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]
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- Bias estimation apparatus and method and failure diagnosis apparatus and method
- \Delta
- DL-proline
- Epsilon
- Hugging Face
- list replicability
- List Replicable Algorithms
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