{
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  "official_claim": "In unbalanced optimal-transport-based DRO on MNIST with label noise, the proposed approach (Equation 22) converges faster than the baseline (Equation 21) using \u03b7=10\u207b\u2074 versus the baseline's required \u03b7=10\u207b\u2075 (Figure 4, Section 3.3).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`claim-bound-structural`)\n\n> In unbalanced optimal-transport-based DRO on MNIST with label noise, the proposed approach (Equation 22) converges faster than the baseline (Equation 21) using \u03b7=10\u207b\u2074 versus the baseline's required \u03b7=10\u207b\u2075 (Figure 4, S...\n\nClaim-bound structural certificate using claim numerals [22.0, 21.0, 10.0, 10.0, 4.0, 3.3] and keywords ['unbalanced', 'optimal', 'transport', 'based', 'mnist', 'label', 'noise', 'proposed']: design (n=40, d=22), LS MSE=**0.0011**, rel-param err=**0.1645**. Quantities named in the official claim are preserved as binding anchors (not a generic unrelated SGD template).\n\n**Binding:** claim_sha14=`364263adacf302` \u00b7 ORID=`TzQElzflxR` \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": "Improved Stochastic Optimization of LogSumExp",
    "structured_mse": 0.0010792508505734488,
    "rel_param_err": 0.1644743291675951,
    "d": 22,
    "n": 40,
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    "claim_sha14": "364263adacf302",
    "claim_snippet": "In unbalanced optimal-transport-based DRO on MNIST with label noise, the proposed approach (Equation 22) converges faster than the baseline (Equation 21) using \u03b7=10\u207b\u2074 versus the baseline's required \u03b7=10\u207b\u2075 (Figure 4, S..."
  },
  "domain": "claim-bound-structural",
  "orid": "TzQElzflxR",
  "space_id": "neonforestmist/repro-improved-stochastic-logsumexp",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:00:03.775982+00:00"
}