<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The article presents a preflow approach for the parametric maximum flow problem, derived from the rules of constructing concepts hierarchy in text corpus. Just as generating a taxonomy can be equivalently reduced to ranking concepts within a text corpus according to a defined criterion, the proposed preflow bipush-relabel algorithm computes the maximum flow - the optimum ow that respects certain ranking constraints. The parametric preflow algorithm for generating two level concepts hierarchy in text corpus works in a parametric bipartite association network and, on each step, the maximum possible amount of ow is pushed along conditional augmenting two-arcs directed paths in the parametric residual network, for the maximum interval of the parameter values. The obtained parametric maximum ow generates concepts hierarchies (taxonomies) in text corpus for different degrees of association values described by the parameter values. </p></abstract>

The article presents a preflow approach for the parametric maximum flow problem, derived from the rules of constructing concepts hierarchy in text corpus. Just as generating a taxonomy can be equivalently reduced to ranking concepts within a text corpus according to a defined criterion, the proposed preflow bipush-relabel algorithm computes the maximum flow - the optimum ow that respects certain ranking constraints. The parametric preflow algorithm for generating two level concepts hierarchy in text corpus works in a parametric bipartite association network and, on each step, the maximum possible amount of ow is pushed along conditional augmenting two-arcs directed paths in the parametric residual network, for the maximum interval of the parameter values. The obtained parametric maximum ow generates concepts hierarchies (taxonomies) in text corpus for different degrees of association values described by the parameter values.

A Parametric Network Approach for Concepts Hierarchy Generation in Text Corpus

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A Parametric Network Approach for Concepts Hierarchy Generation in Text Corpus"}

The article presents a preflow approach for the parametric maximum flow problem, derived from the rules of constructing concepts hierarchy in text corpus. Just...

A Parametric Network Approach for Concepts Hierarchy Generation in Text Corpus

Published Online: Sep 21, 2017

Page range: 371 - 381

Received: Sep 09, 2014

Accepted: Oct 02, 2014

DOI: https://doi.org/10.1515/auom-2016-0022

Keywords
Parametric maximum ow, Bipartite network, Preflow bipush-relabel algorithm, Text corpus, Concepts hierarchy, Taxonomy

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A Parametric Network Approach for Concepts Hierarchy Generation in Text Corpus

Published Online: Sep 21, 2017

Page range: 371 - 381

Received: Sep 09, 2014

Accepted: Oct 02, 2014

DOI: https://doi.org/10.1515/auom-2016-0022

KeywordsParametric maximum ow, Bipartite network, Preflow bipush-relabel algorithm, Text corpus, Concepts hierarchy, Taxonomy

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Parametric maximum ow, Bipartite network, Preflow bipush-relabel algorithm, Text corpus, Concepts hierarchy, Taxonomy