Low density codes achieve the rate-distortion bound
<|reference_start|>Low density codes achieve the rate-distortion bound: We propose a new construction for low-density source codes with multiple parameters that can be tuned to optimize the performance of the code. In addition, we introduce a set of analysis techniques for deriving upper bounds for the expected distortion of our construction, as well as more general low-density constructions. We show that (with an optimal encoding algorithm) our codes achieve the rate-distortion bound for a binary symmetric source and Hamming distortion. Our methods also provide rigorous upper bounds on the minimum distortion achievable by previously proposed low-density constructions.<|reference_end|>
@article{martinian2006low,
    title={Low density codes achieve the rate-distortion bound},
    author={Emin Martinian, Martin J. Wainwright},
    journal={arXiv preprint arXiv:cs/0601123},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0601123},
    primaryClass={cs.IT math.IT}
}