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BernoulliZip: a Compression Algorithm for Bernoulli Processes and Erdos-Renyi Graphs

Information Theory 2021-05-17 v1 math.IT

Abstract

A novel compression scheme for compressing the outcome of nn independent Bernoulli trials is introduced and analysed. The resulting algorithm, BernoulliZip, is a fast and near-optimal method to produce prefix codes for a Bernoulli process. BernoulliZip's main principle is to first represent the number of 1s in the sequence and then specify the sequence. The application of BernoulliZip on compressing Erdos-Renyi graphs is explored.

Keywords

Cite

@article{arxiv.2105.06708,
  title  = {BernoulliZip: a Compression Algorithm for Bernoulli Processes and Erdos-Renyi Graphs},
  author = {Amirmohammad Farzaneh and Mihai-Alin Badiu and Justin P. Coon},
  journal= {arXiv preprint arXiv:2105.06708},
  year   = {2021}
}

Comments

Submitted to ITW 2021

R2 v1 2026-06-24T02:06:27.264Z