Academy of Scientific and Innovative Research, Anusandhan Bhawan, Rafi Marg, New Delhi, 110001, India,
Environ Monit Assess. 2014 May;186(5):2749-65. doi: 10.1007/s10661-013-3576-6. Epub 2013 Dec 14.
Kernel function-based regression models were constructed and applied to a nonlinear hydro-chemical dataset pertaining to surface water for predicting the dissolved oxygen levels. Initial features were selected using nonlinear approach. Nonlinearity in the data was tested using BDS statistics, which revealed the data with nonlinear structure. Kernel ridge regression, kernel principal component regression, kernel partial least squares regression, and support vector regression models were developed using the Gaussian kernel function and their generalization and predictive abilities were compared in terms of several statistical parameters. Model parameters were optimized using the cross-validation procedure. The proposed kernel regression methods successfully captured the nonlinear features of the original data by transforming it to a high dimensional feature space using the kernel function. Performance of all the kernel-based modeling methods used here were comparable both in terms of predictive and generalization abilities. Values of the performance criteria parameters suggested for the adequacy of the constructed models to fit the nonlinear data and their good predictive capabilities.
基于核函数的回归模型被构建并应用于一个与地表水有关的非线性水化学数据集,以预测溶解氧水平。初始特征是使用非线性方法选择的。使用 BDS 统计量测试数据中的非线性,结果表明数据具有非线性结构。核岭回归、核主成分回归、核偏最小二乘回归和支持向量回归模型使用高斯核函数开发,并根据几个统计参数比较了它们的泛化和预测能力。使用交叉验证过程优化模型参数。所提出的核回归方法通过使用核函数将原始数据转换到高维特征空间,成功地捕获了原始数据的非线性特征。这里使用的所有基于核的建模方法在预测和泛化能力方面的性能都相当。所构建模型拟合非线性数据的充分性和良好预测能力的性能标准参数值表明。