Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "12544"
  #_source: array:26 [
    "id" => "12544"
    "slug" => "the-wang-landau-algorithm-reaches-the-flat-histogram-criterion-in-finite-time"
    "yearMonth" => "2014-01"
    "year" => "2014"
    "title" => "The Wang–Landau algorithm reaches the flat histogram criterion in finite time"
    "description" => "JACOB, P. et RYDER, R.J. (2014). The Wang–Landau algorithm reaches the flat histogram criterion in finite time. <i>Annals of Applied Probability</i>, 24(1), pp. 34-53."
    "authors" => array:2 [
      0 => array:3 [
        "name" => "JACOB Pierre"
        "bid" => "B00795650"
        "slug" => "jacob-pierre"
      ]
      1 => array:1 [
        "name" => "RYDER Robin J."
      ]
    ]
    "ouvrage" => ""
    "keywords" => []
    "updatedAt" => "2023-01-27 01:00:40"
    "publicationUrl" => "https://doi.org/10.1214/12-AAP913"
    "publicationInfo" => array:3 [
      "pages" => "34-53"
      "volume" => "24"
      "number" => "1"
    ]
    "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 Wang–Landau algorithm aims at sampling from a probability distribution, while penalizing some regions of the state space and favoring others. It is widely used, but its convergence properties are still unknown. We show that for some variations of the algorithm, the Wang–Landau algorithm reaches the so-called flat histogram criterion in finite time, and that this criterion can be never reached for other variations. The arguments are shown in a simple context—compact spaces, density functions bounded from both sides—for the sake of clarity, and could be extended to more general contexts."
      "en" => "The Wang–Landau algorithm aims at sampling from a probability distribution, while penalizing some regions of the state space and favoring others. It is widely used, but its convergence properties are still unknown. We show that for some variations of the algorithm, the Wang–Landau algorithm reaches the so-called flat histogram criterion in finite time, and that this criterion can be never reached for other variations. The arguments are shown in a simple context—compact spaces, density functions bounded from both sides—for the sake of clarity, and could be extended to more general contexts."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-12-22T11:21:42.000Z"
    "docTitle" => "The Wang–Landau algorithm reaches the flat histogram criterion in finite time"
    "docSurtitle" => "Journal articles"
    "authorNames" => "<a href="/cv/jacob-pierre">JACOB Pierre</a>, RYDER Robin J."
    "docDescription" => "<span class="document-property-authors">JACOB Pierre, RYDER Robin J.</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2014</span>"
    "keywordList" => ""
    "docPreview" => "<b>The Wang–Landau algorithm reaches the flat histogram criterion in finite time</b><br><span>2014-01 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://doi.org/10.1214/12-AAP913" target="_blank">The Wang–Landau algorithm reaches the flat histogram criterion in finite time</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.594523
  +"parent": null
}