Description
Date depot: 13 mars 2019
Titre: Advancements in Deep Gaussian Processes and Applications
Directeur de thèse:
Maurizio FILIPPONE (Eurecom)
Domaine scientifique: Sciences et technologies de l'information et de la communication
Thématique CNRS : Non defini
Resumé:
Today, we have access to so much data
generated by a variety of sensors, but we are facing difficulties in using
these data in a sensible way.
Machine Learning and Statistics offer
the main tools to help making sense of data, and novel techniques in this domain
will be used and developed throughout this project.
Quantification of risk and
decision-making require accurate quantification of uncertainty, which is a
major challenge in many areas of sciences involving complex phenomena like in
finance, environmental and life sciences.
In order to accurately quantify uncertainty,
we employ flexible and accurate tools offered by modern statistical models.
However, today's diversity and abundance of data make it difficult to use these
models in practice. The goal of this project is to propose new ways to better
manage the interface between computational and statistical models - which in
turn will help get accurate quantification of the confidence in the predictions
based on observed data.
This Ph.D. project focuses on the
following methodological advances:
1 - Fast low-rank approximations for
Gaussian process and Deep Gaussian process models, using structured random
matrix theory.
2 - Combinations of Deep Neural Nets and
Convolutional Neural Nets with Gaussian processes and Deep Gaussian processes
Doctorant.e: Tran Gia Lac