How To Overcome Richness Axiom Fallacy
Artificial Intelligence
2022-10-28 v1
Abstract
The paper points at the grieving problems implied by the richness axiom in the Kleinberg's axiomatic system and suggests resolutions. The richness induces learnability problem in general and leads to conflicts with consistency axiom. As a resolution, learnability constraints and usage of centric consistency or restriction of the domain of considered clusterings to super-ball-clusterings is proposed.
Cite
@article{arxiv.2210.15507,
title = {How To Overcome Richness Axiom Fallacy},
author = {Mieczysław A. Kłopotek and Robert A. Kłopotek},
journal= {arXiv preprint arXiv:2210.15507},
year = {2022}
}
Comments
18 pages, 3 figures, 3 tables, an extended version of ISMIS2022 paper