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Gravitational wave parameter estimation with compressed likelihood evaluations

Canizares, Priscilla and Field, Scott E. and Gair, Jonathan R. and Tiglio, Manuel (2013) Gravitational wave parameter estimation with compressed likelihood evaluations. Physical Review D, 87 (12). Art. No. 124005 . ISSN 2470-0010. doi:10.1103/PhysRevD.87.124005.

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One of the main bottlenecks in gravitational wave (GW) astronomy is the high cost of performing parameter estimation and GW searches on the fly. We propose a novel technique based on reduced order quadratures (ROQs), an application and data-specific quadrature rule, to perform fast and accurate likelihood evaluations. These are the dominant cost in Markov chain Monte Carlo algorithms, which are widely employed in parameter estimation studies, and so ROQs offer a new way to accelerate GW parameter estimation. We illustrate our approach using a four-dimensional GW burst model embedded in noise. We build an ROQ for this model and perform four-dimensional Markov chain Monte Carlo searches with both the standard and ROQ rules, showing that, for this model, the ROQ approach is around 25 times faster than the standard approach with essentially no loss of accuracy. The speed-up from using ROQs is expected to increase for more complex GW signal models and therefore has significant potential to accelerate parameter estimation of GW sources such as compact binary coalescences.

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Additional Information:© 2013 American Physical Society. Received 2 April 2013; published 5 June 2013. This work was supported in part by NSF Grants No. PHY1208861 and No. PHY1005632 to the University of Maryland. P. C.’s work is supported by a Marie Curie Intra-European Fellowship within the 7th European Community Framework Programme (PIEF-GA-2011-299190), and she thanks the University of Maryland for hospitality while part of this work was completed. S. E. F. acknowledges support from the Joint Space Science Institute. J. R. G.’s work is supported by the Royal Society. M. T. thanks the National Institute for Theoretical Physics (NiTheP) at Stellenbosch University, South Africa, where part of this work was done, for its hospitality. We thank Chad Galley and Jason Kaye for helpful discussions and comments on the manuscript. We also thank Harbir Antil, Collin Capano, Philip Graff, Frank Herrmann, Tyson Littenberg, Ilya Mandel, Evan Ochsner, Ricardo Nochetto, and Rory Smith for helpful and insightful discussions.
Funding AgencyGrant Number
Marie Curie Intra-European FellowshipUNSPECIFIED
7th European Community Framework ProgrammePIEF-GA-2011-299190
Joint Space Science InstituteUNSPECIFIED
Issue or Number:12
Classification Code:PACS: 04.30.-w, 04.80.Nn
Record Number:CaltechAUTHORS:20130712-111148490
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39342
Deposited By: Tony Diaz
Deposited On:15 Jul 2013 22:02
Last Modified:09 Nov 2021 23:44

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