“…Recent works are mainly in the area of lossy compression, which are based on convolutional neural networks (CNNs) [ 25 , 26 , 27 , 28 , 29 ], recurrent neural networks (RNNs) [ 30 ], generative adversarial networks (GANs) [ 31 ] and the context model [ 32 , 33 , 34 ]. Learning-based lossless image compression methods [ 35 , 36 , 37 , 38 , 39 ] use neural networks instead of the traditional encoder and decoder to achieve image compression. PixelCNN [ 40 ] and PixelCNN++ [ 41 ] as well as the methods based on bits-back coding [ 42 , 43 ] and flow models [ 44 , 45 ] shorten the distance between information theory and machine learning.…”