arXiv AI By Anran Liu, Benzhao Hou, Zongsheng Cao, Daichao Wang, Lang Chen, Shitong Chen

Structure-Aware Skill Retrieval and Arbitration for Optimization Modeling

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The paper introduces “ArchOR”, a skill agent that enhances “OptSkills” with two retrieval modules: Centroid-Aware Representation Learning (CARL) and Signature-Guided Retrieval (S3R). CARL refines cached skill representations using a low-rank prototype residual, while S3R attaches structural signatures to skills, prioritizes candidates via weighted Jaccard overlap, and limits semantic re-ranking to a top‑K set. Using the same DeepSeek-V4.1-Flash backbone and released skill library, “ArchOR” achieves a 65.00% Micro‑Avg. Pass@1 across five benchmarks, outperforming “OptSkills” by 1.64 pp Micro‑Avg. and 2.68 pp Macro‑Avg.

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