### Abstract

Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component masses, sky location, distance, etc.) requires computing millions of waveforms. The computational expense of parameter estimation is dominated by waveform generation and scales linearly with the waveform computational cost. Previous work showed that gravitational waveforms from nonspinning compact binary sources are amenable to a truncated singular value decomposition, which allows them to be reconstructed via interpolation at fixed computational cost. However, the accuracy requirement for parameter estimation is typically higher than for searches, so it is crucial to ascertain that interpolation does not lead to significant errors. Here we provide a proof of principle to show that interpolated waveforms can be used to recover posterior probability density functions with negligible loss in accuracy with respect to noninterpolated waveforms. This technique has the potential to significantly increase the efficiency of parameter estimation.

Original language | English |
---|---|

Article number | 122002 |

Number of pages | 7 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 87 |

Issue number | 12 |

DOIs | |

Publication status | Published - 4 Jun 2013 |

### Keywords

- gravitational waves
- gravitational self-force
- black holes (astronomy)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*87*(12), [122002]. https://doi.org/10.1103/PhysRevD.87.122002

}

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 87, no. 12, 122002. https://doi.org/10.1103/PhysRevD.87.122002

**Towards rapid parameter estimation on gravitational waves from compact binaries using interpolated waveforms.** / Smith, R. J.E.; Cannon, K.; Hanna, C.; Keppel, D.; Mandel, I.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Towards rapid parameter estimation on gravitational waves from compact binaries using interpolated waveforms

AU - Smith, R. J.E.

AU - Cannon, K.

AU - Hanna, C.

AU - Keppel, D.

AU - Mandel, I.

PY - 2013/6/4

Y1 - 2013/6/4

N2 - Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component masses, sky location, distance, etc.) requires computing millions of waveforms. The computational expense of parameter estimation is dominated by waveform generation and scales linearly with the waveform computational cost. Previous work showed that gravitational waveforms from nonspinning compact binary sources are amenable to a truncated singular value decomposition, which allows them to be reconstructed via interpolation at fixed computational cost. However, the accuracy requirement for parameter estimation is typically higher than for searches, so it is crucial to ascertain that interpolation does not lead to significant errors. Here we provide a proof of principle to show that interpolated waveforms can be used to recover posterior probability density functions with negligible loss in accuracy with respect to noninterpolated waveforms. This technique has the potential to significantly increase the efficiency of parameter estimation.

AB - Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component masses, sky location, distance, etc.) requires computing millions of waveforms. The computational expense of parameter estimation is dominated by waveform generation and scales linearly with the waveform computational cost. Previous work showed that gravitational waveforms from nonspinning compact binary sources are amenable to a truncated singular value decomposition, which allows them to be reconstructed via interpolation at fixed computational cost. However, the accuracy requirement for parameter estimation is typically higher than for searches, so it is crucial to ascertain that interpolation does not lead to significant errors. Here we provide a proof of principle to show that interpolated waveforms can be used to recover posterior probability density functions with negligible loss in accuracy with respect to noninterpolated waveforms. This technique has the potential to significantly increase the efficiency of parameter estimation.

KW - gravitational waves

KW - gravitational self-force

KW - black holes (astronomy)

UR - http://www.scopus.com/inward/record.url?scp=84879100250&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.87.122002

DO - 10.1103/PhysRevD.87.122002

M3 - Article

VL - 87

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 12

M1 - 122002

ER -