File size: 3,411 Bytes
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"blocks": 4096,
"occurrence_mass": 1.0,
"conditional_entropy_nats": 3.5714104546868244,
"pair_marginal_l1": 6.792850538862395e-09,
"reference": {
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"original_source": {
"identity": {
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"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",
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],
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"original_occurrences": 1999999998,
"pair_frequency_tvd_upper_bound": 1.999999998e-09,
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"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": 128,
"alpha": 0.0,
"seed": 20261103,
"tolerance": 1e-08,
"implementation": "sparse-middle-blocks-v2",
"feature_bank_rank": 128,
"context_features": "independent",
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"frequency_pivot_count": 18063.0,
"frequency_multiplier_bounds": [
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"target_entropy_nats": 3.5714023607206284,
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"probabilities_directory": "outputs/research/natural_language_scaling/trigram_flat_components_128_source/fits/beta_1.5683131734",
"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."
}
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