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Main Authors: Ding, Yi, Chen, Su, Hu, Jinjun, Hu, Xiaohu, Zhao, Qingxu, Li, Xiaojun
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.07405
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author Ding, Yi
Chen, Su
Hu, Jinjun
Hu, Xiaohu
Zhao, Qingxu
Li, Xiaojun
author_facet Ding, Yi
Chen, Su
Hu, Jinjun
Hu, Xiaohu
Zhao, Qingxu
Li, Xiaojun
contents Temporal energy distribution strongly affects nonlinear structural response and cumulative damage. We propose a multi-conditional diffusion framework for ground motion synthesis that simultaneously matches temporal energy evolution and target response spectra. Wavelet packet decomposition provides the signal representation and enables direct waveform reconstruction via orthogonal filter banks. A Transformer-based conditional encoder with cross-attention integrates heterogeneous conditions, including spectral ordinates, Arias intensity, temporal parameters, and Husid curves. The framework adopts the Elucidating Diffusion Model (EDM) with second-order Heun sampling to improve inference efficiency without sacrificing quality. Tests on the NGA-West2 database show that explicit temporal-energy constraints markedly improve control of energy onset and significant duration while preserving spectrum matching and maintaining stable diversity sampling. The framework yields spectrum-compatible motions with realistic energy evolution and supports uncertainty quantification via conditional diversity sampling.
format Preprint
id arxiv_https___arxiv_org_abs_2602_07405
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Wavelet Packet-Based Diffusion Model for Ground Motion Generation with Multi-Conditional Energy and Spectral Matching
Ding, Yi
Chen, Su
Hu, Jinjun
Hu, Xiaohu
Zhao, Qingxu
Li, Xiaojun
Geophysics
Temporal energy distribution strongly affects nonlinear structural response and cumulative damage. We propose a multi-conditional diffusion framework for ground motion synthesis that simultaneously matches temporal energy evolution and target response spectra. Wavelet packet decomposition provides the signal representation and enables direct waveform reconstruction via orthogonal filter banks. A Transformer-based conditional encoder with cross-attention integrates heterogeneous conditions, including spectral ordinates, Arias intensity, temporal parameters, and Husid curves. The framework adopts the Elucidating Diffusion Model (EDM) with second-order Heun sampling to improve inference efficiency without sacrificing quality. Tests on the NGA-West2 database show that explicit temporal-energy constraints markedly improve control of energy onset and significant duration while preserving spectrum matching and maintaining stable diversity sampling. The framework yields spectrum-compatible motions with realistic energy evolution and supports uncertainty quantification via conditional diversity sampling.
title Wavelet Packet-Based Diffusion Model for Ground Motion Generation with Multi-Conditional Energy and Spectral Matching
topic Geophysics
url https://arxiv.org/abs/2602.07405