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Automatic Documentation and Mathematical Linguistics

Erschienen in:

01.05.2021 | INTELLIGENT SYSTEMS

Projections of Semilattices in the Language of Category Theory

verfasst von: D. V. Vinogradov

Erschienen in: Automatic Documentation and Mathematical Linguistics | Ausgabe 3/2021

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Abstract—

This article describes a category theoretic approach to projections of semilattices as an alternative to the classic approach of pattern structure projections. In the special case of Cartesian products and their projections on partial sub-products, this approach forms the basis for a sequential version of the VKF machine learning method that is based on a binary similarity operation.

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Ganter, B. and Wille, R., Formal Concept Analysis, Berlin: Springer–Verlag, 1999.CrossRef

Vinogradov, D.V., Machine learning based on similarity operation, Commun. Comput. Inf. Sci., 2018, vol. 934, pp. 46–59.

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Ganter, B. and Kuznetsov, S.O., Pattern structures and their projections, Proc. 9th Conference ICSS 2001; Lecture Notes in Computer Science, Springer, 2001, vol. 2120, pp. 129–142.

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Vinogradov, D.V., On object representation by bit strings for the VKF-method, Autom. Doc. Math. Linguist., 2018, vol. 52, no. 3, pp. 113–116.CrossRef

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Vinogradov, D., Continuous attributes for FCA-based machine learning, Proc. 8th Workshop FCA4AI 2020 Co-Located with ECAI 2020; CEUR Workshop Proc., 2020, vol. 2729, pp. 103–111.

Titel: Projections of Semilattices in the Language of Category Theory
verfasst von: D. V. Vinogradov
Publikationsdatum: 01.05.2021
Verlag: Pleiades Publishing
Erschienen in: Automatic Documentation and Mathematical Linguistics / Ausgabe 3/2021
Print ISSN: 0005-1055
Elektronische ISSN: 1934-8371
DOI: https://doi.org/10.3103/S0005105521030043

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