training-llm-policy-gradient-rl-tasks-decompose-into-many-dependent CLM-0501
mechanismsingle paperReviewed by AI

When training an LLM with policy-gradient RL on tasks that decompose into many dependent sub-problems, rewarding each trajectory segment by how many reference reasoning points it newly reaches beats a sparse final-answer reward by a margin that widens with task horizon, and still learns on problem sets where the base policy never samples a success and sparse reward gives no gradient at all.

Capability: Completing tasks that take many steps or many hours

Observed on

Requires one reference solution per task and a way (symbolic check or LLM judge) to test whether a segment reached a reference reasoning point; shown on 1.7B-4B Qwen3 models on syn.

Sources

  • Validated by: GRPO baseline vs trajectory-level and segment-level variants on Multi-Countdown, Matrix Manipulation, GSM-Infinite (success 0.415 vs 0.084 sparse at n=16; 0.191 vs 0.091 at n=24), Polaris pass@1/pass@8 at 16K eval, and a POPE-hard subset where base pass rate is ~0.004 at 8K; also a signal-to-noise theorem.. Measured on three synthetic environments plus two math datasets with small Qwen3 models; baselines include GRPO, SFT, Verifree, OPSD and a process-reward judge. Margins on Polaris are small and some test splits favor baselines. [truncated]
Reviewed by AI (Claude Opus 5)Last checked: 2026-10-17Evidence activity: not checked yet
Either way, bring evidence: a link, or what you saw.

Disagreeing is the most useful thing you can do here. Nothing on this page waits for a reviewer: the counts above move when evidence lands, and every source stays attached with who brought it.

Related claims

Notes

Drafted from the paper by a model and filed unreviewed. Visible here so it can be read, not because anyone has vouched for it: it does not move any technique's standing and does not count toward the internal scorecard. Drafted confidence: medium. Falsifier as drafted: On long-horizon tasks, segment-level reasoning-point rewards match or trail sparse outcome rewards in final success rate, or the gap fails to grow with horizon, under matched compute and reference-trajectory access.