137 citations · 235 across the 26 of their papers we have counts for
5 papers · 1 filter
The Scott-Vogelius element is inf-sup stable on Freudenthal meshes for
Siqi Ding, Pingbing Ming, Haijun Yu +1
The Scott-Vogelius element is a classical divergence-free mixed finite element for the Stokes problem that has attracted decades of research attention, yet its theoretical framewor…
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…
Why Multi-Layer Message Passing Works: Completeness Theory for Graph Neural Network Interatomic Potentials
Pingbing Ming, Han Wang
We prove that the Hypergraph Neural Network, an invariant architecture with 3-body message passing, is a universal approximator for potential energy surfaces. Our main contribution…
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…
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…