Author

Yangshuai Wang

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Preprint Oct 2026

From Energy-Force Weighting to Primal-Dual Optimization of Machine-Learned Interatomic Potentials

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, identifies a potential only relative to the complete fitting protocol. We therefore treat energy--force balancing as a protocol-dependent problem...

Chen-Yu Wang, Yang-Shuai Wang, Lei Zhang · 0 citations

Jul 2026

Residual-Christoffel Sampling for Random Feature Collocation of Linear PDEs

Random feature collocation fixes a randomly generated trial space and determines its coefficients from a linear least-squares system. Stability then depends on whether the sampled residual equations represent the geometry induced by the differential operator. We construct an operator-aware discretization in which the o...

Jiale Linghu, Yangshuai Wang · arXiv.org · 0 citations

Preprint Aug 2026

Optimal Sobolev Approximation by Deterministic and Random Shallow Sigmoidal Networks

It is proved that dictionaries obtained by independent parameter sampling from any prescribed density bounded away from zero attain the same approximation exponent with high probability, up to logarithmic oversampling.

Zhaohui Fu, Yang-Shuai Wang · 1 citation