Explicit closed-form solution for static KL-unbalanced OT between non-degenerate Gaussians with quadratic cost and two-sided marginal relaxations, without coupling entropy; minimizer is scaled Wasserstein coupling of adjusted marginals supported on affine graph with covariance solving Riccati.
Takatsu, Wasserstein geometry of Gaussian measures
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Closed Forms for Gaussian Kullback--Leibler Unbalanced Optimal Transport without Coupling Entropy
Explicit closed-form solution for static KL-unbalanced OT between non-degenerate Gaussians with quadratic cost and two-sided marginal relaxations, without coupling entropy; minimizer is scaled Wasserstein coupling of adjusted marginals supported on affine graph with covariance solving Riccati.