Multi-MLP-Mixer based surrogate model for seismic ground-motion with spatial source and geological parameters

Seismic ground-motion simulations provide high-fidelity predictions but are computationally prohibitive for large-scale scenario analyses. Surrogate models based on Multi-Layer Perceptrons (MLPs) or Fourier Neural Operators (FNOs) have been studied, yet each has limitations: MLPs fail to capture spatial correlations, while FNOs incur high costs from repeated Fourier transforms on full-resolution grids. To overcome these issues, we propose a surrogate model based on the MLP-Mixer architecture that operates on a patch grid, enabling efficient extraction of global spatial correlations. In addition, we introduce a multi-stream design with source and geology inputs fused through a learnable element-wise multi-modal mixer, allowing period-dependent, data-driven fusion of modalities. Experiments on Nankai Trough simulations demonstrate that the proposed method, referred to as Multi-MLP-Mixer, achieves accuracy comparable to state-of-the-art surrogate models while reducing training and inference time, thereby balancing predictive performance with computational efficiency.

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Publication Details

Journal
Machine Learning with Applications
Published
2026-01-30
DOI
https://doi.org/10.1016/j.mlwa.2026.100855
Primary Topic
Seismic Performance and Analysis
Type
article
Field-Weighted Citation Impact
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article

Multi-MLP-Mixer based surrogate model for seismic ground-motion with spatial source and geological parameters

Takahiro Maeda, Yuto Kuroki, Hirotaka Hachiya, Hiroyuki Fujiwara et al.
Machine Learning with Applications
Seismic Performance and Analysis
article

Multi-MLP-Mixer based surrogate model for seismic ground-motion with spatial source and geological parameters

Takahiro Maeda, Yuto Kuroki, Hirotaka Hachiya, Hiroyuki Fujiwara, Naonori Ueda, Asako Iwaki
article en

Abstract

Seismic ground-motion simulations provide high-fidelity predictions but are computationally prohibitive for large-scale scenario analyses. Surrogate models based on Multi-Layer Perceptrons (MLPs) or Fourier Neural Operators (FNOs) have been studied, yet each has limitations: MLPs fail to capture spatial correlations, while FNOs incur high costs from repeated Fourier transforms on full-resolution grids. To overcome these issues, we propose a surrogate model based on the MLP-Mixer architecture that operates on a patch grid, enabling efficient extraction of global spatial correlations. In addition, we introduce a multi-stream design with source and geology inputs fused through a learnable element-wise multi-modal mixer, allowing period-dependent, data-driven fusion of modalities. Experiments on Nankai Trough simulations demonstrate that the proposed method, referred to as Multi-MLP-Mixer, achieves accuracy comparable to state-of-the-art surrogate models while reducing training and inference time, thereby balancing predictive performance with computational efficiency.

Machine Learning with ApplicationsVol. 23
Openalex Percentile: Top 72%
Seismic Performance and Analysis
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