One-class novelty detection is conducted to iden-tify anomalous instances, with different distributions from theexpected normal instances. In this paper, the Generative Adver-sarial Network based on the Encoder-Decoder-Encoder scheme(EDE-GAN) achieves state-of-the-art performance. The two fac-tors bellow serve the above purpose: 1) The EDE-GAN calculatesthe distance between two latent vectors as the anomaly score,which is unlike the previous methods by utilizing the reconstruc-tion error between images. 2) The model obtains best resultswhen the batch size is set to 1. To illustrate their superiority,we design a new GAN architecture, and compareperformances according to different batch sizes. Moreover, withexperimentation leads to discovery, our result implies there is alsoevidence of just how beneficial constraint on the latent space arewhen engaging in model training.In an attempt to learn compact and fast models, we present anew technology, Progressive Knowledge Distillation with GANs(P-KDGAN), which connects two standard GANs through thedesigned distillation loss. Two-step progressive learning continu-ously augments the performance of student GANs with improvedresults over single-step approach. Our experimental results onCIFAR-10, MNIST, and FMNIST datasets illustrate that P-KDGAN improves the performance of the student GAN by2.44%, 1.77%, and 1.73% when compressing the computationat ratios of 24.45:1, 311.11:1, and 700:1, respectively.