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[{"key": "dc.contributor.author", "value": "Luoto, Antti", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2013-09-20T09:11:37Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2013-09-20T09:11:37Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2013", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1280453", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/42193", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4m\u00e4 pro gradu -tutkielma k\u00e4sittelee simuloitu j\u00e4\u00e4hdytys -nimisen kombinatorisen\noptimointimenetelm\u00e4n teoriaa ja k\u00e4yt\u00e4nt\u00f6\u00e4. Esimerkiksi kuvank\u00e4sittelyss\u00e4 sovelletun\nalgoritmin ideana on l\u00f6yt\u00e4\u00e4 annetulla joukolla m\u00e4\u00e4ritellyn reaaliarvoisen energiafunktion\nglobaali minimikohta sallimalla - ei pelk\u00e4st\u00e4\u00e4n energiaa v\u00e4hent\u00e4vi\u00e4 -\nvaan my\u00f6s energiaa kasvattavia siirtymi\u00e4 l\u00e4ht\u00f6joukon alkioiden v\u00e4lill\u00e4. Tilastolliseen\nfysiikkaan analogian omaavan, Gibbsin jakauman ominaisuuksiin pohjautuvan menetelm\n\u00e4n matemaattisena perustana toimivat ep\u00e4homogeeniset Markovin ketjut, joiden\nsuppenemista tarkastellaan Dobrushinin kontraktiokerroinmenetelm\u00e4n avulla.\n\nSimuloidun j\u00e4\u00e4hdytyksen suppenemislause, joka takaa ep\u00e4homogeenisen Markov\nChain Monte Carlo -ketjun suppenemisen minimienergiatilojen joukkoon, todistetaan\naluksi Gibbs-otannan tapauksessa sek\u00e4 deterministisille ett\u00e4 satunnaisille p\u00e4ivitysjonoille.\nT\u00e4t\u00e4 varten tehd\u00e4\u00e4n katsaus satunnaiskenttien, naapurustoj\u00e4rjestelmien, klikkien\nja potentiaalien teoriaan.\n\nSuppenemislause todistetaan my\u00f6s yleisempiin tilanteisiin soveltuvan Metropolis-otannan\ntapauksessa. Metropolis-algoritmilla ajettavaa simuloitua j\u00e4\u00e4hdytyst\u00e4 sovelletaan\nlopuksi konkreettiseen ongelmaan, jossa pyrit\u00e4\u00e4n muodostamaan suorakulmion\nmuotoiselle tenttisalille vilpin est\u00e4miseksi optimaalinen istumaj\u00e4rjestys. Simulointikokeiden\nyhteydess\u00e4 pohditaan menetelm\u00e4n k\u00e4yt\u00e4nn\u00f6n soveltamiseen liittyv\u00e4\u00e4 problematiikkaa\nja pohditaan lopuksi sit\u00e4, kuinka hyvin j\u00e4\u00e4hdytys soveltuu tenttisaliongelman\nratkaisemiseen.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Antti Luoto (ankaluot) on 2013-09-20 09:11:37.058375. Form: Pro gradu -lomake (1 tekij\u00e4) (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake-1-tekijae). JyX data:", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija@noreply.fi) on 2013-09-20T09:11:37Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201309202331.pdf: 854682 bytes, checksum: 7c5eaeab16e46df3a2f39b7fc48824c9 (MD5)\nlicense.html: 107 bytes, checksum: a7d86e598caa500b1b433bbb9dc8ef1c (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2013-09-20T09:11:37Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201309202331.pdf: 854682 bytes, checksum: 7c5eaeab16e46df3a2f39b7fc48824c9 (MD5)\nlicense.html: 107 bytes, checksum: a7d86e598caa500b1b433bbb9dc8ef1c (MD5)\n Previous issue date: 2013", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto.", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "Gibbs-otanta", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "ep\u00e4homogeeninen Markovin ketju", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Metropolis-algoritmi", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "satunnaiskentt\u00e4", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "simuloitu j\u00e4\u00e4hdytys", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Simuloidun j\u00e4\u00e4hdytyksen suppenemislause", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201309202331", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master's thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Matematiikan ja tilastotieteen laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Mathematics and Statistics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Matematiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Mathematics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.date.updated", "value": "2013-09-20T09:11:37Z", "language": null, "element": "date", "qualifier": "updated", "schema": "dc"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": "fi", "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4041", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "optimointi", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "algoritmit", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}]
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