This paper introduces FC and convolutional layers tailored for symmetric positive definite (SPD) neural networks, successfully applying MLR to symmetric positive semi-definite (SPSD) manifolds.
We demonstrate an innovative backpropagation technique using the Grassmann logarithmic map from a projector perspective, which enhances the performance of generalized convolutional networks.
Our experimental results affirm the effectiveness of extending Graph Convolutional Networks to Grassmann geometry, particularly excelling in tasks such as human action recognition and node classification.
#neural-networks #grassmann-geometry #human-action-recognition #node-classification #backpropagation-techniques
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