Fast Likelihood-free Reconstruction of Gravitational Wave Backgrounds

Abstract

We apply state-of-the-art, likelihood-free statistical inference (machine-learning-based) techniques for reconstructing the spectral shape of a gravitational wave background (GWB). We focus on the reconstruction of an arbitrarily shaped signal by the LISA detector, but the method can be easily extended to either template-dependent signals, or to other detectors, as long as a characterisation of the instrumental noise is available. As proof of the technique, we quantify the ability of LISA to reconstruct signals of arbitrary spectral shape ($blind$ reconstruction), considering a diversity of frequency profiles, and including astrophysical backgrounds in some cases. As a teaser of how the method can reconstruct signals characterised by a parameter-dependent template ($template$ reconstruction), we present a dedicated study for power-law signals. While our technique has several advantages with respect to traditional MCMC methods, we validate it with the latter for concrete cases. This work opens the door for both fast and accurate Bayesian parameter estimation of GWBs, with essentially no computational overhead during the inference step. Our set of tools are integrated into the package $\mathtt{GWBackFinder}$, which is publicly available in https://github.com/AndronikiDimitriou/GWBackFinder.

Published in JCAP. 29 pages plus appendices and references, 12 figures

References in corpus (73)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• Laser Interferometer Space Antenna
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Gravitational Wave Production by Collisions: More Bubbles
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• Upper Limits on the Isotropic Gravitational-Wave Background from Advanced LIGO's and Advanced Virgo's Third Observing Run
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• The NANOGrav 15-year Data Set: Constraints on Supermassive Black Hole Binaries from the Gravitational Wave Background
• The TianQin project: current progress on science and technology
• Theory and Numerics of Gravitational Waves from Preheating after Inflation
• Gravitational wave generation from bubble collisions in first-order phase transitions: an analytic approach
• A Gravitational Wave Background from Reheating after Hybrid Inflation
• N-flationary magnetic fields
• A stochastic background of gravitational waves from hybrid preheating
• Stochastic gravitational wave background from smoothed cosmic string loops
• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• Relating gravitational wave constraints from primordial nucleosynthesis, pulsar timing, laser interferometers, and the CMB: implications for the early universe
• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• Primordial Gravitational Waves from Axion-Gauge Fields Dynamics
• Gravitational Waves from Abelian Gauge Fields and Cosmic Strings at Preheating
• The LISA-Taiji network
• Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --
• The Mock LISA Data Challenges: from Challenge 3 to Challenge 4
• NANOGrav Signal from the End of Inflation and the LIGO Mass and Heavier Primordial Black Holes
• Exact Scale-Invariant Background of Gravitational Waves from Cosmic Defects
• Gravitational Waves as a Big Bang Thermometer
• Primordial gravitational waves in the nano-Hertz regime and PTA data -- towards solving the GW inverse problem
• Cosmological Background Interpretation of Pulsar Timing Array Data
• Search for anisotropic gravitational-wave backgrounds using data from Advanced LIGO and Advanced Virgo's first three observing runs
• Limits on scalar-induced gravitational waves from the stochastic background by pulsar timing array observations
• Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
• Gravitational Wave and CMB Probes of Axion Kination
• Gravitational Waves from Global Cosmic Strings and Cosmic Archaeology
• Gravitational Waves from Oscillons with Cuspy Potentials
• Gravitational wave production from preheating: parameter dependence
• Mid-band gravitational wave detection with precision atomic sensors
• Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered
• A Nearly Scale Invariant Spectrum of Gravitational Radiation from Global Phase Transitions
• Can supercooled phase transitions explain the gravitational wave background observed by pulsar timing arrays?
• QCD-Collapsed Domain Walls: QCD Phase Transition and Gravitational Wave Spectroscopy
• Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets
• Fast and Credible Likelihood-Free Cosmology with Truncated Marginal Neural Ratio Estimation
• Very Hairy Inflation
• Uncovering gravitational-wave backgrounds from noises of unknown shape with LISA
• Precision cosmology and the stiff-amplified gravitational-wave background from inflation: NANOGrav, Advanced LIGO-Virgo and the Hubble tension
• LISA Definition Study Report
• Axion-Gauge Dynamics During Inflation as the Origin of Pulsar Timing Array Signals and Primordial Black Holes
• Freezing-In Gravitational Waves
• Footprints of Axion-Like Particle in Pulsar Timing Array Data and James Webb Space Telescope Observations
• Cosmic strings from pure Yang-Mills theory
• A Trust Crisis In Simulation-Based Inference? Your Posterior Approximations Can Be Unfaithful
• A LISA Data-Analysis Primer
• SICRET: Supernova Ia Cosmology with truncated marginal neural Ratio EsTimation
• Estimating the warm dark matter mass from strong lensing images with truncated marginal neural ratio estimation
• Cosmic F- and D-strings from pure Yang-Mills theory
• Primordial magnetic field as a common solution of nanohertz gravitational waves and the Hubble tension
• Gravitational wave production from preheating with trilinear interactions
• A weakly-parametric approach to stochastic background inference in LISA
• A simulation-based inference pipeline for cosmic shear with the Kilo-Degree Survey
• "Stairway to Heaven" -- Spectroscopy of Particle Couplings with Gravitational Waves
• Debiasing Standard Siren Inference of the Hubble Constant with Marginal Neural Ratio Estimation
• What to do when things get crowded? Scalable joint analysis of overlapping gravitational wave signals
• Towards reconstructing the halo clustering and halo mass function of N-body simulations using neural ratio estimation

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• The Science of the Einstein Telescope
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