摘要
参数选择是支持向量机研究领域的重要问题。针对核参数的选择,提出一种基于二分法的核参数解路径算法。由于解为核参数的非线性光滑函数,该算法随着参数的更新,可以在已有参数得出的解的基础上通过更新公式进行推导计算,从而求得当前参数所对应的解,其目标函数的极值所对应的参数值即为最优参数解。该算法可以快速地求得最优参数。将该方法应用于双酚A生产过程的质量指标软测量建模,仿真结果表明了该算法的可行性和有效性。
Parameters selection problem in support vector machines is discussed. A solution path algorithm with respect to kernel parameter based on the bisection method is proposed. The path is a piecewise smooth function of the kernel parameter. As the update of the parameter, the current solution is computed based on an already obtained one, and the value of the parameter which is correlated with the extreme value of the target function is the optimal one. And this algorithm can obtain the optimal parameter quickly. The proposed algorithm is used in a soft-sensor model for the Bisphenol-A productive process, and the simulation results show the feasibility and effectiveness of the algorithm.
出处
《控制工程》
CSCD
北大核心
2009年第1期23-26,87,共5页
Control Engineering of China
基金
国家自然科学基金资助项目(60674092)
江苏省高技术研究基金资助项目(工业部分)(BG2006010)