{"componentChunkName":"component---src-templates-course-unit-page-tsx","path":"/en/courseunit/ls00ek97/","result":{"data":{"translations":{"edges":[{"node":{"context":{"locale":"fi","code":"LS00EK97","title":"Tilastolliset käänteisongelmat"},"path":"/fi/opintojakso/ls00ek97/"}},{"node":{"context":{"locale":"en","code":"LS00EK97","title":"Statistical Inverse Problems"},"path":"/en/courseunit/ls00ek97/"}}]},"SISU":{"courseUnit":[{"id":"otm-990ea641-94fc-3060-91af-3721af19c226","code":"LS00EK97","name":{"en":"Statistical Inverse Problems","fi":"Tilastolliset käänteisongelmat","sv":"Tilastolliset käänteisongelmat"},"credits":{"max":5,"min":5},"studyLevel":null,"possibleAttainmentLanguages":[{"name":{"en":"English","fi":"englanti","sv":"engelska"}}],"responsibleOrganisations":[],"coordinatingOrganisations":[],"curriculumPeriods":[],"cooperationNetworkDirection":"INBOUND","cooperationNetworks":[{"targetGroups":[{"activePhase":null,"educationIds":null,"educationTypes":["urn:code:education-type:degree-education:doctor","urn:code:education-type:degree-education:masters-degree","urn:code:education-type:degree-education:bachelors-degree","urn:code:education-type:degree-education:bachelors-and-masters-degree"],"organisationIds":["jy-ORG-25","jy-ORG-55"],"educationGroupIds":null,"phase1OptionGroupIds":null,"phase2OptionGroupIds":null,"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":null,"phase2OptionChildGroupIds":null,"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null}],"description":{"en":"<p>This course is offered through the Network for Applied Mathematics. These studies are available for bachelor's, master's and doctoral degree students studying at the University of Jyväskylä in the Following Educational fields:</p><ul><li>Natural Sciences</li><li>Information and Communication Technologies (ICTs)</li><li>Engineering, manufacturing and construction</li></ul>","fi":"<p>Tämä opintojakso on tarjolla Sovelletun matematiikan -verkostossa. Verkoston opinnot ovat tarjolla Jyväskylän yliopiston kandidaatti- ja maisteriopiskelijoille sekä tohtoriopiskelijoille seuraavilla aloilla:</p><ul><li>Luonnontieteet</li><li>Tietojenkäsittely ja tietoliikenne (ICT)</li><li>Tekniikan alat</li></ul><p><br></p>"},"cooperationNetwork":{"abbreviation":"smv","name":{"en":"Finnish Applied Mathematics Network","fi":"Sovelletun matematiikan verkosto","sv":"Finnish Applied Mathematics Network"}}},{"targetGroups":[{"activePhase":null,"educationIds":null,"educationTypes":null,"organisationIds":null,"educationGroupIds":null,"phase1OptionGroupIds":["jy-DP-15471","jy-DP-21321","jy-DP-13215","otm-157daa3c-6f87-4d1d-86e2-5f2ed9872b58","jy-DP-13221","jy-DP-21280","jy-DP-30241"],"phase2OptionGroupIds":null,"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":null,"phase2OptionChildGroupIds":null,"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null},{"activePhase":null,"educationIds":null,"educationTypes":null,"organisationIds":null,"educationGroupIds":null,"phase1OptionGroupIds":null,"phase2OptionGroupIds":["jy-DP-15471","jy-DP-13215","jy-DP-30241"],"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":null,"phase2OptionChildGroupIds":null,"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null}],"description":{"en":"<p>This course is offered through the Network for Inverse Problems. These studies are available for the following degree students:<br><br></p><ul><li>Bachelor's Degree Programme in Mathematics</li><li>Bachelor's Degree Programme in Mathematics (Subject Teacher)</li><li>Master’s Degree Programme in Mathematics</li><li>Master's degree Programme in Mathematics (Subject Teacher)</li><li>Doctoral Degree Programme in Mathematics and Statistics</li></ul>","fi":"<p>Tämä opintojakso on tarjolla Inversio-ongelmien verkostossa. Verkoston opinnot ovat tarjolla seuraavien tutkinto-ohjelmien opiskelijoille:<br><br></p><ul><li>Matematiikan kandidaattiohjelma</li><li>Matematiikan aineenopettajan kandidaattiohjelma</li><li>Matematiikan maisteriohjelma</li><li>Matematiikan aineenopettajan&nbsp;maisteriohjelma</li><li>Matematiikan\nja tilastotieteen tohtoriohjelma</li></ul>"},"cooperationNetwork":{"abbreviation":"inversio","name":{"en":"Education network on Inverse Problems","fi":"Inversio-ongelmien koulutusverkosto"}}}],"gradeScaleId":"sis-0-5","outcomes":{"en":"Students will learn the basics of Bayesian inverse problems and they will learn how to apply the theory and computational methods to computational inverse problems in practice.\r\n\r\nThe course develops the following generic skills: digitalization, management and development, internationality, sustainability and responsibility, critical thinking, identification and development of one&#39;s own expertise, and interaction and communication.","fi":"Opintojakson suoritettuaan opiskelija hallitsee tilastollisen inversioteorian perusteet ja kykenee soveltamaan teoriaa ja numeerisia laskentamenetelmiä käytännön sovelluksiin.\r\n\r\nOpintojakso kehittää seuraavia geneerisiä taitoja: kriittinen ajattelu, oman asiantuntijuuden tunnistaminen ja kehittäminen ja vuorovaikutus ja viestintä."},"tweetText":null,"content":{"en":"- Bayesian interpretation of inverse problems. \r\n- Prior- and likelihood models \r\n- Posterior density models. \r\n- Inference over probability densities. \r\n- Markov chain Monte Carlo (MCMC) -algorithms. \r\n- Non-stationary inverse problems and Kalman-filters. Modelling and approximation errors.","fi":"- Käänteisongelmien tilastollinen tulkinta. \r\n- Priori- ja uskottavuusmalli \r\n- Posteriorijakaumat ja niiden tulkinta. \r\n- MCMC-algoritmit. \r\n- Dynaamiset inversio-ongelmat ja Kalman-suotimet. Malli- ja approksimaatiovirheet."},"additional":{"en":"Time:\r\nThe course will be held only every second academic year. You can see the course implementations in Study guide, under &#34;Course Units&#34; or &#34;Show past courses&#34;.\r\n\r\nThis course is intended for the following student groups:\r\n- Undergraduate students in Technical Physics (MSc)\r\n- Undergraduate students in Applied Physics (MSc)\r\n- Graduate students in technology, physics and mathematics.","fi":"Ajankohta:\r\nOpintojakso luennoidaan joka toinen vuosi. Tarkista seuraavan toteutuksenankohta opinto-oppaasta kohdasta &#34;Toteutukset&#34; tai &#34;Näytä menneet toteutukset&#34;.\r\n\r\nTämä opintojakso on tarkoitettu seuraaville opiskelijaryhmille:\r\n- Teknillisen fysiikan tutkinto-opiskelijat (diplomi-insinööri)\r\n- Sovelletun fysiikan tutkinto-opiskelijat (filosofian maisteri)\r\n- Tekniikan, fysiikan ja matematiikan jatko-opiskelijat."},"prerequisites":{"en":"Recommendations for the prior learning: Inverse Problems, Matlab programming","fi":"Suositeltava edeltävä osaaminen: Inverse Problems, Matlab-ohjelman käyttötaidot"},"compulsoryFormalPrerequisites":[],"recommendedFormalPrerequisites":[],"literature":[],"learningMaterial":null,"completionMethods":[]}],"prerequisiteCourseUnit":[],"prerequisiteModule":[]},"prerequisiteCourseUnitPage":{"nodes":[]},"prerequisiteModulePage":{"nodes":[]},"parentModulePage":{"nodes":[]}},"pageContext":{"type":"courseUnit","locale":"en","title":"Statistical Inverse Problems","id":"otm-990ea641-94fc-3060-91af-3721af19c226","code":"LS00EK97","prerequisiteCourseUnitIds":[],"prerequisiteModuleIds":[],"parentModuleIds":[],"curriculumPeriodStartDate":"2026-08-01","curriculumPeriodEndDate":"2027-08-01","coordinatingOrgIds":[],"searchable":false,"searchTags":null,"organisationIds":["otm-42edd1ec-1dc5-35c1-b11f-d74a959e96c9"],"organisations":[],"attainmentLanguages":["en"],"hasSummerStudies":false,"teachingPeriods":[],"cooperationNetworkDirection":"INBOUND","hasCooperationNetworkSettings":true,"hasAvoinTeaching":false}}}