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A Hybrid Framework Integrating Past Decomposable Mixing and Inverted Transformer for GNSS-Based Landslide

Jinhua Wu1, Chengdu Cao1, Liang Fei1

  • 1China Railway Siyuan Survey and Design Group Co., Ltd., Wuhan 430063, China.

Sensors (Basel, Switzerland)
|October 16, 2025
PubMed
Summary

This study introduces a hybrid model for predicting landslide displacement using Past Decomposable Mixing (PDM) and an inverted Transformer (iTransformer). The novel framework accurately forecasts complex ground movement, enhancing geohazard early warning systems.

Keywords:
GNSS displacement monitoringattention-based neural networkslandslide displacement predictionmultiscale time series modelingtime series decomposition

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Area of Science:

  • Geosciences
  • Geotechnical Engineering
  • Data Science

Background:

  • Landslide displacement prediction is crucial for geohazard early warning and infrastructure safety.
  • Global Navigation Satellite System (GNSS) time series data present challenges due to nonstationary, nonlinear, and multiscale behaviors.
  • Accurate modeling of these complex behaviors is essential for reliable predictions.

Purpose of the Study:

  • To develop a hybrid prediction framework (PDM-iTransformer) for modeling complex landslide displacement.
  • To effectively handle nonstationary, nonlinear, and multiscale characteristics in GNSS time series data.
  • To improve the accuracy and robustness of landslide displacement predictions.

Main Methods:

  • A hybrid framework integrating Past Decomposable Mixing (PDM) and an inverted Transformer (iTransformer) was proposed.
  • The PDM module decomposes time series into multi-resolution components, enhancing feature representation.
  • The iTransformer models individual time series with cross-variable self-attention for latent dependency capture and feed-forward networks for local feature extraction.

Main Results:

  • The PDM-iTransformer framework demonstrated superior performance compared to traditional models.
  • Coefficient of determination (R²) increased by 16.2-48.3%.
  • Root Mean Square Error (RMSE) and Mean Absolute Error (MAE) were reduced by up to 1.33 mm and 1.08 mm, respectively.

Conclusions:

  • The proposed PDM-iTransformer framework is effective and robust for predicting landslide displacement in complex terrain.
  • The hybrid approach successfully models both long-term trends and short-term fluctuations in GNSS data.
  • This advancement contributes significantly to geohazard early warning and infrastructure safety.