| { |
| "beta": 1.7078669320377402, |
| "blocks": 4096, |
| "occurrence_mass": 1.0, |
| "conditional_entropy_nats": 3.571402339066459, |
| "pair_marginal_l1": 6.570043718501445e-09, |
| "reference": { |
| "vocab": 4096, |
| "original_source": { |
| "identity": { |
| "fit_report_sha256": "7dafa8fe382295e77ce4ed32683ebe56ce83f0b9d25beed2a4410ee7d73c258e", |
| "token_sha256": "f4ec26137d7487429f68a6e977d8386479f205001a6ec7c424bb90f21e6869c9", |
| "suffix_sha256": "b3487d310803cd504260137665a1db1361c0d5c0b24e747747a2673dc2e266f2", |
| "reconstruction": "merged fourgram prefix counts plus final triples; circular reverse histories v2" |
| }, |
| "entropy": 3.5714023585974424, |
| "reference_entropy": 3.571402358583158, |
| "observed_pairs": 5910900, |
| "occurrences": 1999999998, |
| "history_boundary_triples": 2, |
| "source_token_count": 2000000000, |
| "entropy_difference_from_archive": 1.4284573524037114e-11, |
| "note": "Target counts reconstructed from the available 2B natural stream prefix. Matching supported-pair count and near-matching entropy are consistency checks, not proof of byte-identical original source counts. Reverse histories add two wraparound triples to make empirical pair weights exactly stationary." |
| }, |
| "reference_sha256": "535c57b1e3ef35730e26c68987d44cf48df8a5f383387061337dbc7f841ef765", |
| "observed_trigrams": 132810622, |
| "observed_contexts": 5910900, |
| "occurrences": 2000000002, |
| "added_supported_triples": [ |
| [ |
| 480, |
| 2879, |
| 294 |
| ], |
| [ |
| 2879, |
| 294, |
| 2 |
| ], |
| [ |
| 294, |
| 2, |
| 1 |
| ], |
| [ |
| 2, |
| 1, |
| 1465 |
| ] |
| ], |
| "support_matches_original_empirical": true, |
| "original_occurrences": 1999999998, |
| "pair_frequency_tvd_upper_bound": 1.999999998e-09, |
| "conditional_entropy_nats": 3.5714023607206284, |
| "bigram_conditional_entropy_nats": 4.87638457764605, |
| "additional_information_nats": 1.3049822169254215, |
| "deterministic_contexts": 1457930, |
| "deterministic_occurrence_mass": 0.0028618434971381564, |
| "pair_flow_count_error": 0, |
| "note": "Removed two artificial wrap edges, then added one count along an existing-support return path. Exact stationary reference; probabilities differ minutely from the finite-stream empirical source." |
| }, |
| "identity": { |
| "reference": "/notebooks/synthetic_trigrams/outputs/research/natural_language_scaling/trigram_reference_inputs/original", |
| "reference_sha256": "535c57b1e3ef35730e26c68987d44cf48df8a5f383387061337dbc7f841ef765", |
| "rank": 16, |
| "alpha": 0.0, |
| "seed": 20261103, |
| "tolerance": 1e-08, |
| "implementation": "sparse-middle-blocks-v2", |
| "feature_bank_rank": 128, |
| "context_features": "independent", |
| "context_frequency_exponent": 0.0, |
| "frequency_pivot_count": 18063.0, |
| "frequency_multiplier_bounds": [ |
| 0.5, |
| 2.0 |
| ] |
| }, |
| "target_entropy_nats": 3.5714023607206284, |
| "additional_information_nats": 1.304982238579591, |
| "probabilities_directory": "outputs/research/natural_language_scaling/trigram_flat_components_016_source/fits/beta_1.7078669320", |
| "note": "Exact empirical support; stationary pair marginals and total conditional information matched. Per-context information is not fitted. Coefficients follow power decay before masking and balancing; no exact final spectrum claim." |
| } |
|
|
