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Value function approximation methods for Linearly-solvable Markov Decision Process
(2014-02-24)
Optimal control provides an appealing machinery to complete complicated control tasks with limited prior knowledge. Both global methods and online trajectory optimization methods are powerful techniques for solving optimal control problems; however, each has limitations. The global methods are directly or indirectly based on ...
On driven neural assemblies: synchrony, chaos and entropy.
(2014-02-24)
In this dissertation, I address mathematical problems arising from the field of theo- retical neuroscience that share a common theme: temporally driven neural networks treated as perturbed, coupled nonlinear dynamical systems. Guided by this theme, I present projects falling in two main categories. The first relates to ...
Finite volume methods for Tsunamis generated by submarine landslides
(2014-04-30)
Submarine landslides can generate tsunamis, and the generated waves can be catastrophic when a large volume of landslide material is involved. Moreover, large earthquakes are often accompanied by submarine landslides that can enhance the magnitude of the resulting tsunamis. In this thesis, numerical schemes are developed to ...