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Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
Symmetric positive definite (SPD) matrices have become fundamental computational objects in many areas. It is often of interest to average a collection of symmetric positive definite matrices. This dissertation investigates different...
This thesis introduces in detail how we apply deep neural networks to solve several natural language processing problems, including Word Sense Disambiguation (WSD), word representation and knowledge-base completion. We apply...
In this paper we consider the same problem as the one in \cite{F-H-2016} in continuous time. That is a Monge-Kantorovich like problem under some portfolio constraints but the set of transport plans does not have to be the martingale...
Our aim is to study the affine dimension of some smooth manifolds. In Chapter 1, we review the notions of Minkowski and Hausdorff dimension, and compare them with the lesser studied affine dimension. In Chapter 2, we focus on...
Hypernetworks, sometimes called hypergraphs, generalize the concept of a graph by allowing edges to join any number of vertices, gaining the ability to capture multi-way relationships in data. This hypernetwork representation can...
Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.