Fast prediction and evaluation of eccentric inspirals using reduced-order models

Abstract

A large number of theoretically predicted waveforms are required by matched-filtering searches for the gravitational-wave signals produced by compact binary coalescence. In order to substantially alleviate the computational burden in gravitational-wave searches and parameter estimation without degrading the signal detectability, we propose a novel reduced-order-model (ROM) approach with applications to adiabatic 3PN-accurate inspiral waveforms of sources that evolve on either highly or slightly eccentric orbits. We provide a singular-value decomposition-based reduced-basis method in the frequency domain to generate reduced-order approximations of any gravitational waves with acceptable accuracy and precision within the parameter range of the model. We construct efficient reduced bases comprised of a relatively small number of the most relevant waveforms over 3-dimensional parameter-space covered by the template bank (total mass $2.15M_{\odot }\le M\le 215M_{\odot }$, mass ratio $0.01\le q\le 1$, and initial orbital eccentricity $0\le e_0\le 0.95$). The ROM is designed to predict signals in the frequency band from 10 Hz to 2 kHz for aLIGO and aVirgo design sensitivity. Beside moderating the data reduction, finer sampling of fiducial templates improves the accuracy of surrogates. Considerable increase in the speedup from several hundreds to thousands can be achieved by evaluating surrogates for low-mass systems especially when combined with high-eccentricity.

References in corpus (43)

• Physics, Astrophysics and Cosmology with Gravitational Waves
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
• FINDCHIRP: an algorithm for detection of gravitational waves from inspiraling compact binaries
• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement
• Secular evolution of compact binaries near massive black holes: gravitational wave sources and other exotica
• A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
• Systematic parameter errors in inspiraling neutron star binaries
• The Formation of Eccentric Compact Binary Inspirals and the Role of Gravitational Wave Emission in Binary-Single Stellar Encounters
• Fast prediction and evaluation of gravitational waveforms using surrogate models
• Frequency domain reduced order models for gravitational waves from aligned-spin compact binaries
• Post-Circular Expansion of Eccentric Binary Inspirals: Fourier-Domain Waveforms in the Stationary Phase Approximation
• Frequency domain reduced order model of aligned-spin effective-one-body waveforms with generic mass-ratios and spins
• Parameter estimation for compact binary coalescence signals with the first generation gravitational-wave detector network
• A stochastic template placement algorithm for gravitational wave data analysis
• Short gamma-ray bursts from dynamically-assembled compact binaries in globular clusters: pathways, rates, hydrodynamics and cosmological setting
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• Accelerated gravitational-wave parameter estimation with reduced order modeling
• Improving the sensitivity of a search for coalescing binary black holes with non-precessing spins in gravitational wave data
• The Cosmic Coalescence Rates for Double Neutron Star Binaries
• Singular value decomposition applied to compact binary coalescence gravitational-wave signals
• Search for Gravitational Waves from Binary Black Hole Inspiral, Merger and Ringdown in LIGO-Virgo Data from 2009-2010
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• A Generalized Empirical Interpolation Method: application of reduced basis techniques to data assimilation
• Gravitational waves from inspiralling compact binaries: hexagonal template placement and its efficiency in detecting physical signals
• Reduced basis catalogs for gravitational wave templates
• The Effect of Eccentricity on Searches for Gravitational-Waves from Coalescing Compact Binaries in Ground-based Detectors
• Comparing gravitational waves from nonprecessing and precessing black hole binaries in the corotating frame
• Gravitational wave parameter estimation with compressed likelihood evaluations
• Gravitational waves from eccentric compact binaries: Reduction in signal-to-noise ratio due to nonoptimal signal processing
• An algorithm for detection of extreme mass ratio inspirals in LISA data
• Filtering post-Newtonian gravitational waves from coalescing binaries
• Numerical simulations of compact object binaries
• Measuring intermediate mass black hole binaries with advanced gravitational wave detectors
• Efficiently enclosing the compact binary parameter space by singular-value decomposition
• Towards Rapid Parameter Estimation on Gravitational Waves from Compact Binaries using Interpolated Waveforms
• Inspiral of Generic Black Hole Binaries: Spin, Precession, and Eccentricity
• Towards beating the curse of dimensionality for gravitational waves using Reduced Basis
• Interpolating compact binary waveforms using the singular value decomposition
• Gravitational waves from spinning eccentric binaries
• Template-space metric for searches for gravitational waves from the inspiral, merger and ringdown of binary black holes

Cited by in corpus (5)

• Gravitational-wave surrogate models powered by artificial neural networks: The ANN-Sur for waveform generation
• Reduced Order and Surrogate Models for Gravitational Waves
• Eccentricity signatures in LIGO-Virgo-KAGRA's BNS and NSBH binaries
• Neutron Stars in the Effective Fly-By Framework: $f$-Mode Re-summation
• Comparing eccentric waveform models based on post-Newtonian and effective-one-body approaches, over an observationally relevant parameter space