{
  "abstract": "Suppose that the eventual use of data is not known when the data are reduced or collected. This note considers two simple boundary cases. In a finite statistical experiment, a statistic preserves the Bayes risk for every finite later decision problem if and only if it is sufficient. Hence, when the minimal sufficient statistic is one-to-one, exact preservation of all later decision problems permits no nontrivial reduction. We then consider adaptive sampling from $m$ independent Gaussian streams when an external query specifies the coordinate to be classified only after sampling stops. Under coordinatewise error control, the optimal symmetric average sample size is exactly $m$ times the one-coordinate optimum. A change-of-measure argument gives the corresponding pointwise lower bound in terms of binary relative entropy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05286",
  "author_total": 1,
  "authors": [
    {
      "name": "Rianne de Heide"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cyw4ey7tmt4te.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05286",
  "fulltext_url": null,
  "id": "cyw4ey7tmt4te",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05286",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.ST"
    ],
    [
      "arxiv",
      "stat.TH"
    ],
    [
      "openalex",
      "2613|Probability and Statistical Research"
    ]
  ],
  "openalex": "W7211877277",
  "pdf_url": "https://arxiv.org/pdf/2609.05286",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cyw4ey7tmt4te.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.05286",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05286"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.ST",
      "subfield": "statistics"
    }
  ],
  "title": "Statistical reduction before the target is known: two boundary results",
  "title_text": "Statistical reduction before the target is known: two boundary results",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:25Z",
  "url": "https://research.draconitic.com/paper/cyw4ey7tmt4te",
  "venue": "arXiv",
  "versions": []
}