求解回归问题的一种新的遗传折叠算法

Mohammad A. Mezher, M. F. Abbod
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引用次数: 9

摘要

支持向量回归(SVR)是一种很有吸引力的数据建模方法。SVR是基于将非线性输入映射到特征空间中的线性输入。SVR不是最小化观察到的训练误差,而是使用结构风险最小化与核技巧控制相结合的方法最小化泛化误差界。模型选择对支持向量回归算法的性能起着至关重要的作用。因此,在SVR问题中,我们试图通过最大化边际来推广模型。基于实验结果,智能模型选择是避免在多维数据集中过度拟合和高估泛化能力的关键。核函数选择和附加容量控制的SVR技术仍在研究中。本文提出了一种基于遗传折叠的支持向量回归核选择方法。我们之前发表的分类模型研究[4]激发并证明了这种方法。最后,我们展示了与预定义核模型的比较结果。
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A New Genetic Folding Algorithm for Regression Problems
Support Vector Regression (SVR) is an attractive approach for data modeling. The SVR is based on mapping nonlinear input to a linear in the feature space. Instead of minimizing the observed training error, SVR minimizes the generalization error bound using structural risk minimization in combine with a kernel trick control. The model selection plays an important role to the performance of SVR. Therefore, in SVR problems, we attempt to generalize the model by maximizing the margin. Based on experimental results, intelligent model selection is crucial to avoid over fitting and overestimating of generalization capability in such a multidimensional dataset. SVR techniques for choosing the kernel function and additional capacity control is still ongoing research. In this paper, we develop Genetic Folding (GF) for kernel selection of SVR. This methodology was motivated and proofed by our previous published works [4] in classification models. At the end, we have shown comparative results in comparing to predefined kernel models.
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