Bi-Lipschitz Ansatz for Anti-Symmetric Functions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915184140877824 |
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| author | Dym, Nadav Lu, Jianfeng Mizrachi, Matan |
| author_facet | Dym, Nadav Lu, Jianfeng Mizrachi, Matan |
| contents | Motivated by applications for simulating quantum many body functions, we propose a new universal ansatz for approximating anti-symmetric functions. The main advantage of this ansatz over previous alternatives is that it is bi-Lipschitz with respect to a naturally defined metric. As a result, we are able to obtain quantitative approximation results for approximation of Lipschitz continuous antisymmetric functions. Moreover, we provide preliminary experimental evidence to the improved performance of this ansatz for learning antisymmetric functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04263 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bi-Lipschitz Ansatz for Anti-Symmetric Functions Dym, Nadav Lu, Jianfeng Mizrachi, Matan Machine Learning Classical Analysis and ODEs Quantum Physics 41A63, 41A29, 68T07, 81Q05 G.1.2; I.5.1; G.1.10; I.5.4 Motivated by applications for simulating quantum many body functions, we propose a new universal ansatz for approximating anti-symmetric functions. The main advantage of this ansatz over previous alternatives is that it is bi-Lipschitz with respect to a naturally defined metric. As a result, we are able to obtain quantitative approximation results for approximation of Lipschitz continuous antisymmetric functions. Moreover, we provide preliminary experimental evidence to the improved performance of this ansatz for learning antisymmetric functions. |
| title | Bi-Lipschitz Ansatz for Anti-Symmetric Functions |
| topic | Machine Learning Classical Analysis and ODEs Quantum Physics 41A63, 41A29, 68T07, 81Q05 G.1.2; I.5.1; G.1.10; I.5.4 |
| url | https://arxiv.org/abs/2503.04263 |