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Part 1: Foundations of geometric statistics
1: Introduction to differential and Riemannian geometry
1.3. Riemannian manifolds
1.4. Elements of analysis in Riemannian manifolds
1.5. Lie groups and homogeneous manifolds
1.6. Elements of computing on Riemannian manifolds
1.8. Additional references
2: Statistics on manifolds
2.2. The Fréchet mean
2.3. Covariance and principal geodesic analysis
2.4. Regression models
2.5. Probabilistic models
3: Manifold-valued image processing with SPD matrices
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