REVIEW 29 cited by
Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
The Fisher-matrix formalism is used routinely in the literature on gravitational-wave detection to characterize the parameter-estimation performance of gravitational-wave measurements, given parametrized models of the waveforms, and assuming detector noise of known colored Gaussian distribution. Unfortunately, the Fisher matrix can be a poor predictor of the amount of information obtained from typical observations, especially for waveforms with several parameters and relatively low expected signal-to-noise ratios (SNR), or for waveforms depending weakly on one or more parameters, when their priors are not taken into proper consideration. In this paper I discuss these pitfalls; show how they occur, even for relatively strong signals, with a commonly used template family for binary-inspiral waveforms; and describe practical recipes to recognize them and cope with them. Specifically, I answer the following questions: (i) What is the significance of (quasi-)singular Fisher matrices, and how must we deal with them? (ii) When is it necessary to take into account prior probability distributions for the source parameters? (iii) When is the signal-to-noise ratio high enough to believe the Fisher-matrix result? In addition, I provide general expressions for the higher-order, beyond--Fisher-matrix terms in the 1/SNR expansions for the expected parameter accuracies.
Forward citations
Cited by 29 Pith papers
-
Multiband parameter estimation with phase coherence and extrinsic marginalization: Extracting more information from low-SNR CBC signals in LISA data
A coherent multiband Bayesian parameter estimation method with extrinsic-parameter marginalization extracts useful information from LISA observations of stellar-mass binary black holes down to LISA SNR 3, nearly doubl...
-
Inferring the role of binary neutron star mergers in r-process nucleosynthesis with multi-messenger observations using Cosmic Explorer and Einstein Telescope
A new redshift-correlation technique with third-generation GW detectors can constrain the BNS contribution to cosmic r-process nucleosynthesis to 5-6% precision via Fisher forecasts on mock bright- and dark-siren data.
-
Gravitational-wave Tomography of the Moon: Constraining Lunar Structure with Calibrated Gravitational Waves
A perturbative tomographic framework shows that calibrated gravitational waves can reduce estimation errors on the Moon's elastic parameters by roughly an order of magnitude.
-
Generalized Perturbed Kepler Problem: Gravitational Wave Imprints from Eccentric Compact Binaries
A unified framework for the perturbed Kepler problem derives modified eccentric orbits and gravitational wave imprints from a general perturbed potential, offering a source-specific alternative to post-Newtonian expansions.
-
Secondary spins of extreme mass ratio inspirals: A probe to the formation channels
For eccentric and inclined extreme mass-ratio inspirals, the secondary black hole spin may be measurable to about 0.1 at SNR 20, and high spins would point to the Hills formation channel.
-
Binary neutron stars in the next-generation era: Multi-messenger detection prospects and constraints on the equation of state, mass distribution, and cosmology
With ET (and ET+CE), mock multi-messenger BNS catalogues yield ~40–500 EM counterparts per year and, under ideal recovery, constrain R1.4 to ~0.2 km and H0 to ~1 km s−1 Mpc−1.
-
Assessing the Impact of Instrumental Requirements on the Scientific Performance of the Einstein Telescope
Degrading the Einstein Telescope's sensitivity in specific frequency bands hurts different science goals in predictable ways, but the mission remains scientifically strong even in the worst modelled cases.
-
Residual Galactic binary foreground in LISA stochastic gravitational-wave background inference: source power concentration and spectral degeneracy
Residual Galactic binaries left after catalog-matched recovery inflate the LISA flat-SGWB amplitude uncertainty by 13.6% when their amplitude is marginalized, and would bias it by ~120σ if omitted.
-
Finite signal-to-noise ratio bias in parameter estimation for damped oscillations: cautionary remark about catalog-level black-hole spectroscopy
Damping-time estimates for ringdown signals carry unsuppressed O(ρ^{-2}) positive biases from priors and likelihood geometry, risking false Kerr violations after ~100 events at ρ≈10.
-
PTA-Compatible Domain Walls at LISA and Taiji: Bayesian Reconstruction and Multiband Inference
Bayesian multiband analysis shows LISA and Taiji reconstruct PTA-compatible domain wall parameters in the strong-signal regime, with joint PTA priors reducing 10D degeneracies.
-
A unified harmonic framework for dark siren cosmology
The GW-galaxy cross-correlation method, unified with spectral sirens in a harmonic framework, can measure H0 to 1% and Omega_m to 5% precision with 2 years of data from next-generation detectors like Einstein Telescop...
-
Photon counting readout for detection and inference of gravitational waves from neutron star merger remnants
Photon counting readout detects weak postmerger gravitational wave signals at a rate of about 1 in 100 for SNR 0.2 and yields a twofold improvement in neutron star radius measurement after 20,000 events.
-
Detectability and Parameter Estimation for Einstein Telescope Configurations with GWJulia
A new open-source Julia tool forecasts Einstein Telescope parameter-estimation accuracy, finding the 2L45 design marginally best for single parameters but comparable to other layouts when joint precision is required.
-
Enhancing Early Detection and Localization of Gravitational Waves via Eccentricity-Induced Higher Harmonic Modes with 2G Detector Networks
Eccentricity-induced higher harmonics allow binary neutron star gravitational wave signals to reach detection thresholds and achieve useful localization several minutes earlier in 2G detector networks than circular signals.
-
Decoding Long-duration Gravitational Waves from Binary Neutron Stars with Machine Learning: Parameter Estimation and Equations of State
Normalizing flows with multibanding, heterodyning, and neural compression can produce BNS parameter posteriors and EOS constraints for 3G-detector signals in about a second, with accuracy restored by importance sampling.
-
Probing dark matter halo profiles with multi-band observations of gravitational waves
A Fisher-matrix forecast shows that the proposed deci-Hz space detector GWSat would constrain dark matter spike density and slope around intermediate-mass ratio inspirals to sub-percent accuracy, while third-generatio...
-
Massive scalar fields in eccentric regime: Detectability and constraints from LISA observations of extreme mass-ratio inspirals
Computes scalar and tensor fluxes for eccentric EMRIs with massive scalars, quantifies dephasing, and shows via Fisher matrix that LISA can constrain scalar charge and mass.
-
Constraining Kerr supermassive black hole properties using gravitational waves from inspiraling stellar-mass binary black holes
LISA observations of inspiraling stellar-mass BBHs around SMBHs can achieve relative uncertainties of 10^{-5} for SMBH mass and a few percent for spin in high-SNR cases.
-
Inspiral tests of general relativity and waveform geometry
The power of ppE-style GR tests comes from waveform geometry: GR parameter biases absorb most of any smooth phase deviation, and SVD finds the few orthogonal directions that remain.
-
On the use of the Derivative Approximation for Likelihoods for Gravitational Wave Inference
DALI extends the Fisher Matrix to higher orders and approximates MCMC posteriors for GW events at 55 times lower cost, with singlet-DALI offering better accuracy and the GWDALI code providing automatic differentiation...
-
Impact of facility timing and coordination for next-generation gravitational-wave detectors
Simulations of ET and CE networks show delays degrade localization metrics far more than SNR, with LIGO India greatly reducing the impact for multi-messenger and stochastic searches.
-
Multi-band observation of lensed gravitational waves as a probe of small-mass dark matter halos
Using Fisher forecasts, the paper shows that joint ET and DECIGO observations of one lensed gravitational wave can break the degeneracy between lens mass, impact parameter, and halo core size.
-
Characterizing the Properties and Constitution of Compact Objects in Gravitational-Wave Binaries
Tidal heating imprints from black hole horizons can be captured by two effective parameters and modeled through merger, offering a future test to distinguish black holes from exotic horizonless objects.
-
Full-Covariance Bayesian Inference of Stochastic Gravitational Wave Background with Time-Domain Simulations for Taiji-like Missions
A full-covariance Bayesian pipeline that combines time-domain TDI simulations with a frequency-domain likelihood recovers injected stochastic gravitational-wave backgrounds for a Taiji-like mission, though its detecto...
-
Mapping the star formation peak with LIGO A# and Next-Generation detectors
Simulations show LIGO-A# constrains the peak redshift of binary black hole merger rate (tracing star formation) to ±0.1 in one year, improving to ±0.02 with next-generation detectors.
-
Spin-induced Quadrupole Moment (SIQM) Test for Eccentric Compact Binaries
A Fisher-matrix forecast for Cosmic Explorer finds that orbital eccentricity improves the measurable precision of the spin-induced quadrupole parameter kappa_s from ~18% (circular) to ~8% at e0=0.2 and ~4% at e0=0.4 f...
-
Primordial black holes versus their impersonators at gravitational wave observatories
Fisher-matrix forecasts show Cosmic Explorer and Einstein Telescope can probe sub-solar PBHs to z~3 and distinguish PBHs from neutron stars up to z~0.2 via lack of tidal deformability.
-
Validating Prior-informed Fisher-matrix Analyses against GWTC Data
Fisher-matrix methods in GWFish match LIGO/Virgo posteriors reasonably when priors are included, with prior impact scaling with parameter degeneracy, supporting their use for ET forecasts.
-
Science with the Einstein Telescope: a comparison of different designs
The paper evaluates how triangular versus two-L-shaped geometries, arm lengths, and presence of low-frequency instruments affect the science reach of the Einstein Telescope for compact binaries, multi-messenger events...
Discussion (0). Continue with ORCID to comment.