Tesis doctoral de Francisco Javier Ruiz Vegas
This thesis contributes to the design of specific kernels to be used on machine learning algorithms, such as support vector machines, when the involved patterns are described by interval variables or qualitative labels. with regard to the intervals, two types of kernels are considered in this thesis: explicit kernels and implicit kernels. The first ones are based on the center-radio diagram, allowing an original geometric formalization of the set of closed intervals of the real line. On the other hand, the implicit kernels are based on the concept of interval intersection. One of the most important results in this thesis is the justification that the length of the intersection of intervals satisfies the kernel requirements. The kernel intersection can be improved by the concept of influence functions solving the problem of lack of discrimination presented in some cases by intersection kernels. with regard to the absolute orders of magnitude, using the last mathematical formulations of this structure, a similar formulation is presented showing that the set of qualitative labels supposes a discretization of the set of the intervals in the real line. This point of view allows extrapolating the results obtained in the case of intervals to the qualitative structure of orders of magnitude absolute. In addition, other methodologies are also considered, for example, the decay factor and the vectorial notation of the qualitative labels. the developed kernels will also be able to be used with precise quantitative data by a previous process of discretization. In this thesis a novel method of supervised discretization is proposed. This new method considers the existing order of the output variable (discrete or continuous variable). the developed methodologies are applied to two different situations, the first one on a financial framework and the second one in the industrial field of the painting manufacture for automobile. In the first case, the developed method of
Datos académicos de la tesis doctoral «Funciones nucleo sobre estructuras cualitativas.«
- Título de la tesis: Funciones nucleo sobre estructuras cualitativas.
- Autor: Francisco Javier Ruiz Vegas
- Universidad: Politécnica de catalunya
- Fecha de lectura de la tesis: 15/12/2006
Dirección y tribunal
- Director de la tesis
- Cecilio Angulo Bahon
- Tribunal
- Presidente del tribunal: Miguel Toro bonilla
- Fernando Pérez cruz (vocal)
- gábor Lugosi (vocal)
- Luis González abril (vocal)