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English(EN) The Price of List Replicability: Tight Bounds for Bias Estimation

列表可复制算法的偏差估计界限收紧

研究人员为列表可复制算法中的偏差估计建立了紧界,确定了此类方法的最佳样本复杂度。该研究提出了一种改进的算法,该算法在对数因子内匹配了推导出的下界。对于列表大小为 $d+1$,最佳样本复杂度为 $\widetilde{\Theta}\left(\frac{d^2}{\varepsilon^2}\right)$,对于通用列表大小 $k$,则为 $\widetilde{\Theta}\left(\frac{d^2}{\varepsilon^2\log k}\right)$。 AI

影响 为算法中的偏差估计设定了理论极限,可能影响未来的算法设计和分析。

排序理由 该集群包含一篇详细介绍算法和复杂性理论研究的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 Hugging Face Daily Papers 阅读 →

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

列表可复制算法的偏差估计界限收紧

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该集群包含一篇详细介绍算法和复杂性理论研究的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    列表可复现性的代价:偏差估计的严格界限

    We study the sample complexity of list replicable algorithms for estimating the biases of $d$ coins. An algorithm is $(k,\varepsilon,δ)$-list replicable if for every bias vector $\mathbf{p}\in[0,1]^d$, there is a set of outputs $L_{\mathbf{p}}\subseteq \mathbb{R}^d$ of at most $k…