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

Emilio Carrizosa, Vanesa Guerrero, Dolores Romero Morales

Publikation: Working paperForskningpeer review


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. 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 DCA algorithm in a very efficient way. Our algorithmic approach is used to visualize two real-world datasets.
Udgivelses stedMadison, WI
UdgiverMathematical Optimization Society
Antal sider19
StatusUdgivet - 2015
NavnOptimization Online


  • Data Visualization
  • DC functions
  • DC algorithm
  • Multidimensional Scaling Analysis


Carrizosa, E., Guerrero, V., & Romero Morales, D. (2015). Visualizing Data as Objects by DC (Difference of Convex) Optimization. Madison, WI: Mathematical Optimization Society. Optimization Online, Nr. 5227