{
  "abstract": "The problem of predicting unobserved entries in a binary matrix, known as 1-bit matrix completion, has found diverse applications in fields such as recommendation systems. In this study, we develop an empirical Bayes method for 1-bit matrix completion motivated by the Efron--Morris estimator, a matrix generalization of the James--Stein estimator that shrinks singular values toward zero. The proposed method exploits the underlying low-rank structure of binary matrices, drawing parallels with multidimensional item response theory. Simulation studies and real-data applications demonstrate that the proposed method achieves competitive predictive accuracy and favorable predictive calibration.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.09509",
  "author_total": 1,
  "authors": [
    {
      "name": "Takeru Matsuda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/esdysmn23s3yx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.09509",
  "fulltext_url": null,
  "id": "esdysmn23s3yx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.09509",
  "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",
      "cs.LG"
    ],
    [
      "arxiv",
      "stat.ME"
    ],
    [
      "arxiv",
      "stat.ML"
    ],
    [
      "openalex",
      "2206|Sparse and Compressive Sensing Techniques"
    ]
  ],
  "openalex": "W7160954188",
  "pdf_url": "https://arxiv.org/pdf/2605.09509",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/esdysmn23s3yx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:41Z",
      "native_id": "2605.09509",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.09509"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ME",
      "subfield": "statistics"
    }
  ],
  "title": "Empirical Bayes 1-bit matrix completion",
  "title_text": "Empirical Bayes 1-bit matrix completion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:41Z",
  "url": "https://research.draconitic.com/paper/esdysmn23s3yx",
  "venue": "arXiv",
  "versions": []
}