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Youheng Zhu

2 papers indexed

arxivmath.STmath.PRstat.ML2026-07-10

High-Dimensional Interpolators Can Be Fragile: Heavy Tails and High-Dimensional Large Deviations

Youheng Zhu, Yiping Lu

High-dimensional interpolation is common in modern machine learning, but its tail risk is less understood than its expected prediction risk. Existing theory shows that interpolating models can perform well in expectation, yet such guarantees do not determine the probability of ra…

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arxivmath.PRcs.AIcs.NImath.ST2026-07-03

An AI-Assisted Solution to the Signed BAR Conjecture: Uniqueness in the Harrison--Reiman Class and a Completely-$\mathcal{S}$ Class Obstruction

Yiping Lu, Youheng Zhu

For a multidimensional reflected diffusion, determining whether the associated basic adjoint relationship (BAR) uniquely characterizes the stationary distribution is a basic uniqueness problem in the BAR approach. The problem has remained unresolved for more than 35 years since t…

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