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Paper · arXiv

Understanding Enrichment in Reinforcement Learning

When rewards are sparse, reinforcement learning with verifiable rewards (RLVR) often uses hints or intermediate guidance to generate more successful rollouts. This enrichment biases policy-gradient updates unless corrected via importance weights, but existing methods omit correction or truncate importance weights in order to avoid the high variance of correction. It thus remains unclear what exactly is gained or lost in RLVR by correcting enriched rollouts. We show, mathematically, that omitted or truncated correction implicitly reweights the defined reward, and we decompose the resulting gradient error into scale, rotation, and variance to explain their distinct effects on learning. To m...

AuthorsJinwoo Kim, Shraddha Barke
Primary categorycs.LG
Published2 October 2026
Last updated at source2 October 2026
cs.LG
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