English

Clustering with Respect to the Information Distance

Information Theory 2022-06-29 v4 Discrete Mathematics math.IT

Abstract

We discuss the notion of a dense cluster with respect to the information distance and prove that all such clusters have an extractable core that represents the mutual information shared by the objects in the cluster.

Keywords

Cite

@article{arxiv.2110.01346,
  title  = {Clustering with Respect to the Information Distance},
  author = {Andrei Romashchenko},
  journal= {arXiv preprint arXiv:2110.01346},
  year   = {2022}
}

Comments

12 pages; 3 figures. A version of this paper is accepted for publication in the Theoretical Computer Science journal