Essec\Faculty\Model\Contribution {#2233
  #_index: "academ_contributions"
  #_id: "15356"
  #_source: array:26 [
    "id" => "15356"
    "slug" => "a-geometrical-viewpoint-on-the-benign-overfitting-property-of-the-minimum-l2-norm-interpolant-estimator-and-its-universality"
    "yearMonth" => "2024-11"
    "year" => "2024"
    "title" => "A geometrical viewpoint on the benign overfitting property of the minimum  L2-norm interpolant estimator and its universality"
    "description" => "LECUE, G. et SHANG, Z. (2024). A geometrical viewpoint on the benign overfitting property of the minimum  L2-norm interpolant estimator and its universality. <i>Probability Theory and Related Fields</i>, In press."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "LECUE Guillaume"
        "bid" => "B00806953"
        "slug" => "lecue-guillaume"
      ]
      1 => array:1 [
        "name" => "Shang Zong"
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:1 [
      0 => "benign overfitting"
    ]
    "updatedAt" => "2024-11-26 11:03:31"
    "publicationUrl" => "https://doi.org/10.1007/s00440-024-01336-7"
    "publicationInfo" => array:3 [
      "pages" => ""
      "volume" => "In press"
      "number" => ""
    ]
    "type" => array:2 [
      "fr" => "Articles"
      "en" => "Journal articles"
    ]
    "support_type" => array:2 [
      "fr" => "Revue scientifique"
      "en" => "Scientific journal"
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => """
        In the linear regression model, the minimum-norm interpolant estimator \n
         has received much attention since it was proved to be consistent even though it fits noisy data perfectly under some condition on the covariance matrix \n
         of the input vector, known as benign overfitting. Motivated by this phenomenon, we study the generalization property of this estimator from a geometrical viewpoint. Our main results extend and improve the convergence rates as well as the deviation probability from (Tsigler et al. in J Mach Learn Res 24(123):1–76, 2021).
        """
      "en" => """
        In the linear regression model, the minimum-norm interpolant estimator \n
         has received much attention since it was proved to be consistent even though it fits noisy data perfectly under some condition on the covariance matrix \n
         of the input vector, known as benign overfitting. Motivated by this phenomenon, we study the generalization property of this estimator from a geometrical viewpoint. Our main results extend and improve the convergence rates as well as the deviation probability from (Tsigler et al. in J Mach Learn Res 24(123):1–76, 2021).
        """
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-12-22T08:21:46.000Z"
    "docTitle" => "A geometrical viewpoint on the benign overfitting property of the minimum  L2-norm interpolant estimator and its universality"
    "docSurtitle" => "Articles"
    "authorNames" => "<a href="/cv/lecue-guillaume">LECUE Guillaume</a>, Shang Zong"
    "docDescription" => "<span class="document-property-authors">LECUE Guillaume, Shang Zong</span><br><span class="document-property-authors_fields">Systèmes d'Information, Data Analytics et Opérations</span> | <span class="document-property-year">2024</span>"
    "keywordList" => "<a href="#">benign overfitting</a>"
    "docPreview" => "<b>A geometrical viewpoint on the benign overfitting property of the minimum  L2-norm interpolant estimator and its universality</b><br><span>2024-11 | Articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://doi.org/10.1007/s00440-024-01336-7" target="_blank">A geometrical viewpoint on the benign overfitting property of the minimum  L2-norm interpolant estimator and its universality</a>"
  ]
  +lang: "fr"
  +"_type": "_doc"
  +"_score": 8.725183
  +"parent": null
}