Technical University of Berlin, 2017. — 129 p. The main goal of the thesis is to address the computational difficulties inherent in a family of discrete optimization problems which we here refer to as augmented MAP inference. In particular, our main focus is on the exact inference, which is known to be NP-hard in general. As the main result, I define a large class of tractable...
University of Kaiserslautern, 2018. — 168 p. A popular model for the locations of fibres or grains in composite materials is the inhomogeneous Poisson process in dimension 3. Its local intensity function may be estimated non-parametrically by local smoothing, e.g. by kernel estimates. They crucially depend on the choice of bandwidths as tuning parameters controlling the smoothness...
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