3 papers
math.PR2026
High-Dimensional Spectral Limits for Gaussian KL-Unbalanced Optimal Transport
Jiaping Yang, Yunxin Zhang
We study high-dimensional random-matrix limits of Gaussian Kullback--Leibler unbalanced optimal transport (KL-UOT). Under equal marginal penalties, the covariance action admits an…
math.AG2026
Bures Geodesics and Restricted Barycenters for Kronecker Positive Definite Matrices
Jiaping Yang, Yunxin Zhang
We study the extrinsic Bures--Wasserstein geometry of the determinant-normalized Kronecker model $\mcK_n=\{V\ot U:U,V\in\Sp^n,\ \det U=1\}\subset\Sp^{n^2}$, asking when the ambient…
math.OC2026
Closed Forms for Gaussian Kullback--Leibler Unbalanced Optimal Transport without Coupling Entropy
Jiaping Yang, Yunxin Zhang
We obtain an explicit solution for the static Kullback--Leibler (KL) unbalanced optimal transport problem between finite non-degenerate Gaussian measures with quadratic cost, two i…