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English(EN) Contradiction Graphs Determine VC Dimension

矛盾图精确确定VC维数

研究人员引入了一种使用矛盾图来确定二元概念类VC维数的新颖方法。该方法确立了m阶矛盾图G_m(H)可以确定H的VC维数是否至少为m。这些图的完整序列(m >= 1的G_m(H))精确地确定了确切的VC维数,解决了该领域一个长期存在的问题。 AI

影响 引入了一个理解概念类的理论框架,可能影响机器学习理论和算法设计。

排序理由 学术论文,详细介绍了一种确定VC维数的新理论方法。

在 arXiv stat.ML 阅读 →

AI 生成摘要 · Google Gemini · 来自 2 个来源。 我们如何撰写摘要 →

矛盾图精确确定VC维数

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学术论文,详细介绍了一种确定VC维数的新理论方法。
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报道来源 [2]

  1. arXiv stat.ML TIER_1 English(EN) · Jesse Campbell, Daniel Ibaibarriaga, Lev Reyzin ·

    Contradiction Graphs Determine VC Dimension

    arXiv:2605.20434v1 Announce Type: new Abstract: We study the contradiction graphs associated with binary concept classes. For a class $H \subseteq \{0,1\}^X$, the order-$m$ contradiction graph $G_m(H)$ has as vertices the $H$-realizable labeled sequences of length $m$, with two v…

  2. arXiv stat.ML TIER_1 English(EN) · Lev Reyzin ·

    Contradiction Graphs Determine VC Dimension

    We study the contradiction graphs associated with binary concept classes. For a class $H \subseteq \{0,1\}^X$, the order-$m$ contradiction graph $G_m(H)$ has as vertices the $H$-realizable labeled sequences of length $m$, with two vertices adjacent when the two sequences assign o…