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Vectored AD #2

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ekmett opened this Issue Jun 26, 2010 · 0 comments

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@ekmett
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ekmett commented Jun 26, 2010

It would be nice to invert our current control mechanism so that instead of having

grad :: (Traversable f, Num a) => (forall s. Mode s => f (AD s a) -> AD s a) -> f a -> f a

we could have (also factoring in issue 1):

type RAD = AD Reverse

grad :: (Traversable f, Num a) => (forall s. RAD f s a -> RAD Scalar s a) -> f a -> f a

This can then be used to allow us to unify instance heads for the various UU, UF, FU, FF arguments, allow vgrad to take multiple 'containers' worth of AD variables, and it can act as a path to support Taylor Series-of-Matrices rather than Matrices-of-Taylor Series for better ability to leverage traditional BLAS packages, etc.

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