Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.05064 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910777286328320 |
|---|---|
| author | Chen, Ziang Lu, Jianfeng |
| author_facet | Chen, Ziang Lu, Jianfeng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05064 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact and Efficient Representation of Totally Anti-Symmetric Functions Chen, Ziang Lu, Jianfeng Classical Analysis and ODEs Computational Physics Quantum Physics 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. |
| title | Exact and Efficient Representation of Totally Anti-Symmetric Functions |
| topic | Classical Analysis and ODEs Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2311.05064 |