Impact of ratio k on two-layer neural networks with dynamic optimal learning rate

Learning process is an important part in two-layer networks. It is imperative to search for an optimal learning rate to get a maximum error reduction in each learning step. Related literature has proposed various kinds of methods to find such an optimal learning rate in the past decades. In this paper, we proposed an improved dynamic optimal learning rate by adding an optimal ratio k. It is found that our improved dynamic optimal learning rate can generate a better result in learning processes. Meanwhile, we have proved the existence of the ratio kby giving it a proper math expression. Furthermore, we also applied the improved learning rate to solve inverse problem and compared the difference of the improved learning rate with the previous approach. It is observed that our proposed method performs better. Therefore, it can be concluded that our new method to search for dynamic optimal learning rate is valuable in the intelligence learning applications of neural networks, or it is effective in the aspect of tested problem at least.