ManifoldDiff

The package ManifoldDiff aims to provide automatic calculation of Riemannian gradients of functions defined on manifolds. It builds upon Manifolds.jl.

Naming scheme

Providing a derivative, differential or gradient for a given function, this package adds that information to the function name. For example

• grad_f for a gradient $\operatorname{grad} f$
• subgrad_f for a subgradient from the subdifferential$\partial f$
• differential_f for $Df$ (also called pushforward)
• differential_f_variable if f has multiple variables / parameters, since a usual writing in math is $f_x$ in this case
• adjoint_differential_f for pullbacks
• adjoint_differential_f_variable if f has multiple variables / parameters
• f_derivative for $f'$

the scheme is not completely fixed but tries to follow the mathematical notation.