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新算法解决带优先约束的决策树和集合覆盖问题

作者 PulseAugur 编辑部 · [1 个来源] ·

研究人员开发了针对涉及优先约束的优化问题的新近似算法，特别关注最优决策树和集合覆盖问题。这项工作引入了算法约简，允许一个问题的近似算法用于另一个问题。一项关键贡献是最大密度优先闭合子族问题，它捕捉了主要问题的组合本质。该研究提供了具有 $\mathcal{O}^*(\sqrt{m})$-近似保证的多项式时间算法，并建立了硬度结果，表明这些问题的 $\mathcal{O}(m^{1/12-\epsilon})$-不可近似性。 AI

影响 在与机器学习模型设计相关的算法优化方面引入了理论进展。

排序理由 详细介绍优化问题新算法和理论结果的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]

在 arXiv cs.LG 阅读 →

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

新算法解决带优先约束的决策树和集合覆盖问题

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详细介绍优化问题新算法和理论结果的学术论文。[lever_c_demoted from research: ic=1 ai=0.7]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Micha{\l} Szyfelbein, Dariusz Dereniowski ·

    带先例约束的决策树与覆盖

    arXiv:2602.21312v4 Announce Type: replace-cross Abstract: This work considers a number of optimization problems and reductive relations between them. The two main problems we are interested in are the Optimal Decision Tree and Set Cover. We study these two fundamental tasks under…

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