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Artículo
Binarized support vector machines
(INFORMS (Institute for Operations Research and Management Sciences), 2010)
The widely used Support Vector Machine (SVM) method has shown to yield very good results in Supervised Classification problems. Other methods such as Classification Trees have become more popular among practitioners than ...
Artículo
A biobjective method for sample allocation in stratified sampling
(Elsevier, 2007-03-01)
The two main and contradicting criteria guiding sampling design are accuracy of estimators and sampling costs. In stratified random sampling, the sample size must be allocated to strata in order to optimize both objectives. ...
Artículo
On sparse optimal regression trees
(Elsevier, 2021-12-18)
In this paper, we model an optimal regression tree through a continuous optimization problem, where a compromise between prediction accuracy and both types of sparsity, namely local and global, is sought. Our approach can ...
Tesis Doctoral
Programación matemática para las máquinas de vector de apoyo: mathematical programming for support vector machines
(2006)
En esta Tesis Doctoral, presentamos algunas propuestas en las que las herramientas de la Programación Matemática se usan para obtener clasificadores que tengan algunas propiedades interesantes. En aplicaciones prácticas, ...
Tesis Doctoral
Enhancing Classification and Regression Tree-Based Models by means of Mathematical Optimization
(2022-12-19)
This PhD dissertation bridges the disciplines of Operations Research and Machine Learning by developing novel Mathematical Optimization formulations and numerical solution approaches to build classification and regression ...
Artículo
Visualizing proportions and dissimilarities by space-filling maps: a large neighborhood search approach
(Elsevier, 2017-02)
In this paper we address the problem of visualizing a set of individuals, which have attached a statistical value given as a proportion, and a dissimilarity measure. Each individual is represented as a region within the ...
Artículo
On Building Online Visualization Maps for News Data Streams by Means of Mathematical Optimization
(Mary Ann Liebert, INC, 2018-06-01)
In this article we develop a novel online framework to visualize news data over a time horizon. First, we perform a Natural Language Processing analysis, wherein the words are extracted, and their attributes, namely the ...
Artículo
Heuristic approaches for support vector machines with the ramp loss
(Springer, 2014-03)
Recently, Support Vector Machines with the ramp loss (RLM) have attracted attention from the computational point of view. In this technical note, we propose two heuristics, the first one based on solving the continuous relaxation ...
Artículo
Visualization of complex dynamic datasets by means of mathematical optimization
(PERGAMON-ELSEVIER SCIENCE LTD, 2019-07-01)
In this paper we propose an optimization model and a solution approach to visualize datasets which are made up of individuals observed along different time periods. These individuals have attached a time-dependent magnitude ...
Artículo
Supervised classification and mathematical optimization
(Elsevier, 2013-01)
Data Mining techniques often ask for the resolution of optimization problems. Supervised Classification, and, in particular, Support Vector Machines, can be seen as a paradigmatic instance. In this paper, some links between ...