Apply UOT coupling as a barycentric map (dense, vector signal)

Computes \(\hat s_j = (\sum_i \pi_{ij} s_i) / (\pi_{2,j} + \delta)\) without materializing \(\pi\), using translation-invariant potentials.

Usage

uot_apply_map_dense_vec_cpp(
  cost,
  alpha,
  beta,
  fbar,
  gbar,
  epsilon,
  signal,
  delta = 1e-08
)

Arguments

cost

Dense cost matrix (n x m).

alpha

Source masses (length n).

beta

Target masses (length m).

fbar

Translation-invariant source potential (length n).

gbar

Translation-invariant target potential (length m).

epsilon

Entropic regularization parameter (> 0).

signal

Source signal vector (length n).

delta

Stabilizer added to the denominator.

Value

A numeric vector (length m) in template space.