Multivariate Regression Analysis of Gravitational Waves from Rotating Core Collapse

التفاصيل البيبلوغرافية
العنوان: Multivariate Regression Analysis of Gravitational Waves from Rotating Core Collapse
المؤلفون: Engels, William J., Frey, Raymond, Ott, Christian D.
المصدر: Phys. Rev. D 90, 124026 (2014)
سنة النشر: 2014
المجموعة: Astrophysics
General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology, Astrophysics - High Energy Astrophysical Phenomena
الوصف: 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.
Comment: 21 pages, 12 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.90.124026
URL الوصول: http://arxiv.org/abs/1406.1164
رقم الأكسشن: edsarx.1406.1164
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.90.124026