One-Shot Wyner-Ziv Compression of a Uniform Source
<|reference_start|>One-Shot Wyner-Ziv Compression of a Uniform Source: In this paper, we consider the one-shot version of the classical Wyner-Ziv problem where a source is compressed in a lossy fashion when only the decoder has access to a correlated side information. Following the entropy-constrained quantization framework, we assume a scalar quantizer followed by variable length entropy coding. We consider compression of a uniform source, motivated by its role in the compression of processes with low-dimensional features embedded within a high-dimensional ambient space. We find upper and lower bounds to the entropy-distortion functions of the uniform source for quantized and noisy side information, and illustrate tightness of the bounds at high compression rates.<|reference_end|>
@article{ülger2024one-shot,
    title={One-Shot Wyner-Ziv Compression of a Uniform Source},
    author={Ou{g}uzhan Kubilay "Ulger and Elza Erkip},
    journal={arXiv preprint arXiv:2405.01774},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.01774},
    primaryClass={cs.IT math.IT}
}