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Universal Tree Source Coding Using Grammar-Based Compression

Information Theory 2017-02-01 v1 math.IT

Abstract

We apply so-called tree straight-line programs to the problem of lossless compression of binary trees. We derive upper bound on the maximal pointwise redundancy (or worst-case redundancy) that improve previous bounds obtained by Zhang, Yang, and Kieffer using directed acyclic graphs. Using this, we obtain universal codes for new classes of structered tree sources.

Keywords

Cite

@article{arxiv.1701.08785,
  title  = {Universal Tree Source Coding Using Grammar-Based Compression},
  author = {Danny Hucke and Markus Lohrey},
  journal= {arXiv preprint arXiv:1701.08785},
  year   = {2017}
}