46 citations · 238 across the 59 of their papers we have counts for
59 papers
Gaussian-Restricted Barycenters for KL-Unbalanced Optimal Transport: Variational Theory and Fixed-Point Convergence
Jiaping Yang, Yunxin Zhang
We study Gaussian-restricted barycenters for quadratic two-sided Kullback--Leibler unbalanced optimal transport with independent marginal penalties and no coupling entropy. Exact p…
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…
Minkowski-Type Wasserstein Metrics and Barycenters for Location-Scale Mixtures with Application to Domain Adaptation
Songyan Luo, Yunxin Zhang
Discrete optimal transport (OT) typically relies on pointwise matching between empirical measures, incurring computational costs that scale at least quadratically with the sample s…
Optimal transition in underdamped systems with memory
Tianyu Luo, Yunxin Zhang
Optimal finite-time control is essential for energy-efficient operation of nanoscale devices. While existing work has largely focused on transitions between equilibrium states in o…
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…
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…