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Mathematical Proofs for SPD Inner Products and Pseudo-Gyrodistances in Manifold Layers

4 Dec 2024

Detailed proofs for SPD spaces, inner products, pseudo-gyrodistances, and FC layers, referencing Nguyen & Yang (2023) and Pennec et al. (2020).

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Canonical Representations and Computation in SPD Matrices

4 Dec 2024

Learn to Compute canonical representations for SPD matrices using orthonormal matrices & SVD, enabling efficient geometric applications and matrix manipulation

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What Are Gyrocommutative Gyrogroups?

3 Dec 2024

Gyrogroups, gyrocommutative gyrogroups, and gyrovector spaces are key to hyperbolic geometry and AI, offering insights into advanced mathematical structures

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The Limitations of GyroSpd++ and Gr-GCN++ in Human Action Recognition and Graph Embedding Tasks

3 Dec 2024

GyroSpd++ and Gr-GCN++ face limitations with hybrid methods and different Riemannian metrics, suggesting a need for optimization in SPD and Grassmann networks.

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Evaluating Gr-GCN++ for Node Classification Across Various Datasets: Results and Comparisons

3 Dec 2024

Gr-GCN++ outperforms competitors in node classification across Airport, Pubmed, and Cora datasets, highlighting the value of perspective in Grassmann manifolds

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Exploring the Impact of Riemannian Metrics in Human Action Recognition Tasks Using GyroSpd++

3 Dec 2024

Evaluate GyroSpd++ for human action recognition using HDM05, FPHA, NTU60 datasets, with insights on performance, design, and comparisons to other methods

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Key Notations and Algorithm for Computing Pseudo-Gyrodistances in Structure Spaces

2 Dec 2024

Learn notations and algorithms for computing pseudo-gyrodistances, crucial for MLR in Riemannian manifold-based neural networks.

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Bridging Geometry and Deep Learning: Key Developments in SPD and Grassmann Networks

2 Dec 2024

This paper presents novel advancements in SPD neural networks and Grassmann geometry for action recognition and node classification.

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New Riemannian Networks Outperform Traditional Models in Action Recognition and Node Classification

2 Dec 2024

GyroSpd++ and Gr-GCN++ outperform baselines in human action recognition and node classification, showing superior accuracy on NTU60, FPHA, and Pubmed datasets.