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Bias Estimation Bounds Tightened for List Replicable Algorithms

Researchers have established tight bounds for bias estimation in list replicable algorithms, determining the optimal sample complexity for such methods. The study presents an improved algorithm that matches the derived lower bound up to polylogarithmic factors. For a list size of $d+1$, the optimal sample complexity is found to be $\widetilde{\Theta}\left(\frac{d^2}{\varepsilon^2}\right)$, and for a general list size $k$, it is $\widetilde{\Theta}\left(\frac{d^2}{\varepsilon^2\log k}\right)$. AI

IMPACT Establishes theoretical limits for bias estimation in algorithms, potentially impacting future algorithm design and analysis.

RANK_REASON The cluster contains an academic paper detailing theoretical research on algorithms and complexity. [lever_c_demoted from research: ic=1 ai=1.0]

Read on Hugging Face Daily Papers →

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Bias Estimation Bounds Tightened for List Replicable Algorithms

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The cluster contains an academic paper detailing theoretical research on algorithms and complexity. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

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

    The Price of List Replicability: Tight Bounds for Bias Estimation

    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…