Fisher and DALI posterior approximations for testing gravity with gravitational waves

arXiv:2609.38399 · astro-ph.IM, astro-ph.CO, gr-qc, physics.data-an · Submitted 2026-09-29 · Read on arXiv

astro-ph.IM, astro-ph.CO, gr-qc, physics.data-an

Submitted: 2026-09-29

Updated: 2026-09-29

Code: https://github.com/jmsdsouzaphd/gwdali

Terminology

• Accuracy — 8× in this paper · explained in 1 episode
• Consistency — 2× in this paper · explained in 3 episodes
• Higher-order derivatives — 2× in this paper · explained in 2 episodes
• Cosmic Explorer — 1× in this paper
• EMMA — 1× in this paper · explained in 2 episodes
• Einstein Telescope — 1× in this paper
• Jensen–Shannon Divergence (JSD) — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes

Sources

• The Science of the Einstein Telescope
• A Horizon Study for Cosmic Explorer: Science, Observatories, and Community
• Science with the Einstein Telescope: a comparison of different designs
• Measuring cosmological parameters with galaxy surveys
• Breaking the spell of Gaussianity: forecasting with higher order Fisher matrices
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Gwbench: a novel Fisher information package for gravitational-wave benchmarking
• GWFish: A simulation software to evaluate parameter-estimation capabilities of gravitational-wave detector networks
• $\texttt{GWFAST}$: a Fisher information matrix Python code for third-generation gravitational-wave detectors
• Detectability and Parameter Estimation for Einstein Telescope Configurations with GWJulia
• On the use of the Derivative Approximation for Likelihoods for Gravitational Wave Inference
• Inadequacies of the Fisher Information Matrix in gravitational-wave parameter estimation
• Detection, Measurement and Gravitational Radiation
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Extending the Fisher Information Matrix in Gravitational-wave Data Analysis
• RNLE: Residual neural likelihood estimation and its application to gravitational-wave astronomy
• GWDALI: A Fisher-matrix based software for gravitational wave parameter-estimation beyond Gaussian approximation
• Validating Prior-informed Fisher-matrix Analyses against GWTC Data
• Pushing spectral siren cosmology into the third-generation era: a blinded mock data challenge
• TIGER: A data analysis pipeline for testing the strong-field dynamics of general relativity with gravitational wave signals from coalescing compact binaries

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