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Fast neural network surrogate for multimodal effective-one-body gravitational waveforms from generically precessing compact binaries

Christopher Whittall and Geraint Pratten

  • Institute for Gravitational Wave Astronomy and School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom

Phys. Rev. D 114, 084042 – Published 14 October, 2026

DOI: https://doi.org/10.1103/qt1n-gbv2

Abstract

Gravitational waveform templates are a key ingredient for the detection and characterization of gravitational waves emitted by compact binary mergers in the Universe. These templates must be physically accurate and extensive, but also highly computationally efficient, two requirements that are often in tension. One solution to this problem is the development of surrogate models, which are fast, data-driven models trained to predict the output of a slower, physically realistic waveform model. In this article we build on existing work to incorporate machine learning techniques into the conventional reduced order surrogate framework, with a focus on extending coverage to waveform models that describe generically precessing quasicircular binaries. In particular, we present SEOBNRv5PHM_NNSur7dq10, a reduced order neural network surrogate of the SEOBNRv5PHM waveform model, valid up to mass ratios 1∶10 for precessing quasicircular binary black hole systems with arbitrary spin magnitudes and orientations. The faithfulness of the surrogate to SEOBNRv5PHM is validated, and the surrogate is successfully applied to Bayesian parameter inference using both real and injected gravitational wave data. The surrogate is approximately five times faster than SEOBNRv5PHM when evaluating a single waveform on a central processing unit, and nearly 1000 times faster per waveform when amortizing the cost over large waveform batches on a graphics processing unit.

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References (127)

  1. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Observation of gravitational waves from a binary black hole merger, Phys. Rev. Lett. 116, 061102 (2016).
  2. N. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), GWTC-5.0: Observations from the second part of the fourth LIGO-Virgo-KAGRA observing run and updates to the gravitational-wave transient catalog, arXiv:2605.27225.
  3. LIGO Scientific, Virgo, and KAGRA Collaborations, LIGO, Virgo and KAGRA Observing Run Plans (2026), https://observing.docs.ligo.org/plan/.
  4. M. Punturo et al., The Einstein Telescope: A third-generation gravitational wave observatory, Classical Quantum Gravity 27, 194002 (2010).
  5. M. Branchesi et al., Science with the Einstein Telescope: A comparison of different designs, J. Cosmol. Astropart. Phys. 07 (2023) 068.
  6. A. Abac et al. (ET Collaboration), The science of the Einstein Telescope, J. Cosmol. Astropart. Phys. 03 (2026) 081.
  7. D. Reitze et al., Cosmic Explorer: The U.S. contribution to gravitational-wave astronomy beyond LIGO, Bull. Am. Astron. Soc. 51, 035 (2019), arXiv:1907.04833.
  8. M. Evans et al., Cosmic explorer: A submission to the NSF MPSAC ngGW subcommittee, arXiv:2306.13745.
  9. M. Colpi et al. (LISA Collaboration), LISA Definition Study Report (2024), arXiv:2402.07571.
  10. T. A. Apostolatos, C. Cutler, G. J. Sussman, and K. S. Thorne, Spin induced orbital precession and its modulation of the gravitational wave forms from merging binaries, Phys. Rev. D 49, 6274 (1994).
  11. A. Vecchio, LISA observations of rapidly spinning massive black hole binary systems, Phys. Rev. D 70, 042001 (2004),
  12. K. Chatziioannou, N. Cornish, A. Klein, and N. Yunes, Spin-precession: Breaking the black hole–neutron star degeneracy, Astrophys. J. Lett. 798, L17 (2015).
  13. G. Pratten, P. Schmidt, R. Buscicchio, and L. M. Thomas, Measuring precession in asymmetric compact binaries, Phys. Rev. Res. 2, 043096 (2020).
  14. G. Pratten et al., Computationally efficient models for the dominant and subdominant harmonic modes of precessing binary black holes, Phys. Rev. D 103, 104056 (2021).
  15. J. E. Thompson, E. Hamilton, L. London, S. Ghosh, P. Kolitsidou, C. Hoy, and M. Hannam, PhenomXO4a: A phenomenological gravitational-wave model for precessing black-hole binaries with higher multipoles and asymmetries, Phys. Rev. D 109, 063012 (2024).
  16. E. Hamilton et al., PhenomXPNR: An improved gravitational wave model linking precessing inspirals and NR-calibrated merger-ringdown, arXiv:2507.02604.
  17. S. E. Field, C. R. Galley, F. Herrmann, J. S. Hesthaven, E. Ochsner, and M. Tiglio, Reduced basis catalogs for gravitational wave templates, Phys. Rev. Lett. 106, 221102 (2011).
  18. S. E. Field, C. R. Galley, J. S. Hesthaven, J. Kaye, and M. Tiglio, Fast prediction and evaluation of gravitational waveforms using surrogate models, Phys. Rev. X 4, 031006 (2014).
  19. M. Pürrer, Frequency domain reduced order models for gravitational waves from aligned-spin compact binaries, Classical Quantum Gravity 31, 195010 (2014).
  20. J. Blackman, S. E. Field, C. R. Galley, B. Szilágyi, M. A. Scheel, M. Tiglio, and D. A. Hemberger, Fast and accurate prediction of numerical relativity waveforms from binary black hole coalescences using surrogate models, Phys. Rev. Lett. 115, 121102 (2015).
  21. J. Blackman, S. E. Field, M. A. Scheel, C. R. Galley, D. A. Hemberger, P. Schmidt, and R. Smith, A surrogate model of gravitational waveforms from numerical relativity simulations of precessing binary black hole mergers, Phys. Rev. D 95, 104023 (2017).
  22. C. R. Galley and P. Schmidt, Fast and efficient evaluation of gravitational waveforms via reduced-order spline interpolation, arXiv:1611.07529.
  23. V. Varma, S. E. Field, M. A. Scheel, J. Blackman, D. Gerosa, L. C. Stein, L. E. Kidder, and H. P. Pfeiffer, Surrogate models for precessing binary black hole simulations with unequal masses, Phys. Rev. Res. 1, 033015 (2019).
  24. N. J. Cornish, Fast Fisher matrices and lazy likelihoods, arXiv:1007.4820.
  25. B. Zackay, L. Dai, and T. Venumadhav, Relative binning and fast likelihood evaluation for gravitational wave parameter estimation, arXiv:1806.08792.
  26. N. Leslie, L. Dai, and G. Pratten, Mode-by-mode relative binning: Fast likelihood estimation for gravitational waveforms with spin-orbit precession and multiple harmonics, Phys. Rev. D 104, 123030 (2021).
  27. S. Vinciguerra, J. Veitch, and I. Mandel, Accelerating gravitational wave parameter estimation with multi-band template interpolation, Classical Quantum Gravity 34, 115006 (2017).
  28. S. Morisaki, Accelerating parameter estimation of gravitational waves from compact binary coalescence using adaptive frequency resolutions, Phys. Rev. D 104, 044062 (2021).
  29. P. Canizares, S. E. Field, J. R. Gair, and M. Tiglio, Gravitational wave parameter estimation with compressed likelihood evaluations, Phys. Rev. D 87, 124005 (2013).
  30. P. Canizares, S. E. Field, J. Gair, V. Raymond, R. Smith, and M. Tiglio, Accelerated gravitational-wave parameter estimation with reduced order modeling, Phys. Rev. Lett. 114, 071104 (2015).
  31. R. Smith, S. E. Field, K. Blackburn, C.-J. Haster, M. Pürrer, V. Raymond, and P. Schmidt, Fast and accurate inference on gravitational waves from precessing compact binaries, Phys. Rev. D 94, 044031 (2016).
  32. J. Tissino, G. Carullo, M. Breschi, R. Gamba, S. Schmidt, and S. Bernuzzi, Combining effective-one-body accuracy and reduced-order-quadrature speed for binary neutron star merger parameter estimation with machine learning, Phys. Rev. D 107, 084037 (2023).
  33. A. J. K. Chua and M. Vallisneri, Learning Bayesian posteriors with neural networks for gravitational-wave inference, Phys. Rev. Lett. 124, 041102 (2020).
  34. M. Dax, S. R. Green, J. Gair, J. H. Macke, A. Buonanno, and B. Schölkopf, Real-time gravitational wave science with neural posterior estimation, Phys. Rev. Lett. 127, 241103 (2021).
  35. M. Dax, S. R. Green, J. Gair, N. Gupte, M. Pürrer, V. Raymond, J. Wildberger, J. H. Macke, A. Buonanno, and B. Schölkopf, Real-time inference for binary neutron star mergers using machine learning, Nature (London) 639, 49 (2025).
  36. Q. Hu, J. Irwin, Q. Sun, C. Messenger, L. Suleiman, I. S. Heng, and J. Veitch, Decoding long-duration gravitational waves from neutron stars with machine learning: Parameter estimation and equations of state, Astrophys. J. Lett. 987, L17 (2025).
  37. Q. Hu, Hierarchical subtraction with neural density estimators as a general solution to overlapping gravitational wave signals, arXiv:2507.05209.
  38. A. Ramos-Buades, A. Buonanno, H. Estellés, M. Khalil, D. P. Mihaylov, S. Ossokine, L. Pompili, and M. Shiferaw, Next generation of accurate and efficient multipolar precessing-spin effective-one-body waveforms for binary black holes, Phys. Rev. D 108, 124037 (2023).
  39. M. Barrault, Y. Maday, N. C. Nguyen, and A. T. Patera, An ‘empirical interpolation’ method: Application to efficient reduced-basis discretization of partial differential equations, C. R. Math. 339, 667 (2004).
  40. Y. Maday, N. C. Nguyen, A. T. Patera, and S. Pau, A general multipurpose interpolation procedure: The magic points, Commun. Pure Appl. Anal. 8, 383 (2009).
  41. A. J. K. Chua, C. R. Galley, and M. Vallisneri, Reduced-order modeling with artificial neurons for gravitational-wave inference, Phys. Rev. Lett. 122, 211101 (2019).
  42. S. Khan and R. Green, Gravitational-wave surrogate models powered by artificial neural networks, Phys. Rev. D 103, 064015 (2021).
  43. L. M. Thomas, G. Pratten, and P. Schmidt, Accelerating multimodal gravitational waveforms from precessing compact binaries with artificial neural networks, Phys. Rev. D 106, 104029 (2022).
  44. S.-C. Fragkouli, P. Nousi, N. Passalis, P. Iosif, N. Stergioulas, and A. Tefas, Deep residual error and bag-of-tricks learning for gravitational wave surrogate modeling, Appl. Soft Comput. 147, 110746 (2023).
  45. O. Gramaxo Freitas, A. Theodoropoulos, N. Villanueva, T. Fernandes, S. Nunes, J. A. Font, A. Onofre, A. Torres-Forné, and J. D. Martin-Guerrero, Deep learning powered numerical relativity surrogate for binary black hole waveforms, Phys. Rev. D 112, 043026 (2025).
  46. L. E. Kidder, Coalescing binary systems of compact objects to postNewtonian 5/2 order. V. Spin effects, Phys. Rev. D 52, 821 (1995).
  47. P. Schmidt, I. W. Harry, and H. P. Pfeiffer, Numerical relativity injection infrastructure, arXiv:1703.01076.
  48. P. Schmidt, M. Hannam, S. Husa, and P. Ajith, Tracking the precession of compact binaries from their gravitational-wave signal, Phys. Rev. D 84, 024046 (2011).
  49. P. Schmidt, M. Hannam, and S. Husa, Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals, Phys. Rev. D 86, 104063 (2012).
  50. M. Boyle, R. Owen, and H. P. Pfeiffer, A geometric approach to the precession of compact binaries, Phys. Rev. D 84, 124011 (2011).
  51. D. P. Mihaylov, S. Ossokine, A. Buonanno, H. Estelles, L. Pompili, M. Pürrer, and A. Ramos-Buades, pySEOBNR: A software package for the next generation of effective-one-body multipolar waveform models, SoftwareX 30, 102080 (2025).
  52. M. Boyle, L. E. Kidder, S. Ossokine, and H. P. Pfeiffer, Gravitational-wave modes from precessing black-hole binaries, arXiv:1409.4431.
  53. A. Ramos-Buades, P. Schmidt, G. Pratten, and S. Husa, Validity of common modeling approximations for precessing binary black holes with higher-order modes, Phys. Rev. D 101, 103014 (2020).
  54. H. Estellés, A. Buonanno, R. Enficiaud, C. Foo, and L. Pompili, Adding equatorial-asymmetric effects for spin-precessing binaries into the SEOBNRv5PHM waveform model, Phys. Rev. D 113, 044049 (2026).
  55. K. S. Thorne, Multipole expansions of gravitational radiation, Rev. Mod. Phys. 52, 299 (1980).
  56. R. O’Shaughnessy, B. Vaishnav, J. Healy, Z. Meeks, and D. Shoemaker, Efficient asymptotic frame selection for binary black hole spacetimes using asymptotic radiation, Phys. Rev. D 84, 124002 (2011).
  57. M. Boyle, Angular velocity of gravitational radiation from precessing binaries and the corotating frame, Phys. Rev. D 87, 104006 (2013).
  58. L. N. Trefethen and D. Bau III, Numerical Linear Algebra, Other Titles in Applied Mathematics, Vol. 50 (SIAM, Philadelphia, 1997).
  59. C. J. Moore, C. P. L. Berry, A. J. K. Chua, and J. R. Gair, Improving gravitational-wave parameter estimation using Gaussian process regression, Phys. Rev. D 93, 064001 (2016).
  60. V. Varma, D. Gerosa, L. C. Stein, F. Hébert, and H. Zhang, High-accuracy mass, spin, and recoil predictions of generic black-hole merger remnants, Phys. Rev. Lett. 122, 011101 (2019).
  61. D. Williams, I. S. Heng, J. Gair, J. A. Clark, and B. Khamesra, Precessing numerical relativity waveform surrogate model for binary black holes: A Gaussian process regression approach, Phys. Rev. D 101, 063011 (2020).
  62. T. Islam, V. Varma, J. Lodman, S. E. Field, G. Khanna, M. A. Scheel, H. P. Pfeiffer, D. Gerosa, and L. E. Kidder, Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: Comparable mass, nonspinning case, Phys. Rev. D 103, 064022 (2021).
  63. L. M. Thomas, K. Chatziioannou, V. Varma, and S. E. Field, Optimizing neural network surrogate models: Application to black hole merger remnants, Phys. Rev. D 111, 104029 (2025).
  64. J. Bergstra, R. Bardenet, Y. Bengio, and B. Kégl, Algorithms for hyper-parameter optimization, in Advances in Neural Information Processing Systems, edited by J. Shawe-Taylor, R. Zemel, P. Bartlett, F. Pereira, and K. Weinberger (Curran Associates, Inc., Red Hook, NY, 2011), Vol. 24.
  65. J. Bergstra, D. Yamins, and D. Cox, Making a science of model search: Hyperparameter optimization in hundreds of dimensions for vision architectures, in Proceedings of the 30th International Conference on Machine Learning, Proceedings of Machine Learning Research, Vol. 28 (PMLR, Atlanta, GA, 2013), pp. 115–123.
  66. LIGO Scientific, Virgo, and KAGRA Collaborations, LVK Algorithm Library—LALSuite, Free software (GPL) (2018).
  67. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Prospects for observing and localizing gravitational-wave transients with Advanced LIGO and Advanced Virgo, Living Rev. Relativity 19, 1 (2016).
  68. B. P. Abbott et al. (LIGO Scientific Collaboration), Exploring the sensitivity of next generation gravitational wave detectors, Classical Quantum Gravity 34, 044001 (2017).
  69. B. J. Owen and B. S. Sathyaprakash, Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement, Phys. Rev. D 60, 022002 (1999).
  70. A. Nitz et al. (2024) gwastro/pycbc: v2.3.3 release of pycbc.
  71. P. Virtanen et al. (scipy 1.0 Contributors), scipy 1.0: Fundamental algorithms for scientific computing in python, Nat. Methods 17, 261 (2020).
  72. I. Harry, S. Privitera, A. Bohé, and A. Buonanno, Searching for gravitational waves from compact binaries with precessing spins, Phys. Rev. D 94, 024012 (2016).
  73. L. Lindblom, B. J. Owen, and D. A. Brown, Model waveform accuracy standards for gravitational wave data analysis, Phys. Rev. D 78, 124020 (2008).
  74. S. T. McWilliams, B. J. Kelly, and J. G. Baker, Observing mergers of non-spinning black-hole binaries, Phys. Rev. D 82, 024014 (2010).
  75. M. Hannam, S. Husa, F. Ohme, and P. Ajith, Length requirements for numerical-relativity waveforms, Phys. Rev. D 82, 124052 (2010).
  76. E. Baird, S. Fairhurst, M. Hannam, and P. Murphy, Degeneracy between mass and spin in black-hole-binary waveforms, Phys. Rev. D 87, 024035 (2013).
  77. K. Chatziioannou, A. Klein, N. Yunes, and N. Cornish, Constructing gravitational waves from generic spin-precessing compact binary inspirals, Phys. Rev. D 95, 104004 (2017).
  78. A. Toubiana and J. R. Gair, Indistinguishability criterion and estimating the presence of biases, arXiv:2401.06845.
  79. J. E. Thompson, C. Hoy, E. Fauchon-Jones, and M. Hannam, Use and interpretation of signal-model indistinguishability measures for gravitational-wave astronomy, Phys. Rev. D 112, 064011 (2025).
  80. M. Pürrer and C.-J. Haster, Gravitational waveform accuracy requirements for future ground-based detectors, Phys. Rev. Res. 2, 023151 (2020).
  81. C. R. Harris et al., Array programming with numpy, Nature (London) 585, 357 (2020).
  82. V. Eglajs and P. Audze, New approach to the design of multifactor experiments, Problems Dynamics Strengths 35, 104 (1977).
  83. M. D. McKay, R. J. Beckman, and W. J. Conover, A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics 21, 239 (1979).
  84. M. Abadi et al., TensorFlow: Large-scale machine learning on heterogeneous systems (2015), software available from tensorflow.org.
  85. F. Chollet et al., Keras (2015) https://keras.io.
  86. F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, and E. Duchesnay, Scikit-learn: Machine learning in python, J. Mach. Learn. Res. 12, 2825 (2011).
  87. D. P. Kingma and J. Ba, Adam: A method for stochastic optimization, arXiv:1412.6980.
  88. T. Dozat, Incorporating Nesterov momentum into Adam (2016), https://openreview.net/forum?id=OM0jvwB8jIp57ZJjtNEZ.
  89. L. Bottou, Large-scale machine learning with stochastic gradient descent, in Proceedings of COMPSTAT’2010 (Physica-Verlag HD, Heidelberg, 2010), pp. 177–186.
  90. D.-A. Clevert, T. Unterthiner, and S. Hochreiter, Fast and accurate deep network learning by Exponential Linear Units (ELUs), arXiv:1511.07289.
  91. K. Fukushima, Visual feature extraction by a multilayered network of analog threshold elements, IEEE Trans. Syst. Sci. Cybern. 5, 322 (1969).
  92. V. Nair and G. E. Hinton, Rectified linear units improve restricted Boltzmann machines, in Proceedings of the 27th International Conference on Machine Learning (ICML) (Omnipress, Madison, WI, 2010).
  93. X. Glorot, A. Bordes, and Y. Bengio, Deep sparse rectifier neural networks, in Proceedings of the Fourteenth International Conference on Artificial Intelligence and Statistics, Proceedings of Machine Learning Research, Vol. 15, edited by G. Gordon, D. Dunson, and M. Dudík (PMLR, Fort Lauderdale, FL, 2011), pp. 315–323.
  94. C. Dugas, Y. Bengio, F. Bélisle, C. Nadeau, and R. Garcia, Incorporating second-order functional knowledge for better option pricing, in Advances in Neural Information Processing Systems, Vol. 13, edited by T. Leen, T. Dietterich, and V. Tresp (MIT Press, Cambridge, MA, 2000).
  95. M. Boschini, D. Gerosa, A. Crespi, and M. Falcone, LHS in LHS: A new expansion strategy for Latin hypercube sampling in simulation design, SoftwareX 31, 102294 (2025).
  96. R. Okuta, Y. Unno, D. Nishino, S. Hido, and C. Loomis, CuPy: A numpy-compatible library for NVIDIA GPU calculations, in Proceedings of Workshop on Machine Learning Systems (LearningSys) in The Thirty-first Annual Conference on Neural Information Processing Systems (NIPS), Long Beach, CA (2017).
  97. E. P. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra (Academic Press, New York, 1959).
  98. A. G. Abac et al. (LIGO Scientific, VIRGO, KAGRA Collaborations), GWTC-4.0: Methods for identifying and characterizing gravitational-wave transients, arXiv:2508.18081.
  99. J. Aasi et al. (LIGO Scientific Collaboration), Advanced LIGO, Classical Quantum Gravity 32, 074001 (2015).
  100. M. Evans et al., A horizon study for cosmic explorer: Science, observatories, and community, arXiv:2109.09882.
  101. P. Madau and M. Dickinson, Cosmic star formation history, Annu. Rev. Astron. Astrophys. 52, 415 (2014).
  102. G. Ashton et al., bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy, Astrophys. J. Suppl. Ser. 241, 27 (2019).
  103. J. S. Speagle, dynesty: A dynamic nested sampling package for estimating Bayesian posteriors and evidences, Mon. Not. R. Astron. Soc. 493, 3132 (2020).
  104. P. Ajith et al., Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins, Phys. Rev. Lett. 106, 241101 (2011).
  105. L. Santamaria et al., Matching post-Newtonian and numerical relativity waveforms: Systematic errors and a new phenomenological model for non-precessing black hole binaries, Phys. Rev. D 82, 064016 (2010).
  106. P. Schmidt, F. Ohme, and M. Hannam, Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter, Phys. Rev. D 91, 024043 (2015).
  107. M. Hannam et al., General-relativistic precession in a black-hole binary, Nature (London) 610, 652 (2022).
  108. E. Payne, S. Hourihane, J. Golomb, R. Udall, D. Davis, and K. Chatziioannou, Curious case of GW200129: Interplay between spin-precession inference and data-quality issues, Phys. Rev. D 106, 104017 (2022).
  109. A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), GW250114: Testing Hawking’s area law and the Kerr nature of black holes, Phys. Rev. Lett. 135, 111403 (2025).
  110. E. Racine, Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction, Phys. Rev. D 78, 044021 (2008).
  111. D. Gerosa, M. Mould, D. Gangardt, P. Schmidt, G. Pratten, and L. M. Thomas, A generalized precession parameter χp to interpret gravitational-wave data, Phys. Rev. D 103, 064067 (2021).
  112. W. Farr, B. Farr, and T. Littenberg, Modelling calibration errors in CBC waveforms, Technical Report No. LIGO-T1400682-v1 (LIGO Scientific Collaboration, 2014).
  113. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), GWTC-1: A gravitational-wave transient catalog of compact binary mergers observed by LIGO and Virgo during the first and second observing runs, Phys. Rev. X 9, 031040 (2019).
  114. A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Open Data from LIGO, Virgo, and KAGRA through the first part of the fourth observing run, arXiv:2508.18079.
  115. R. Abbott et al. (KAGRA, Virgo, and LIGO Scientific Collaborations), GWTC-3: Compact binary coalescences observed by LIGO and Virgo during the second part of the third observing run, Phys. Rev. X 13, 041039 (2023).
  116. S. Ossokine et al., Multipolar effective-one-body waveforms for precessing binary black holes: Construction and validation, Phys. Rev. D 102, 044055 (2020).
  117. B. Gadre, M. Pürrer, S. E. Field, S. Ossokine, and V. Varma, Fully precessing higher-mode surrogate model of effective-one-body waveforms, Phys. Rev. D 110, 124038 (2024).
  118. F. Cerino, J. A. Diaz-Pace, and M. Tiglio, An automated parameter domain decomposition approach for gravitational wave surrogates using hp-greedy refinement, Classical Quantum Gravity 40, 205003 (2023).
  119. F. Cerino, J. A. Diaz-Pace, E. A. Tassone, M. Tiglio, and A. Villegas, Hyperparameter optimization of an hp-greedy reduced basis for gravitational wave surrogates, Universe 10, 6 (2024).
  120. A. Maurya, P. Kumar, S. E. Field, C. K. Mishra, P. J. Nee, K. Paul, H. P. Pfeiffer, A. Ravichandran, and V. Varma, Chase orbits, not time: A scalable paradigm for long-duration eccentric gravitational-wave surrogates, arXiv:2510.00116.
  121. P. J. Nee et al., Eccentric binary black holes: A new framework for numerical relativity waveform surrogates, arXiv:2510.00106.
  122. A. Theodoropoulos, N. Villanueva, O. Gramaxo Freitas, T. Fernandes, S. Nunes, A. Torres-Forne, J. A. Font, A. Onofre, and J. D. Martin-Guerrero, An autoencoder-based surrogate waveform model for quasi-circular binary-black-hole mergers, arXiv:2602.00203.
  123. I. M. Romero-Shaw, D. Gerosa, and N. Loutrel, Eccentricity or spin precession? distinguishing subdominant effects in gravitational-wave data, Mon. Not. R. Astron. Soc. 519, 5352 (2023).
  124. G. Morras, G. Pratten, and P. Schmidt, Improved post-Newtonian waveform model for inspiralling precessing-eccentric compact binaries, Phys. Rev. D 111, 084052 (2025).
  125. G. Morras, G. Pratten, and P. Schmidt, Orbital eccentricity in a neutron star—black hole merger, Astrophys. J. Lett. 1000, L2 (2026).
  126. gwosc.org.
  127. G. Ashton, dynesty guide—bilby 2.8 documentation (2019) https://bilby-dev.github.io/bilby/dynesty-guide.html.

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