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基于贝叶斯优化与分类提升模型的多光谱遥感测深

Multispectral remote sensing bathymetry based on Bayesian optimization and CatBoost model

  • 摘要: 浅海区域是当前航运、生产生活、工程建设、资源开发与管理的重要区域,如何经济、高效、准确地获取其深度数据,已成为一个迫切需要解决的难题。为了提高多光谱遥感测深的精度并减少参数调整中的人为干扰,本研究提出了一种基于贝叶斯优化超参数的分类提升模型(Bayesian Optimization CatBoost, BO-CatBoost),并在三亚南山港与万宁大洲岛两类典型近岸水域开展遥感测深实验。该方法构建了包括学习率(learning rate)、最大深度(depth)、迭代次数(iterations)、L2正则化系数在内的超参数搜索空间,并引入多目标贝叶斯优化策略,联合优化模型的拟合度与误差表现。通过归一化决定系数、平均绝对误差、均方根误差和平均相对误差 4种性能指标,采用反比权重动态构建目标函数,实现多指标间的自适应权衡。实验结果表明,该方法在有限计算资源下可高效获取最优超参数组合,显著提升模型在浑浊近岸水体中的测深精度与稳定性。在三亚南山港,BO-CatBoost 模型的 R2、MAE、RMSE 和 MRE 分别达到 0.98、0.32 m、0.68 m 和 4.51%;在万宁大洲岛分别为 0.97、0.46 m、0.85 m 和 5.55%,均优于常用的 Stumpf 模型、随机森林模型和未优化的 CatBoost 模型,且在不同水深范围内均表现稳定。该研究为浅水遥感测深提供了高精度、低人工干预的技术方案,对大范围海岸带测深及工程应用具有重要参考价值。

     

    Abstract: Shallow coastal waters are critical zones for navigation, engineering, resource development, and environmental management. Acquiring accurate depth data in these areas economically and efficiently remains a pressing challenge. To improve the accuracy of multispectral remote sensing bathymetry and reduce human intervention in parameter tuning, this study proposes a CatBoost model optimized via Bayesian hyperparameter tuning (BO-CatBoost). Bathymetric inversion experiments were conducted in two representative nearshore environments: Nanshan Port in Sanya and Dazhou Island in Wanning. The method establishes a hyperparameter search space including learning rate, maximum tree depth, number of iterations, and L2 regularization coefficient, and applies a multi-objective Bayesian optimization strategy to optimize model fit and error metrics simultaneously. Using four performance metrics—the coefficient of determination (R2), mean absolute error (MAE), root mean square error (RMSE), and mean relative error (MRE) —a dynamically weighted objective function based on inverse weights was constructed to achieve an adaptive trade-off among multiple indicators. Results show that the proposed approach efficiently determines optimal hyperparameters under limited computational resources, significantly improving bathymetric accuracy and robustness in turbid nearshore waters. In Nanshan Port, the BO-CatBoost model achieved R2, MAE, RMSE, and MRE values of 0.98, 0.32 m, 0.68 m, and 4.51%, respectively. In Dazhou Island, the corresponding values were 0.97, 0.46 m, 0.85 m, and 5.55%. The results outperform those of commonly used models such as Stumpf, random forest, and unoptimized CatBoost, maintaining stable performance across different depth ranges. This work provides a high-precision, low-intervention technical solution for shallow-water bathymetry, with practical value for large-scale coastal mapping and engineering applications.

     

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