{
  "abstract": "The impact of a given training point on a statistical model can be measured through its leave-one-out influence on the model parameters, which quantifies how its removal from the training set affects the learned weights. For convex M-estimation under Gaussian design, in the high-dimensional limit where the number of samples and data dimension diverge at proportional rates, we show that the empirical distribution of influences across training points concentrates around a deterministic measure which we sharply characterize. This characterization suggests that influential samples tend to lie on average close to the decision boundary, making contact with a standard data selection heuristic in active learning.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.09250",
  "author_total": 1,
  "authors": [
    {
      "name": "Hugo Cui"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b2k5vhc2qdye1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.09250",
  "fulltext_url": null,
  "id": "b2k5vhc2qdye1",
  "issns": [],
  "landing_url": "https://hal.science/hal-05692586v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.LG"
    ],
    [
      "arxiv",
      "stat.ML"
    ],
    [
      "hal",
      "0.stat"
    ],
    [
      "hal",
      "1.stat.ml"
    ],
    [
      "openalex",
      "2613|Advanced Statistical Methods and Models"
    ]
  ],
  "openalex": "W7168163187",
  "pdf_url": "https://hal.science/hal-05692586/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b2k5vhc2qdye1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:47Z",
      "native_id": "hal-05692586",
      "source": "hal",
      "url": "https://hal.science/hal-05692586v1"
    },
    {
      "first_seen": "2026-10-30T12:25:03Z",
      "native_id": "2607.09250",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.09250"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ML",
      "subfield": "statistics"
    }
  ],
  "title": "Influence Diagnostics in High-dimensional M-estimation: Precise Asymptotics",
  "title_text": "Influence Diagnostics in High-dimensional M-estimation: Precise Asymptotics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:03Z",
  "url": "https://research.draconitic.com/paper/b2k5vhc2qdye1",
  "venue": "HAL",
  "versions": []
}