The Effect of Different Optimization Strategies to Physics-Constrained Deep Learning for Soil Moisture Estimation (2403.08154v1)
Abstract: Soil moisture is a key hydrological parameter that has significant importance to human society and the environment. Accurate modeling and monitoring of soil moisture in crop fields, especially in the root zone (top 100 cm of soil), is essential for improving agricultural production and crop yield with the help of precision irrigation and farming tools. Realizing the full sensor data potential depends greatly on advanced analytical and predictive domain-aware models. In this work, we propose a physics-constrained deep learning (P-DL) framework to integrate physics-based principles on water transport and water sensing signals for effective reconstruction of the soil moisture dynamics. We adopt three different optimizers, namely Adam, RMSprop, and GD, to minimize the loss function of P-DL during the training process. In the illustrative case study, we demonstrate the empirical convergence of Adam optimizers outperforms the other optimization methods in both mini-batch and full-batch training.
- L. A. Richards, “Capillary conduction of liquids through porous mediums,” Physics, vol. 1, no. 5, pp. 318–333, 1931.
- E. Buckingham, “Studies on the movement of soil moisture,” 1907.
- M. Raissi, P. Perdikaris, and G. E. Karniadakis, “Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,” Journal of Computational physics, vol. 378, pp. 686–707, 2019.
- J. Xie and B. Yao, “Physics-constrained deep learning for robust inverse ecg modeling,” IEEE Transactions on Automation Science and Engineering, 2022.
- T. Bandai and T. A. Ghezzehei, “Physics-informed neural networks with monotonicity constraints for richardson-richards equation: Estimation of constitutive relationships and soil water flux density from volumetric water content measurements,” Water Resources Research, vol. 57, no. 2, p. e2020WR027642, 2021.
- M. T. Van Genuchten, “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils,” Soil science society of America journal, vol. 44, no. 5, pp. 892–898, 1980.
- A. Paszke, S. Gross, S. Chintala, G. Chanan, E. Yang, Z. DeVito, Z. Lin, A. Desmaison, L. Antiga, and A. Lerer, “Automatic differentiation in pytorch,” 2017.
- D. P. Kingma and J. Ba, “Adam: A method for stochastic optimization,” arXiv preprint arXiv:1412.6980, 2014.