ott.geometry.costs.SoftDTW

class ott.geometry.costs.SoftDTW(gamma, ground_cost=None, debiased=False)

Soft dynamic time warping (DTW) cost [Cuturi and Blondel, 2017].

Parameters:

• gamma (float) – Smoothing parameter \(> 0\) for the soft-min operator.

• ground_cost (Optional[CostFn]) – Ground cost function. If None, use SqEuclidean.

• debiased (bool) – Whether to compute the debiased soft-DTW [Blondel et al., 2021].

Methods

all_pairs(x, y)	Compute matrix of all pairwise costs, including the norms.
barycenter(weights, xs)	Barycentric operator.
twist_operator(vec, dual_vec, variable)	Twist inverse operator of the cost function.