Web: http://arxiv.org/abs/2205.13205

June 17, 2022, 1:11 a.m. | Tianyu Pang, Shuicheng Yan, Min Lin

cs.LG updates on arXiv.org arxiv.org

Fermionic neural network (FermiNet) is a recently proposed wavefunction
Ansatz, which is used in variational Monte Carlo (VMC) methods to solve the
many-electron Schr\"{o}dinger equation. FermiNet proposes
permutation-equivariant architectures, on which a Slater determinant is applied
to induce antisymmetry. FermiNet is proved to have universal approximation
capability with a single determinant, namely, it suffices to represent any
antisymmetric function given sufficient parameters. However, the asymptotic
computational bottleneck comes from the Slater determinant, which scales with
$O(N^3)$ for $N$ electrons. In …

arxiv lg networks neural neural networks

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