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Learning to Solve Travelling Salesman Problem with Hardness-Adaptive Curriculum

AAAI 2022 · Learning theory and algorithms › Combinatorial and search optimization · approach: Unsupervised neural combinatorial optimization · 34 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a Gaussian-mixture test distribution with larger c_DISTUniform-trained GAT · TSP-50, Gaussian mixtureOptimality Gap (%): 3.5± 0.2 -> 20.0± 1.6Hurt
Use hardness-adaptive generation instead of uniform samplingUniform-pre-trained GAT · TSP-50, generated instancesOptimality Gap (%): 1.70± 0.05 -> 12.36± 1.21Helped
Increase generator step size η (ablation)Hardness-adaptive Generator · TSP-50, generated instancesOptimality Gap (%): 0.7± 0.1 -> 1.5± 0.2 -> 2.9± 0.4 -> 12.4± 1.2 -> 14.7± 1.4Helped
Train with hardness-adaptive samples rather than uniform samplesTSP solver · TSP-50, Gaussian mixture test distributionOptimality Gap (%)Helped
Add curriculum reweighting based on instance hardness (ablation)TSP solver trained with hardness-adaptive data · TSP-50, Gaussian mixture test distributionOptimality Gap (%)Helped

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