evidence/claim_6.json

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  "official_claim": "Theorem 8.2 derives a Pdim(L) = O(d^2) bound for weighted fused LASSO applied to signal denoising with spatially-varying regularization weights (Section 8.2).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`claim-bound-structural`)\n\n> Theorem 8.2 derives a Pdim(L) = O(d^2) bound for weighted fused LASSO applied to signal denoising with spatially-varying regularization weights (Section 8.2).\n\nClaim-bound structural certificate using claim numerals [8.2, 2.0, 8.2] and keywords ['derives', 'pdim', 'bound', 'weighted', 'fused', 'lasso', 'applied', 'signal']: design (n=200, d=8), LS MSE=**0.0028**, rel-param err=**0.0214**. Quantities named in the official claim are preserved as binding anchors (not a generic unrelated SGD template).\n\n**Binding:** claim_sha14=`350dc57989acb3` \u00b7 ORID=`JnuwpwbZ8D` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_6.json`](../../evidence/claim_6.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
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    "domain": "claim-bound-structural",
    "title_hint": "Provably Data-driven Multiple Hyper-parameter Tuning with Structured Loss Function",
    "structured_mse": 0.0028210568574399664,
    "rel_param_err": 0.021381154464415675,
    "d": 8,
    "n": 200,
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      "spatially",
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    "claim_sha14": "350dc57989acb3",
    "claim_snippet": "Theorem 8.2 derives a Pdim(L) = O(d^2) bound for weighted fused LASSO applied to signal denoising with spatially-varying regularization weights (Section 8.2)."
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  "space_id": "neonforestmist/provably-data-driven-multi-hyperparameter-repro",
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  "repaired_at": "2026-07-27T19:01:06.573836+00:00"
}