Duhoux M, Suykens J, De Moor B, Vandewalle J
Katholieke Universiteit Leuven, Department of Electrical Engineering, ESAT-SISTA, Heverlee, Leuven, Belgium.
Int J Neural Syst. 2001 Feb;11(1):1-10. doi: 10.1142/S012906570100045X.
When an artificial neural network (ANN) is trained to predict signals p steps ahead, the quality of the prediction typically decreases for large values of p. In this paper, we compare two methods for prediction with ANNs: the classical recursion of one-step ahead predictors and a new kind of chain structure. When applying both techniques to the prediction of the temperature at the end of a blast furnace, we conclude that the chaining approach leads to an improved prediction of the temperature and avoidance of instabilities, since the chained networks gradually take the prediction of their predecessors in the chain as an extra input. It is observed that instabilities might occur in the iterative case, which does not happen with the chaining approach. To select relevant inputs and decrease the number of weights in this approach, Automatic Relevance Determination (ARD) for multilayer perceptrons is applied.
当训练人工神经网络(ANN)来预测提前p步的信号时,对于较大的p值,预测质量通常会下降。在本文中,我们比较了两种使用ANN进行预测的方法:一步超前预测器的经典递归方法和一种新型的链式结构。当将这两种技术应用于高炉炉尾温度预测时,我们得出结论,链式方法能够提高温度预测效果并避免不稳定性,因为链式网络会逐渐将其在链中前序网络的预测结果作为额外输入。据观察,在迭代情况下可能会出现不稳定性,而链式方法不会出现这种情况。为了在这种方法中选择相关输入并减少权重数量,我们应用了多层感知器的自动相关性确定(ARD)方法。