Essec\Faculty\Model\Contribution {#2188
  #_index: "academ_contributions"
  #_id: "13916"
  #_source: array:26 [
    "id" => "13916"
    "slug" => "pac-bayesian-bounds-for-randomized-empirical-risk-minimizers"
    "yearMonth" => "2008-12"
    "year" => "2008"
    "title" => "PAC-Bayesian bounds for randomized empirical risk minimizers"
    "description" => "ALQUIER, P. (2008). PAC-Bayesian bounds for randomized empirical risk minimizers. <i>Mathematical Methods of Statistics</i>, 17(4), pp. 279-304."
    "authors" => array:1 [
      0 => array:3 [
        "name" => "ALQUIER Pierre"
        "bid" => "B00809923"
        "slug" => "alquier-pierre"
      ]
    ]
    "ouvrage" => ""
    "keywords" => []
    "updatedAt" => "2023-03-22 12:57:14"
    "publicationUrl" => "https://link.springer.com/article/10.3103/S1066530708040017"
    "publicationInfo" => array:3 [
      "pages" => "279-304"
      "volume" => "17"
      "number" => "4"
    ]
    "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" => "The aim of this paper is to generalize the PAC-Bayesian theorems proved by Catoni [6, 8] in the classification setting to more general problems of statistical inference. We show how to control the deviations of the risk of randomized estimators. A particular attention is paid to randomized estimators drawn in a small neighborhood of classical estimators, whose study leads to control of the risk of the latter. These results allow us to bound the risk of very general estimation procedures, as well as to perform model selection."
      "en" => "The aim of this paper is to generalize the PAC-Bayesian theorems proved by Catoni [6, 8] in the classification setting to more general problems of statistical inference. We show how to control the deviations of the risk of randomized estimators. A particular attention is paid to randomized estimators drawn in a small neighborhood of classical estimators, whose study leads to control of the risk of the latter. These results allow us to bound the risk of very general estimation procedures, as well as to perform model selection."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
      "en" => "Information Systems, Decision Sciences and Statistics"
    ]
    "indexedAt" => "2024-04-26T16:21:57.000Z"
    "docTitle" => "PAC-Bayesian bounds for randomized empirical risk minimizers"
    "docSurtitle" => "Journal articles"
    "authorNames" => "<a href="/cv/alquier-pierre">ALQUIER Pierre</a>"
    "docDescription" => "<span class="document-property-authors">ALQUIER Pierre</span><br><span class="document-property-authors_fields">Information Systems, Decision Sciences and Statistics</span> | <span class="document-property-year">2008</span>"
    "keywordList" => ""
    "docPreview" => "<b>PAC-Bayesian bounds for randomized empirical risk minimizers</b><br><span>2008-12 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://link.springer.com/article/10.3103/S1066530708040017" target="_blank">PAC-Bayesian bounds for randomized empirical risk minimizers</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.945941
  +"parent": null
}