Commit ·
0f58f0d
1
Parent(s): db07345
Add sesion 32 paper-2 strengthening records (+21, total 79)
Browse files- Pythia-70M ν trajectory (9 ckpts × 2 corpora = 18 records)
honest null: within-model trajectory does not converge to -1/(2π)
- Yi-9B random_tokens (n=30) — 9B class gap filled
- Pythia-31m high-n robustness (n=60 mongo + n=60 random)
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
- README.md +10 -3
- summary.csv +21 -0
- taf-attention-decay.jsonl +21 -0
README.md
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@@ -49,11 +49,14 @@ where θ is the RoPE base frequency and T is the evaluation context length.
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## Coverage
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- **
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-
- **
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- **2 corpora**: real text (`real_text`, MongoDB English episodes) + random tokens (`random_tokens`)
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- **2 precisions**: 4-bit NF4 (BitsAndBytes) + bfloat16
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- **Includes random-init controls** (E2 falsifier on Pythia 70M/410M/1B with random Gaussian init, no pretraining) — establishes that the slope ν = ∂γ/∂log₁₀(P) ≈ −1/(2π) is genuinely a *training imprint*, not architecture artifact.
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## Schema
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- **Raw attention tensors** (TB-scale, redundant with model weights)
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- **Per-layer per-head γ-fields** (separate dataset planned)
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- **Training-trajectory γ over checkpoints** (
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- **Downstream task scores** (use RULER, LongBench-v2, HELM separately)
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## License
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@@ -186,6 +189,10 @@ GitHub repo — refutations are welcome.
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- 2026-04-29: Initial release (58 records, 32 models, 2 corpora, 2 precisions)
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- 2026-04-30: Added `analysis/games/game_O_results.json` + `game_P_results.json`
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(hyperscaling identities + recursive derivations)
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- 2026-05-01: ★ **TAF v0.5 machine-verified consistency** — 15 algebraic identities
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of TAF critical exponents formally proven via dual-tool approach:
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- **Sage Groebner basis** (algebraic decision in PolynomialRing(ℚ))
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## Coverage
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- **33 models** across 13 families (Pythia, Qwen, Llama, Mistral, Gemma, Phi, OLMo, OLMoE, DeepSeek, StarCoder2, CodeLlama, GPT-J, SmolLM2, Falcon, Yi)
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- **79 records** total
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- **2 corpora**: real text (`real_text`, MongoDB English episodes) + random tokens (`random_tokens`)
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- **2 precisions**: 4-bit NF4 (BitsAndBytes) + bfloat16
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- **Includes random-init controls** (E2 falsifier on Pythia 70M/410M/1B with random Gaussian init, no pretraining) — establishes that the slope ν = ∂γ/∂log₁₀(P) ≈ −1/(2π) is genuinely a *training imprint*, not architecture artifact.
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- **Pythia-70M training trajectory** (9 checkpoints × 2 corpora = 18 records, sesion 32) — within-model γ across `step1000` → `step143000`. **Honest null result**: trajectory does NOT converge to ν = −1/(2π); imprint constant emerges across-models, not within-model.
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- **Pythia-31m high-n robustness** (n=60 prompts × 2 corpora = 2 records) — tightens CI on smallest pythia anchor.
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- **Yi-9B random_tokens** (n=30) — fills 9B class gap in family panel.
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## Schema
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- **Raw attention tensors** (TB-scale, redundant with model weights)
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- **Per-layer per-head γ-fields** (separate dataset planned)
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- **Training-trajectory γ over checkpoints** (Pythia-70M trajectory now INCLUDED as of sesion 32; broader panel still planned)
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- **Downstream task scores** (use RULER, LongBench-v2, HELM separately)
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## License
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- 2026-04-29: Initial release (58 records, 32 models, 2 corpora, 2 precisions)
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- 2026-04-30: Added `analysis/games/game_O_results.json` + `game_P_results.json`
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(hyperscaling identities + recursive derivations)
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- 2026-05-01: ★ **Sesion 32 paper 2 strengthening** — +21 records (79 total):
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- Pythia-70M ν trajectory (9 ckpts × 2 corpora = 18) — within-model null documented
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- Yi-9B random_tokens (1) — 9B class gap filled
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- Pythia-31m high-n robustness (2, n=60 each) — tightened CI on smallest anchor
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- 2026-05-01: ★ **TAF v0.5 machine-verified consistency** — 15 algebraic identities
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of TAF critical exponents formally proven via dual-tool approach:
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- **Sage Groebner basis** (algebraic decision in PolynomialRing(ℚ))
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summary.csv
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@@ -57,3 +57,24 @@ Qwen/Qwen2.5-Coder-7B,qwen-coder,real_text,4-bit-NF4,0.9454,0.9547084761104221,7
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EleutherAI/pythia-1b,pythia,random_tokens,fp16,0.6818,,1000,10000,2048,False,False
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EleutherAI/pythia-410m,pythia,random_tokens,fp16,0.6845,,410,10000,2048,False,False
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EleutherAI/pythia-70m,pythia,random_tokens,fp16,0.6846,,70,10000,2048,False,False
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EleutherAI/pythia-1b,pythia,random_tokens,fp16,0.6818,,1000,10000,2048,False,False
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EleutherAI/pythia-410m,pythia,random_tokens,fp16,0.6845,,410,10000,2048,False,False
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EleutherAI/pythia-70m,pythia,random_tokens,fp16,0.6846,,70,10000,2048,False,False
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EleutherAI/pythia-31m,pythia,real_text,auto,1.0110361167221762,0.99999561666838,31,10000,2048,False,False
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EleutherAI/pythia-31m,pythia,random_tokens,auto,1.5450115522836714,0.99999561666838,31,10000,2048,False,False
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01-ai/Yi-9B,yi,random_tokens,auto,1.0608729832204116,,9000,5000000,4096,False,False
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EleutherAI/pythia-70m-deduped@step1000,pythia,real_text,auto,1.1292477525397862,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step1000,pythia,random_tokens,auto,1.0790853925598143,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step2000,pythia,real_text,auto,1.2389542356917203,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step2000,pythia,random_tokens,auto,1.1287893216072091,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step5000,pythia,real_text,auto,1.259578109732732,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step5000,pythia,random_tokens,auto,1.3075968596454313,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step10000,pythia,real_text,auto,1.2494402035559864,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step10000,pythia,random_tokens,auto,1.2512259968411465,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step20000,pythia,real_text,auto,1.24348361085288,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step20000,pythia,random_tokens,auto,1.2448392596274824,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step40000,pythia,real_text,auto,1.3158082124956427,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step40000,pythia,random_tokens,auto,1.2107643823126109,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step65000,pythia,real_text,auto,1.3110320441749503,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step65000,pythia,random_tokens,auto,1.2584672405293242,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step100000,pythia,real_text,auto,1.32261751836488,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step100000,pythia,random_tokens,auto,1.2204931999100648,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step143000,pythia,real_text,auto,1.2493746664709637,,70,10000,2048,False,False
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EleutherAI/pythia-70m-deduped@step143000,pythia,random_tokens,auto,1.2023289680609859,,70,10000,2048,False,False
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taf-attention-decay.jsonl
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{"model_id": "EleutherAI/pythia-1b", "revision": "random-init-seed42", "arch": {"d_model": 2048, "n_heads": 8, "n_layers": 16, "d_head": 256, "n_kv_heads": 8, "n_params_M": 1000, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 0.6818490427805074, "gamma_ci95_lo": 0.5604049003213023, "gamma_ci95_hi": 0.8032931852397125, "method": "pade_d_alias_T", "fit": {"R2": 0.9527921778371977}, "T_eval": 2048, "corpus": "random_tokens", "n_prompts_per_distance": 100, "precision": "fp16"}, "predictions": {"note": "random-init falsifier (E2): predicts ν=0 if F1 mechanism is training-imprint"}, "decision": "F1 CONFIRMED (training-imprint mechanism)", "provenance": {"taf_version": "0.4", "experiment": "E2_imprint_init_falsifier", "source_file": "EleutherAI--pythia-1b_init.json", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0"}}
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{"model_id": "EleutherAI/pythia-410m", "revision": "random-init-seed42", "arch": {"d_model": 1024, "n_heads": 16, "n_layers": 24, "d_head": 64, "n_kv_heads": 16, "n_params_M": 410, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 0.6845471503266192, "gamma_ci95_lo": 0.5625861150445415, "gamma_ci95_hi": 0.8065081856086969, "method": "pade_d_alias_T", "fit": {"R2": 0.9527653674927113}, "T_eval": 2048, "corpus": "random_tokens", "n_prompts_per_distance": 100, "precision": "fp16"}, "predictions": {"note": "random-init falsifier (E2): predicts ν=0 if F1 mechanism is training-imprint"}, "decision": "F1 CONFIRMED (training-imprint mechanism)", "provenance": {"taf_version": "0.4", "experiment": "E2_imprint_init_falsifier", "source_file": "EleutherAI--pythia-410m_init.json", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0"}}
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{"model_id": "EleutherAI/pythia-70m", "revision": "random-init-seed42", "arch": {"d_model": 512, "n_heads": 8, "n_layers": 6, "d_head": 64, "n_kv_heads": 8, "n_params_M": 70, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 0.6845950557028538, "gamma_ci95_lo": 0.5620692021162929, "gamma_ci95_hi": 0.8071209092894148, "method": "pade_d_alias_T", "fit": {"R2": 0.9523541015048161}, "T_eval": 2048, "corpus": "random_tokens", "n_prompts_per_distance": 100, "precision": "fp16"}, "predictions": {"note": "random-init falsifier (E2): predicts ν=0 if F1 mechanism is training-imprint"}, "decision": "F1 CONFIRMED (training-imprint mechanism)", "provenance": {"taf_version": "0.4", "experiment": "E2_imprint_init_falsifier", "source_file": "EleutherAI--pythia-70m_init.json", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0"}}
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{"model_id": "EleutherAI/pythia-1b", "revision": "random-init-seed42", "arch": {"d_model": 2048, "n_heads": 8, "n_layers": 16, "d_head": 256, "n_kv_heads": 8, "n_params_M": 1000, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 0.6818490427805074, "gamma_ci95_lo": 0.5604049003213023, "gamma_ci95_hi": 0.8032931852397125, "method": "pade_d_alias_T", "fit": {"R2": 0.9527921778371977}, "T_eval": 2048, "corpus": "random_tokens", "n_prompts_per_distance": 100, "precision": "fp16"}, "predictions": {"note": "random-init falsifier (E2): predicts ν=0 if F1 mechanism is training-imprint"}, "decision": "F1 CONFIRMED (training-imprint mechanism)", "provenance": {"taf_version": "0.4", "experiment": "E2_imprint_init_falsifier", "source_file": "EleutherAI--pythia-1b_init.json", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0"}}
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{"model_id": "EleutherAI/pythia-410m", "revision": "random-init-seed42", "arch": {"d_model": 1024, "n_heads": 16, "n_layers": 24, "d_head": 64, "n_kv_heads": 16, "n_params_M": 410, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 0.6845471503266192, "gamma_ci95_lo": 0.5625861150445415, "gamma_ci95_hi": 0.8065081856086969, "method": "pade_d_alias_T", "fit": {"R2": 0.9527653674927113}, "T_eval": 2048, "corpus": "random_tokens", "n_prompts_per_distance": 100, "precision": "fp16"}, "predictions": {"note": "random-init falsifier (E2): predicts ν=0 if F1 mechanism is training-imprint"}, "decision": "F1 CONFIRMED (training-imprint mechanism)", "provenance": {"taf_version": "0.4", "experiment": "E2_imprint_init_falsifier", "source_file": "EleutherAI--pythia-410m_init.json", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0"}}
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{"model_id": "EleutherAI/pythia-70m", "revision": "random-init-seed42", "arch": {"d_model": 512, "n_heads": 8, "n_layers": 6, "d_head": 64, "n_kv_heads": 8, "n_params_M": 70, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 0.6845950557028538, "gamma_ci95_lo": 0.5620692021162929, "gamma_ci95_hi": 0.8071209092894148, "method": "pade_d_alias_T", "fit": {"R2": 0.9523541015048161}, "T_eval": 2048, "corpus": "random_tokens", "n_prompts_per_distance": 100, "precision": "fp16"}, "predictions": {"note": "random-init falsifier (E2): predicts ν=0 if F1 mechanism is training-imprint"}, "decision": "F1 CONFIRMED (training-imprint mechanism)", "provenance": {"taf_version": "0.4", "experiment": "E2_imprint_init_falsifier", "source_file": "EleutherAI--pythia-70m_init.json", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0"}}
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{"model_id": "EleutherAI/pythia-31m", "revision": "main", "arch": {"d_model": 256, "n_heads": 4, "n_layers": 6, "d_head": 64, "n_kv_heads": 4, "n_params_M": 31, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 1.0110361167221762, "gamma_ci95_lo": 0.7204541110410775, "gamma_ci95_hi": 1.392663572169019, "method": "pade_d_alias_T", "fit": {"log_A": -1.7844995148362943, "R2": 0.879471, "n_points": 7, "delta_R2_power_minus_exp": 0.3602}, "T_eval": 2048, "corpus": "real_text", "n_prompts_per_distance": 60, "seeds": [42, 123, 7], "distances": [10, 20, 30, 50, 100, 200, 500, 1000, 2000], "device": "cuda", "dtype": "auto"}, "framework_prediction": {"gamma_pade": 0.99999561666838, "gamma_random_pred": null, "imprint_constant_nu": -0.1592}, "decision": "CONFIRMED: γ law holds (γ×ln(θ) = C)", "provenance": {"taf_version": "0.5", "paper_doi": "10.5281/zenodo.19826343", "source_file": "EleutherAI--pythia-31m_mongo.json", "tool": "tafagent/cli/diagnose_model.py + e4_extended_gamma.py", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0", "session": "32 (2026-05-01) — paper 2 strengthening"}}
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{"model_id": "EleutherAI/pythia-31m", "revision": "main", "arch": {"d_model": 256, "n_heads": 4, "n_layers": 6, "d_head": 64, "n_kv_heads": 4, "n_params_M": 31, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 1.5450115522836714, "gamma_ci95_lo": 1.151215335615751, "gamma_ci95_hi": 1.7644064236370867, "method": "pade_d_alias_T", "fit": {"log_A": 0.2663580390060624, "R2": 0.966846, "n_points": 7, "delta_R2_power_minus_exp": 0.0973}, "T_eval": 2048, "corpus": "random_tokens", "n_prompts_per_distance": 60, "seeds": [42, 123, 7], "distances": [10, 20, 30, 50, 100, 200, 500, 1000, 2000], "device": "cuda", "dtype": "auto"}, "framework_prediction": {"gamma_pade": 0.99999561666838, "gamma_random_pred": null, "imprint_constant_nu": -0.1592}, "decision": "ANOMALY: long-context training effect", "provenance": {"taf_version": "0.5", "paper_doi": "10.5281/zenodo.19826343", "source_file": "EleutherAI--pythia-31m_random.json", "tool": "tafagent/cli/diagnose_model.py + e4_extended_gamma.py", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0", "session": "32 (2026-05-01) — paper 2 strengthening"}}
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{"model_id": "01-ai/Yi-9B", "revision": "main", "arch": {"d_model": 4096, "n_heads": 32, "n_layers": 48, "d_head": 128, "n_kv_heads": 4, "n_params_M": 9000, "rope_theta": 5000000, "T_train": 4096, "family": "yi", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 1.0608729832204116, "gamma_ci95_lo": 0.9164854642853202, "gamma_ci95_hi": 1.1751419131536853, "method": "pade_d_alias_T", "fit": {"log_A": -1.680130627799741, "R2": 0.988358, "n_points": 7, "delta_R2_power_minus_exp": 0.1638}, "T_eval": 4096, "corpus": "random_tokens", "n_prompts_per_distance": 30, "seeds": [42, 123, 7], "distances": [10, 20, 30, 50, 100, 200, 500, 1000, 2000], "device": "cuda", "dtype": "auto"}, "framework_prediction": {"gamma_pade": null, "gamma_random_pred": null, "imprint_constant_nu": -0.1592}, "decision": "unknown", "provenance": {"taf_version": "0.5", "paper_doi": "10.5281/zenodo.19826343", "source_file": "01-ai--Yi-9B_random.json", "tool": "tafagent/cli/diagnose_model.py + e4_extended_gamma.py", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0", "session": "32 (2026-05-01) — paper 2 strengthening"}}
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{"model_id": "EleutherAI/pythia-70m-deduped", "revision": "step1000", "arch": {"d_model": 512, "n_heads": 8, "n_layers": 6, "d_head": 64, "n_kv_heads": 8, "n_params_M": 70, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 1.1292477525397862, "gamma_ci95_lo": 1.0315555906714828, "gamma_ci95_hi": 1.216214657750404, "method": "pade_d_alias_T", "fit": {"log_A": -0.6033750860926805, "R2": 0.997384, "n_points": 5, "delta_R2_power_minus_exp": 0.122}, "T_eval": 2048, "corpus": "real_text", "n_prompts_per_distance": 30, "seeds": [42, 123, 7], "distances": [10, 50, 100, 250, 500, 1000], "device": "cuda", "dtype": "auto"}, "framework_prediction": {"gamma_pade": null, "gamma_random_pred": null, "imprint_constant_nu": -0.1592}, "decision": "unknown", "provenance": {"taf_version": "0.5", "paper_doi": "10.5281/zenodo.19826343", "source_file": "EleutherAI--pythia-70m-deduped_mongo_step1000.json", "tool": "tafagent/cli/diagnose_model.py + e4_extended_gamma.py", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0", "session": "32 (2026-05-01) — paper 2 strengthening"}}
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{"model_id": "EleutherAI/pythia-70m-deduped", "revision": "step143000", "arch": {"d_model": 512, "n_heads": 8, "n_layers": 6, "d_head": 64, "n_kv_heads": 8, "n_params_M": 70, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 1.2493746664709637, "gamma_ci95_lo": 0.9036724881431525, "gamma_ci95_hi": 1.5802558154712143, "method": "pade_d_alias_T", "fit": {"log_A": -0.7806191250583789, "R2": 0.971774, "n_points": 5, "delta_R2_power_minus_exp": 0.1713}, "T_eval": 2048, "corpus": "real_text", "n_prompts_per_distance": 30, "seeds": [42, 123, 7], "distances": [10, 50, 100, 250, 500, 1000], "device": "cuda", "dtype": "auto"}, "framework_prediction": {"gamma_pade": null, "gamma_random_pred": null, "imprint_constant_nu": -0.1592}, "decision": "unknown", "provenance": {"taf_version": "0.5", "paper_doi": "10.5281/zenodo.19826343", "source_file": "EleutherAI--pythia-70m-deduped_mongo_step143000.json", "tool": "tafagent/cli/diagnose_model.py + e4_extended_gamma.py", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0", "session": "32 (2026-05-01) — paper 2 strengthening"}}
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| 79 |
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{"model_id": "EleutherAI/pythia-70m-deduped", "revision": "step143000", "arch": {"d_model": 512, "n_heads": 8, "n_layers": 6, "d_head": 64, "n_kv_heads": 8, "n_params_M": 70, "rope_theta": 10000, "T_train": 2048, "family": "pythia", "is_instruct": false, "is_moe": false}, "measurement": {"gamma": 1.2023289680609859, "gamma_ci95_lo": 0.9651031952002092, "gamma_ci95_hi": 1.4205245025802689, "method": "pade_d_alias_T", "fit": {"log_A": -0.9227782529370149, "R2": 0.986676, "n_points": 5, "delta_R2_power_minus_exp": 0.0937}, "T_eval": 2048, "corpus": "random_tokens", "n_prompts_per_distance": 30, "seeds": [42, 123, 7], "distances": [10, 50, 100, 250, 500, 1000], "device": "cuda", "dtype": "auto"}, "framework_prediction": {"gamma_pade": null, "gamma_random_pred": null, "imprint_constant_nu": -0.1592}, "decision": "unknown", "provenance": {"taf_version": "0.5", "paper_doi": "10.5281/zenodo.19826343", "source_file": "EleutherAI--pythia-70m-deduped_random_step143000.json", "tool": "tafagent/cli/diagnose_model.py + e4_extended_gamma.py", "license_data": "CC-BY-4.0", "license_code": "Apache-2.0", "session": "32 (2026-05-01) — paper 2 strengthening"}}
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