Essec\Faculty\Model\Contribution {#2220
  #_index: "academ_contributions"
  #_id: "16420"
  #_source: array:26 [
    "id" => 16420
    "slug" => "16420-empirical-pac-bayes-bounds-for-markov-chains"
    "yearMonth" => "2026-05"
    "year" => 2026
    "title" => "Empirical PAC-Bayes bounds for Markov chains"
    "description" => "ALQUIER, P. et KARAGULYAN, V. (2026). Empirical PAC-Bayes bounds for Markov chains. Dans: OPTIMAL: Optimisation and Post-Bayesian Inference in Machine Learning, Satellite Workshop AISTATS 2026. Tangier."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "ALQUIER Pierre"
        "bid" => "B00809923"
        "slug" => "alquier-pierre"
      ]
      1 => array:1 [
        "name" => "KARAGULYAN Vahe"
      ]
    ]
    "ouvrage" => "OPTIMAL: Optimisation and Post-Bayesian Inference in Machine Learning, Satellite Workshop AISTATS 2026"
    "keywords" => []
    "updatedAt" => "2026-05-11 17:33:23"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => ""
      "volume" => ""
      "number" => ""
    ]
    "type" => array:2 [
      "fr" => "Communications dans une conférence"
      "en" => "Presentations at an Academic or Professional conference"
    ]
    "support_type" => array:2 [
      "fr" => null
      "en" => null
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => ""
      "en" => ""
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2026-05-14T15:23:22.000Z"
    "docTitle" => "Empirical PAC-Bayes bounds for Markov chains"
    "docSurtitle" => "Presentations at an Academic or Professional conference"
    "authorNames" => "<a href="/cv/alquier-pierre">ALQUIER Pierre</a>, KARAGULYAN Vahe"
    "docDescription" => "<span class="document-property-authors">ALQUIER Pierre, KARAGULYAN Vahe</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2026</span>"
    "keywordList" => ""
    "docPreview" => "<b>Empirical PAC-Bayes bounds for Markov chains</b><br><span>2026-05 | Presentations at an Academic or Professional conference </span>"
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">Empirical PAC-Bayes bounds for Markov chains</a>"
  ]
  +lang: "en"
  +"_score": 9.0001135
  +"parent": null
}