@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-00957087v1> a dcat:Dataset ;
    dct:description """
              Incomplete rankings on a set of items {1, ..., n} are orderings of the form a_{1} \\prec ... \\prec a_{k}, with {a_{1}, ..., a_{k}} \\subset {1, ..., n} and k < n. Though they arise in many modern applications, only a few methods have been introduced to manipulate them, most of them consisting in representing any incomplete ranking by the set of all its possible linear extensions on {1, ..., n}. It is the major purpose of this paper to introduce a completely novel approach, which allows to treat incomplete rankings directly, representing them as injective words over {1, ..., n}. Unexpectedly, operations on incomplete rankings have very simple equivalents in this setting and the topological structure of the complex of injective words can be interpretated in a simple fashion from the perspective of ranking. We exploit this connection here and use recent results from algebraic topology to construct a multiresolution analysis and develop a wavelet framework for incomplete rankings. Though purely combinatorial, this construction relies on the same ideas underlying multiresolution analysis on a Euclidean space, and permits to localize the information related to rankings on each subset of items. It can be viewed as a crucial step toward nonlinear approximation of distributions of incomplete rankings and paves the way for many statistical applications, including preference data analysis and the design of recommender systems.
            """ ;
    dct:identifier "hal-00957087" ;
    dct:issued "2026-05-06T02:39:12.679084"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-06T02:39:12.679088"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Multiresolution Analysis of Incomplete Rankings" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00957087v1/resource/107a9bee-021b-4c1e-9dc7-21da94c96688> ;
    dcat:keyword "incomplete-rankings",
        "infoeu-reposemanticspreprint",
        "injective-words",
        "mathmath-stmathematics-mathstatistics-mathst",
        "msc-43a99--08a50--05e18--15a03",
        "multiresolution-analysis",
        "preprints-working-papers-",
        "statthstatistics-statstatistics-theory-statth",
        "wavelets" ;
    dcat:landingPage <https://hal.science/hal-00957087> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00957087v1/resource/107a9bee-021b-4c1e-9dc7-21da94c96688> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-06T02:39:12.698466"^^xsd:dateTime ;
    dct:modified "2026-05-06T02:39:12.667689"^^xsd:dateTime ;
    dct:title "Multiresolution Analysis of Incomplete Rankings" ;
    dcat:accessURL <https://hal.science/hal-00957087> .

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

<https://hal.science/hal-00957087> a foaf:Document .