光合有效辐射预测模型的核函数组合优化
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国家自然科学基金资助项目(30871452)


Optimized Photosynthetic Active Radiation Prediction Model Based on Kernel Function Combination
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    摘要:

    以林下参种植基地光合有效辐射(PAR)、散射辐射(PFDdif)和直射辐射(PFDdir)为研究对象,以支持向量机linear核函数(k1)、polynomial核函数(k2)、radial basis function核函数(k3)为基础,构建新核函数。使用K-fold交叉验证方法,利用粒子群算法(PSO)对惩罚参数c和g值优化。试验结果表明, 利用grid search算法设定惩罚参数c为16和g值为1时,通过比较相关系数及符合拟合均衡原则下,选出以0.2k1+0.8k2核函数而构建的光合有效辐射预测模型效果最佳,对由PAR、PFDdir和PFDdif数据组成的预测集1和预测集2拟合程度分别为89.2132%和81.7896%。利用粒子群算法对惩罚参数c和g值优化后,预测模型对预测集1拟合程度达到92.1560%,对预测集2拟合程度达到90.0360%。可见,采用0.2k1+0.8k2核函数和PSO的支持向量机预测模型对PAR具备预测能力。

    Abstract:

    Using the photosynthetic active radiation (PAR), scattering radiation (PFDdif) and direct radiation (PFDdir) from the ginseng base in forest as research object, a support vector machine model about photosynthetic active radiation based on linear function (k1), polynomial function (k2) and radial basis function (k3) was constituted. By using K-fold cross validation method, penalty parameter cand g numerical value were optimized by particle swarm optimization. Penalty parameter c and g numerical value of photosynthetic active radiation support vector machine model were configured 16 and 1 by grid search algorithm. 0.2k1+0.8k2 kernel function was chosed to construct the predict PAR model by related coefficient and the fitting equilibrium principle. Fitting index of predicting set 1 and 2 was separately 89.2132% and 81.7896% based on the predicting model. By using particle swarm algorithm, the two predicting models’ parameters were optimized. Fitting index of predicting set 1 and 2 was separately 92.1560% and 90.0360%. The predicting model based on 0.2k1+0.8k2 and particle swarm algorithm showed ability to predict PAR variation trend.

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武海巍,于海业,张蕾.光合有效辐射预测模型的核函数组合优化[J].农业机械学报,2011,42(6):167-173.

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