Essec\Faculty\Model\Contribution {#2233
  #_index: "academ_contributions"
  #_id: "13866"
  #_source: array:26 [
    "id" => "13866"
    "slug" => "consistency-of-variational-bayes-inference-for-estimation-and-model-selection-in-mixtures"
    "yearMonth" => "2018-09"
    "year" => "2018"
    "title" => "Consistency of variational Bayes inference for estimation and model selection in mixtures"
    "description" => "CHERIEF-ABDELLATIF, B.E. et ALQUIER, P. (2018). Consistency of variational Bayes inference for estimation and model selection in mixtures. <i>The Electronic Journal of Statistics</i>, 12(2), pp. 2995-3035."
    "authors" => array:2 [
      0 => array:2 [
        "name" => "CHERIEF-ABDELLATIF Badr-Eddine"
        "bid" => "B00810114"
      ]
      1 => array:3 [
        "name" => "ALQUIER Pierre"
        "bid" => "B00809923"
        "slug" => "alquier-pierre"
      ]
    ]
    "ouvrage" => ""
    "keywords" => array:4 [
      0 => "Mixture models"
      1 => "frequentist evaluation of Bayesian methods"
      2 => "variational approximations"
      3 => "model selection"
    ]
    "updatedAt" => "2024-10-31 13:51:19"
    "publicationUrl" => "https://doi.org/10.1214/18-EJS1475"
    "publicationInfo" => array:3 [
      "pages" => "2995-3035"
      "volume" => "12"
      "number" => "2"
    ]
    "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" => "Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable posteriors thanks to optimization algorithms, is extremely popular in practice when dealing with complex models such as mixtures. The contribution of this paper is two-fold. First, we study the concentration of variational approximations of posteriors, which is still an open problem for general mixtures, and we derive consistency and rates of convergence. We also tackle the problem of model selection for the number of components: we study the approach already used in practice, which consists in maximizing a numerical criterion (the Evidence Lower Bound). We prove that this strategy indeed leads to strong oracle inequalities. We illustrate our theoretical results by applications to Gaussian and multinomial mixtures."
      "en" => "Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable posteriors thanks to optimization algorithms, is extremely popular in practice when dealing with complex models such as mixtures. The contribution of this paper is two-fold. First, we study the concentration of variational approximations of posteriors, which is still an open problem for general mixtures, and we derive consistency and rates of convergence. We also tackle the problem of model selection for the number of components: we study the approach already used in practice, which consists in maximizing a numerical criterion (the Evidence Lower Bound). We prove that this strategy indeed leads to strong oracle inequalities. We illustrate our theoretical results by applications to Gaussian and multinomial mixtures."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-12-21T16:21:43.000Z"
    "docTitle" => "Consistency of variational Bayes inference for estimation and model selection in mixtures"
    "docSurtitle" => "Articles"
    "authorNames" => "CHERIEF-ABDELLATIF Badr-Eddine, <a href="/cv/alquier-pierre">ALQUIER Pierre</a>"
    "docDescription" => "<span class="document-property-authors">CHERIEF-ABDELLATIF Badr-Eddine, ALQUIER Pierre</span><br><span class="document-property-authors_fields">Systèmes d'Information, Data Analytics et Opérations</span> | <span class="document-property-year">2018</span>"
    "keywordList" => "<a href="#">Mixture models</a>, <a href="#">frequentist evaluation of Bayesian methods</a>, <a href="#">variational approximations</a>, <a href="#">model selection</a>"
    "docPreview" => "<b>Consistency of variational Bayes inference for estimation and model selection in mixtures</b><br><span>2018-09 | Articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://doi.org/10.1214/18-EJS1475" target="_blank">Consistency of variational Bayes inference for estimation and model selection in mixtures</a>"
  ]
  +lang: "fr"
  +"_type": "_doc"
  +"_score": 8.755391
  +"parent": null
}