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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 quan...

Tian-Yu Luo, Yun-Xin Zhang · 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

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