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Optimization over Orthogonal Matrices for Manifold Learning Tasks

Student: Olesia Romanova

Supervisor: Yury Yanovich

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Mathematical Methods of Modelling and Computer Technologies (Master)

Final Grade: 8

Year of Graduation: 2019

In this work we consider the tangent space estimation using the principal component analysis. It is proposed to improve the estimation by using information about the carrier and averaging on the Grassmann manifold. The obtained result showed higher accuracy in comparison to standard method.

Full text (added May 19, 2019)

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