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基于数据分解与斑马算法优化的混合核极限学习机月径流预测OA北大核心CSTPCD

Monthly Runoff Prediction Using Hybrid Kernel Extreme Learning Machine Based on Data Decomposition and Zebra Algorithm Optimization

中文摘要英文摘要

为提高月径流预测精度,改进混合核极限学习机(HKELM)预测性能,提出小波包分解(WPT)-斑马优化算法(ZOA)-HKELM组合模型.利用WPT处理月径流时序数据,构建局部高斯径向基核函数和全局多项式核函数相混合的HKELM;通过ZOA优化HKELM超参数(正则化参数、核参数、权重系数),建立WPT-ZOA-HKELM组合模型,并构建WPT-遗传算法(GA)-HKELM、WPT-灰狼优化(GWO)算法-HKELM、WPT-鲸鱼优化算法(WOA)-HKELM、WPT-ZOA-极限学习机(ELM)、WPT-ZOA-最小二乘支持向量机(LSSVM)、ZOA-HKELM作对比模型,通过黑河流域莺落峡、讨赖河水文站月径流时间序列预测实例对各模型进行检验.结果表明:①莺落峡、讨赖河水文站月径流时间序列WPT-ZOA-HKELM模型预测的平均绝对百分比误差分别为1.054%、0.761%,决定系数均达0.999 9,优于其他对比模型,具有更高的预测精度,预测效果更好.②利用ZOA优化HKELM超参数,可提高HKELM预测性能,优化效果优于GWO、WOA、GA.③预测模型能充分发挥WPT、ZOA和HKELM优势,提高月径流预测精度;在相同分解和优化情形下,HKELM的预测性能优于ELM、LSSVM.

In order to enhance the precision of monthly runoff forecasts and optimize the prediction performance of the Hybrid Kernel Extreme Learning Machine(HKELM),we propose a synergistic approach integrating Wavelet Packet Decomposition(WPT),the Zebra Optimization Algorithm(ZOA),and HKELM.The approach involves applying WPT to preprocess monthly runoff time series data and constructing a HKELM that combines local Gaussi-an radial basis function with global polynomial kernel function.By refining HKELM hyperparameters(including regularization parameters,kernel parameters,and weight coefficients)through ZOA,we establish the WPT-ZOA-HKELM model,alongside comparative models such as WPT-Genetic Algorithm(GA)-HKELM,WPT-Grey Wolf Optimization(GWO)algorithm-HKELM,WPT-Whale Optimization(WOA)-HKELM,WPT-ZOA Extreme Learn-ing Machine(ELM),WPT-ZOA Least Squares Support Vector Machine(LSSVM),and ZOA-HKELM.These models are evaluated using monthly runoff time series data from the Yingluoxia and Tuolai River hydrological sta-tions in the Heihe River Basin.Our findings indicate that:(1)The WPT-ZOA-HKELM model achieves average ab-solute percentage errors of 1.054%and 0.761%respectively,with determination coefficients of 0.999 9,surpassing other comparative models in terms of prediction accuracy and performance.(2)Optimization of HKELM hyperpa-rameters with ZOA enhances predictive performance compared to GWO,WOA,and GA.(3)Through leveraging WPT,ZOA,and HKELM,the prediction model significantly improves monthly runoff forecast accuracy.Under e-quivalent decomposition and optimization conditions,the predictive performance of HKELM is superior to ELM and LSSVM.

李菊;崔东文

云南开放大学城市建设学院,昆明 650500云南省文山州水务局,云南文山 663000

水利科学

月径流预测时间序列斑马优化算法混合核极限学习机小波包变换超参数优化

monthly runoff forecasttime serieszebra optimization algorithmhybrid kernel extreme learning ma-chinewavelet packet transformhyperparameter optimization

《长江科学院院报》 2024 (006)

42-50 / 9

云南省教育厅教育科学研究基金项目(2023J0797);云南省水利厅水利科技项目(2024BC202003)

10.11988/ckyyb.20230782

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