Discriminative training for Convolved Multiple-Output Gaussian processes

Multi-output Gaussian processes (MOGP) are probability distributions over vector-valued functions, and have been previously used for multi-output regression and for multi-class classification. A less explored facet of the multi-output Gaussian process is that it can be used as a generative model for vector-valued random fields in the context of pattern recognition. As a generative model, the multi-output GP is able to handle vector-valued functions with continuous inputs, as opposed, for example, to hidden Markov models. It also offers the ability to model multivariate random functions with high dimensional inputs. In this report, we use a discriminative training criteria known as Minimum Classification Error to fit the parameters of a multi-output Gaussian process. We compare the performance of generative training and discriminative training of MOGP in emotion recognition, activity recognition, and face recognition. We also compare the proposed methodology against hidden Markov models trained in a generative and in a discriminative way

Model Selection for Latent Force Models

En esta tesis exploramos varias extensiones para los modelos de fuerza latente (MFL). Primero, el numero de fuerzas latentes is seleccionado automaticamente por medio del Proceso del Buffet lndio. Segundo, estimamos la funcic’m de respuesta al impulso (FRI) de sistemas lineales e invariantes en el tiempo usando las funciones de Laguerre sobre los MFL y los MFL secuenciales. Finalmente, se desarrollan métodos enfocados en la estimacién de la fuerza latente y FRI sobre sistemas dinamicos de tipo Wiener