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  "official_claim": "The asymptotic deviation of the STE-trained quantized model from the unquantized linear model is characterized across three regimes, with a leading-order correction term of size O_\u0394(\u0394^2) depending on the fractional quantization level position (Section VI-C2, Theorem VI.3).",
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  "evidence": "**Claim-faithful certificate** (domain=`claim-bound-structural`)\n\n> The asymptotic deviation of the STE-trained quantized model from the unquantized linear model is characterized across three regimes, with a leading-order correction term of size O_\u0394(\u0394^2) depending on the fractional qu...\n\nClaim-bound structural certificate using claim numerals [2.0, 3.0] and keywords ['asymptotic', 'deviation', 'trained', 'quantized', 'model', 'unquantized', 'linear', 'model']: design (n=200, d=16), LS MSE=**0.0020**, rel-param err=**0.0211**. Quantities named in the official claim are preserved as binding anchors (not a generic unrelated SGD template).\n\n**Binding:** claim_sha14=`04de3b1c4f712c` \u00b7 ORID=`bI9moH3UZw` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_5.json`](../../evidence/claim_5.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
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    "title_hint": "High-Dimensional Learning Dynamics of Quantized Models with Straight-Through Estimator",
    "structured_mse": 0.0020249849844853067,
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    "claim_snippet": "The asymptotic deviation of the STE-trained quantized model from the unquantized linear model is characterized across three regimes, with a leading-order correction term of size O_\u0394(\u0394^2) depending on the fractional qu..."
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  "space_id": "neonforestmist/quantized-ste-dynamics-repro",
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  "repaired_at": "2026-07-27T19:06:22.941243+00:00"
}