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

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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…