You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
I am torn, compound is more familiar to people, but somehow it obscures the compositional nature even more and I wouldn't know how to name the other compositions which are (kf)(x) = ∫ f(y) k(x, dy) and (k₁k₂)(x) = ∫∫ k₁(x,dy) k₂(y, dz)
Based on the Twitter discussion here we could also consider making kernels callable not just on values, but also on measures. Then composition of kernels would just be $\circ$, as usual.
For push-forwards, we have
pushfwd(f, m)
If the
f
of a pushforward is noisy, it becomes a kernel, and the pushforward becomes a compound measure:https://en.wikipedia.org/wiki/Compound_probability_distribution
This is currently called
bind
, because it matches the monadic bind operation from functional programming. Butbind
is unfamiliar to most users.Maybe this should instead be
compound(k, m)
where
k
is a kernel. For functions, we'd haveFor more discussion, see #226
The text was updated successfully, but these errors were encountered: