Search Results for author: Sławomir T. Wierzchoń

Found 5 papers, 0 papers with code

Eigenvalue-based Incremental Spectral Clustering

no code implementations18 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.

Clustering

Explainable Graph Spectral Clustering of Text Documents

no code implementations1 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.

Clustering

Query Optimization Properties of Modified VBS

no code implementations26 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.

On Marginally Correct Approximations of Dempster-Shafer Belief Functions from Data

no code implementations7 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.

Basic Formal Properties of A Relational Model of The Mathematical Theory of Evidence

no code implementations8 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.

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