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DualTCN: A Physics-Constrained Temporal Convolutional Net...
Khaled Ahmed · 2026-05-07 · via cs.LG updates on arXiv.org

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Abstract:DualTCN is the first deep-learning framework for inverting time-domain marine controlled-source electromagnetic (MCSEM) transient data. Moving away from traditional subsurface discretization, the framework regresses four earth-model parameters -- $\sigma_1$, $\sigma_2$, $d_1$, $d_2$ -- and reconstructs conductivity-depth profiles using a differentiable soft-step decoder. The optimized architecture (379K parameters) features a Temporal Convolutional Network (TCN) encoder paired with a late-time branch and an auxiliary seafloor-depth head. This design achieves a 25.3\% loss reduction over baseline models, with high predictive accuracy ($R^2 = 0.898$ for $\sigma_2$) and an inversion speed of 3.5~ms per sample on an A100 GPU.
The framework demonstrates high robustness to noise through curriculum-based amplitude augmentation, maintaining a mean $\bar{R}^2$ of 0.858 at $\pm2\%$ random amplitude error, compared to $0.363$ without augmentation. DualTCN generalizes effectively to three-layer extensions (seawater/resistive layer/basement), accurately resolving basement conductivity ($R^2 \approx 0.88$), though thin-layer resolution remains a physical limitation ($R^2 \approx 0.23$).
In comparative benchmarks, DualTCN significantly outperforms traditional local optimization methods like Levenberg-Marquardt and L-BFGS-B, yielding a mean $\bar{R}^2 = 0.877$ versus 0.129-0.439 for multi-start baselines, while operating at up to 21,000$\times$ lower computational cost. Finally, the framework incorporates uncertainty quantification via Monte Carlo (MC) Dropout. While well-calibrated for $\sigma_1$ (PICP90 = 0.944), inherent signal limitations at short offsets (200m) lead to under-coverage for $d_2$ (PICP90 = 0.572), which can be mitigated through post-hoc temperature scaling or split conformal prediction.
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2605.04997 [cs.LG]
  (or arXiv:2605.04997v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.04997

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Khaled Ahmed [view email]
[v1] Wed, 6 May 2026 14:58:17 UTC (6,834 KB)