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Essec\Faculty\Model\Contribution {#2216 ▼
  #_index: "academ_contributions"
  #_id: "10190"
  #_source: array:26 [
    "id" => "10190"
    "slug" => "10190-fixed-points-of-the-abe-formulation-of-stochastic-hopfield-networks"
    "yearMonth" => "2007-09"
    "year" => "2007"
    "title" => "Fixed points of the Abe formulation of Stochastic Hopfield Networks"
    "description" => "KRATZ, M., ATENCIA, M. et JOYA, G. (2007). Fixed points of the Abe formulation of Stochastic Hopfield Networks. Dans: 17th ICANN. Porto. KRATZ, M., ATENCIA, M. et JOYA, G. (2007). Fixed points of the Abe formulation of Stochastic Hopfiel "
    "authors" => array:3 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "ATENCIA Miguel"
      ]
      2 => array:1 [
        "name" => "JOYA Gonzalo"
      ]
    ]
    "ouvrage" => "17th ICANN"
    "keywords" => array:1 [
      0 => "Hopfield network"
    ]
    "updatedAt" => "2021-07-13 14:31:29"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => null
      "volume" => null
      "number" => null
    ]
    "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" => """
        The stability of stochastic Hopfield neural networks, in the Abe formulation, is studied. The aim is to determine whether the ability of the deterministic system to solve combinatorial optimization problems is preserved after the addition of random noise. In particular, the stochastic stability of the attractor set is analyzed: vertices, which are feasible points of the problem, should be stable, whereas interior points, which are unfeasible, should be\n The stability of stochastic Hopfield neural networks, in the Abe formulation, is studied. The aim is 
        unstable. Conditions on the noise intensity are stated, so that these properties are guaranteed. This theoretical investigation establishes the foundations for practical application of stochastic networks to combinatorial optimization. unstable. Conditions on the noise intensity are stated, so that these properties are guaranteed. Thi 
        """
      "en" => """
        The stability of stochastic Hopfield neural networks, in the Abe formulation, is studied. The aim is to determine whether the ability of the deterministic system to solve combinatorial optimization problems is preserved after the addition of random noise. In particular, the stochastic stability of the attractor set is analyzed: vertices, which are feasible points of the problem, should be stable, whereas interior points, which are unfeasible, should be\n The stability of stochastic Hopfield neural networks, in the Abe formulation, is studied. The aim is 
        unstable. Conditions on the noise intensity are stated, so that these properties are guaranteed. This theoretical investigation establishes the foundations for practical application of stochastic networks to combinatorial optimization. unstable. Conditions on the noise intensity are stated, so that these properties are guaranteed. Thi 
        """
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2025-03-20T23:21:41.000Z"
    "docTitle" => "Fixed points of the Abe formulation of Stochastic Hopfield Networks"
    "docSurtitle" => "Presentations at an Academic or Professional conference"
    "authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, ATENCIA Miguel, JOYA Gonzalo"
    "docDescription" => "<span class="document-property-authors">KRATZ Marie, ATENCIA Miguel, JOYA Gonzalo</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2007</span> <span class="document-property-authors">KRATZ Marie, ATENCIA Miguel, JOYA Gonzalo</span><br><span cl "
    "keywordList" => "<a href="#">Hopfield network</a>"
    "docPreview" => "<b>Fixed points of the Abe formulation of Stochastic Hopfield Networks</b><br><span>2007-09 | Presentations at an Academic or Professional conference </span> <b>Fixed points of the Abe formulation of Stochastic Hopfield Networks</b><br><span>2007-09 | Presen "
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">Fixed points of the Abe formulation of Stochastic Hopfield Networks</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.641179
  +"parent": null
}