Lecture
Smooth Manifolds: Setup
In course
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Description
This lecture introduces the concept of smooth manifolds, focusing on the definition and properties of these mathematical structures. The instructor clarifies the meaning of 'smooth' and emphasizes the importance of understanding submanifolds of linear spaces before delving into general manifolds. Different definitions of smooth submanifolds are presented, with an emphasis on practicality and theoretical equivalence.
In MOOC
Introduction to optimization on smooth manifolds: first order methods
Learn to optimize on smooth, nonlinear spaces: Join us to build your foundations (starting at "what is a manifold?") and confidently implement your first algorithm (Riemannian gradient descent).
Instructor
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Official source
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Ontological neighbourhood
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