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Learning the Kohn-Sham map with neural operators for quasi-linear scaling density functional theory

arXiv · AI, language, vision and robotics · article · Aug 24, 2026 · UTC

Kohn--Sham density functional theory (DFT) underpins electronic-structure simulations, but repeated orbital diagonalizations lead to cubic scaling, restricting quantum calculations to modest scales only. Eliminating these auxiliary orbitals while retaining Kohn--Sham accuracy is the central goal of orbital-free DFT, but both analytical and machine-learning methods have so far fallen short. Prior learning approaches either try to learn the variational kinetic-energy functionals, which are ill-conditioned, or directly predict the ground state, which extrapolate poorly to larger systems. Instead,

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Evidence & attribution

First collected: 2026-09-21T10:22:00.206Z. This is not the publication date.