Simple one-shot bounds for various source coding problems using smooth Renyi quantities
Abstract
We consider the problem of source compression under three different scenarios in the one-shot (non- asymptotic) regime. To be specific, we prove one-shot achievability and converse bounds on the coding rates for distributed source coding, source coding with coded side information available at the decoder and source coding under maximum distortion criterion. The one-shot bounds obtained are in terms of smooth max Renyi entropy and smooth max Renyi divergence. Our results are powerful enough to yield the results that are known for these problems in the asymptotic regime both in the i.i.d. (independent and identically distributed) and non-i.i.d. settings
Cite
@article{arxiv.1511.08538,
title = {Simple one-shot bounds for various source coding problems using smooth Renyi quantities},
author = {Naqueeb Ahmad Warsi},
journal= {arXiv preprint arXiv:1511.08538},
year = {2015}
}
Comments
Accepted for publication at Problems of Information Transmission. To appear in the January issue of the journal