On Difference of Convex Optimization to Visualize Statistical Data and Dissimilarities

Emilio Carrizosa; Vanesa Guerrero; Dolores  Romero Morales

On Difference of Convex Optimization to Visualize Statistical Data and Dissimilarities

Emilio Carrizosa
, Vanesa Guerrero
, Dolores Romero Morales

Department of Economics

University of Seville

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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
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 Sept 2016 → 8 Sept 2016 Conference number: 13 http://apolo.dps.uminho.pt/gow16/index.html

Workshop

Workshop	The 13th Global Optimization Workshop. GOV '16
Number	13
Location	University of Minho
Country/Territory	Portugal
City	Braga
Period	04/09/2016 → 08/09/2016
Internet address	http://apolo.dps.uminho.pt/gow16/index.html

Keywords

DC programming
Visualization

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http://apolo.dps.uminho.pt/gow16/Proceedings_GOW16.pdf#page=100Licence: Unspecified

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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

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title = "On Difference of Convex Optimization to Visualize Statistical Data and Dissimilarities",

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.",

keywords = "DC programming, Visualization, DC programming, Visualization",

author = "Emilio Carrizosa and Vanesa Guerrero and \{Romero Morales\}, Dolores",

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booktitle = "Proceedings of the XIII Global Optimization Workshop. GOW {\textquoteright}16",

publisher = "University of Minho",

address = "Portugal",

note = "The 13th Global Optimization Workshop. GOV '16 ; Conference date: 04-09-2016 Through 08-09-2016",

url = "http://apolo.dps.uminho.pt/gow16/index.html",

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Carrizosa, E, Guerrero, V & Romero Morales, D 2016, On Difference of Convex Optimization to Visualize Statistical Data and Dissimilarities. in AMAC Rocha, MFP Costa & EMGP Fernandes (eds), Proceedings of the XIII Global Optimization Workshop. GOW ’16. University of Minho, Braga, pp. 89–92, The 13th Global Optimization Workshop. GOV '16, Braga, Portugal, 04/09/2016. <http://apolo.dps.uminho.pt/gow16/Proceedings_GOW16.pdf#page=100>

On Difference of Convex Optimization to Visualize Statistical Data and Dissimilarities. / Carrizosa, Emilio; Guerrero, Vanesa; Romero Morales, Dolores .
Proceedings of the XIII Global Optimization Workshop. GOW ’16. ed. / Ana Maria A. C. Rocha; M. Fernanda P. Costa; Edite M. G. P. Fernandes. Braga: University of Minho, 2016. p. 89–92.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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AU - Guerrero, Vanesa

AU - Romero Morales, Dolores

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PY - 2016

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N2 - 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.

AB - 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.

KW - DC programming

KW - Visualization

KW - DC programming

KW - Visualization

M3 - Article in proceedings

SN - 9789892067643

SP - 89

EP - 92

BT - Proceedings of the XIII Global Optimization Workshop. GOW ’16

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A2 - Costa, M. Fernanda P.

A2 - Fernandes, Edite M. G. P.

PB - University of Minho

CY - Braga

T2 - The 13th Global Optimization Workshop. GOV '16

Y2 - 4 September 2016 through 8 September 2016

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