Learning on manifolds

Learning on manifolds

The conference paper provides a brief introduction into manifolds from a computer vision perspective. Important manifolds for this research field, like symmetric positive definite matrices and affine transformation matrices, are presented. Furthermore, deep learning methods for important applications like motion estimation, affine motion tracking and pose invariant object detection are outlined.

A comprehensive survey of geometric deep learning

The survey provides a comprehensive overview of deep learning methods for geometric data (point clouds, voxels, network graphs etc.). The relevant knowledge and theoretical background of geometric deep learning is presented first. In the following section, different network models for graph and manifold data are reviewed. Finally, applications of these methods in various fields and… Continue reading A comprehensive survey of geometric deep learning

An introduction to manifolds

This book provides an introduction to the theory of manifolds in an easy readable way. Key concepts of manifolds, angent spaces and Lie group / Lie algebra are presented. Furthermore, it gives an introduction into differential forms, integration and De Rham theory.