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Title Threshold of Overflow Probability in Terms of Smooth Max-Entropy for Variable-Length Compression Allowing Errors (in Japanese)
Authors Shota Saito 、Toshiyasu Matsushima
Released Year 2016
Format International Conference
Category Source coding
Jounal Name Proceedings of the 2016 International Symposium on Information Theory and Its Applications
Jounal Page pp.21-25
Published Year 2016
Published Month 10
Abstract
(English)
This paper deals with one-shot fixed-to-variable length source coding allowing error probability. We adopt the criterion of the overflow probability and treat prefix and non-prefix codes. The infimum of the threshold of the overflow probability is investigated under the condition that the error probability and the overflow probability are bounded above by positive constants. We show this threshold is evaluated in terms of the smooth max-entropy and clarify the difference of the thresholds between prefix and non-prefix codes. Further, we elucidate the benefit of allowing a nonzero error compared with lossless coding.
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