Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Projections of Semilattices in the Language of Category Theory

Projections of Semilattices in the Language of Category Theory —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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automatic Documentation and Mathematical Linguistics Springer Journals

Projections of Semilattices in the Language of Category Theory

Loading next page...
 
/lp/springer-journals/projections-of-semilattices-in-the-language-of-category-theory-u38yqRG3uM
Publisher
Springer Journals
Copyright
Copyright © Allerton Press, Inc. 2021. ISSN 0005-1055, Automatic Documentation and Mathematical Linguistics, 2021, Vol. 55, No. 3, pp. 89–93. © Allerton Press, Inc., 2021. Russian Text © The Author(s), 2021, published in Nauchno-Tekhnicheskaya Informatsiya, Seriya 2: Informatsionnye Protsessy i Sistemy, 2021, No. 6, pp. 27–31.
ISSN
0005-1055
eISSN
1934-8371
DOI
10.3103/s0005105521030043
Publisher site
See Article on Publisher Site

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.

Journal

Automatic Documentation and Mathematical LinguisticsSpringer Journals

Published: May 1, 2021

Keywords: semilattice; monad; category of algebras; functor limit

References