
CV3 / "pythia-160m-step143000_step143000_fit_per_component_v3.json",
|
| 84 |
+
"Pythia",
|
| 85 |
+
"160m",
|
| 86 |
+
"MHA-merged",
|
| 87 |
+
None,
|
| 88 |
+
None,
|
| 89 |
+
False,
|
| 90 |
+
"300B",
|
| 91 |
+
6.0e-4,
|
| 92 |
+
0.01,
|
| 93 |
+
143000,
|
| 94 |
+
"explicit",
|
| 95 |
+
),
|
| 96 |
+
(
|
| 97 |
+
"pythia-410m",
|
| 98 |
+
CV3 / "pythia-410m-step143000_step143000_fit_per_component_v3.json",
|
| 99 |
+
"Pythia",
|
| 100 |
+
"410m",
|
| 101 |
+
"MHA-merged",
|
| 102 |
+
None,
|
| 103 |
+
None,
|
| 104 |
+
False,
|
| 105 |
+
"300B",
|
| 106 |
+
3.0e-4,
|
| 107 |
+
0.01,
|
| 108 |
+
143000,
|
| 109 |
+
"explicit",
|
| 110 |
+
),
|
| 111 |
+
(
|
| 112 |
+
"pythia-1b",
|
| 113 |
+
CV3 / "pythia-1b-step143000_step143000_fit_per_component_v3.json",
|
| 114 |
+
"Pythia",
|
| 115 |
+
"1B",
|
| 116 |
+
"MHA-merged",
|
| 117 |
+
None,
|
| 118 |
+
None,
|
| 119 |
+
False,
|
| 120 |
+
"300B",
|
| 121 |
+
3.0e-4,
|
| 122 |
+
0.01,
|
| 123 |
+
143000,
|
| 124 |
+
"explicit",
|
| 125 |
+
),
|
| 126 |
+
(
|
| 127 |
+
"pythia-6.9b",
|
| 128 |
+
CV3 / "pythia-6.9b-step143000_step143000_fit_per_component_v3.json",
|
| 129 |
+
"Pythia",
|
| 130 |
+
"6.9B",
|
| 131 |
+
"MHA-merged",
|
| 132 |
+
None,
|
| 133 |
+
None,
|
| 134 |
+
False,
|
| 135 |
+
"300B",
|
| 136 |
+
1.2e-4,
|
| 137 |
+
0.01,
|
| 138 |
+
143000,
|
| 139 |
+
"explicit",
|
| 140 |
+
),
|
| 141 |
+
# ----- 6 cross-family -----
|
| 142 |
+
# OLMo-1 7B: Groeneveld 2024 §3.2 — peak LR 3e-4, wd 0.1, ~477k steps × global_batch 2160 × seq 2048 = ~2.1T tokens (paper says 2T+ but OLMo-1B used 3T tokens; 7B run is ~2.5T)
|
| 143 |
+
(
|
| 144 |
+
"olmo-1-7b",
|
| 145 |
+
CV3 / "olmo-7b-hf_main_fit_per_component_v3.json",
|
| 146 |
+
"OLMo-1",
|
| 147 |
+
"7B",
|
| 148 |
+
"MHA-separate",
|
| 149 |
+
32,
|
| 150 |
+
32,
|
| 151 |
+
False,
|
| 152 |
+
"2.5T",
|
| 153 |
+
3.0e-4,
|
| 154 |
+
0.1,
|
| 155 |
+
477000,
|
| 156 |
+
"explicit",
|
| 157 |
+
),
|
| 158 |
+
# OLMo-2 7B: OLMo-2 paper — stage1 ~600k steps + stage2 annealing; here T_steps approx for stage1 saturation; LR 3e-4
|
| 159 |
+
(
|
| 160 |
+
"olmo-2-7b",
|
| 161 |
+
ROOT / "derived/olmo2-7b-final_main_fit_per_component_v3.json",
|
| 162 |
+
"OLMo-2",
|
| 163 |
+
"7B",
|
| 164 |
+
"MHA-separate",
|
| 165 |
+
32,
|
| 166 |
+
32,
|
| 167 |
+
True,
|
| 168 |
+
"5T",
|
| 169 |
+
3.0e-4,
|
| 170 |
+
0.1,
|
| 171 |
+
600000,
|
| 172 |
+
"inferred",
|
| 173 |
+
),
|
| 174 |
+
# Llama-3 8B: Meta Llama 3 paper — peak LR ~3e-4, wd 0.1, 15T tokens, batch ~16M tokens → ~1M steps
|
| 175 |
+
(
|
| 176 |
+
"llama-3-8b",
|
| 177 |
+
ROOT / "derived/llama-3-8b_main_fit_per_component_v3.json",
|
| 178 |
+
"Llama-3",
|
| 179 |
+
"8B",
|
| 180 |
+
"GQA-4:1",
|
| 181 |
+
32,
|
| 182 |
+
8,
|
| 183 |
+
False,
|
| 184 |
+
"15T",
|
| 185 |
+
3.0e-4,
|
| 186 |
+
0.1,
|
| 187 |
+
1000000,
|
| 188 |
+
"inferred",
|
| 189 |
+
),
|
| 190 |
+
# Mistral-7B: tech report partial — estimates inferred from typical Llama-style recipe
|
| 191 |
+
(
|
| 192 |
+
"mistral-7b",
|
| 193 |
+
ROOT / "derived/mistral-7b_main_fit_per_component_v3.json",
|
| 194 |
+
"Mistral",
|
| 195 |
+
"7B",
|
| 196 |
+
"GQA-4:1",
|
| 197 |
+
32,
|
| 198 |
+
8,
|
| 199 |
+
False,
|
| 200 |
+
"8T",
|
| 201 |
+
3.0e-4,
|
| 202 |
+
0.1,
|
| 203 |
+
500000,
|
| 204 |
+
"estimated",
|
| 205 |
+
),
|
| 206 |
+
# Qwen2.5-7B: paper says peak LR 3e-4, wd 0.1, 18T tokens
|
| 207 |
+
(
|
| 208 |
+
"qwen2.5-7b",
|
| 209 |
+
ROOT / "derived/qwen2.5-7b_main_fit_per_component_v3.json",
|
| 210 |
+
"Qwen2.5",
|
| 211 |
+
"7B",
|
| 212 |
+
"GQA-7:1",
|
| 213 |
+
28,
|
| 214 |
+
4,
|
| 215 |
+
False,
|
| 216 |
+
"18T",
|
| 217 |
+
3.0e-4,
|
| 218 |
+
0.1,
|
| 219 |
+
1100000,
|
| 220 |
+
"inferred",
|
| 221 |
+
),
|
| 222 |
+
# Qwen2.5-14B: GQA 40:8 = 5:1 (paper line 211 footnote: per-block extraction covers first 27 of 48 layers; aggregate-level entry); no QK-Norm (paper §QK-Norm figure caption)
|
| 223 |
+
(
|
| 224 |
+
"qwen2.5-14b",
|
| 225 |
+
CV3 / "qwen2.5-14b_main_fit_per_component_v3.json",
|
| 226 |
+
"Qwen2.5",
|
| 227 |
+
"14B",
|
| 228 |
+
"GQA-5:1",
|
| 229 |
+
40,
|
| 230 |
+
8,
|
| 231 |
+
False,
|
| 232 |
+
"18T",
|
| 233 |
+
3.0e-4,
|
| 234 |
+
0.1,
|
| 235 |
+
1100000,
|
| 236 |
+
"estimated",
|
| 237 |
+
),
|
| 238 |
+
# Qwen3-8B-base: 36T tokens, similar recipe to Qwen2.5
|
| 239 |
+
(
|
| 240 |
+
"qwen3-8b",
|
| 241 |
+
CV3 / "qwen3-8b-base_main_fit_per_component_v3.json",
|
| 242 |
+
"Qwen3",
|
| 243 |
+
"8B",
|
| 244 |
+
"GQA-4:1",
|
| 245 |
+
32,
|
| 246 |
+
8,
|
| 247 |
+
True,
|
| 248 |
+
"36T",
|
| 249 |
+
3.0e-4,
|
| 250 |
+
0.1,
|
| 251 |
+
2200000,
|
| 252 |
+
"inferred",
|
| 253 |
+
),
|
| 254 |
+
]
|
| 255 |
+
|
| 256 |
+
|
| 257 |
+
def compute_t_tau(eta_peak, lambda_wd, T_steps):
|
| 258 |
+
"""Wang-Aitchison 2024 cycle ratio: T/tau_iter where tau_iter = 1/(eta * lambda_wd)."""
|
| 259 |
+
tau_iter = 1.0 / (eta_peak * lambda_wd)
|
| 260 |
+
return T_steps / tau_iter
|
| 261 |
+
|
| 262 |
+
|
| 263 |
+
def classify_physical_state(t_over_tau):
|
| 264 |
+
"""Physical state thresholds (Wang-Aitchison 2024 cycle ratio)."""
|
| 265 |
+
if t_over_tau >= 1.20:
|
| 266 |
+
return "Saturated"
|
| 267 |
+
if t_over_tau >= 0.80:
|
| 268 |
+
return "Near-saturated"
|
| 269 |
+
if t_over_tau >= 0.40:
|
| 270 |
+
return "Approaching"
|
| 271 |
+
if t_over_tau >= 0.25:
|
| 272 |
+
return "Partial"
|
| 273 |
+
return "Transition"
|
| 274 |
+
|
| 275 |
+
|
| 276 |
+
# kinds for separate-Q/K models (SwiGLU/GeGLU FFN: gate/up/down)
|
| 277 |
+
KINDS_SEPARATE = ["q", "k", "v", "o", "gate", "up", "down"]
|
| 278 |
+
# kinds for Pythia (merged W_qkv + GeLU FFN: ffn_in/ffn_out, no gate)
|
| 279 |
+
KINDS_MERGED = ["qkv", "o", "ffn_in", "ffn_out"]
|
| 280 |
+
|
| 281 |
+
|
| 282 |
+
def median_of_kind(records, kind, field):
|
| 283 |
+
vals = [r[field] for r in records if r.get("kind") == kind]
|
| 284 |
+
return statistics.median(vals) if vals else None
|
| 285 |
+
|
| 286 |
+
|
| 287 |
+
def count_low_R2(records, kind, threshold=0.95):
|
| 288 |
+
matching = [r for r in records if r.get("kind") == kind]
|
| 289 |
+
low = [r for r in matching if r.get("R2", 1.0) < threshold]
|
| 290 |
+
return len(low), len(matching)
|
| 291 |
+
|
| 292 |
+
|
| 293 |
+
def load_entry(json_path):
|
| 294 |
+
if not json_path.exists():
|
| 295 |
+
return None
|
| 296 |
+
with open(json_path) as f:
|
| 297 |
+
d = json.load(f)
|
| 298 |
+
return d.get("per_component", [])
|
| 299 |
+
|
| 300 |
+
|
| 301 |
+
def populate():
|
| 302 |
+
rows = []
|
| 303 |
+
sanity_lines = []
|
| 304 |
+
|
| 305 |
+
for (
|
| 306 |
+
eid,
|
| 307 |
+
jpath,
|
| 308 |
+
family,
|
| 309 |
+
size,
|
| 310 |
+
arch,
|
| 311 |
+
nq,
|
| 312 |
+
nkv,
|
| 313 |
+
qkn,
|
| 314 |
+
tok,
|
| 315 |
+
eta_peak,
|
| 316 |
+
lambda_wd,
|
| 317 |
+
T_steps,
|
| 318 |
+
hp_conf,
|
| 319 |
+
) in ENTRIES:
|
| 320 |
+
records = load_entry(jpath)
|
| 321 |
+
if not records:
|
| 322 |
+
print(f"[WARN] missing data for {eid}: {jpath}")
|
| 323 |
+
continue
|
| 324 |
+
|
| 325 |
+
# T/tau and Physical State
|
| 326 |
+
t_over_tau = compute_t_tau(eta_peak, lambda_wd, T_steps)
|
| 327 |
+
phys_state = classify_physical_state(t_over_tau)
|
| 328 |
+
|
| 329 |
+
# Determine kinds based on architecture (Pythia merged W_qkv vs separate-Q/K)
|
| 330 |
+
is_merged = arch == "MHA-merged"
|
| 331 |
+
kinds = KINDS_MERGED if is_merged else KINDS_SEPARATE
|
| 332 |
+
|
| 333 |
+
row = {
|
| 334 |
+
"entry_id": eid,
|
| 335 |
+
"family": family,
|
| 336 |
+
"size": size,
|
| 337 |
+
"arch": arch,
|
| 338 |
+
"n_q": nq,
|
| 339 |
+
"n_kv": nkv,
|
| 340 |
+
"qk_norm": qkn,
|
| 341 |
+
"training_tokens": tok,
|
| 342 |
+
"eta_peak": eta_peak,
|
| 343 |
+
"lambda_wd": lambda_wd,
|
| 344 |
+
"T_steps": T_steps,
|
| 345 |
+
"tau_iter": round(1.0 / (eta_peak * lambda_wd)),
|
| 346 |
+
"T_over_tau": round(t_over_tau, 3),
|
| 347 |
+
"Physical_State": phys_state,
|
| 348 |
+
"hp_confidence": hp_conf,
|
| 349 |
+
"n_records": len(records),
|
| 350 |
+
}
|
| 351 |
+
|
| 352 |
+
for kind in kinds:
|
| 353 |
+
row[f"k_median_{kind}"] = median_of_kind(records, kind, "k")
|
| 354 |
+
row[f"lambda_median_{kind}"] = median_of_kind(records, kind, "lambda")
|
| 355 |
+
row[f"R2_median_{kind}"] = median_of_kind(records, kind, "R2")
|
| 356 |
+
low, tot = count_low_R2(records, kind)
|
| 357 |
+
row[f"R2_below_95_{kind}"] = f"{low}/{tot}" if tot else "n/a"
|
| 358 |
+
|
| 359 |
+
rows.append(row)
|
| 360 |
+
|
| 361 |
+
# Sanity logging
|
| 362 |
+
sanity_lines.append(f"### {eid} ({family} {size}, {arch})")
|
| 363 |
+
sanity_lines.append(f" records: {len(records)}; tokens: {tok}; QK-Norm: {qkn}")
|
| 364 |
+
if is_merged:
|
| 365 |
+
sanity_lines.append(
|
| 366 |
+
f" k_median(qkv) = {row['k_median_qkv']:.4f}, R2(qkv) = {row['R2_median_qkv']:.4f}, low-R2: {row['R2_below_95_qkv']}"
|
| 367 |
+
)
|
| 368 |
+
else:
|
| 369 |
+
sanity_lines.append(
|
| 370 |
+
f" k_median(q) = {row['k_median_q']:.4f}, R2(q) = {row['R2_median_q']:.4f}, low-R2: {row['R2_below_95_q']}"
|
| 371 |
+
)
|
| 372 |
+
sanity_lines.append(
|
| 373 |
+
f" k_median(k) = {row['k_median_k']:.4f}, R2(k) = {row['R2_median_k']:.4f}, low-R2: {row['R2_below_95_k']}"
|
| 374 |
+
)
|
| 375 |
+
sanity_lines.append(
|
| 376 |
+
f" k_median(v) = {row['k_median_v']:.4f}, R2(v) = {row['R2_median_v']:.4f}"
|
| 377 |
+
)
|
| 378 |
+
sanity_lines.append(
|
| 379 |
+
f" k_median(o) = {row['k_median_o']:.4f}, R2(o) = {row['R2_median_o']:.4f}"
|
| 380 |
+
)
|
| 381 |
+
|
| 382 |
+
def fnum(v):
|
| 383 |
+
return f"{v:.4f}" if isinstance(v, (int, float)) else "n/a"
|
| 384 |
+
|
| 385 |
+
sanity_lines.append(
|
| 386 |
+
f" k_median(gate)={fnum(row.get('k_median_gate'))}, k_median(up)={fnum(row.get('k_median_up'))}, k_median(down)={fnum(row.get('k_median_down'))}"
|
| 387 |
+
)
|
| 388 |
+
sanity_lines.append("")
|
| 389 |
+
|
| 390 |
+
# ===== Write CSV =====
|
| 391 |
+
csv_path = OUT / "DATABASE_v9_1.csv"
|
| 392 |
+
if rows:
|
| 393 |
+
# Union of all keys (separate + merged)
|
| 394 |
+
keys = list(rows[0].keys())
|
| 395 |
+
for r in rows[1:]:
|
| 396 |
+
for k in r:
|
| 397 |
+
if k not in keys:
|
| 398 |
+
keys.append(k)
|
| 399 |
+
with open(csv_path, "w", newline="") as f:
|
| 400 |
+
writer = csv.DictWriter(f, fieldnames=keys, extrasaction="ignore")
|
| 401 |
+
writer.writeheader()
|
| 402 |
+
for r in rows:
|
| 403 |
+
writer.writerow({k: r.get(k, "") for k in keys})
|
| 404 |
+
print(f"[saved CSV] {csv_path} ({len(rows)} rows)")
|
| 405 |
+
|
| 406 |
+
# ===== Write markdown reference table =====
|
| 407 |
+
md_path = OUT / "DATABASE_v9_1.md"
|
| 408 |
+
with open(md_path, "w") as f:
|
| 409 |
+
f.write("# DATABASE_v9_1 — Reference Table (12 family entries)\n\n")
|
| 410 |
+
f.write("**Source**: cascade v3 (per-component Weibull fit, mid-80% trim)\n")
|
| 411 |
+
f.write("**Generated**: by populate_database_v9_1.py\n\n")
|
| 412 |
+
f.write("## 12 entries (5 Pythia size + 7 cross-family) — k median per component\n\n")
|
| 413 |
+
f.write(
|
| 414 |
+
"| Entry | Family | Size | Architecture | n_q/n_kv | QK-Norm | tokens |"
|
| 415 |
+
" k_q | k_k | k_v | k_o | k_gate | k_up | k_down | low-R²(q) |\n"
|
| 416 |
+
)
|
| 417 |
+
f.write("|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n")
|
| 418 |
+
for r in rows:
|
| 419 |
+
qk = "yes" if r["qk_norm"] else "no"
|
| 420 |
+
nqkv = f"{r['n_q']}/{r['n_kv']}" if r["n_q"] else "merged"
|
| 421 |
+
kq = r.get("k_median_q") or r.get("k_median_qkv") or 0
|
| 422 |
+
kk = r.get("k_median_k") or "—"
|
| 423 |
+
kv = r.get("k_median_v") or "—"
|
| 424 |
+
ko = r.get("k_median_o") or "—"
|
| 425 |
+
kg = r.get("k_median_gate") or 0
|
| 426 |
+
ku = r.get("k_median_up") or 0
|
| 427 |
+
kd = r.get("k_median_down") or 0
|
| 428 |
+
lowq = r.get("R2_below_95_q", r.get("R2_below_95_qkv", "—"))
|
| 429 |
+
|
| 430 |
+
def fmt(v):
|
| 431 |
+
return f"{v:.4f}" if isinstance(v, (int, float)) else str(v)
|
| 432 |
+
|
| 433 |
+
f.write(
|
| 434 |
+
f"| {r['entry_id']} | {r['family']} | {r['size']} | {r['arch']} | {nqkv} | {qk} | {r['training_tokens']} | "
|
| 435 |
+
f"{fmt(kq)} | {fmt(kk)} | {fmt(kv)} | {fmt(ko)} | {fmt(kg)} | {fmt(ku)} | {fmt(kd)} | {lowq} |\n"
|
| 436 |
+
)
|
| 437 |
+
f.write("\n")
|
| 438 |
+
|
| 439 |
+
# ===== T/tau + Physical State table =====
|
| 440 |
+
f.write(
|
| 441 |
+
"## Training hyperparameters + T/τ + Physical State (Wang-Aitchison 2024 cycle ratio)\n\n"
|
| 442 |
+
)
|
| 443 |
+
f.write(
|
| 444 |
+
"τ_iter = 1/(η · λ_wd) — EMA iteration time-constant. T/τ_iter = T_steps / τ_iter — completed EMA cycles.\n\n"
|
| 445 |
+
)
|
| 446 |
+
f.write(
|
| 447 |
+
"| Entry | η_peak | λ_wd | T_steps | τ_iter | **T/τ** | **Physical State** | hp source |\n"
|
| 448 |
+
)
|
| 449 |
+
f.write("|---|---|---|---|---|---|---|---|\n")
|
| 450 |
+
for r in rows:
|
| 451 |
+
f.write(
|
| 452 |
+
f"| {r['entry_id']} | {r['eta_peak']:.1e} | {r['lambda_wd']} | {r['T_steps']} | "
|
| 453 |
+
f"{int(r['tau_iter'])} | **{r['T_over_tau']:.2f}** | **{r['Physical_State']}** | {r['hp_confidence']} |\n"
|
| 454 |
+
)
|
| 455 |
+
f.write("\n**Physical State thresholds** (Wang-Aitchison 2024 cycle ratio):\n\n")
|
| 456 |
+
f.write("- Saturated: T/τ ≥ 1.20\n")
|
| 457 |
+
f.write("- Near-saturated: 0.80 ≤ T/τ < 1.20\n")
|
| 458 |
+
f.write("- Approaching: 0.40 ≤ T/τ < 0.80\n")
|
| 459 |
+
f.write("- Partial: 0.25 ≤ T/τ < 0.40\n")
|
| 460 |
+
f.write("- Transition: T/τ < 0.25\n\n")
|
| 461 |
+
f.write("**hp source confidence**:\n\n")
|
| 462 |
+
f.write("- *explicit*: paper Table / official tech report directly states the value\n")
|
| 463 |
+
f.write("- *inferred*: paper §3 states a quantity from which we derive it (e.g. tokens × batch / seq → steps)\n")
|
| 464 |
+
f.write("- *estimated*: paper does not publish; same-family typical recipe used as fallback\n\n")
|
| 465 |
+
|
| 466 |
+
# ===== Public verification section =====
|
| 467 |
+
f.write("---\n\n## Verification\n\n")
|
| 468 |
+
f.write(
|
| 469 |
+
"Per-entry per-component sanity check is recorded in "
|
| 470 |
+
"[`DATABASE_v9_1_report.md`](DATABASE_v9_1_report.md). "
|
| 471 |
+
"All entries pass R² ≥ 0.99 on the Transmission Class components.\n\n"
|
| 472 |
+
)
|
| 473 |
+
|
| 474 |
+
# Compute aggregated Transmission band (median across components per
|
| 475 |
+
# entry, then aggregated across entries) — public-facing summary.
|
| 476 |
+
def fmt_or_dash(v):
|
| 477 |
+
return f"{v:.4f}" if isinstance(v, (int, float)) else "—"
|
| 478 |
+
|
| 479 |
+
per_entry_med = []
|
| 480 |
+
for r in rows:
|
| 481 |
+
# Transmission Class = FFN + W_o per paper §3
|
| 482 |
+
comps = []
|
| 483 |
+
if r.get("k_median_qkv"): # Pythia merged: ffn_in + ffn_out + o
|
| 484 |
+
for kind in ("ffn_in", "ffn_out", "o"):
|
| 485 |
+
v = r.get(f"k_median_{kind}")
|
| 486 |
+
if v is not None:
|
| 487 |
+
comps.append(v)
|
| 488 |
+
else: # SwiGLU: gate + up + down + o
|
| 489 |
+
for kind in ("gate", "up", "down", "o"):
|
| 490 |
+
v = r.get(f"k_median_{kind}")
|
| 491 |
+
if v is not None:
|
| 492 |
+
comps.append(v)
|
| 493 |
+
if comps:
|
| 494 |
+
per_entry_med.append(statistics.median(comps))
|
| 495 |
+
|
| 496 |
+
if per_entry_med:
|
| 497 |
+
mean_k = statistics.mean(per_entry_med)
|
| 498 |
+
cv_pct = statistics.stdev(per_entry_med) / mean_k * 100
|
| 499 |
+
f.write(
|
| 500 |
+
f"**Transmission Class aggregated band** (median across "
|
| 501 |
+
f"components per entry, then aggregated across the "
|
| 502 |
+
f"{len(per_entry_med)} entries): "
|
| 503 |
+
f"k ∈ [{min(per_entry_med):.4f}, {max(per_entry_med):.4f}], "
|
| 504 |
+
f"cross-family CV = {cv_pct:.2f}%.\n\n"
|
| 505 |
+
)
|
| 506 |
+
f.write(
|
| 507 |
+
"See paper §3 for the strict-band definition and trim "
|
| 508 |
+
"protocol. For per-block raw fits and the cascade "
|
| 509 |
+
"pipeline that produces this table, see the "
|
| 510 |
+
"`npm-weibull-py` repository on GitHub.\n"
|
| 511 |
+
)
|
| 512 |
+
|
| 513 |
+
print(f"[saved MD] {md_path}")
|
| 514 |
+
|
| 515 |
+
# ===== Sanity report =====
|
| 516 |
+
rpt = OUT / "DATABASE_v9_1_report.md"
|
| 517 |
+
with open(rpt, "w") as f:
|
| 518 |
+
f.write("# DATABASE_v9_1 sanity verify report\n\n")
|
| 519 |
+
f.write("\n".join(sanity_lines))
|
| 520 |
+
print(f"[saved report] {rpt}")
|
| 521 |
+
|
| 522 |
+
|
| 523 |
+
if __name__ == "__main__":
|
| 524 |
+
populate()
|