Author

Yin-Yu Ye

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Preprint Sep 2026

A Curved-Path Refinement of the Kalai--Kleitman Diameter Bound

Let $\Delta_u(d,n)$ be the maximum graph diameter of a pointed $d$-dimensional polyhedron with $n$ facets. Using a curved-path encoding of the iterated Kalai--Kleitman recurrence, we prove, uniformly over $n\geq d\geq 4$, \[ \Delta_u(d,n) \leq (n-d)^{\log_2 G_d},\qquad G_d = (4\ln 2+o(1))\frac{d}{(\ln d)^2}, \] where t...

Tianhao Liu, Dong-Dong Ge, Yin-Yu Ye · 0 citations

#machine learning Preprint Sep 2026

LLMs as Adaptive Meta-Solvers: Strategy-Diverse RL for Industrial-Scale Optimization

Scaling LLM-based optimization from textbook-scale instances to real-world, industrial tasks remains a critical open challenge. Existing approaches are predominantly evaluated on small, self-contained textual problems and often commit to a solver-integrated paradigm, limiting their ability to handle the scale and struc...

Shi-Hao Zhang, Wei-Ting Liu, Si-Yu Shao et al. · 0 citations

Preprint Aug 2026

GPU-Accelerated Conic Quadratic Programming with Local Linear Convergence under Strict Complementarity

PDHCG-CQP achieves state-of-the-art robustness among first-order solvers while scaling efficiently to 8 GPUs and instances with up to $4.4\times10^8$ stored primal coordinates.

Hongpei Li, Yicheng Huang, Hui-Kang Liu et al. · 3 citations