4采用线性函数的前向多层网络感知器在人工神经网络发展的历程中起了不可低估的作用，它为我们指明了前向多层网络的强大功能，然而，它也存在着严重的缺点，最主要的是缺乏一种有效的学习算法。可以说，没有有效学习算法的神经网络，是没有实用的价值。下面讨论的问题的核心是 4 The forward multi-layer network perceptron with linear function plays an inestimable role in the development of artificial neural network, which shows us the powerful function of forward multi-layer network. However, it also has serious shortcomings , The most important is the lack of an effective learning algorithm. It can be said that there is no practical value for neural networks without effective learning algorithms. The core of the issues discussed below is