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MemReward: Graph-Based Experience Memory for LLM Reward Prediction with Limited Labels
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Proposes MemReward, a heterogeneous graph-based experience memory with a warmup-trained GNN that propagates rewards from 20% labeled rollouts to unlabeled rollouts during GRPO training, reaching near-Oracle performance on Qwen2.5-1.5B/3B.
Problem
RL fine-tuning of LLM reasoning needs ground-truth reward labels for every rollout, which are costly in data-scarce settings such as proof grading or open-ended QA.
Approach
Store labeled rollouts (query, thinking, answer) as nodes in a heterogeneous graph with query-query similarity, query-thinking and thinking-answer edges; train a GNN to predict rewards, then attach unlabeled rollouts by query similarity at online GRPO time and use thresholded GNN predictions as rewards.
Key results
- With 20% ground-truth labels, MemReward reaches 97.3% of Oracle average on Qwen2.5-3B (77.02 vs 79.12) and 96.6% on Qwen2.5-1.5B.
- On out-of-domain tasks, MemReward trails R1-Oracle by only 0.23 on 3B and 0.75 on 1.5B average.
- At 70% GT labels on 3B, MemReward reaches 99.4% of Oracle (78.64 vs 79.12).
Surprising findings
- MemReward on Qwen2.5-1.5B exceeds R1-Oracle on NuminaMath by 0.89 points despite using only 20% labels.
- The frozen GNN's prediction accuracy stays stable (74.9%-77.3%) across 410 GRPO steps.
Limitations
- Evaluated only on Qwen2.5 models at 1.5B and 3B scales.
- Graph construction depends on a fixed sentence encoder for query similarity.
- Code-domain GNN prediction quality is lower (ROC-AUC 0.72-0.83).
Experimental setup
Datasets: GSM8K GSM-Symbolic MATH MMLU CommonsenseQA OpenBookQA ARC-Challenge GPQA HumanEval+ MBPP+ NuminaMath SIQA
Benchmarks: GSM8K GSM-Symbolic MATH MMLU CommonsenseQA OpenBookQA ARC-Challenge GPQA HumanEval+ MBPP+ NuminaMath SIQA
Metrics: exact match accuracy pass@1 ROC-AUC
Baselines: R1-p (partial labels) R1-Oracle kNN reward prediction LLM-RM
Builds on: GRPO GATv2 HAN R-GCN
Closest papers by meaning
- TTRL: Test-Time Reinforcement Learning (NeurIPS 2025 · similarity 0.90)
- Co-rewarding: Stable Self-supervised RL for Eliciting Reasoning in Large Language Models (ICLR 2026 · similarity 0.89)
- $\textbf{Re}^{2}$: Unlocking LLM Reasoning via Reinforcement Learning with Re-solving (ICLR 2026 · similarity 0.89)
- Boosting LLM Reasoning via Human-Inspired Reward Shaping (NeurIPS 2026 · similarity 0.88)
- Act Only When It Pays: Efficient Reinforcement Learning for LLM Reasoning via Selective Rollouts (NeurIPS 2025 · similarity 0.88)
- LongRLVR: Long-Context Reinforcement Learning Requires Verifiable Context Rewards (ICLR 2026 · similarity 0.88)
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