Optimal Polynomial Tractability Exponents for the Inverse Star Discrepancy

2026-10-16来源 arXiv cs.NAEnglish
arXiv:2607.23571v3 Announce Type: replace Abstract: The inverse of the star discrepancy $n^\ast(d, \varepsilon)$ satisfies \[ d \varepsilon^{-1} \lesssim n^{\ast}(d,\varepsilon)\lesssim d\varepsilon^{-2} \] for all $d \in \mathbb{N}$ and $0 0$ and $\varepsilon_{\alpha,A}>0$ such that, for every $0

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