• MULTI-AGENT UNMANNED UNDERWATER VEHICLE VALIDATION VIA ROLLING-HORIZON ROBUST GAMES 

  Quigley, Kevin J (2019)

  Autonomy in unmanned underwater vehicle (UUV) navigation is critical for most applications due to inability of human operators to control, monitor or intervene in underwater environments. To ensure safe autonomous navigation, ...

• Low-Rank Solution Methods for Discrete Parametrized Partial Differential Equations 

  Su, Tengfei (2019)

  Stochastic partial differential equations are widely used to model physical problems with uncertainty. For numerical treatment, the stochastic Galerkin discretization in general gives rise to large, coupled algebraic systems ...

• Harmonic Analysis and Machine Learning 

  Pekala, Michael (2018)

  This dissertation considers data representations that lie at the interesection of harmonic analysis and neural networks. The unifying theme of this work is the goal for robust and reliable machine learning. Our specific ...

• ERROR ANALYSIS OF NUMERICAL METHODS FOR NONLINEAR GEOMETRIC PDEs 

  Li, Wenbo (2019)

  This dissertation presents the numerical treatment of two classes of nonlinear geometric problems: fully nonlinear elliptic PDEs and nonlinear nonlocal PDEs. For the fully nonlinear elliptic PDEs, we study three problems: ...

• THEORIES OF BALDWIN-SHI HYPERGRAPHS: THEIR ATOMIC MODELS AND REGULAR TYPES 

  Gunatilleka, Mestiyage Don Danul Kavindra (2019)

  In [1], Baldwin and Shi studied the properties of generic structures built from certain Fraı̈ssé classes of weighted hypergraphs equipped with a notion of strong substructure. Here we focus on a particularly important ...

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