Author

Yaoran Yang

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Preprint Aug 2026

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci

Let $\cX\subseteq\Pj^n_{\Z}$ be a fixed integral quasiprojective subscheme, smooth over $\Z$ of relative dimension $r$. For each fixed $m\ge1$, we bound the probability that the $m$th principal-parts jet of the restriction of a uniform degree-$d$ form to $\cX_p$ has a positive-dimensional zero scheme. The bound is $C(d...

Yu-Tong Zhang, Yao-Ran Yang · 0 citations

2026

A KL Certificate for Best-of-$N$ Reranking in Language-Model Inference

Best-of-$N$ reranking draws independent candidates from a reference policy and selects the response maximal under a fixed, sample-independent strict total order on outcomes. The selected law may differ substantially from the reference in Kullback–Leibler divergence. Prior work introduced a bounded statistic depending o...

Yu-Tong Zhang, Yao-Ran Yang · IEEE Signal Processing Lette... · 0 citations