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Visualizing data as objects by DC (difference of convex) optimization


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Opened Access Visualizing data as objects by DC (difference of convex) optimization

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Author: Carrizosa Priego, Emilio José
Guerrero Lozano, Vanesa
Romero Morales, María Dolores
Department: Universidad de Sevilla. Departamento de Estadística e Investigación Operativa
Date: 2017
Published in: Mathematical Programming, 1-22.
Document type: Article
Abstract: 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.
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DOI: 10.1007/s10107-017-1156-1

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