A new thesis proposes a unified framework for Riemannian deep learning, addressing challenges with manifold-valued representations. The work introduces reusable neural modules, manifold-specific network architectures, and novel geometric designs. Key developments include generalized batch normalization for Lie groups and gyrogroups, and extensions of logistic regression to various manifolds, including hyperbolic space and SPD manifolds. AI
IMPACT Introduces new mathematical frameworks that could enable more robust and efficient deep learning models for complex data types.
RANK_REASON The item is an academic paper detailing novel research in deep learning. [lever_c_demoted from research: ic=1 ai=1.0]
- arXiv
- Cholesky decomposition
- gyrogroups
- hyperbolic space
- Lie Groups
- Log-Euclidean geometries
- Riemannian Deep Learning
- SPD manifolds
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