English(EN) Representation Redundancy and Structural Complexity in Finite-Field Inversion

新研究探讨有限域求逆中的表示冗余

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-07 04:00

研究人员探讨了有限域上求逆的不同数学表示如何影响其代数结构和学习难度。他们证明了特定的有序基对应于不同的求逆映射，并与伽罗瓦轨道直接相关。该研究分析了三种布尔公式，详细说明了它们的代数次数和复杂性，并发现虽然表示之间存在精确冗余，但它对学习的泛化益处有限。 AI

排序理由学术论文在arXiv上发表，详细介绍数学研究。[lever_c_demoted from research: ic=1 ai=0.7]

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arXiv cs.LG TIER_1 English(EN) · Zheng Zhang, Na Zhang · 2026-09-07 04:00

有限域求逆中的表示冗余与结构复杂性

arXiv:2609.04583v1 Announce Type: new Abstract: The representation chosen for a mathematical operation can affect both its algebraic form and its empirical learning difficulty. We study this phenomenon for inversion over \(\mathbb F_{2^n}\), with field elements expressed in varyi…