Abstract:Insufficient data is a big problem for deep learning. In this paper, based on the feature that the generative adversarial networks (GAN) can semantically generate new data, a new GAN image data generation method based on spectral restriction was proposed. For the problems of collapse and divergence of deep convolution generation adversarial networks (DCGAN), this proposed method starts from the spectral norm of the parameter matrix W of each layer of the neural network, and introduces the spectral norm to normalize the network parameter matrix, thus the network gradient is limited to a fixed range, which slows down the discriminative network convergence speed and improves the training stability of GAN. Experimental results show that in the image recognition network, the proposed method presents higher accuracy than original GAN, DCGAN, WGAN and other methods, expanding a small amount of sample data efficiently.