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A Novel Bayesian Geophysical Inversion Method to Address Loss Function Bias: The Iterative Normalizing Flow Model
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  • Binbin Liao,
  • Xiaodong Chen,
  • Jianqiao Xu,
  • Jiangcun Zhou,
  • Heping Sun
Binbin Liao
Innovation Academy for Precision Measurement Science and Technology, CAS
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Xiaodong Chen
Chinese Academy of Sciences Innovation Academy for Precision Measurement Science and Technology

Corresponding Author:[email protected]

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Jianqiao Xu
Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Science
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Jiangcun Zhou
State Key Laboratory of Geodesy and Earth's Dynamics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences
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Heping Sun
Innovation Academy for Precision Measurement Science and Technology, CAS
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Abstract

jabbrv-ltwa-all.ldf jabbrv-ltwa-en.ldf Geophysical inversion plays a pivotal role in understanding the Earth’s internal structure. Recently generative neural networks (GNNs), such as normalizing flow models (NFMs), have gained popularity for solving Bayesian inversion problems. However, their effectiveness is often hindered by the loss function bias. This bias occurs due to the global nature of loss functions in NFMs, which lead to inaccuracies when applied to geophysical inversion, where the Earth model is unique. To address this, we propose the Iterative Normalizing Flow Model(INFM), a novel approach that mitigates loss function bias by progressively narrowing the prior distribution’s support set in each iteration, while ensuring that the posterior distribution accurately converges to the target. Our experiments, validated on high-dimensional Bayesian inversion tasks, show that INFM significantly enhances inversion accuracy without increasing network complexity or computational cost. When applied to the Earth’s 1-D structure model inversion, our method revealed key insights, such as a lower core density compared to the PREM model and the presence of anisotropy in both the mantle and core, consistent with previous studies. These findings suggest that the INFM method offer high computational efficiency and accuracy, making it well-suited for large-scale geophysical inversion problems.
19 Oct 2024Submitted to ESS Open Archive
21 Oct 2024Published in ESS Open Archive