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Tensors

Student: Mikhail Godunov

Supervisor: Roman Avdeev

Faculty: Faculty of Computer Science

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Year of Graduation: 2020

In this paper, various methods of multilinear analysis of images of a human face based on tensor decompositions will be investigated. The use of multilinear image analysis is motivated by the fact that the image is the result of a combination of several factors: age, lighting conditions, postures, etc. Although we would be more interested in knowledge about these basic factors, we can only observe the result (i.e. pixels). Multilinear algebra, or higher-order tensor algebra, offers a powerful mathematical basis for analyzing the multi-factorial structure of images and using their "hidden variables" to solve face recognition problems.

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