11 papers
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…
Asymptotics of Protein Number Distribution in Stochastic Gene Expression Models under Burst Approximation
Yuntao Lu, Yunxin Zhang
The burst approximation is a widely used technique to simplify stochastic gene expression models. However, the dynamics and analytical properties of the protein number distribution…
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…
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…