Deep process neural network for temporal deep learning

Process neural network is widely used in modeling temporal process inputs in neural networks. Traditional process neural network is usually limited in structure of single hidden layer due to the unfavorable training strategies of neural network with multiple hidden layers and complex temporal weights in process neural network. Deep learning has emerged as an effective pre-training method for neural network with multiple hidden layers. Though deep learning is usually limited in static inputs, it provided us a good solution for training neural network with multiple hidden layers. In this paper, we extended process neural network to deep process neural network. Two basic structures of deep process neural network are discussed. One is the accumulation first deep process neural network and the other is accumulation last deep process neural network. We could build any architecture of deep process neural network based on those two structures. Temporal process inputs are represented as sequences in this work for the purpose of unsupervised feature learning with less prior knowledge. Based on this, we proposed learning algorithms for two basic structures inspired by the numerical learning approach for process neural network and the auto-encoder in deep learning. Finally, extensive experiments demonstrated that deep process neural network is effective in tasks with temporal process inputs. Accuracy of deep process neural network is higher than traditional process neural network while time complexity is near in the task of traffic flow prediction in highway system.