ott.geometry.costs.CostFn

class ott.geometry.costs.CostFn

A generic cost function, taking two vectors as input.

Cost functions evaluate a function on a pair of inputs. For convenience, that function is split into two norms – evaluated on each input separately – followed by a pairwise cost that involves both inputs, as in

c(x,y) = norm(x) + norm(y) + pairwise(x,y)

If the norm function is not implemented, that value is handled as a 0.

Methods

all_pairs(x, y)	Compute matrix of all costs (including norms) for vectors in x / y.
all_pairs_pairwise(x, y)	Compute matrix of all pairwise-costs (no norms) for vectors in x / y.
barycenter(weights, xs)	rtype float
padder(dim)	rtype ndarray
pairwise(x, y)	rtype float

Attributes

norm