arXiv AI By Rui Zhu, Minglong Cao, Chenyu Zhou, Jianghao Lin, Dongdong Ge

Beyond Verified Answers: Solver-Informed Self-Distillation for Bootstrapping Operations Research Language Models

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The paper introduces SOLID, a framework that enables operations research language models to self-improve without relying on verified answers or external evaluators. SOLID uses solver-generated artifacts from the model’s own rollouts to create pseudo-references, clustering objectives and applying group-relative advantages for dense self-supervision. Experiments on multiple OR benchmarks show that SOLID enhances solution accuracy for both general-purpose and OR-tuned models compared to outcome-only training.

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