伪红岩群的子群结构
密码学与安全
2024-12-03 v2 计算与语言
摘要
设为一个域。我们研究伪红岩-群的子群与其最大红岩商部群之间的关系，并探讨其对子群结构的应用。设为几何单纯李根的最小定义域，设为商映射。我们首先描述了满足的光滑子群。接着我们考虑以下问题：给定的子群，是否存在的子群使得，且若光滑，我们能否找到这样一个光滑的？我们给出正答案的充分条件。在一般情况下，存在多种对子群的存在性构成障碍，我们通过几个例子予以说明。最后，我们将这些结果用于将的最大光滑子群与的子群关联起来。
引用
@article{arxiv.2406.11285,
title = {Self and Cross-Model Distillation for LLMs: Effective Methods for Refusal Pattern Alignment},
author = {Jie Li and Yi Liu and Chongyang Liu and Xiaoning Ren and Ling Shi and Weisong Sun and Yinxing Xue},
journal= {arXiv preprint arXiv:2406.11285},
year = {2024}
}
备注
The method used in the paper has obvious problems and ambiguities. The security enhancement method we used cannot be considered distillation, but it is described as distillation in the paper, and the experiment lacks comparison and baseline, which has been criticized by many peers. In order to avoid further dissemination, we have decided to withdraw the paper