2011 IncorporatingSATSolversIntoHier

From GM-RKB
Jump to navigation Jump to search

Subject Headings: Constrained Clustering.

Notes

Cited By

Quotes

Author Keywords

Abstract

The area of constrained clustering has been actively pursued for the last decade. A more recent extension that will be the focus of this paper is constrained hierarchical clustering which allows building user-constrained dendrograms / trees. Like all forms of constrained clustering, previous work on hierarchical constrained clustering uses simple constraints that are typically implemented in a procedural language. However, there exists mature results and packages in the fields of constraint satisfaction languages and solvers that the constrained clustering field has yet to explore. This work marks the first steps towards introducing constraints satisfaction languages / solvers into hierarchical constrained clustering. We make several significant contributions. We show how many existing and new constraints for hierarchical clustering, can be modeled as a Horn-SAT problem that is easily solvable in polynomial time and which allows their implementation in any number of declarative languages or efficient solvers. We implement our own solver for efficiency reasons. We then show how to formulate constrained hierarchical clustering in a flexible manner so that any number of algorithms, whose output is a dendrogram, can make use of the constraints.

References

;

 AuthorvolumeDate ValuetitletypejournaltitleUrldoinoteyear
2011 IncorporatingSATSolversIntoHierIan Davidson
Sean Gilpin
Incorporating SAT Solvers Into Hierarchical Clustering Algorithms: An Efficient and Flexible Approach10.1145/2020408.20205852011