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physics.comp-ph2026
From Energy-Force Weighting to Primal-Dual Optimization of Machine-Learned Interatomic Potentials
Chenyu Wang, Yangshuai Wang, Lei Zhang
Machine-learned interatomic potentials are commonly fitted by weighted-sum scalarization, which combines energy and force errors in a single loss. A nominal weight, however, identi…
math.NA2026
Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization
Siqi Chen, Shi Jin, Lei Zhang
We study quantum algorithms for nonlinear and stochastic homogenization via a Young-measure based linear programming (LP) formulation, which lifts the nonlinear problem to a linear…