Motivated by applications in simulating quantum many-body systems, we propose a new universal ansatz construction framework, along with a new universal ansatz, for approximating antisymmetric functions, while taking a different approach to any proposed ansatz. Each of these approaches possesses advantages over previous alternative ansatzs; the first approach utilizes a bi-Lipschitz embedding with respect to a naturally defined metric, followed by a highly modular framework for constructing an anti-symmetrizing projection, which could further generalizes the bi-Lipschitz ansatz we construct priorly. As a result, we can obtain quantitative approximations for Lipschitz continuous antisymmetric functions. Moreover, we provide preliminary experimental evidence of the improved performance of these ansatzes for learning antisymmetric functions.   Advisor: Dr. Nadav Dym