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01-05-2021 | INTELLIGENT SYSTEMS

Projections of Semilattices in the Language of Category Theory

Published in: Automatic Documentation and Mathematical Linguistics | Issue 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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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.

Title: Projections of Semilattices in the Language of Category Theory
Publication date: 01-05-2021
Published in: Automatic Documentation and Mathematical Linguistics / Issue 3/2021
Print ISSN: 0005-1055
Electronic ISSN: 1934-8371
DOI: https://doi.org/10.3103/S0005105521030043

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