Application of ensemble learning models on ship radiation noise prediction
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摘要: 船舶多振动源产生的辐射噪声, 严重影响民船舒适性与军舰隐身性能。准确预测其辐射噪声水平与分布, 可为船舶设计阶段的减振降噪优化提供关键支撑。针对船舶振动源数量多以及噪声辐射机制复杂的问题, 文中首先采用集成算法中的随机森林(RF)与梯度提升树(GBDT)算法, 对不同工况、不同测点的1/3倍频程噪声声压级开展快速预报, 并与贝叶斯岭回归(Bayesian Ridge Regression)模型的预报效果进行对比验证。4种测试工况的验证结果显示, 集成算法在3种工况下的预报效果优于贝叶斯岭回归, 平均绝对误差均小于5 dB; 进一步对上述模型进行优化, 通过在不同层次构建集成算法与线性算法的基础单元并组合, 形成辐射噪声联合预报方案, 其精度较单一集成算法提升1.5 dB。文中研究提出的集成算法及联合预报方案, 为船舶辐射噪声的快速精准分析提供了有效技术工具。Abstract: Ship radiation noise induced by vibration is a major concern for the comfort and stealthy of commercial ships and warships. An accurate prediction for the distribution and sound level of ship radiation noise can assist effective ship designs to lower vibration and noise. In order to avoid constructing complex functions from multiple vibration sources, this paper used Random Forest(RF) and Gradient Boosting Decision Tree(GBDT) methods to build surrogate models to quickly predict the 1/3 rd octave noise level of different working conditions and measuring points. Ensemble learning models have a better performance on 3 out of 4 conditions compared to Bayesian Regression, with MAE prediction error less than 5 dB. This paper also proposed an optimized version of above models that combines ensemble learning methods and linear regression, which increased prediction accuracy by 1.5 dB. The proposed ensemble learning methods could be an efficient tool for ship radiation noise analysis.
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Key words:
- ensemble learning /
- ship radiated noise /
- surrogate model /
- vibrate
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表 1 集成模型超参数列表
Table 1. List of integration model superparameters
模型名称 模型超参数 RF回归 CART数量, 袋外评分, 最大特征数及最大深度等 GBDT回归 CART数量, 学习率, 阿尔法,
子样本比例及最大特征数等表 2 不同频率区模型预报误差比对
Table 2. Comparison of model prediction errors in different frequency regions
频域/ Hz RF GBDT Bayesian 10 ~100 2.49 2.21 2.56 100 ~ 1 000 2.83 2.53 2.76 1 000~10 000 2.12 2.31 3.33 表 3 不同工况下测点一模型预报误差比对
Table 3. Comparison of prediction error between measurement point and model under different working conditions
MAE/dB RMSE /dB 工况1 工况2 工况3 工况4 工况1 工况2 工况3 工况4 RF 3.2 3.0 1.2 4.8 3.2 3.1 1.2 4.9 GBDT 2.9 2.9 1.1 4.3 2.9 3.0 1.1 4.4 Bayesian 4.3 3.2 1.7 3.8 4.4 3.4 1.8 3.9 -
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