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20242026
most citedGeneralization Error Estimates of Machine Learning Methods for Solving High Dimensional Schrödinger Eigenvalue Problems

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math.NA2026

Spectral Convergence of Random Feature Method in Multiple Dimensions

Pingbing Ming, Hao Yu

We first prove spectral convergence of the random feature method (RFM) for multidimensional targets in Sobolev, Gevrey, ultra-analytic, and bandlimited classes. The analysis establ…

math.AP2026

Sharp Mixed Spectral Barron Regularity of Coulombic Many-Electron Wave Functions

Pingbing Ming, Hao Yu

We establish sharp mixed spectral Barron regularity for eigenfunctions of molecular Coulomb Hamiltonians. The mixed norm is a Fourier norm with one isotropic weight and coord…

math.AP2026

Sharp Barron Regularity Results for Coulombic Many-Electron Wave Functions

Pingbing Ming, Hao Yu

We establish sharp Barron regularity for Coulombic many-electron wave functions after extraction of the universal cut-off Jastrow factors. Following the factorization of Fournais e…