[Haskell-cafe] Questions about Numeric.AD / Automatic differentiation
Sean Matthews
seanmatthews1 at gmail.com
Mon Nov 20 22:05:31 UTC 2017
I'm having some problems with Numeric.AD (translation, things are not
working for reason that I don't understand). Note I don't have much
experience with this package, so these are newbie questions, thus
appropriate answers may involve pointing me to a document somewhere out
there on the net.
Anyway, here is my problem:
I have a function (call it f x theta) which I have defined purely in terms
of basic arithmetic functions (+/-/(/)/*/**) glued together using standard
applicative functor operations has type
f :: m1 (m2 Double) -> m3 Double -> Double
f x theta = ...
m1 m2 and m3 are all Traversable.
f is defined purely in terms of basic arithmetic operations, (+/-/(/)/*/**)
glued together using standard applicative functor operations, and m1 m2 and
m3 are all pretty trivial record types (no recursion, even).
I would like to write
df x theta = grad (f x) theta
But it refuses to type, even though (admittedly quite a lot) simpler
versions do.
So what am I missing? Does AD not go through Applicative? That seems
unlikely to me.
Any advice / suggestions, etc. gratefully received.
Sean Matthews
--
Sean Matthews
seanmatthews1 at gmail.com / +49 1515 800 1901
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