MOLERO DEL RÍO , María Cristina

The ability of a firm to produce goods and/or services and market them effectively depends largely on the location of its facilities. Location theory deals with the modelling, formulation and solution of mathematical problems related to sitting facilities in a given space. In this text, we focus on competitive location models. The root of...

Muchos problemas de la vida real pueden modelarse como problemas de clasificación, tales como la detección temprana de enfermedades o la concesión de crédito a un cierto individuo. La Clasificación Supervisada se encarga de este tipo de problemas: aprende de una muestra con el objetivo final de inferir observaciones futuras. Hoy en día, existe...

Esta tesis combina las disciplinas de Investigación Operativa y Aprendizaje Automático a través del desarrollo de formulaciones de Optimización Matemática y algoritmos de resolución numérica para construir modelos basados en árboles de clasificación y regresión. A diferencia de los árboles de clasificación y regresión clásicos, generados de...

Classification and regression trees, as well as their variants, are off-the-shelf methods in Machine Learning. In this paper, we review recent contributions within the Continuous Optimization and the Mixed-Integer Linear Optimization paradigms to develop novel formulations in this research area. We compare those in terms of the nature of the...

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 accommodate important desirable properties for the regression task, such as cost-sensitivity and fairness. Thanks to the...