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Multivariate Regression Analysis of Gravitational Waves from Rotating Core Collapse

Engels, William J. and Frey, Raymond and Ott, Christian D. (2014) Multivariate Regression Analysis of Gravitational Waves from Rotating Core Collapse. Physical Review D, 90 . Art. 124026. ISSN 2470-0010.

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We present a new multivariate regression model for analysis and parameter estimation of gravitational waves observed from well but not perfectly modeled sources such as core-collapse supernovae. Our approach is based on a principal component decomposition of simulated waveform catalogs. Instead of reconstructing waveforms by direct linear combination of physically meaningless principal components, we solve via least squares for the relationship that encodes the connection between chosen physical parameters and the principal component basis. Although our approach is linear, the waveforms' parameter dependence may be non-linear. For the case of gravitational waves from rotating core collapse, we show, using statistical hypothesis testing, that our method is capable of identifying the most important physical parameters that govern waveform morphology in the presence of simulated detector noise. We also demonstrate our method's ability to predict waveforms from a principal component basis given a set of physical progenitor parameters.

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Ott, Christian D.0000-0003-4993-2055
Additional Information:© 2014 American Physical Society. Received 15 June 2014; published 8 December 2014. We acknowledge helpful discussions with and help from members of the LIGO Scientific Collaboration and Virgo Collaboration Supernova Working Group, in particular Sarah Gossan, I. Siong Heng, and Nelson Christensen. BE and RF are supported in part by NSF grant PHY-1205952. CDO is partially supported by NSF CAREER grant PHY-1151197, NSF gravitational physics grant PHY-0904015, The Sherman Fairchild Foundation, and the Alfred P. Sloan Foundation. Some of the computation performed towards the results presented here used NSF XSEDE computing resources under award TGPHY100033.
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Sherman Fairchild FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
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Classification Code:PACS numbers: 04.30.-w, 05.45.Tp, 97.60.Bw
Record Number:CaltechAUTHORS:20150112-142914130
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:53584
Deposited By: Joy Painter
Deposited On:13 Jan 2015 18:04
Last Modified:09 Mar 2020 13:19

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