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
iff
has multiple variables / parameters, since a usual writing in math is $f_x$ in this caseadjoint_differential_f
for pullbacksadjoint_differential_f_variable
iff
has multiple variables / parametersf_derivative
for $f'$jacobian_f
for Jacobian matrix of $f$.jacobian_f_variable
iff
has multiple parameters.
the scheme is not completely fixed but tries to follow the mathematical notation.