Autores
Gelbukh Alexander
Título Mathematical properties of soft cardinality: Enhancing Jaccard, Dice and cosine similarity measures with element-wise distance
Tipo Revista
Sub-tipo JCR
Descripción Information Sciences
Resumen The soft cardinality function generalizes the concept of counting measure of the classic cardinality of sets. This function provides an intuitive measure of the amount of elements in a collection (i.e. a set or a bag) exploiting the similarities among them. Although soft cardinality was first proposed in an ad-hoc way, it has been successfully used in various tasks in the field of natural language processing. In this paper, a formal definition of soft cardinality is proposed together with an analysis of its boundaries, monotonicity property and a method for constructing similarity functions. Additionally, an empirical evaluation of the model was carried out using synthetic data.
Observaciones DOI 10.1016/j.ins.2016.06.012
Lugar New York
País Estados Unidos
No. de páginas 373–389
Vol. / Cap. v. 367
Inicio 2016-11-01
Fin
ISBN/ISSN