Unbalanced optimal transport and unbalanced density control for Gaussian measures reduce exactly to finite-dimensional optimizations over masses, means, covariances, and SDP-solvable covariance steering with closed-form mass updates.
Direct methods in the calculus of variations , volume =
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Globally Solving Unbalanced Optimal Transport and Density Control for Gaussian Distributions
Unbalanced optimal transport and unbalanced density control for Gaussian measures reduce exactly to finite-dimensional optimizations over masses, means, covariances, and SDP-solvable covariance steering with closed-form mass updates.