3 papers
math.ST2026
Two-Sample Inference for Gaussian-Smoothed Wasserstein Costs with Finite Moments
Jiaping Yang, Yunxin Zhang
Gaussian smoothing has emerged as an effective technique for reducing the sample complexity of optimal transport. In this paper, we study the two-sample plug-in estimator of the Ga…
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…