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Browsing Applied Mathematics by Subject "Neural Networks"
Now showing items 1-3 of 3
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Bifurcation Analysis of Large Networks of Neurons
(University of Waterloo, 2015-12-23)The human brain contains on the order of a hundred billion neurons, each with several thousand synaptic connections. Computational neuroscience has successfully modeled both the individual neurons as various types of ... -
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 ... -
A Novel Mathematical Framework for the Analysis of Neural Networks
(University of Waterloo, 2017-08-22)Over the past decade, Deep Neural Networks (DNNs) have become very popular models for processing large amounts of data because of their successful application in a wide variety of fields. These models are layered, often ...