IQojX8HugF/source_audit.json

{
  "openreview_id": "IQojX8HugF",
  "arxiv": "2601.00632",
  "claims": [
    {
      "claim": 1,
      "source_status": "misstated",
      "source_page": 3,
      "anchor": "Section 2.2, Equation (5)",
      "note": "The LBW parametrization and weighted closed-form barycenter are present, but in Section 2.2 and Equation (5), not Equation 3.3/Section 3."
    },
    {
      "claim": 2,
      "source_status": "misstated",
      "source_page": 4,
      "anchor": "Section 3.1, Equations (6)-(7)",
      "note": "The stochastic consensus dynamics and exponential weighting are present, but the particle system is Equation (7) in Section 3.1 rather than Equation 4.2/Section 4."
    },
    {
      "claim": 3,
      "source_status": "misstated",
      "source_page": 6,
      "anchor": "Theorem 3.5",
      "note": "There is no Theorem 4.1. Theorem 3.5 proves exponential variance/consensus convergence plus a finite-alpha near-global energy bound, not exact exponential convergence to global minimizers."
    },
    {
      "claim": 4,
      "source_status": "misstated",
      "source_page": 5,
      "anchor": "Lemma 3.1 and Equation (8)",
      "note": "There is no Lemma 4.1. Well-posedness requires a growth-weighted LBW Lipschitz condition, stronger and more specific than bare local Lipschitz continuity."
    },
    {
      "claim": 5,
      "source_status": "confirmed",
      "source_page": 8,
      "anchor": "Figure 4 and Section 4.2",
      "note": "The source states CBO outperforms the baselines in all four 2D scenarios; Figure 1 also shows the lower KL solution on a bimodal target."
    },
    {
      "claim": 6,
      "source_status": "confirmed",
      "source_page": 4,
      "anchor": "Figure 3 and Equation (4)",
      "note": "The extended map is defined on all symmetric matrices, preserves PSD by construction, reaches singular covariances, and adds no computational effort."
    }
  ]
}