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2026 1

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Smoothed Score Queries and the Complexity of Sampling

cs.DS · 2026-05-26 · unverdicted · novelty 8.0

Smoothed-score queries to the resolvent of a Gaussian precision matrix yield an O((log κ) log(1/δ)) query sampler for TV error δ and an Ω(log κ) bit lower bound, improving the condition-number dependence from √κ.

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  • Smoothed Score Queries and the Complexity of Sampling cs.DS · 2026-05-26 · unverdicted · none · ref 9

    Smoothed-score queries to the resolvent of a Gaussian precision matrix yield an O((log κ) log(1/δ)) query sampler for TV error δ and an Ω(log κ) bit lower bound, improving the condition-number dependence from √κ.