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English(EN) New Snake-in-the-Box Records via Snakepit Surgery and Learned Construction

新算法为蛇形盒问题创下新纪录

研究人员为蛇形盒问题创下了新纪录,在 n=9 的维度中找到了长度为 191 的蛇。这一发现改进了之前保持了 14 年的 190 长度的记录,并为 10-13 的维度设定了新的下限。这项突破是通过引入“蛇坑”来扩大搜索空间,以及一种名为 Beam Anchor 的新算法来实现的,该算法利用搜索监督的学习构造来找到长度为 190 的蛇的多种变体。 AI

影响 引入了可能影响组合优化和图论未来研究的新算法和基准。

排序理由 该集群描述了一篇详细介绍数学发现和算法改进的新学术论文。[lever_c_demoted from research: ic=1 ai=0.4]

在 arXiv cs.AI 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

新算法为蛇形盒问题创下新纪录

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Tool
该集群描述了一篇详细介绍数学发现和算法改进的新学术论文。[lever_c_demoted from research: ic=1 ai=0.4]
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paper, other
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报道来源 [1]

  1. arXiv cs.AI TIER_1 English(EN) · Paul Orland, Lucas Fagan, Michele Tarquini, Davide Passaro, Maksymilian Manko, Elli Heyes, Angus Gruen, Giorgi Butbaia, Justin Tan, Sergei Gukov ·

    通过蛇坑手术和学习式构建获得的新型蛇盒记录

    arXiv:2607.15270v3 Announce Type: cross Abstract: The snake-in-the-box problem asks for a longest induced path in the hypercube graph $Q_n$. We find a length-191 snake in dimension $n=9$, the lowest dimension where the maximum is unknown, improving the previous record of 190 that…