@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-00694039v2> a dcat:Dataset ;
    dct:description """
              This report is a sequel to several publications in which a {\\em Multiple-Gradient Descent Algorithm (MGDA)} has been proposed and tested for the treatment of multi-objective differentiable optimization. The method was originally introduced in \\cite{JAD09:MGDA}, and again formalized in \\cite{JAD12:MGDA-CRAS}. Its efficacy to identify the Pareto front has been demonstrated in \\cite{JAD11:MGDA-PAES}, in comparison with an evolutionary strategy. Finally, recently, a variant, {\\em MGDA II}, has been proposed in which the descent direction is calculated by a direct procedure \\cite{JAD12:MGDA2}. In this new report, the efficiency of the algorithm is tested in the context of a simulation by domain partitioning, as a technique to match the different interface components concurrently. For this, the very simple testcase of the finite-difference discretization of the Dirichlet problem over a square is considered. The study aims at assessing the performance of {\\em MGDA} in a discretized functional setting. One of the main teachings is the necessiy, here found imperative, to normalize the gradients appropriately.
            """ ;
    dct:identifier "Report N°: RR-7968" ;
    dct:issued "2026-05-17T21:53:05.121410"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-17T21:53:05.121416"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Application of MGDA to domain partitioning" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00694039v2/resource/b58d1753-5ba2-463b-a727-3b9be02f9deb> ;
    dcat:keyword "convex-hull",
        "descent-direction",
        "gram-schmidt-orthogonalization-process",
        "infoeu-reposemanticsreport",
        "mathmath-namathematics-mathnumerical-analysis-mathna",
        "multiobjective-optimization",
        "reports" ;
    dcat:landingPage <https://inria.hal.science/hal-00694039> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00694039v2/resource/b58d1753-5ba2-463b-a727-3b9be02f9deb> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-17T21:53:05.175602"^^xsd:dateTime ;
    dct:modified "2026-05-17T21:53:05.092025"^^xsd:dateTime ;
    dct:title "Application of MGDA to domain partitioning" ;
    dcat:accessURL <https://inria.hal.science/hal-00694039> .

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

<https://inria.hal.science/hal-00694039> a foaf:Document .