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    Deep learning powered numerical relativity surrogate for binary black hole waveforms

    Osvaldo Gramaxo Freitas1,2,*, Anastasios Theodoropoulos2, Nino Villanueva3,2, Tiago Fernandes1,2, Solange Nunes1, José A. Font2,4, Antonio Onofre1, Alejandro Torres-Forné2,4, and José D. Martin-Guerrero3,5

    • 1Centro de Física das Universidades do Minho e do Porto (CF-UM-UP), Universidade do Minho, 4710–057 Braga, Portugal
    • 2Departamento de Astronomía y Astrofísica, Universitat de València, Doctor Moliner 50, 46100, Burjassot (València), Spain
    • 3IDAL, Electronic Engineering Department, ETSE-UV, University of Valencia, Avgda. Universitat s/n, 46100 Burjassot, Valencia, Spain
    • 4Observatori Astronòmic, Universitat de València, Catedrático José Beltrán 2, 46980, Paterna (València), Spain
    • 5Valencian Graduate School and Research Network of Artificial Intelligence (ValgrAI), Camí de Vera S/N, Edificio 3 46022 Valencia

    • *Contact author: osgrade@alumni.uv.es

    Phys. Rev. D 112, 043026 – Published 25 August, 2025

    DOI: https://doi.org/10.1103/7bkx-hs53

    Abstract

    Gravitational-wave (GW) approximants are essential for gravitational-wave astronomy, allowing the coverage of the binary black hole parameter space for inference or match filtering without costly numerical relativity (NR) simulations but generally trading some accuracy for computational efficiency. To reduce this trade-off, NR surrogate models can be constructed using interpolation within NR waveform space. We present a two-stage training approach for neural network-based NR surrogate models. We initially train four models on waveforms generated from four different GW approximants and then fine-tune these models on NR data. We show that despite the median mismatches of the pretrained models with NR ranging over two orders of magnitude, the fine-tuned models all reach median mismatches of order 10−5, on par with top-performing NR surrogates. The dual-stage artificial neural surrogate (DANSur3dq8) models also offer rapid waveform generation, with millions of waveforms being generated in under 20 ms on a GPU. Implemented in the bilby framework, we show DANSur3dq8 can be used for parameter estimation tasks.

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