### 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. 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.

Original language | English |
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Place of Publication | Madison, WI |

Publisher | Mathematical Optimization Society |

Number of pages | 19 |

Publication status | Published - 2015 |

Series | Optimization Online |
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Number | 5227 |

### Keywords

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

## Cite this

Carrizosa, E., Guerrero, V., & Romero Morales, D. (2015).

*Visualizing Data as Objects by DC (Difference of Convex) Optimization*. Mathematical Optimization Society. Optimization Online, No. 5227 http://www.optimization-online.org/DB_FILE/2015/12/5227.pdf