Bi-Lipschitz Ansatz for Anti-Symmetric Functions

• URL: http://arxiv.org/abs/2503.04263v1
• Date: Thu, 06 Mar 2025 09:47:41 GMT
• Title: Bi-Lipschitz Ansatz for Anti-Symmetric Functions
• Authors: Nadav Dym, Jianfeng Lu, Matan Mizrachi,
• Abstract summary: We propose a new universal ansatz for approximating anti-symmetric functions.<n>The main advantage of this ansatz is that it is bi-Lipschitz with respect to a naturally defined metric.
• Score: 7.708537894116012
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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