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dc.date.accessioned2017-09-05T14:52:47Z
dc.date.available2018-04-29T22:31:28Z
dc.date.created2017-08-29T11:47:00Z
dc.date.issued2017
dc.identifier.citationRanestad, Kristian Sturmfels, Bernd Amendola, Carlos . Algebraic Identifiability of Gaussian Mixtures. International mathematics research notices. 2017
dc.identifier.urihttp://hdl.handle.net/10852/57832
dc.description.abstractWe prove that all moment varieties of univariate Gaussian mixtures have the expected dimension. Our approach rests on intersection theory and Terracini’s classification of defective surfaces. The analogous identifiability result is shown to be false for mixtures of Gaussians in dimension 3 and higher. Their moments up to third order define projective varieties that are defective. Our geometric study suggests an extension of the Alexander–Hirschowitz theorem for Veronese varieties to the Gaussian setting. The final version of this research has been published in International Mathematics Research Notices. © Oxford University Pressen_US
dc.languageEN
dc.titleAlgebraic Identifiability of Gaussian Mixturesen_US
dc.typeJournal articleen_US
dc.creator.authorRanestad, Kristian
dc.creator.authorSturmfels, Bernd
dc.creator.authorAmendola, Carlos
cristin.unitcode185,15,13,0
cristin.unitnameMatematisk institutt
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2
dc.identifier.cristin1489420
dc.identifier.bibliographiccitationinfo:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International mathematics research notices&rft.volume=&rft.spage=&rft.date=2017
dc.identifier.jtitleInternational mathematics research notices
dc.identifier.doihttps://doi.org/10.1093/imrn/rnx090
dc.identifier.urnURN:NBN:no-60559
dc.type.documentTidsskriftartikkelen_US
dc.type.peerreviewedPeer reviewed
dc.source.issn1073-7928
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/57832/2/march19k.pdf
dc.type.versionAcceptedVersion


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