Essec\Faculty\Model\Contribution {#2216 ▼
#_index: "academ_contributions"
#_id: "15397"
#_source: array:26 [
"id" => "15397"
"slug" => "15397-a-branch-and-price-algorithm-for-the-hyper-rectangular-clustering-problem-with-axis-parallel-clusters-and-outliers
15397-a-branch-and-price-algorithm-for-the-hyper-rectangular-clustering-problem-with-axis-parallel-c
"
"yearMonth" => "2025-03"
"year" => "2025"
"title" => "A branch-and-price algorithm for the hyper-rectangular clustering problem with axis-parallel clusters and outliers
A branch-and-price algorithm for the hyper-rectangular clustering problem with axis-parallel cluster
"
"description" => "DELLE DONNE, D. et MARENCO, J. (2025). A branch-and-price algorithm for the hyper-rectangular clustering problem with axis-parallel clusters and outliers. <i>Computational Optimization and Applications</i>, 90, pp. 583-605.
DELLE DONNE, D. et MARENCO, J. (2025). A branch-and-price algorithm for the hyper-rectangular cluste
"
"authors" => array:2 [
0 => array:3 [
"name" => "DELLE DONNE Diego"
"bid" => "B00788133"
"slug" => "delle-donne-diego"
]
1 => array:1 [
"name" => "Marenco Javier"
]
]
"ouvrage" => ""
"keywords" => array:5 [
0 => "Clustering"
1 => "Hyper-rectangle"
2 => "Outliers"
3 => "Integer programming"
4 => "Branch-and-price"
]
"updatedAt" => "2025-03-03 13:45:49"
"publicationUrl" => "https://doi.org/10.1007/s10589-024-00637-w"
"publicationInfo" => array:3 [
"pages" => "583-605"
"volume" => "90"
"number" => ""
]
"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" => "We address the problem of clustering a set of points in Rd with axis-parallel clusters, while allowing to discard a pre-specified number of points, thus declared to be outliers. We present an integer programming formulation for this problem which employs exponentially-many variables and we develop an exact algorithm to solve it, based on branch-and-price techniques. We solve the linear relaxation of the proposed model by applying column generation and we propose two different integer programming formulations to tackle the associated pricing subproblem. For the branch-and-price algorithm, we propose a branching rule specifically tailored for the problem. Finally, we provide computational experiments showing that the proposed approach is effective in practice.
We address the problem of clustering a set of points in Rd with axis-parallel clusters, while allowi
"
"en" => "We address the problem of clustering a set of points in Rd with axis-parallel clusters, while allowing to discard a pre-specified number of points, thus declared to be outliers. We present an integer programming formulation for this problem which employs exponentially-many variables and we develop an exact algorithm to solve it, based on branch-and-price techniques. We solve the linear relaxation of the proposed model by applying column generation and we propose two different integer programming formulations to tackle the associated pricing subproblem. For the branch-and-price algorithm, we propose a branching rule specifically tailored for the problem. Finally, we provide computational experiments showing that the proposed approach is effective in practice.
We address the problem of clustering a set of points in Rd with axis-parallel clusters, while allowi
"
]
"authors_fields" => array:2 [
"fr" => "Systèmes d'Information, Data Analytics et Opérations"
"en" => "Information Systems, Data Analytics and Operations"
]
"indexedAt" => "2025-04-08T17:21:41.000Z"
"docTitle" => "A branch-and-price algorithm for the hyper-rectangular clustering problem with axis-parallel clusters and outliers
A branch-and-price algorithm for the hyper-rectangular clustering problem with axis-parallel cluster
"
"docSurtitle" => "Journal articles"
"authorNames" => "<a href="/cv/delle-donne-diego">DELLE DONNE Diego</a>, Marenco Javier"
"docDescription" => "<span class="document-property-authors">DELLE DONNE Diego, Marenco Javier</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2025</span>
<span class="document-property-authors">DELLE DONNE Diego, Marenco Javier</span><br><span class="doc
"
"keywordList" => "<a href="#">Clustering</a>, <a href="#">Hyper-rectangle</a>, <a href="#">Outliers</a>, <a href="#">Integer programming</a>, <a href="#">Branch-and-price</a>
<a href="#">Clustering</a>, <a href="#">Hyper-rectangle</a>, <a href="#">Outliers</a>, <a href="#">I
"
"docPreview" => "<b>A branch-and-price algorithm for the hyper-rectangular clustering problem with axis-parallel clusters and outliers</b><br><span>2025-03 | Journal articles </span>
<b>A branch-and-price algorithm for the hyper-rectangular clustering problem with axis-parallel clus
"
"docType" => "research"
"publicationLink" => "<a href="https://doi.org/10.1007/s10589-024-00637-w" target="_blank">A branch-and-price algorithm for the hyper-rectangular clustering problem with axis-parallel clusters and outliers</a>
<a href="https://doi.org/10.1007/s10589-024-00637-w" target="_blank">A branch-and-price algorithm fo
"
]
+lang: "en"
+"_type": "_doc"
+"_score": 8.517034
+"parent": null
}