The Gyro-Structure of Some Matrix Manifolds

This supplemental material provides the proofs for the Theorems and Lemmas presented in our paper. In Sections 7 and 8, we give more details on the proposed methods, datasets, experimental settings, and experimental results. To further demonstrate the applicability of our approach, we present a method for knowledge graph completion in Section 9. Please see the paper for references. Each frame contains the 3D coordinates of 31 body joints. We use all the action classes and follow the experimental protocol [15] in which 2 subjects are used for training and the remaining 3 subjects are used for testing.