%0 Journal Article
%T Standardizing Type Ia Supernova Absolute Magnitudes Using Gaussian Process Data Regression
%A A. G. Kim
%A R. C. Thomas
%A G. Aldering
%A P. Antilogus
%A C. Aragon
%A S. Bailey
%A C. Baltay
%A S. Bongard
%A C. Buton
%A A. Canto
%A F. Cellier-Holzem
%A M. Childress
%A N. Chotard
%A Y. Copin
%A H. K. Fakhouri
%A E. Gangler
%A J. Guy
%A M. Kerschhaggl
%A M. Kowalski
%A J. Nordin
%A P. Nugent
%A K. Paech
%A R. Pain
%A E. P¨¦contal
%A R. Pereira
%A S. Perlmutter
%A D. Rabinowitz
%A M. Rigault
%A K. Runge
%A C. Saunders
%A R. Scalzo
%A G. Smadja
%A C. Tao
%A B. A. Weaver
%A C. Wu
%J Physics
%D 2013
%I arXiv
%R 10.1088/0004-637X/766/2/84
%X We present a novel class of models for Type Ia supernova time-evolving spectral energy distributions (SED) and absolute magnitudes: they are each modeled as stochastic functions described by Gaussian processes. The values of the SED and absolute magnitudes are defined through well-defined regression prescriptions, so that data directly inform the models. As a proof of concept, we implement a model for synthetic photometry built from the spectrophotometric time series from the Nearby Supernova Factory. Absolute magnitudes at peak $B$ brightness are calibrated to 0.13 mag in the $g$-band and to as low as 0.09 mag in the $z=0.25$ blueshifted $i$-band, where the dispersion includes contributions from measurement uncertainties and peculiar velocities. The methodology can be applied to spectrophotometric time series of supernovae that span a range of redshifts to simultaneously standardize supernovae together with fitting cosmological parameters.
%U http://arxiv.org/abs/1302.2925v1