We study different notions of pointwise redundancy in variable-length lossy source coding. We present a construction of one-shot variable-length lossy source coding schemes using the Poisson functional representation, and give bounds on its pointwise redundancy for various definitions of pointwise redundancy. This allows us to describe the distribution of the encoding length in a precise manner. We also generalize the result to the one-shot lossy Gray-Wyner system.

翻译：我们研究了变长有损信源编码中逐点冗余的不同概念。我们提出了一种利用泊松泛函表示构造单次变长有损信源编码方案的方法，并针对逐点冗余的多种定义给出了其逐点冗余的界。这使得我们能够精确描述编码长度的分布。我们还将该结果推广到单次有损Gray-Wyner系统。