Manopt: Optimization Toolbox for Manifolds

Related lectures (31)

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Explores smooth manifolds through diffeomorphisms and embedded submanifolds in a linear space.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Covers the concept of local frames, their construction, and limitations.

Explores the definition of connections for smooth vector fields on manifolds.

Explores computing gradients on Riemannian manifolds through extensions and retractions, emphasizing orthogonal projectors and smooth extensions.

Explores comparing tangent vectors and parallel transport on manifolds.

Covers retractions, tangent bundles, and embedded submanifolds on manifolds with proofs and examples.

Explores connections on manifolds, emphasizing the axiomatic definition and properties of derivatives in differentiating vector fields.

Explores orthogonality, Gram-Schmidt process, dot products, and solution minimization in systems.