Mathematics Projects, Dissertation, Thesis, Research Papers, Maths Examples, Working Papers, Resources and Information

Missing Value Problem

In this project, we will evaluate methods to imputation and utilize them on data gathered by Equal Employment Opportunity Commission. In the beginning, I discuss a number of imputation methods and analyze concept of multiple imputation (MI). Next, I evaluate difficulties with missing data and describe an artificial data simulation.

Global Optimization of Gaussian Mixture Models

This project provides a group of new algorithms designed to deliver globally optimal solutions for Gaussian mixture models. The Expectation-Maximization algorithm is definitely a popular and straightforward way for the estimation of Gaussian mixture models along with its natural extension, model-based clustering. Having said that, although the algorithm is not hard to use and numerically it is very stable but it provides solutions which are locally optimal.

Linear and Non-linear Deformations of Stochastic Processes

The objective of this section is to offer some background material and inspire, in addition to in short describe, the content of the first 2 papers of this thesis. At the very hart of Hilbert space theory and its apps lies the idea of an orthonormal sequence, i.e. a series of pairwise orthogonal elements of norm one from the underlying space.