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Browsing Auburn Theses and Dissertations by Author "van Wyk, Hans Werner"
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Applications of Stochastic Gradient Descent for Optimization of Complex Systems with Uncertainty
Das, Somak (2021-07-27)
The Stochastic Gradient Descent (SGD) method in all its variations has gained popularity with the recent progress in Machine learning. In this dissertation we implement and analyze two modifications of the SGD method. In ...
Numerical Simulations of Conservation Laws in Random Heterogeneous Media
Kopruluoglu, Baris (2020-07-17)
Conservation laws play an important role in many areas of natural science. When we design numerical schemes for conservation laws, we usually assume that initial data and flux function (the rate of change of quantity of ...