@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00695258v1> a dcat:Dataset ;
    dct:description """
              The effect of errors in variables in empirical minimization is investigated. Given a loss $l$ and a set of decision rules $\\mathcal{G}$, we prove a general upper bound for an empirical minimization based on a deconvolution kernel and a noisy sample $Z_i=X_i+\\epsilon_i,i=1,\\ldots,n$. We apply this general upper bound to give the rate of convergence for the expected excess risk in noisy clustering. A recent bound from \\citet{levrard} proves that this rate is $\\mathcal{O}(1/n)$ in the direct case, under Pollard's regularity assumptions. Here the effect of noisy measurements gives a rate of the form $\\mathcal{O}(1/n^{\\frac{\\gamma}{\\gamma+2\\beta}})$, where $\\gamma$ is the Hölder regularity of the density of $X$ whereas $\\beta$ is the degree of illposedness.
            """ ;
    dct:identifier "hal-00695258" ;
    dct:issued "2026-05-19T16:52:48.190134"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-19T16:52:48.190140"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Fast rates for noisy clustering" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00695258v1/resource/d4244e55-8429-4bc0-bb4b-8d2c426ed810> ;
    dcat:keyword "clustering",
        "deconvolution",
        "empirical-minimization",
        "fast-rates",
        "infoeu-reposemanticspreprint",
        "infoinfo-lgcomputer-science-csmachine-learning-cslg",
        "inverse-problem",
        "mathmath-stmathematics-mathstatistics-mathst",
        "preprints-working-papers-",
        "statthstatistics-statstatistics-theory-statth" ;
    dcat:landingPage <https://hal.science/hal-00695258> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00695258v1/resource/d4244e55-8429-4bc0-bb4b-8d2c426ed810> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-19T16:52:48.212960"^^xsd:dateTime ;
    dct:modified "2026-05-19T16:52:48.160765"^^xsd:dateTime ;
    dct:title "Fast rates for noisy clustering" ;
    dcat:accessURL <https://hal.science/hal-00695258> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00695258> a foaf:Document .