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Author

Yuchen Miao

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Preprint Aug 2026

Sharp Root Anti-Concentration via Projective Incidence and Ordered Root Laws

This paper answers the one-dimensional local root anti-concentration questions posed by Balcan, Pegden, and Sharma in the context of online optimization of piecewise-Lipschitz functions. For a homogeneous feature curve and coefficients whose density relative to the uniform law on a symmetric convex body $K$ is bounded...

Zi-Jun Wang, Yuchen Miao, Yifan Hu et al. · 0 citations
Jul 2026

Universal Refinement without Interaction: Order-Optimal 1-Bit Mean Estimation

A fully non-adaptive public-coin protocol that fixes every measurable 1-bit query before communication is constructed, and rates answer the Lau--Scarlett open problem for arbitrary measurable 1-bit queries in the affirmative.

Yuchen Miao · 3 citations

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