An X-Ray Spectral Classification Algorithm with Application to Young Stellar Clusters

A large volume of low signal-to-noise, multidimensional data is available from the CCD imaging spectrometers aboard the Chandra X-Ray Observatory and the X-Ray Multimirror Mission (XMM-Newton). To make progress analyzing this data,itisessentialtodevelopmethods tosort,classify,and characterize thevastlibrary of X-rayspectrain a nonparametric fashion (complementary to current parametric model fits). We have developed a spectral classification algorithm that handles large volumes of data and operates independently of the requirement of spectral model fits.Weuseprovenmultivariatestatisticaltechniquesincludingprincipalcomponentanalysisandanensembleclassifier consistingofagglomerativehierarchicalclusteringandK-meansclusteringappliedforthefirsttimeforspectralclassification.Thealgorithmpositionsthesourcesinamultidimensionalspectralsequenceandthengroupstheorderedsources into clusters based on their spectra. These clusters appear more distinct for sources with harder observed spectra. The apparent diversity ofsource spectra isreduced toa three-dimensional locus inprincipal component space,withspectral outliers falling outside this locus. The algorithm was applied to a sample of 444 strong sources selected from the 1616 X-ray emitting sources detected in deep Chandra imaging spectroscopy of the Orion Nebula Cluster. Classes form sequencesinNH,AV,andaccretionactivityindicators,demonstratingthatthealgorithmefficientlysortstheX-raysources into a physically meaningful sequence. The algorithm also isolates important classes of very deeply embedded, active young stellar objects, and yields trends between X-ray spectral parameters and stellar parameters for the lowest mass, pre‐main-sequence stars.

[1]  E. Feigelson,et al.  Bright X-Ray Flares in Orion Young Stars from COUP: Evidence for Star-Disk Magnetic Fields? , 2005, astro-ph/0506134.

[2]  N. Suzuki Quasar Spectrum Classification with Principal Component Analysis (PCA): Emission Lines in the Lyα Forest , 2006 .

[3]  Joel H. Kastner,et al.  Automated classification of x-ray sources in stellar clusters , 2003, SPIE Astronomical Telescopes + Instrumentation.

[4]  Robert J. Brunner,et al.  Robust Machine Learning Applied to Astronomical Data Sets. I. Star-Galaxy Classification of the Sloan Digital Sky Survey DR3 Using Decision Trees , 2006, astro-ph/0606541.

[5]  T. Boroson,et al.  The Emission-Line Properties of Low-Redshift Quasi-stellar Objects , 1992 .

[6]  Ping Guo,et al.  Automated Separation of Stars and Normal Galaxies Based on Statistical Mixture Modeling with RBF Neural Networks , 2003 .

[7]  V1647 Orionis: The X-Ray Evolution of a Pre-Main-Sequence Accretion Burst , 2006, astro-ph/0607653.

[8]  E. Feigelson,et al.  X-Ray Emission from Orion Nebula Cluster Stars with Circumstellar Disks and Jets , 2005, astro-ph/0506650.

[9]  F. Bauer,et al.  A Chandra Catalog of X-Ray Sources in the Central 150 pc of the Galaxy , 2006, astro-ph/0601627.

[10]  K. Taylor,et al.  The 2dF Galaxy Redshift Survey: spectral types and luminosity functions , 1999, astro-ph/9903456.

[11]  W. R. Buckland,et al.  Contributions to Probability and Statistics , 1960 .

[12]  M. Tsujimoto,et al.  Iron Fluorescent Line Emission from Young Stellar Objects in the Orion Nebula , 2004, astro-ph/0412608.

[13]  S. Derriere,et al.  Automated Classification of ROSAT Sources Using Heterogeneous Multiwavelength Source Catalogs , 2004 .

[14]  R. Cattell The Scree Test For The Number Of Factors. , 1966, Multivariate behavioral research.

[15]  I. Jolliffe Principal Component Analysis , 2002 .

[16]  THE CORONAE OF AR LACERTAE , 2003, astro-ph/0306380.

[17]  A. Szalay,et al.  Spectral Classification of Quasars in the Sloan Digital Sky Survey: Eigenspectra, Redshift, and Luminosity Effects , 2004, astro-ph/0408578.

[18]  W. N. Brandt,et al.  A Deep Chandra Catalog of X-Ray Point Sources toward the Galactic Center , 2003, astro-ph/0301371.

[19]  A Simultaneous Optical and X-Ray Variability Study of the Orion Nebula Cluster. I. Incidence of Time-correlated X-Ray/Optical Variations* , 2006, astro-ph/0606079.

[20]  E. Feigelson,et al.  High-Energy Processes in Young Stellar Objects , 1999 .

[21]  W. N. Brandt,et al.  DEEP EXTRAGALACTIC X-RAY SURVEYS , 2005 .

[22]  J. Horn A rationale and test for the number of factors in factor analysis , 1965, Psychometrika.

[23]  X-rays from HH 210 in the Orion nebula , 2006 .

[24]  F. R. Harnden,et al.  Rotational Modulation of X-Ray Emission in Orion Nebula Young Stars , 2005, astro-ph/0506164.

[25]  William H. Press,et al.  Spectral Classification and Luminosity Function of Galaxies in the Las Campanas Redshift Survey , 1997, astro-ph/9711227.

[26]  J. Kruskal Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis , 1964 .

[27]  M. Tsujimoto,et al.  Chandra Orion Ultradeep Project: Observations and Source Lists , 2004, astro-ph/0410136.

[28]  Junxian Wang,et al.  Ensemble Learning for Independent Component Analysis of Normal Galaxy Spectra , 2006 .

[29]  J. E. Jackson A User's Guide to Principal Components , 1991 .

[30]  G. Micela,et al.  Stellar Activity on the Young Suns of Orion: COUP Observations of K5-7 Pre-Main-Sequence Stars , 2005, astro-ph/0507151.

[31]  X-Ray Study of Triggered Star Formation and Protostars in IC 1396N , 2006, astro-ph/0607006.

[32]  F. R. Harnden,et al.  Chandra Multiwavelength Project. I. First X-Ray Source Catalog , 2003, astro-ph/0308492.

[33]  S. Sciortino,et al.  Chandra X-Ray Observation of the Orion Nebula Cluster. II. Relationship between X-Ray Activity Indicators and Stellar Parameters , 2002, astro-ph/0208475.

[34]  E. Feigelson,et al.  X-Ray Emission from Early-Type Stars in the Orion Nebula Cluster , 2005, astro-ph/0505503.

[35]  L. Hartmann,et al.  Emission-Line Diagnostics of T Tauri Magnetospheric Accretion. I. Line Profile Observations , 1998 .

[36]  M. C. Weisskopf,et al.  An Overview of the Performance and Scientific Results from the Chandra X‐Ray Observatory , 2001, astro-ph/0110308.

[37]  J. Edward Jackson,et al.  A User's Guide to Principal Components: Jackson/User's Guide to Principal Components , 2004 .

[38]  J. Bally,et al.  Outflows in the Orion Nebula: HH 540 from the Beehive Proplyd , 2005 .

[39]  N. Schulz,et al.  Evidence for Accretion: High-Resolution X-Ray Spectroscopy of the Classical T Tauri Star TW Hydrae , 2001, astro-ph/0111049.

[40]  E. Feigelson,et al.  The Origin of T Tauri X-Ray Emission: New Insights from the Chandra Orion Ultradeep Project , 2005, astro-ph/0506526.

[41]  MEMBERSHIP OF THE ORION NEBULA POPULATION FROM THE CHANDRA ORION ULTRADEEP PROJECT , 2005, astro-ph/0504370.

[42]  Bruce Margon,et al.  A Census of Object Types and Redshift Estimates in the SDSS Photometric Catalog from a Trained Decision-Tree Classifier , 2005 .

[43]  X-rays from HH210 in the Orion nebula , 2006, astro-ph/0601508.

[44]  E. Feigelson,et al.  Chandra Orion Ultradeep Project Census of X-Ray Stars in the BN-KL and OMC-1S Regions , 2005 .

[45]  A. Szalay,et al.  Spectral classification of galaxies: An Orthogonal approach , 1994, astro-ph/9411044.