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<ri:Resource created="2020-04-06T08:34:29Z" status="active" updated="2025-05-19T09:50:00Z" version="1.2" xmlns:ri="http://www.ivoa.net/xml/RegistryInterface/v1.0" xmlns:vr="http://www.ivoa.net/xml/VOResource/v1.0" xmlns:vs="http://www.ivoa.net/xml/VODataService/v1.1" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.ivoa.net/xml/VOResource/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/VOResource.xsd http://www.ivoa.net/xml/VODataService/v1.1 http://vo.ari.uni-heidelberg.de/docs/schemata/VODataService.xsd" xsi:type="vs:CatalogService"><title>Improved empirical models for Type Ia SNe</title><shortName>J/ApJ/869/167</shortName><identifier>ivo://CDS.VizieR/J/ApJ/869/167</identifier><altIdentifier>doi:10.26093/cds/vizier.18690167</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Saunders C.</name></creator><creator><name>Aldering G.</name></creator><creator><name>Antilogus P.</name></creator><creator><name>Bailey S.</name></creator><creator><name>Baltay C.</name></creator><creator><name>Barbary K.,Baugh D.</name></creator><creator><name>Boone K.</name></creator><creator><name>Bongard S.</name></creator><creator><name>Buton C.</name></creator><creator><name>Chen J.</name></creator><creator><name>Chotard N.</name></creator><creator><name>Copin Y.,Dixon S.</name></creator><creator><name>Fagrelius P.</name></creator><creator><name>Fakhouri H.K.</name></creator><creator><name>Feindt U.</name></creator><creator><name>Fouchez D.</name></creator><creator><name>Gangler E.,Hayden B.</name></creator><creator><name>Hillebrandt W.</name></creator><creator><name>Kim A.G.</name></creator><creator><name>Kowalski M.</name></creator><creator><name>Kusters D.</name></creator><creator><name>Leget P.-F.,Lombardo S.</name></creator><creator><name>Nordin J.</name></creator><creator><name>Pain R.</name></creator><creator><name>Pecontal E.</name></creator><creator><name>Pereira R.</name></creator><creator><name>Perlmutter S.,Rabinowitz D.</name></creator><creator><name>Rigault M.</name></creator><creator><name>Rubin D.</name></creator><creator><name>Runge K.</name></creator><creator><name>Smadja G.</name></creator><creator><name>Sofiatti C.,Suzuki N.</name></creator><creator><name>Tao C.</name></creator><creator><name>Taubenberger S.</name></creator><creator><name>Thomas R.C.</name></creator><creator><name>Vincenzi M.,(the Nearby Supernova Factory)</name></creator><date role="Updated">2020-05-28T08:37:23Z</date><date role="Created">2020-04-06T08:34:29Z</date><contact><name>CDS support team</name><address>CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France</address><email>cds-question@unistra.fr</email></contact></curation><content><subject>astronomical-models</subject><subject>supernovae</subject><subject>spectroscopy</subject><description>SN Ia cosmology depends on the ability to fit and standardize observations of supernova magnitudes with an empirical model. We present here a series of new models of SN Ia spectral time series that capture a greater amount of supernova diversity than is possible with the models that are currently customary. These are entitled SuperNova Empirical MOdels (SNEMO; https://snfactory.lbl.gov/snemo). The models are constructed using spectrophotometric time series from 172 individual supernovae from the Nearby Supernova Factory, comprising more than 2000 spectra. Using the available observations, Gaussian processes are used to predict a full spectral time series for each supernova. A matrix is constructed from the spectral time series of all the supernovae, and Expectation Maximization Factor Analysis is used to calculate the principal components of the data. K-fold cross-validation then determines the selection of model parameters and accounts for color variation in the data. Based on this process, the final models are trained on supernovae that have been dereddened using the Fitzpatrick and Massa extinction relation. Three final models are presented here: SNEMO2, a two-component model for comparison with current Type Ia models; SNEMO7, a seven-component model chosen for standardizing supernova magnitudes, which results in a total dispersion of 0.100mag for a validation set of supernovae, of which 0.087mag is unexplained (a total dispersion of 0.113mag with an unexplained dispersion of 0.097mag is found for the total set of training and validation supernovae); and SNEMO15, a comprehensive 15-component model that maximizes the amount of spectral time-series behavior captured.</description><source format="bibcode">2018ApJ...869..167S</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJ/869/167</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</relatedResource></relationship></content><rights>https://cds.unistra.fr/vizier-org/licences_vizier.html</rights><capability><interface xsi:type="vr:WebBrowser"><accessURL use="full">https://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/ApJ/869/167</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/ApJ/869/167</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/ApJ/869/167</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/ApJ/869/167</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/ApJ/869/167</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/ApJ/869/167</mirrorURL><queryType>GET</queryType><resultType>text/xml+votable</resultType></interface></capability><capability standardID="ivo://ivoa.net/std/TAP#aux"><interface xsi:type="vs:ParamHTTP" role="std"><accessURL use="base">https://tapvizier.cds.unistra.fr/TAPVizieR/tap</accessURL></interface></capability><coverage><footprint ivo-id="ivo://ivoa.net/std/moc"/></coverage><tableset><schema><name>default</name><table><name>J/ApJ/869/167/table3</name><description>Training and Validation Set Model Parameters</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Phase</name><description>[-10/46] SN phase</description><unit>d</unit><ucd>time.phase</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>lambda</name><description>Wavelength (Angstroems)</description><unit>0.1nm</unit><ucd>em.wl</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>SNEMO2c0</name><description>The SNEMO2c0 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO2c1</name><description>The SNEMO2c1 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO7c0</name><description>The SNEMO7c0 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO7c1</name><description>The SNEMO7c1 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO7c2</name><description>The SNEMO7c2 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO7c3</name><description>The SNEMO7c3 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO7c4</name><description>The SNEMO7c4 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO7c5</name><description>The SNEMO7c5 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO7c6</name><description>The SNEMO7c6 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c0</name><description>The SNEMO15c0 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c1</name><description>The SNEMO15c1 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c2</name><description>The SNEMO15c2 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c3</name><description>The SNEMO15c3 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c4</name><description>The SNEMO15c4 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c5</name><description>The SNEMO15c5 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c6</name><description>The SNEMO15c6 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c7</name><description>The SNEMO15c7 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c8</name><description>The SNEMO15c8 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c9</name><description>The SNEMO15c9 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c10</name><description>The SNEMO15c10 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c11</name><description>The SNEMO15c11 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c12</name><description>The SNEMO15c12 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c13</name><description>The SNEMO15c13 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>SNEMO15c14</name><description>The SNEMO15c14 parameter</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table><table><name>J/ApJ/869/167/list</name><description>*List of spectra</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Name</name><description>Model name</description><ucd>meta.id;stat.param;meta.modelled</ucd><dataType xsi:type="vs:VOTableType" arraysize="12*">char</dataType></column><column><name>Phase</name><description>Phase</description><ucd>time.phase</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>sp</name><description>Show the spectrum</description><ucd>meta.ref.url</ucd><dataType xsi:type="vs:VOTableType" arraysize="*">char</dataType></column><column><name>FileName</name><description>Name of the spectrum file in subdirectory sp</description><ucd>meta.id;meta.file</ucd><dataType xsi:type="vs:VOTableType" arraysize="18*">char</dataType></column></table></schema></tableset></ri:Resource>