Prelude.Backprop.Explicit

Provides "explicit" versions of all of the functions in Prelude.Backprop. Instead of relying on a Backprop instance, allows you to manually provide zero, add, and one on a per-value basis.

Since: 0.2.0.0

Foldable and Traversable

sum :: forall t a s. (Foldable t, Functor t, Num a, Reifies s W) => AddFunc (t a) -> ZeroFunc a -> BVar s (t a) -> BVar s a

Lifted sum

product :: forall t a s. (Foldable t, Functor t, Fractional a, Reifies s W) => AddFunc (t a) -> ZeroFunc a -> BVar s (t a) -> BVar s a

Lifted product

length :: forall t a b s. (Foldable t, Num b, Reifies s W) => AddFunc (t a) -> ZeroFunc (t a) -> ZeroFunc b -> BVar s (t a) -> BVar s b

Lifted length.

minimum :: forall t a s. (Foldable t, Functor t, Ord a, Reifies s W) => AddFunc (t a) -> ZeroFunc a -> BVar s (t a) -> BVar s a

Lifted minimum. Undefined for situations where minimum would be undefined.

maximum :: forall t a s. (Foldable t, Functor t, Ord a, Reifies s W) => AddFunc (t a) -> ZeroFunc a -> BVar s (t a) -> BVar s a

Lifted maximum. Undefined for situations where maximum would be undefined.

traverse :: forall t f a b s. (Traversable t, Applicative f, Foldable f, Reifies s W) => AddFunc a -> AddFunc b -> AddFunc (t b) -> ZeroFunc a -> ZeroFunc b -> ZeroFunc (t b) -> ZeroFunc (f (t b)) -> (BVar s a -> f (BVar s b)) -> BVar s (t a) -> BVar s (f (t b))

Lifted traverse. Lifts backpropagatable functions to be backpropagatable functions on Traversable Functors.

Functor and Applicative

fmap :: forall f a b s. (Traversable f, Reifies s W) => AddFunc a -> AddFunc b -> ZeroFunc a -> ZeroFunc b -> ZeroFunc (f b) -> (BVar s a -> BVar s b) -> BVar s (f a) -> BVar s (f b)

Lifted fmap. Lifts backpropagatable functions to be backpropagatable functions on Traversable Functors.

pure :: forall t a s. (Foldable t, Applicative t, Reifies s W) => AddFunc a -> ZeroFunc a -> ZeroFunc (t a) -> BVar s a -> BVar s (t a)

Lifted pure.

liftA2 :: forall f a b c s. (Traversable f, Applicative f, Reifies s W) => AddFunc a -> AddFunc b -> AddFunc c -> ZeroFunc a -> ZeroFunc b -> ZeroFunc c -> ZeroFunc (f c) -> (BVar s a -> BVar s b -> BVar s c) -> BVar s (f a) -> BVar s (f b) -> BVar s (f c)

Lifted liftA2. Lifts backpropagatable functions to be backpropagatable functions on Traversable Applicatives.

liftA3 :: forall f a b c d s. (Traversable f, Applicative f, Reifies s W) => AddFunc a -> AddFunc b -> AddFunc c -> AddFunc d -> ZeroFunc a -> ZeroFunc b -> ZeroFunc c -> ZeroFunc d -> ZeroFunc (f d) -> (BVar s a -> BVar s b -> BVar s c -> BVar s d) -> BVar s (f a) -> BVar s (f b) -> BVar s (f c) -> BVar s (f d)

Lifted liftA3. Lifts backpropagatable functions to be backpropagatable functions on Traversable Applicatives.

Misc

fromIntegral :: (Integral a, Integral b, Reifies s W) => AddFunc a -> ZeroFunc b -> BVar s a -> BVar s b

Lifted conversion between two Integral instances.

Since: 0.2.1.0

realToFrac :: (Fractional a, Real a, Fractional b, Real b, Reifies s W) => AddFunc a -> ZeroFunc b -> BVar s a -> BVar s b

Lifted conversion between two Fractional and Real instances.

Since: 0.2.1.0

coerce :: forall a b s. Coercible a b => BVar s a -> BVar s b

Coerce items inside a BVar.