Reproduce “APO2CS: Advantage-Aware Preference Optimization for Two-Level Constructive Search in Combinatorial Optimization” on OpenResearch

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About this paper

Kaixi Yang, Linbo Qiao, Wei Shang, Yanqi Shi, Dongsheng Li

APO2CS trains a constructive solver for combinatorial optimization by comparing complete solutions and short decision segments. It uses quality differences to scale preference signals at both levels. In a TSP ablation at 100 nodes, adding segment comparisons lowers the optimality gap from 0.36% to 0.10% versus whole-solution comparisons alone, supporting complementarity in this tested setting.

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