Essec\Faculty\Model\Contribution {#6196
  #_index: "academ_contributions"
  #_id: "13920"
  #_source: array:26 [
    "id" => "13920"
    "slug" => "constributions-to-statistical-learning-in-sparse-models"
    "yearMonth" => "2013-12"
    "year" => "2013"
    "title" => "Constributions to Statistical Learning in Sparse Models"
    "description" => "ALQUIER, P. (2013). Constributions to Statistical Learning in Sparse Models. Paris: France."
    "authors" => array:1 [
      0 => array:3 [
        "name" => "ALQUIER Pierre"
        "bid" => "B00809923"
        "slug" => "alquier-pierre"
      ]
    ]
    "ouvrage" => ""
    "keywords" => []
    "updatedAt" => "2023-03-22 13:45:50"
    "publicationUrl" => "http://tel.archives-ouvertes.fr/tel-00915505"
    "publicationInfo" => array:3 [
      "pages" => ""
      "volume" => ""
      "number" => ""
    ]
    "type" => array:2 [
      "fr" => "HDR"
      "en" => "HDR"
    ]
    "support_type" => array:2 [
      "fr" => null
      "en" => null
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => "The aim of this habilitation thesis is to give an overview of my works on high-dimensional statistics and statistical learning, under various sparsity assumptions. In a first part, I will describe the major challenges of high-dimensional statistics in the context of the generic linear regression model. After a brief review of existing results, I will present the theoretical study of aggregated estimators that was done in (Alquier & Lounici 2011). The second part essentially aims at providing extensions of the various theories presented in the first part to the estimation of time series models (Alquier & Doukhan 2011, Alquier & Wintenberger 2013, Alquier & Li 2012, Alquier, Wintenberger & Li 2012). Finally, the third part presents various extensions to nonparametric models, or to specific applications such as quantum statistics (Alquier & Biau 2013, Guedj & Alquier 2013, Alquier, Meziani & Peyré 2013, Alquier, Butucea, Hebiri, Meziani & Morimae 2013, Alquier 2013, Alquier 2008). In each section, we provide explicitely the estimators used and, as much as possible, optimal oracle inequalities satisfied by these estimators."
      "en" => "The aim of this habilitation thesis is to give an overview of my works on high-dimensional statistics and statistical learning, under various sparsity assumptions. In a first part, I will describe the major challenges of high-dimensional statistics in the context of the generic linear regression model. After a brief review of existing results, I will present the theoretical study of aggregated estimators that was done in (Alquier & Lounici 2011). The second part essentially aims at providing extensions of the various theories presented in the first part to the estimation of time series models (Alquier & Doukhan 2011, Alquier & Wintenberger 2013, Alquier & Li 2012, Alquier, Wintenberger & Li 2012). Finally, the third part presents various extensions to nonparametric models, or to specific applications such as quantum statistics (Alquier & Biau 2013, Guedj & Alquier 2013, Alquier, Meziani & Peyré 2013, Alquier, Butucea, Hebiri, Meziani & Morimae 2013, Alquier 2013, Alquier 2008). In each section, we provide explicitely the estimators used and, as much as possible, optimal oracle inequalities satisfied by these estimators."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d’Information, Sciences de la Décision et Statistiques"
      "en" => "Information Systems, Decision Sciences and Statistics"
    ]
    "indexedAt" => "2024-04-16T22:21:53.000Z"
    "docTitle" => "Constributions to Statistical Learning in Sparse Models"
    "docSurtitle" => "HDR"
    "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">Systèmes d’Information, Sciences de la Décision et Statistiques</span> | <span class="document-property-year">2013</span>"
    "keywordList" => ""
    "docPreview" => "<b>Constributions to Statistical Learning in Sparse Models</b><br><span>2013-12 | HDR </span>"
    "docType" => "research"
    "publicationLink" => "<a href="http://tel.archives-ouvertes.fr/tel-00915505" target="_blank">Constributions to Statistical Learning in Sparse Models</a>"
  ]
  +lang: "fr"
  +"_type": "_doc"
  +"_score": 8.457104
  +"parent": null
}