The rate-distortion-perception function (RDPF; Blau and Michaeli, 2019) has emerged as a useful tool for thinking about realism and distortion of reconstructions in lossy compression. Unlike the rate-distortion function, however, it is unknown whether encoders and decoders exist that achieve the rate suggested by the RDPF. Building on results by Li and El Gamal (2018), we show that the RDPF can indeed be achieved using stochastic, variable-length codes. For this class of codes, we also prove that the RDPF lower-bounds the achievable rate

翻译：率扭曲感知功能(RDPF;Blau and Michaeli, 2019年)已成为思考损失压缩中重建的现实主义和扭曲的有用工具。然而,与率扭曲功能不同,尚不清楚是否存在能达到RDPF建议的速率的编码器和解码器。根据Li和El Gamal(2018年)的成果,我们证明RDPF确实可以使用随机、可变长的代码实现。对于这类代码,我们还证明RDPF将可达到的速率限制在较低的范围内。