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In this paper we consider sparse and identifiable linear latent variable (factor) and linear Bayesian network models for parsimonious analysis of multivariate data. We propose a computationally efficient method for joint parameter and model…

Machine Learning · Statistics 2011-06-24 Ricardo Henao , Ole Winther

In the next decade, transient searches from the Vera C. Rubin Observatory and the Nancy Grace Roman Space Telescope will increase the sample of known Type Ia Supernovae (SN Ia) from $\sim10^3$ to $10^5$. With this reduction of statistical…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-28 J. D. R. Pierel , D. O. Jones , M. Dai , D. Q. Adams , R. Kessler , S. Rodney , M. R. Siebert , R. J. Foley , W. D. Kenworthy , D. Scolnic

In order to obtain robust cosmological constraints from Type Ia supernova (SN Ia) data, we have applied Markov Chain Monte Carlo (MCMC) to SN Ia lightcurve fitting. We develop a method for sampling the resultant probability density…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-19 Mi Dai , Yun Wang

We present an empirical method that uses multicolor light curve shapes (MLCS) to estimate the luminosity, distance, and total line-of-sight extinction of Type Ia supernovae (SN Ia). The empirical correlation between the MLCS and the…

Astrophysics · Physics 2009-07-09 Adam Riess , William Press , Robert Kirshner

The spectral energy distribution (SED) sequence for type Ia supernovae (SN Ia) is modeled by an artificial neural network. The SN Ia luminosity is characterized as a function of phase, wavelength, a color parameter and a decline rate…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-28 Qiao-Bin Cheng , Chao-Jun Feng , Xiang-Hua Zhai , Xin-Zhou Li

Bayesian model comparison implements Occam's razor through its sensitivity to the prior. However, prior-dependence makes it important to assess the influence of plausible alternative priors. Such prior sensitivity analyses for the Bayesian…

Methodology · Statistics 2026-01-22 Zixiao Hu , Jason D. McEwen

In the era of large all-sky surveys, there will be a need for rapid, automatic classifications of newly discovered transient objects. Our focus here is the classification of supernovae (SNe). We consider random forest machine learning…

High Energy Astrophysical Phenomena · Physics 2020-05-28 Jonathan Markel , Amanda J. Bayless

Type Ia supernova 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 Type Ia Supernova spectral time series that capture a greater…

Type Ia supernova (SN Ia) cosmology analyses include a luminosity step function in their distance standardization process to account for an observed yet unexplained difference in the post-standardization luminosities of SNe Ia originating…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-17 G. Taylor , C. Lidman , B. Popovic , H. Abbot

In this note we introduce linear regression with basis functions in order to apply Bayesian model selection. The goal is to incorporate Occam's razor as provided by Bayes analysis in order to automatically pick the model optimally able to…

Statistics Theory · Mathematics 2015-12-16 Miguel de Benito Delgado , Philipp Wacker

We apply BayeSN, our new hierarchical Bayesian model for the SEDs of Type Ia supernovae (SNe Ia), to analyse the $griz$ light curves of 157 nearby SNe Ia ($0.015<z<0.08$) from the public Foundation DR1 dataset. We train a new version of…

Astrophysics of Galaxies · Physics 2021-11-01 Stephen Thorp , Kaisey S. Mandel , David O. Jones , Sam M. Ward , Gautham Narayan

Bayesian model selection is a tool to decide whether the introduction of a new parameter is warranted by data. I argue that the usual sampling statistic significance tests for a null hypothesis can be misleading, since they do not take into…

Astrophysics · Physics 2008-11-26 Roberto Trotta

We present a sample of 485 photometrically identified Type Ia supernova candidates mined from the first three years of data of the CFHT SuperNova Legacy Survey (SNLS). The images were submitted to a deferred processing independent of the…

Redshift measurement has always been a constant need in modern astronomy and cosmology. And as new surveys have been providing an immense amount of data on astronomical objects, the need to process such data automatically proves to be…

Instrumentation and Methods for Astrophysics · Physics 2023-03-22 Felipe M F de Oliveira , Marcelo Vargas dos Santos , Ribamar R R Reis

In this paper we advance the simple analytic photometric redshift estimator for Type Ia supernovae (SNe Ia) proposed by Wang (2007), and use it to study simulated SN Ia data. We find that better than 0.5% accuracy in z_phot (with…

Astrophysics · Physics 2009-11-13 Yun Wang , Gautham Narayan , Michael Wood-Vasey

We present a new method based on a Bayesian hierarchical model to extract constraints on cosmological parameters from SNIa data obtained with the SALT-II lightcurve fitter. We demonstrate with simulated data sets that our method delivers…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-10 M. C. March , R. Trotta , P. Berkes , G. D. Starkman , P. M. Vaudrevange

We present a novel method of classifying Type Ia supernovae using convolutional neural networks, a neural network framework typically used for image recognition. Our model is trained on photometric information only, eliminating the need for…

Instrumentation and Methods for Astrophysics · Physics 2021-11-10 Helen Qu , Masao Sako , Anais Möller , Cyrille Doux

The existing set of type Ia supernovae (SNe Ia) is now sufficient to detect oscillatory deviations from the canonical $\Lambda$CDM cosmology. We determine that the Fourier spectrum of the Pantheon data set of spectroscopically well-observed…

Astrophysics of Galaxies · Physics 2019-04-22 Sasha R. Brownsberger , Christopher W. Stubbs , Daniel M. Scolnic

In this work, we show that when supernova Ia (SN Ia) data sets are used to put constraints on the free parameters of inhomogeneous models, certain extra information regarding the light-curve fitter used in the supernovae Ia luminosity…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-15 Gabriel R. Bengochea , Maria E. De Rossi

Using type Ia supernovae as cosmological probes requires empirical corrections that are correlated with their host environment. Here we present a unified Bayesian hierarchical model designed to infer, from purely photometric observations,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-08 Konstantin Karchev , Roberto Trotta , Raul Jimenez