Improving the scalability of Gaussian-process error marginalization in gravitational-wave inference
arXiv:2307.07233 · doi:10.1103/PhysRevD.108.103027
Abstract
The accuracy of Bayesian inference can be negatively affected by the use of inaccurate forward models. In the case of gravitational-wave inference, accurate but computationally expensive waveform models are sometimes substituted with faster but approximate ones. The model error introduced by this substitution can be mitigated in various ways, one of which is by interpolating and marginalizing over the error using Gaussian process regression. However, the use of Gaussian process regression is limited by the curse of dimensionality, which makes it less effective for analyzing higher-dimensional parameter spaces and longer signal durations. In this work, to address this limitation, we focus on gravitational-wave signals from extreme-mass-ratio inspirals as an example, and propose several significant improvements to the base method: an improved prescription for constructing the training set, GPU-accelerated training algorithms, and a new likelihood that better adapts the base method to the presence of detector noise. Our results suggest that the new method is more viable for the analysis of realistic gravitational-wave data.
References in corpus (34)
- emcee: The MCMC Hammer
- TianQin: a space-borne gravitational wave detector
- Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
- Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
- The construction and use of LISA sensitivity curves
- Angular Resolution of the LISA Gravitational Wave Detector
- Science with the space-based interferometer eLISA. I: Supermassive black hole binaries
- The promise of multi-band gravitational wave astronomy
- A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
- The TianQin project: current progress on science and technology
- Prospects for detection of detached double white dwarf binaries with Gaia, LSST and LISA
- LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
- FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
- The LISA-Taiji network
- Science with the TianQin Observatory: Preliminary results on Galactic double white dwarf binaries
- Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
- Gravitational waveforms for compact binaries from second-order self-force theory
- Second-order self-force calculation of the gravitational binding energy in compact binaries
- The Fast and the Fiducial: Augmented kludge waveforms for detecting extreme-mass-ratio inspirals
- Science with the TianQin observatory: Preliminary results on massive black hole binaries
- Gravitational-wave energy flux for compact binaries through second order in the mass ratio
- Science with the TianQin observatory: Preliminary results on stellar-mass binary black holes
- LISA extreme-mass-ratio inspiral events as probes of the black hole mass function
- Science with the TianQin observatory: Preliminary result on extreme-mass-ratio inspirals
- Optimal filtering of the LISA data
- Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
- The NINJA-2 project: Detecting and characterizing gravitational waveforms modelled using numerical binary black hole simulations
- Improving gravitational-wave parameter estimation using Gaussian process regression
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Calculation of radiation reaction effect on orbital parameters in Kerr spacetime
- Novel Method for Incorporating Model Uncertainties into Gravitational Wave Parameter Estimates
- Fast methods for training Gaussian processes on large data sets
- 2 Fast 2 Fiducial: Gaussian processes for the interpolation and marginalization of waveform error in extreme-mass-ratio-inspiral parameter estimation
- Augmented kludge waveforms and Gaussian process regression for EMRI data analysis