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Visualizing Data as Objects by DC (Difference of Convex) Optimization

Publication: Research - peer-reviewJournal article

DOI

In this paper we address the problem of visualizing in a bounded region a set of individuals, which has attached a dissimilarity measure and a statistical value, as convex objects. This problem, which extends the standard Multidimensional Scaling Analysis, is written as a global optimization problem whose objective is the difference of two convex functions (DC). Suitable DC decompositions allow us to use the Difference of Convex Algorithm (DCA) in a very efficient way. Our algorithmic approach is used to visualize two real-world datasets.

Publication information

Original languageEnglish
JournalMathematical Programming
Number of pages22
ISSN0025-5610
DOIs
StatePublished - 28 Apr 2017

Bibliographical note

Epub ahead of print. Published online: 28. April 2017

    Keywords

  • Data visualization, DC functions, DC algorithm, Multidimensional scaling analysis

ID: 46498512