GeoTorch v0.1.0

Initial release

Implements the following manifolds:

• Rn(n): Rⁿ. Unrestricted optimization
• Sym(n): Vector space of symmetric matrices
• Skew(n): Vector space of skew-symmetric matrices
• Sphere(n): Sphere in Rⁿ. It is Sⁿ⁻¹ = { x ∈ Rⁿ | ||x|| = 1 }
• SO(n): Manifold of n×n orthogonal matrices
• Stiefel(n,k): Manifold of n×k matrices with orthonormal columns
• Grassmannian(n,k): Manifold of k-dimensional subspaces in Rⁿ
• LowRank(n,k,r): Variety of n×k matrices of rank r or less

And the following constructions:

• Manifold: Manifold that supports Riemannian Gradient Descent and trivializations
• Fibration: Fibred space π : E → M, constructed from a Manifold E, a submersion π and local sections of dπ
• ProductManifold: M₁ × ... × Mₖ