├── .github └── workflows │ └── test.yml ├── .gitignore ├── notebooks ├── Euclidean PCA as Optimization on Grassmann Manifold.ipynb ├── Log Determinant Optimization on SPD manifold.ipynb └── Trace Regression on SPD manifold (AI vs BW).ipynb ├── readme.md ├── rieoptax ├── __init__.py ├── geometry │ ├── __init__.py │ ├── base.py │ ├── coupling.py │ ├── euclidean.py │ ├── grassmann.py │ ├── hyperbolic.py │ ├── hypersphere.py │ ├── nfold.py │ ├── spd.py │ └── stiefel.py ├── mechanism │ ├── __init__.py │ ├── gradient_perturbation.py │ └── output_perturbation.py ├── nn │ ├── __init__.py │ ├── _lorentz.py │ ├── _poincare_ball.py │ ├── hyperbolic.py │ └── readme.md ├── optimizers │ ├── __init__.py │ ├── base.py │ ├── combine.py │ ├── first_order.py │ ├── privacy.py │ ├── rtx_train_state.py │ ├── transforms.py │ ├── update.py │ └── zeroth_order.py └── utils │ ├── embeddings.py │ └── principal_components.py ├── setup.cfg ├── setup.py └── tests ├── test_hyperbolic.py └── test_spd.py 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