This paper proposes trainable activation functions for deep neural network (DNN). A DNN is a feed-forward neural network composed of more than one hidden nonlinear layer. It is characterized by a set of weight matrices, bias vectors, and a nonlinear activation function. In model parameter training, weight matrices and bias vectors are updated using an error back-propagation algorithm but activation functions is not. It is just fixed empirically. Many rectifier-type nonlinear functions have been proposed as activation functions, but the best nonlinear functions for any given task domain remain unknown. In order to address the issue, we propose a trainable activation function. In the proposed approach, conventional nonlinear activation functions were approximated for a Taylor series, and the coefficients were retrained simultaneously with other parameters. The effectiveness of the proposed approach was evaluated for MNIST handwritten digit recognition domain.
KSP Keywords
Back Propagation(BP), Back Propagation Algorithm, Deep neural network(DNN), Error back-propagation, Feedforward neural networks, Model parameter, Taylor Series, handwritten digit recognition, nonlinear activation function, nonlinear function, weight matrix
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