AI辅助研究加强了零错误香农容量构造

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-01 04:00

研究人员在奇数环的零错误香农容量研究方面取得了进展，这是信息论中的一个问题。在先前AI辅助工作的基础上，他们开发了一种改进的递归构造方法。这种新方法考虑了中间构造的辅助结构，从而为七环图带来了改进的下界。 AI

影响这项研究推进了信息论的理论理解，可能影响未来依赖于高效数据传输和处理的AI发展。

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arXiv cs.LG TIER_1 English(EN) · Ravi Tandon · 2026-09-01 04:00

加强递归构造以实现零错误香农容量

arXiv:2608.30273v1 Announce Type: cross Abstract: The exact Shannon capacity is unknown for every odd cycle beyond the five-cycle $C_5$, making odd cycles a central open problem in zero-error information theory. Improving the known lower bounds requires constructing large indepen…