### Abstract

In this talk 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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Title of host publication | Proceedings of the XIII Global Optimization Workshop. GOW ’16 |

Editors | Ana Maria A. C. Rocha, M. Fernanda P. Costa, Edite M. G. P. Fernandes |

Place of Publication | Braga |

Publisher | University of Minho |

Publication date | 2016 |

Pages | 89–92 |

ISBN (Print) | 9789892067643 |

Publication status | Published - 2016 |

Event | The 13th Global Optimization Workshop. GOV '16 - University of Minho, Braga, Portugal Duration: 4 Sep 2016 → 8 Sep 2016 Conference number: 13 http://apolo.dps.uminho.pt/gow16/index.html |

### Workshop

Workshop | The 13th Global Optimization Workshop. GOV '16 |
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Number | 13 |

Location | University of Minho |

Country | Portugal |

City | Braga |

Period | 04/09/2016 → 08/09/2016 |

Internet address |

### Keywords

- DC programming
- Visualization

## Cite this

Carrizosa, E., Guerrero, V., & Romero Morales, D. (2016). On Difference of Convex Optimization to Visualize Statistical Data and Dissimilarities. In A. M. A. C. Rocha, M. F. P. Costa, & E. M. G. P. Fernandes (Eds.),

*Proceedings of the XIII Global Optimization Workshop. GOW ’16*(pp. 89–92). University of Minho. http://apolo.dps.uminho.pt/gow16/Proceedings_GOW16.pdf#page=100