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Geometric Deep Learning for Inverse Graphics

Student: Kozlukov Sergei

Supervisor: Vladimir Spokoiny

Faculty: Faculty of Computer Science

Educational Programme: Statistical Learning Theory (Master)

Final Grade: 7

Year of Graduation: 2020

This thesis deals with geometric methods in deep learning. The main contribution is to refine the theoretical grounds of hyperbolic neural networks. On the experimental side, the thesis proposes two proof-of-concept models that attempt to benefit from hyperbolic representations in problems of point cloud and image classification, discusses the failure of these models, and possible ways to fix these failures. As this work does not (yet) achieve the desired goal of constructing principled symmetry and curvature-aware neural layers applicable in computer vision tasks, the author also considers this thesis a map for the future research.

Full text (added May 27, 2020)

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