arXiv:2511.12642gr-qcastro-ph.IM2025-11

用自编码器加速引力波波形生成,速度提升万倍以上。

Auto-encoder model for faster generation of effective one-body gravitational waveform approximations

  • 采用先进自编码架构,拟合对齐自旋的SEOBNRv4波形。
  • 每秒生成上千波形,单个波形仅需50微秒,快4个数量级。
  • 适合高通量近似波形需求,如快速定位引力波源。

下一代引力波探测器灵敏度大幅提升,将带来更密集的致密天体并合事件。为在更大参数空间内快速估计源参数,需加速理论波形计算以提升参数估计效率,支持多信使快速跟进。本文采用Liao & Lin (2021)表现最佳的自编码器架构,对对齐自旋的SEOBNRv4 inspiral-merger-ringdown波形进行近似。参数空间包含质量 $m_1, m_2$(范围 $[5,75] m M_igodot$,质量比上限 $10 m M_igodot$)和有效自旋 $χ_1(z), χ_2(z)$(均匀分布于 $[-0.99,0.99]$)。模型可在GPU上以平均约50微秒/波形的速度生成 $10^3$ 个波形,耗时约0.1秒,较原生SEOBNRv4快约4个数量级,较现有非机器学习加速版本快2–3个数量级。测试集波形中位失配约为 $10^{-2}$,在 $χ_{ m eff} \∈ [-0.80,0.80]$ 的受限参数空间内性能更优。模型潜在采样误差的中位失配标准差为 $4\times10^{-3}$。尽管当前精度尚不足以完全投入生产,但可适用于需大量近似波形的场景,如快速天空定位。

原文摘要 · Abstract (English)

Upgrades to current gravitational wave detectors for the next observation run and upcoming third-generation observatories, like the Einstein telescope, are expected to have enormous improvements in detection sensitivities and compact object merger event rates. Estimation of source parameters for a wider parameter space that these detectable signals will lie in, will be a computational challenge. Thus, it is imperative to have methods to speed-up the likelihood calculations with theoretical waveform predictions, which can ultimately make the parameter estimation faster and aid in rapid multi-messenger follow-ups. In this work we study auto-encoder models for gravitational waveform generation by adopting the best-performing architecture of Liao & Lin (2021) to approximate aligned-spin SEOBNRv4 inspiral-merger-ringdown waveforms. Our parameter space consists of four parameters, [$m_1$, $m_2$, $χ_1(z)$, $χ_2(z)$]. The masses are uniformly sampled in $[5,75]\,M_{\odot}$ with a mass ratio limit at $10\,M_{\odot}$, while the spins are uniform in $[-0.99,0.99]$. Our model is able to generate $10^3$ waveforms in $\sim 0.1$ second at an average speed of about 50 microsecond per waveform on a GPU. This is about 4 orders of magnitude faster than the native SEOBNRv4 implementation, and 2--3 orders of magnitude faster than existing non-machine-learning accelerated waveform variants. The median mismatch for the generated waveforms in the test dataset is $\sim10^{-2}$, with better performance in a restricted parameter space of $χ_{\rm eff}\in[-0.80,0.80]$. The latent sampling error of our model can be quantified at a median mismatch standard deviation of $4\times10^{-3}$. Although the accuracy of our model does not enable full production-use yet, the model could be useful wherever high-volume of approximate theoretical waveforms are required, for instance, for rapid sky localization.

引力波自编码器波形生成加速计算

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