arxivcs.LGcs.DSmath.OCquant-ph2026-06-25
Finding Stationary Points by Comparisons
Helin Wang, Chenyi Zhang, Xiwen Tao, Yexin Zhang, Tongyang Li
We study the problem of finding stationary points of non-convex functions when access to the objective is provided only through a comparison oracle that, given two points, outputs which has the larger function value. For a twice differentiable $f\colon\mathbb R^n\to\mathbb R$ wit…