@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-00818307v1> a dcat:Dataset ;
    dct:description """
              The effect of errors in variables in quantization is investigated. We prove general exact and non-exact oracle inequalities with fast rates for an empirical minimization based on a noisy sample $Z_i=X_i+\\epsilon_i,i=1,\\ldots,n$, where $X_i$ are i.i.d. with density $f$ and $\\epsilon_i$ are i.i.d. with density $\\eta$. These rates depend on the geometry of the density $f$ and the asymptotic behaviour of the characteristic function of $\\eta$. This general study can be applied to the problem of $k$-means clustering with noisy data. For this purpose, we introduce a deconvolution $k$-means stochastic minimization which reaches fast rates of convergence under standard Pollard's regularity assumptions.
            """ ;
    dct:identifier "hal-00818307" ;
    dct:issued "2026-05-11T07:25:17.871275"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-11T07:25:17.871280"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Anisotropic oracle inequalities in noisy quantization" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00818307v1/resource/5330f32f-dd51-4a99-8703-b91574274430> ;
    dcat:keyword "deconvolution",
        "fast-rates",
        "infoeu-reposemanticspreprint",
        "k-means-clustering",
        "margin-assumption",
        "mathmath-stmathematics-mathstatistics-mathst",
        "preprints-working-papers-",
        "quantization",
        "statthstatistics-statstatistics-theory-statth" ;
    dcat:landingPage <https://hal.science/hal-00818307> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00818307v1/resource/5330f32f-dd51-4a99-8703-b91574274430> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-11T07:25:17.895795"^^xsd:dateTime ;
    dct:modified "2026-05-11T07:25:17.861100"^^xsd:dateTime ;
    dct:title "Anisotropic oracle inequalities in noisy quantization" ;
    dcat:accessURL <https://hal.science/hal-00818307> .

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

<https://hal.science/hal-00818307> a foaf:Document .