基于LM-BP神经网络的非线性轮廓图优化方法研究

摘要

A method to optimize the non-linear profile was presented based on the DOE theory BP neural network model with Levenberg-Marquard algorithm,which were compared with the traditional statistical regression modeling by a example.The results show that the estimation errors of the model coefficients due to the design and experimental errors may be avoided based on LM-BP neural network modeling.Compared with the BP algorithm this method overcomes the standard BP algorithm per-formance of unstability,slow convergence and low convergence precision,the presence of local mini-ma and other short-comings.The method proposed herein has a high accuracy,optimization results are satisfactory.%将正交试验设计理论与BP 神经网络模型和 Levenberg-Marquard 算法相结合，提出了一种基于LM-BP神经网络模型的针对输出为非线性轮廓图响应的离线设计优化方法。并结合实例与传统的统计回归建模方法得出的优化结果进行了比较。结果表明基于 LM-BP 神经网络建模可以避免由于实验误差和试验设计方案所造成的模型系数估计误差，而与标准的 BP 算法比较，克服了标准 BP 算法性能不稳定、收敛速度慢、收敛精度低、存在局部最小值等缺点，具有极高的精确性，优化结果令人满意。