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Tensor Decompositions and Gaussian Mixture Models

Student: Danila Usachev

Supervisor: Roman Avdeev

Faculty: Faculty of Computer Science

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Final Grade: 8

Year of Graduation: 2020

This paper contains information about tensor decompositions, their connection with matrix decompositions and computational algorithms, also it contains brief historical background and necessary theoretical information about tensors. In addition to tensors, most of the work is devoted to Gaussian Mixture Models (GMM) and clustering problem. Practical part includes estimating the parameters of Gaussian mixtures using tensor decompositions.

Full text (added May 20, 2020)

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