Author

Garrett Wen

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Preprint Aug 2026

The sharp SAT/UNSAT phase transition in random ellipsoid fitting

Let $x_1,\ldots,x_n$ be independent standard Gaussian vectors in $\mathbb{R}^d$. An \emph{ellipsoid fit} is a matrix $S \succeq 0$ such that $x_i^\top S x_i =d$ for every $i$, so that all the points lie on the boundary of the centered ellipsoid $\{ x : x^\top S x = d\}$. Saunderson, Parrilo and Willsky conjectured that...

Theodor Misiakiewicz, Garrett Wen · 0 citations

#machine learning Jun 2025

Optimal Estimation of Watermark Proportions in Hybrid AI-Human Texts

This paper addresses the problem of optimally estimating the watermark proportion in mixed-source texts, and proposes efficient estimators for this class of methods, and derive minimax lower bounds for any measurable estimator based on pivotal statistics, showing that their estimators achieve these lower bounds.

Xiang Li, Garrett Wen, Weiqing He et al. · arXiv.org · 5 citations · ⚡1

Preprint Jul 2026

Dynamical mean-field limit and replica-symmetric free energy for the orthogonally-invariant SK model

We study a class of diffusion processes on $\mathbb{R}^n$ interacting through a symmetric matrix $X\in\mathbb{R}^{n\times n}$. When eigenvectors of $X$ are Haar-uniform on the orthogonal group, we derive a dynamical mean-field limit for the empirical law of sample paths, extending the classical Sompolinsky--Zippelius c...

Zhou Fan, Theodor Misiakiewicz, Leda Wang et al. · 0 citations