Browsing Theses by Supervisor "De Sterck, Hans"
Now showing items 1-7 of 7
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Algorithms and Models for Tensors and Networks with Applications in Data Science
(University of Waterloo, 2016-01-19)Big data plays an increasingly central role in many areas of research including optimization and network modeling. We consider problems applicable to large datasets within these two branches of research. We begin by ... -
Bidirectional TopK Sparsification for Distributed Learning
(University of Waterloo, 2022-05-27)Training large neural networks requires a large amount of time. To speed up the process, distributed training is often used. One of the largest bottlenecks in distributed training is communicating gradients across different ... -
Data-Driven Methods for System Identification and Lyapunov Stability
(University of Waterloo, 2023-01-27)This thesis focuses on data-driven methods applied to system identification and stability analysis of dynamical systems. In the first major contribution of the theorem we propose a learning framework to simultaneously ... -
Generative Modeling with Neural Ordinary Differential Equations
(University of Waterloo, 2019-12-19)Neural ordinary differential equations (NODEs) (Chen et al., 2018) are ordinary differential equations (ODEs) with their dynamics modeled by neural networks. Continuous normalizing flows (CNFs) (Chen et al., 2018; Grathwohl ... -
Mathematical Modelling of Social Factors in Decision Making Processes at the Individual and Population Levels
(University of Waterloo, 2016-08-11)In this thesis we apply mathematical modelling techniques to investigate the implications of social influence on decision making processes in two related contexts. The first problem concerns the mathematical modelling ... -
Nonlinear Preconditioning Methods for Optimization and Parallel-In-Time Methods for 1D Scalar Hyperbolic Partial Differential Equations
(University of Waterloo, 2017-10-18)This thesis consists of two main parts, part one addressing problems from nonlinear optimization and part two based on solving systems of time dependent differential equations, with both parts describing strategies for ... -
A Taylor polynomial expansion line search for large-scale optimization
(University of Waterloo, 2016-08-29)In trying to cope with the Big Data deluge, the landscape of distributed computing has changed. Large commodity hardware clusters, typically operating in some form of MapReduce framework, are becoming prevalent for ...