J
M
Last name: JIMÉNEZ CORDERO
First name: María Asunción
Universidad de Sevilla. Máster Universitario en Matemáticas
El objetivo de esta tesis doctoral es desarrollar nuevos métodos para la clasificación y regresión supervisada en el Análisis de Datos Funcionales. En particular, las herramientas de Optimización Matemática analizadas en esta tesis explotan la naturaleza funcional de los datos, dando lugar a nuevas técnicas que pueden mejorar los métodos...
When classification methods are applied to high-dimensional data, selecting a subset of the predictors may lead to an improvement in the predictive ability of the estimated model, in addition to reducing the model complexity. In Functional Data Analysis (FDA), i.e., when data are functions, selecting a subset of predictors corresponds to...
Model inference is a challenging problem in the analysis of chemical reactions networks. In order to empirically test which, out of a catalogue of proposed kinetic models, is governing a network of chemical reactions, the user can compare the empirical data obtained in one experiment against the theoretical values suggested by the models under...
Functional Data Analysis (FDA) is devoted to the study of data which are functions. Support Vector Ma- chine (SVM) is a benchmark tool for classification, in particular, of functional data. SVM is frequently used with a kernel (e.g.: Gaussian) which involves a scalar bandwidth parameter. In this paper, we pro- pose to use kernels with...
When continuously monitoring processes over time, data is collected along a whole period, from which only certain time instants and certain time intervals may play a crucial role in the data analysis. We develop a method that addresses the problem of selecting a finite and small set of short intervals (or instants) able to capture the...
A fundamental problem in the analysis of chemical reactions networks consists of identifying concentration values along time or in steady state which are coherent with the experimental concentration data available. When concentration measurements are incomplete, either because information is missing about the concentration of a species at a...