Unverified50% confidenceFactExact time
The current Gaussian splatting DFT method has three limitations: small errors introduced by density fitting, a relatively large number of iteration steps required for convergence, and fixed basis sets still being better on very small molecules.
1
Sources
50%
Confidence
Medium-term (~90 days)
Relevance
11/2/2026
First Seen
Valid until: 1/31/2027
Sources
Related Entities
Related Claims
UnverifiedDensity functional theory (DFT)-based oxidation stability calculations depend on the exchange-correlation functional and computational settings, and carry known errors.77% similarUnverifiedGaussian splatting DFT uses the Gaussian product theorem to retain only pair products whose spatial overlap is non-negligible, constructing a sparse auxiliary basis set and adaptively updating it every K steps, reducing memory scaling from cubic to quadratic.76% similarUnverifiedIn traditional DFT, the electron-electron repulsion term involves four-center integrals, and naive computation grows as the fourth power of the number of basis functions, while using the density fitting approximation only reduces it to the third power.73% similarUnverifiedThe optimization problem of weighted MMD is non-convex, and when the number of particles is insufficient, gradient flow easily falls into spurious local minima.70% similarUnverifiedTests show that at the same number of basis functions, Gaussian splatting DFT is slightly less accurate than traditional methods, but as the number of basis functions increases its accuracy improves with a steeper slope and can ultimately surpass fixed basis sets.69% similar
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