Essec\Faculty\Model\Contribution {#2216 ▼
#_index: "academ_contributions"
#_id: "10732"
#_source: array:26 [
"id" => "10732"
"slug" => "10732-structured-matrix-estimation-and-completion"
"yearMonth" => "2019-10"
"year" => "2019"
"title" => "Structured Matrix Estimation and Completion"
"description" => "KLOPP, O., LU, Y., TSYBAKOV, A.B. et ZHOU, H.H. (2019). Structured Matrix Estimation and Completion. <i>Bernoulli: A Journal of Mathematical Statistics and Probability</i>, 4B(25), pp. 3883-3911. 
KLOPP, O., LU, Y., TSYBAKOV, A.B. et ZHOU, H.H. (2019). Structured Matrix Estimation and Completion. "
"authors" => array:4 [
0 => array:3 [
"name" => "KLOPP Olga"
"bid" => "B00732676"
"slug" => "klopp-olga"
]
1 => array:1 [
"name" => "LU Y."
]
2 => array:1 [
"name" => "TSYBAKOV A. B."
]
3 => array:1 [
"name" => "ZHOU H. H."
]
]
"ouvrage" => ""
"keywords" => []
"updatedAt" => "2021-09-24 10:33:27"
"publicationUrl" => "https://www.researchgate.net/publication/318316260_Structured_Matrix_Estimation_and_Completion"
"publicationInfo" => array:3 [
"pages" => "3883-3911"
"volume" => "4B"
"number" => "25"
]
"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 study the problem of matrix estimation and matrix completion under a general framework. This framework includes several important models as special cases such as the gaussian mixture model, mixed membership model, bi-clustering model and dictionary learning. We consider the optimal convergence rates in a minimax sense for estimation of the signal matrix under the Frobenius norm and under the spectral norm. As a consequence of our general result we obtain minimax optimal rates of convergence for various special models. We study the problem of matrix estimation and matrix completion under a general framework. This fram "
"en" => "We study the problem of matrix estimation and matrix completion under a general framework. This framework includes several important models as special cases such as the gaussian mixture model, mixed membership model, bi-clustering model and dictionary learning. We consider the optimal convergence rates in a minimax sense for estimation of the signal matrix under the Frobenius norm and under the spectral norm. As a consequence of our general result we obtain minimax optimal rates of convergence for various special models. We study the problem of matrix estimation and matrix completion under a general framework. This fram "
]
"authors_fields" => array:2 [
"fr" => "Systèmes d'Information, Data Analytics et Opérations"
"en" => "Information Systems, Data Analytics and Operations"
]
"indexedAt" => "2025-04-12T03:21:41.000Z"
"docTitle" => "Structured Matrix Estimation and Completion"
"docSurtitle" => "Journal articles"
"authorNames" => "<a href="/cv/klopp-olga">KLOPP Olga</a>, LU Y., TSYBAKOV A. B., ZHOU H. H."
"docDescription" => "<span class="document-property-authors">KLOPP Olga, LU Y., TSYBAKOV A. B., ZHOU H. H.</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2019</span> <span class="document-property-authors">KLOPP Olga, LU Y., TSYBAKOV A. B., ZHOU H. H.</span><br><spa "
"keywordList" => ""
"docPreview" => "<b>Structured Matrix Estimation and Completion</b><br><span>2019-10 | Journal articles </span>"
"docType" => "research"
"publicationLink" => "<a href="https://www.researchgate.net/publication/318316260_Structured_Matrix_Estimation_and_Completion" target="_blank">Structured Matrix Estimation and Completion</a> <a href="https://www.researchgate.net/publication/318316260_Structured_Matrix_Estimation_and_Complet "
]
+lang: "en"
+"_type": "_doc"
+"_score": 8.731337
+"parent": null
}
