arXiv Machine Learning By Arnauld Mesinga Mwafise

Machine Learning and Data Analysis Using Posets: A Survey

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arXiv:2404. 03082v3 Announce Type: replace Abstract: Partially ordered sets (posets) are discrete mathematical structures that formalize the notion of comparison without forcing every pair of objects to be comparable.

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arXiv Machine Learning
Sep 2

Convergence issues in Relational Concept Analysis based on AOC-posets

The paper examines convergence problems in Relational Concept Analysis (RCA) when applied to AOC-posets instead of full concept lattices. It explains why RCA’s iterative process may fail to converge in the AOC-poset setting, identifies conditions that can still guarantee convergence, and proposes a convergent variant that preserves the AOC-poset structure by never removing relational attributes. The study also discusses data transformations that can restore convergence.

By Xavier Dolques, Agn\`es Braud, Alain Gutierrez, Marianne Huchard, Florence Le Ber