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

Research output: Contribution to journalJournal article

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
Issue number1
Pages (from-to)119-140
StatePublished - May 2018

Bibliographical note

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

    Research areas

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

ID: 46498512