English(EN) Arithmetic Circuits and Neural Networks for Regular Matroids

开发了用于 Regular Matroids 的新型算术电路和神经网络

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-16 04:00

研究人员开发了能够计算 Regular Matroids 的基生成多项式的算术电路和神经网络。这些电路的大小复杂度为 O(n^3)，可应用于加权基最大化问题。这一进展为线性规划理论提供了一种新方法，比先前已知的 Regular Matroids 的扩展公式提供了更有效的方法。 AI

影响为复杂的组合问题引入了新颖的神经网络架构，可能影响优化和理论计算机科学。

排序理由学术论文在 arXiv 上发表，详细介绍了组合学和线性规划方面的新理论成果。[lever_c_demoted from research: ic=1 ai=1.0]

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arXiv cs.LG TIER_1 English(EN) · Christoph Hertrich, Stefan Kober, Georg Loho · 2026-10-16 04:00

算术电路与神经网络在正则拟阵中的应用

arXiv:2511.02406v2 Announce Type: replace-cross Abstract: We prove that there exist uniform $(+,\times,/)$-circuits of size $O(n^3)$ to compute the basis generating polynomial of regular matroids on $n$ elements. By tropicalization, this implies that there exist uniform $(\max,+,…