Lecture

Gradient and Hessian of Pullback

Description

This lecture explains the relationship between the Riemannian gradients and Hessians of a function f and the Euclidean gradient and Hessian of the pullback at a given point x. By examining the Taylor expansion of the pullback, the instructor demonstrates how these quantities are related, particularly at critical points. The lecture concludes by highlighting the practical implications of this relationship for further analysis.

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