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arXiv · 2311.05064

Exact and Efficient Representation of Totally Anti-Symmetric Functions

Ziang Chen·Jianfeng Lu
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Abstract

This paper concerns the long-standing question of representing (totally) anti-symmetric functions in high dimensions. We propose a new ansatz based on the composition of an odd function with a fixed set of anti-symmetric basis functions. We prove that this ansatz can exactly represent every anti-symmetric and continuous function and the number of basis functions has efficient scaling with respect to dimension (number of particles). The singular locus of the anti-symmetric basis functions is precisely identified.

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Ziang Chen, Jianfeng Lu. 2023-11-09. Exact and Efficient Representation of Totally Anti-Symmetric Functions. https://arxiv.org/abs/2311.05064

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