{
  "abstract": "Observation refinement changes posterior uncertainty and the likelihood calculation in pseudo-marginal MCMC. We compare their combined effect through finite-run squared-error risk. A sufficient inversion condition relates information gain to accepted event flow and coarse-kernel contraction. A bootstrap construction realizes inversion at every fixed particle count. We then couple cross-event proposals and refresh same-event proposals independently. A swap identity establishes invariance; continuation identities describe subsequent risk. In the same finite model, a rational certificate proves inversion against optimized constant mixtures and repair by selective allocation over an initialization class at a common action-price budget. Reaction-network experiments measure CPU costs. Under finite-pool initialization, selective allocation reduces event mean-squared error by 40.5% against a tuned mixture at 25 post-initialization CPU seconds. Paired transcription observations show how increased particle effort can raise finite-budget error.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.19718",
  "author_total": 1,
  "authors": [
    {
      "name": "Zihan Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8q06dgesc14b2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.19718",
  "fulltext_url": null,
  "id": "8q06dgesc14b2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.19718",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "stat.ME"
    ],
    [
      "openalex",
      "2613|Markov Chains and Monte Carlo Methods"
    ]
  ],
  "openalex": "W7203918832",
  "pdf_url": "https://arxiv.org/pdf/2608.19718",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8q06dgesc14b2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:21Z",
      "native_id": "2608.19718",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.19718"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ME",
      "subfield": "statistics"
    }
  ],
  "title": "Information-Computation Inversion in Pseudo-Marginal MCMC",
  "title_text": "Information-Computation Inversion in Pseudo-Marginal MCMC",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:21Z",
  "url": "https://research.draconitic.com/paper/8q06dgesc14b2",
  "venue": "arXiv",
  "versions": []
}