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There are several functions required within optimization, most prominently [costFunctions](@ref CostFunctions) and [gradients](@ref GradientFunctions). This package includes several cost functions and corresponding gradients, but also corresponding [proximal maps](@ref proximalMapFunctions) for variational methods manifold-valued data. Most of these functions require the evaluation of [Differential](@ref DifferentialFunctions)s or their AdjointDifferentials as well as [JacobiFields](@ref JacobiFieldFunctions) (e.g. easily to evaluate for symmetric manifolds).

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