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PreprintCC BY 4.0arXiv

Scenario-conditioned flow matching for probabilistic generation of three-component ground-motion waveforms

Abstract

Performance-based seismic risk assessment requires three-component acceleration histories compatible with specified source, path, and site conditions. Conventional ground-motion prediction equations provide scalar intensity measures, while many generative waveform models learn amplitude and waveform shape within a single high-dimensional target. We present WaveFlowGMM, a two-stage probabilistic ground-motion model that uses peak ground acceleration (PGA) as an amplitude interface between scenario conditioning and waveform generation. The amplitude stage uses physics-informed symbolic learning to estimate component-wise PGA medians and a full cross-component covariance. The waveform stage uses few-step AlphaFlow in an invertible wavelet-packet coefficient space to generate normalised three-component histories that are rescaled by sampled PGA. Tests on an event-level NGA-West2 holdout set show that the generated motions recover the main magnitude, distance, and site scaling, keep peak and spectral residuals close to zero, preserve three-component amplitude dependence, and yield velocity and displacement histories without systematic drift after integration of the generated three-component acceleration histories. The framework provides an interpretable and computationally efficient candidate component for waveform-level seismic hazard and risk analysis.

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BibTeX
@misc{ding2026scenarioconditioned,
  title = {{Scenario-conditioned flow matching for probabilistic generation of three-component ground-motion waveforms}},
  author = {Yi Ding and Jinjun Hu and Su Chen and Xianwei Liu and Zhongxiang Zhang and Zongchao Li and Xiaojun Li and Lili Xie},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.31340},
  eprint = {2606.31340},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.31340},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Scenario-conditioned flow matching for probabilistic generation of three-component ground-motion waveforms
AU  - Yi Ding
AU  - Jinjun Hu
AU  - Su Chen
AU  - Xianwei Liu
AU  - Zhongxiang Zhang
AU  - Zongchao Li
AU  - Xiaojun Li
AU  - Lili Xie
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2606.31340
UR  - https://arxiv.org/abs/2606.31340
AB  - Performance-based seismic risk assessment requires three-component acceleration histories compatible with specified source, path, and site conditions. Conventional ground-motion prediction equations provide scalar intensity measures, while many generative waveform models learn amplitude and waveform shape within a single high-dimensional target. We present WaveFlowGMM, a two-stage probabilistic ground-motion model that uses peak ground acceleration (PGA) as an amplitude interface between scenario conditioning and waveform generation. The amplitude stage uses physics-informed symbolic learning to estimate component-wise PGA medians and a full cross-component covariance. The waveform stage uses few-step AlphaFlow in an invertible wavelet-packet coefficient space to generate normalised three-component histories that are rescaled by sampled PGA. Tests on an event-level NGA-West2 holdout set show that the generated motions recover the main magnitude, distance, and site scaling, keep peak and spectral residuals close to zero, preserve three-component amplitude dependence, and yield velocity and displacement histories without systematic drift after integration of the generated three-component acceleration histories. The framework provides an interpretable and computationally efficient candidate component for waveform-level seismic hazard and risk analysis.
ER  -