The Shape of Eccentricity: Rapid Classification of Eccentric Binaries with the Wavelet Scattering Transform

arXiv:2602.24079 · gr-qc, astro-ph.HE · Submitted 2026-02-27 · Read on arXiv

gr-qc, astro-ph.HE

Submitted: 2026-02-27

Updated: 2026-08-26

Comments: 17 pages, 10 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• AUC — 22× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Embeddings — 3× in this paper · explained in 2 episodes
• Wavelet Transform — 3× in this paper · explained in 2 episodes
• Bayesian Inference — 2× in this paper · explained in 5 episodes
• Calibration — 2× in this paper · explained in 7 episodes
• Core — 2× in this paper · explained in 2 episodes
• Signal-to-noise ratio (SNR) — 2× in this paper · explained in 2 episodes
• Transformer — 2× in this paper · explained in 2 episodes
• Activation Function — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Admissibility — 1× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 3 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Fast Fourier Transform — 1× in this paper
• Feature Extraction — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Temporal Correlations — 1× in this paper · explained in 2 episodes

Sources

• GWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run
• GWTC-4.0: Population Properties of Merging Compact Binaries
• Gravitational-wave Observations Suggest Most Black Hole Mergers Form in Triples
• Gravitational-wave constraints on the pair-instability mass gap and nuclear burning in massive stars
• A subpopulation of low-mass, spinning black holes: signatures of dynamical assembly
• Evidence for eccentricity in the population of binary black holes observed by LIGO-Virgo-KAGRA
• Orbital eccentricity in a neutron star - black hole merger
• Parameter estimation for the GWTC-4.0 catalog with phenomenological waveform models that include orbital eccentricity and an updated description of spin precession
• Biased parameter inference of eccentric, spin-precessing binary black holes
• Misinterpreting Spin Precession as Orbital Eccentricity in Gravitational-Wave Signals
• Astrophysical Implications of Eccentricity in Gravitational Waves from Neutron Star-Black Hole Binaries
• Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
• SEOBNRv5PHM: Next generation of accurate and efficient multipolar precessing-spin effective-one-body waveforms for binary black holes

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