Ze-An Ng

activity

20242026

collaborators

6 papers

math.CA2026

A universal support theorem for 1-Wasserstein optimal transport

Ze-An Ng

We show that every optimal transport plan for the $1$ -Wasserstein distance in $R^{n}$ is supported on a closed $n + 1$ rectifiable set. In particular, the support of any optima…

cs.CL2026

Soohak: A Mathematician-Curated Benchmark for Evaluating Research-level Math Capabilities of LLMs

Guijin Son, Seungone Kim, Catherine Arnett +73

Following the recent achievement of gold-medal performance on the IMO by frontier LLMs, the community is searching for the next meaningful and challenging target for measuring LLM…

math.PR2025

Extreme value theory for geometric Brownian motion and pricing of short maturity options

Ze-An Ng

We investigate the limiting distribution of geometric Brownian motion conditional on its running maximum taking large values. The Freidlin-Wentzell large deviations theory predicts…

math.CA2025

On equality of the $L^{\infty}$ norm of the gradient under the Hausdorff and Lebesgue measure

Ze-An Ng

Let $Ω$ be an open subset of $R^{n}$ , and let $f : Ω \to R$ be differentiable $H^{k}$ -almost everywhere, for some nonnegative integer $k < n$ , where $\mathcal H^…

cs.LG2025

Humanity's Last Exam

Long Phan, Alice Gatti, Ziwen Han +1144

Benchmarks are important tools for tracking the rapid advancements in large language model (LLM) capabilities. However, benchmarks are not keeping pace in difficulty: LLMs now achi…

math.DG2024

Lipschitz maps with prescribed local Lipschitz constants

Aidan Backus, Ng Ze-An

Let $Γ$ be a closed subset of a complete Riemannian manifold $M$ of dimension $\geq 2$ , let $f : M \to N$ be a Lipschitz map to a complete Riemannian manifold $N$ , and let $ψ$ be a…

A universal support theorem for 1-Wasserstein optimal transport

Soohak: A Mathematician-Curated Benchmark for Evaluating Research-level Math Capabilities of LLMs

Extreme value theory for geometric Brownian motion and pricing of short maturity options

On equality of the L∞ norm of the gradient under the Hausdorff and Lebesgue measure

Humanity's Last Exam

Lipschitz maps with prescribed local Lipschitz constants

On equality of the $L^{\infty}$ norm of the gradient under the Hausdorff and Lebesgue measure