How To Overcome Richness Axiom Fallacy

October 27, 2022 Β· Declared Dead Β· πŸ› arXiv.org

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Authors MieczysΕ‚aw A. KΕ‚opotek, Robert A. KΕ‚opotek arXiv ID 2210.15507 Category cs.AI: Artificial Intelligence Citations 0 Venue arXiv.org Last Checked 5 months ago
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.
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