Author

Yun-Xin Zhang

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Open access Sep 2026

Optimal NESS transitions in underdamped systems with memory

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 overdamped systems, many settings of practical interest —including nanomechanical resonators, biomolecular conformational dynamics, and quant...

Tian-Yu Luo, Yun-Xin Zhang · Europhysics letters · 0 citations

Preprint Sep 2026

Gaussian-Restricted Barycenters for KL-Unbalanced Optimal Transport: Variational Theory and Fixed-Point Convergence

This work studies Gaussian-restricted barycenters for quadratic two-sided Kullback--Leibler unbalanced optimal transport with independent marginal penalties and no coupling entropy to establish global attainment, derive the stationary moment equations, and construct a reverse-KL majorization--minimization iteration.

Jia-Ping Yang, Yun-Xin Zhang · 0 citations

Preprint Aug 2026

High-Dimensional Spectral Limits for Gaussian KL-Unbalanced Optimal Transport

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 exact log-determinant representation in terms of a nonlinear ridge product, together with a positive-semidefinite extension that remains fin...

Jia-Ping Yang, Yun-Xin Zhang · 0 citations