no code implementations • 18 Aug 2023 • Mieczysław A. Kłopotek, Bartłmiej Starosta, Sławomir T. Wierzchoń
Our previous experiments demonstrated that subsets collections of (short) documents (with several hundred entries) share a common normalized in some way eigenvalue spectrum of combinatorial Laplacian.
no code implementations • 1 Aug 2023 • Bartłomiej Starosta, Mieczysław A. Kłopotek, Sławomir T. Wierzchoń
It is based on showing (approximate) equivalence of combinatorial Laplacian embedding, $K$-embedding (proposed in this paper) and term vector space embedding.
no code implementations • 26 Sep 2019 • Mieczysław A. Kłopotek, Sławomir T. Wierzchoń
Valuation-Based~System can represent knowledge in different domains including probability theory, Dempster-Shafer theory and possibility theory.
no code implementations • 7 Dec 2018 • Mieczysław A. Kłopotek, Sławomir T. Wierzchoń
Mathematical Theory of Evidence (MTE), a foundation for reasoning under partial ignorance, is blamed to leave frequencies outside (or aside of) its framework.
no code implementations • 8 Apr 2017 • Mieczysław A. Kłopotek, Sławomir T. Wierzchoń
The interpretation has the property that Given a definition of the belief measure of objects in the interpretation domain we can perform operations in this domain and the measure of the resulting object is derivable from measures of component objects via belief operator.