Research map / Large language models / Reasoning and chain of thought
Curriculum Reinforcement Learning from Easy to Hard Tasks Improves LLM Reasoning
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Proposes E2H Reasoner, a curriculum GRPO method that schedules RL post-training tasks from trivial to hard with probabilistic cosine and Gaussian schedulers, with approximate policy iteration convergence and sample-complexity analysis.
Problem
RLVR alone struggles on inherently difficult reasoning tasks because rewards are sparse when base models have low zero-shot accuracy; naive curricula also cause forgetting and overfitting to easy tasks.
Approach
Decompose training data into difficulty levels (trivial, easy, medium, hard) and sample them with a probabilistic schedule (E2H-C cosine, E2H-G Gaussian) that fades easy tasks out over training rather than switching stages abruptly, backed by an approximate policy iteration analysis.
Key results
- On Qwen2.5-1.5B-Instruct, E2H-G reaches 32.9% on Blocksworld Hard versus 21.1% for GRPO (All) and 7.3% OOD versus 2.6%.
- On Countdown with Qwen 1.5B, E2H-G improves Hard accuracy to 41.0% from 18.1% for GRPO (All).
- On LLaMA-3.2-3B, E2H-G gets 44.1% on Blocksworld Hard versus 38.9% for GRPO (All) and 17.6% OOD versus 13.3%.
Surprising findings
- Training only on the hardest examples (GRPO Hard) performs near zero on Blocksworld and underperforms the CoT baseline on MATH for Qwen 1.5B.
- Fixed cosine scheduling (E2H-C) overfits on Blocksworld, collapsing Med/Hard accuracy to near zero, while the Gaussian schedule does not.
Limitations
- E2H-G reports the best of three hyperparameter settings, so reported gains involve selection on the test results.
- Theoretical guarantees rely on strong assumptions (concentrability, bounded curriculum drift, linear function approximation) that do not directly match LLM RL training.
- Experiments are limited to small models (1.5B and 3B) and a handful of tasks.
Experimental setup
Datasets: Blocksworld Countdown MATH GSM8K AQuA
Benchmarks: Blocksworld Countdown MATH AIME24 OlympiadBench
Metrics: accuracy (per difficulty level and OOD split) pass@k
Baselines: GRPO DAPO CoT Self-Evolve traditional curriculum learning
Builds on: GRPO DAPO DeepSeek-R1-Zero Approximate Policy Iteration
Closest papers by meaning
- Reinforcement Learning with Verifiable Rewards Implicitly Incentivizes Correct Reasoning in Base LLMs (ICLR 2026 · similarity 0.92)
- Scheduling Your LLM Reinforcement Learning with Reasoning Trees (ICLR 2026 · similarity 0.91)
- General-Reasoner: Advancing LLM Reasoning Across All Domains (NeurIPS 2025 · similarity 0.91)
- Resource-Efficient Reinforcement for Reasoning Large Language Models via Dynamic One-Shot Policy Refinement (ICML 2026 · similarity 0.91)
- SATURN: SAT-based Reinforcement Learning to Unleash LLMs Reasoning (NeurIPS 2025 · similarity 0.90)
- $\textbf{Re}^{2}$: Unlocking LLM Reasoning via Reinforcement Learning with Re-solving (ICLR 2026 · similarity 0.90)
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