### Abstract

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

*Visualizing Data as Objects by DC (Difference of Convex) Optimization*. Madison, WI: Mathematical Optimization Society. Optimization Online, No. 5227

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**Visualizing Data as Objects by DC (Difference of Convex) Optimization.** / Carrizosa, Emilio; Guerrero, Vanesa; Romero Morales, Dolores .

Research output: Working paper › Research › peer-review

TY - UNPB

T1 - Visualizing Data as Objects by DC (Difference of Convex) Optimization

AU - Carrizosa, Emilio

AU - Guerrero, Vanesa

AU - Romero Morales, Dolores

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Data Visualization

KW - DC functions

KW - DC algorithm

KW - Multidimensional Scaling Analysis

KW - Data Visualization

KW - DC functions

KW - DC algorithm

KW - Multidimensional Scaling Analysis

M3 - Working paper

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

PB - Mathematical Optimization Society

CY - Madison, WI

ER -