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Optimizing Test-Time Compute via Meta Reinforcement Finetuning
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Proposes Meta Reinforcement Fine-Tuning (MRT), which frames test-time compute use as meta-RL, minimizes cumulative regret via a dense progress reward bonus added to outcome-reward RL or STaR, and improves math reasoning accuracy and token efficiency.
Problem
Outcome-reward RL with 0/1 rewards trains LLMs to produce long reasoning traces, but it is unclear whether these models use test-time compute efficiently and keep making progress as the token budget grows.
Approach
Segment the output stream into episodes, treat test-time generation as an in-context RL adaptation procedure, and minimize cumulative regret by adding a dense reward bonus equal to the progress (change in the likelihood that a meta-prover policy reaches the correct answer) of each episode.
Key results
- MRT on DeepScaleR-1.5B-Preview reaches 55.9 average pass@1 vs 55.0 for GRPO and 54.5 base, with AIME 2024 47.2 vs 44.5 GRPO.
- MRT (RL) needs about 5x fewer tokens than the base R1-Distill-Qwen-1.5B to match its AIME 2024 performance and improves over GRPO by 1.2-1.6x in token efficiency.
- On backtracking search with Llama, MRT achieves 1.6-1.7x token efficiency over STaR and GRPO in linearized evaluation.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add progress reward bonus to outcome-reward RL | DeepScaleR-1.5B-Preview · AIME 2024 | Pass@1: 44.5 -> 47.2 | Helped |
| add progress reward bonus to outcome-reward RL | DeepScaleR-1.5B-Preview · AIME 2025 | Pass@1: 39.3 -> 39.7 | Helped |
| add progress reward bonus to outcome-reward RL | DeepScaleR-1.5B-Preview · AMC 2023 | Pass@1: 81.5 -> 83.1 | Helped |
| add progress reward bonus to outcome-reward RL | DeepScaleR-1.5B-Preview · MinervaMATH | Pass@1: 24.7 -> 24.2 | Hurt |
| add progress reward bonus to outcome-reward RL | DeepScaleR-1.5B-Preview · MATH500 | Pass@1: 84.9 -> 85.1 | Helped |
| add progress reward bonus to outcome-reward RL | R1-Distill-Qwen-1.5B · AIME 2024 | Pass@1: 29.8 -> 30.3 | Helped |
| add progress reward bonus to outcome-reward RL | R1-Distill-Qwen-1.5B · AIME 2025 | Pass@1: 27.3 -> 29.3 | Helped |
| add progress reward bonus to outcome-reward RL | R1-Distill-Qwen-1.5B · AMC 2023 | Pass@1: 70.5 -> 72.9 | Helped |
| add progress reward bonus to outcome-reward RL | R1-Distill-Qwen-1.5B · MinervaMATH | Pass@1: 22.1 -> 22.5 | Helped |
| add progress reward bonus to outcome-reward RL | R1-Distill-Qwen-1.5B · MATH500 | Pass@1: 80.3 -> 80.4 | Helped |
| add explicit length penalty (ablation) | DeepScaleR-1.5B-Preview · Avg. | Pass@1: 55.0 -> 50.8 | Hurt |
| add progress reward bonus | MRT (RL) · AIME 2024 | accuracy at same token budget: 5% | Helped |
Surprising findings
- Current outcome-reward-trained R1-distilled models often do not improve accuracy with more episodes, and sometimes degrade, on problems requiring many episodes.
- Majority voting over fewer episodes can outperform long sequential chains of thought on harder problems.
Limitations
- Choice of meta-prover mu is heuristic (best-guess answer forced after thinking) and may not be optimal.
- Base models restricted to a narrow set of strategies, limiting gains.
- Dense reward computed at end of trace rather than via branched rollouts, increasing gradient variance; higher train-time compute required.
Experimental setup
Datasets: NuminaMath AIME 1989-2023 Omni-MATH MATH
Benchmarks: AIME 2024 AIME 2025 AMC 2023 MinervaMATH MATH500
Metrics: pass@1 maj@K accuracy vs tokens token efficiency normalized cumulative regret
Baselines: outcome-reward RL (GRPO) STaR length penalty RISE base model
Builds on: GRPO STaR RISE budget forcing
Closest papers by meaning
- Scaling Test-Time Compute Without Verification or RL is Suboptimal (ICML 2025 · similarity 0.91)
- TTRL: Test-Time Reinforcement Learning (NeurIPS 2025 · similarity 0.91)
- On the Limits of Test-Time Compute: Sequential Reward Filtering for Better Inference (ICML 2026 · similarity 0.90)
- Compute Aligned Training: Optimizing for Test Time Inference (NeurIPS 2026 · similarity 0.90)
- e3: Learning to Explore Enables Extrapolation of Test-Time Compute for LLMs (ICLR 2026 · similarity 0.90)
- Accelerating RL for LLM Reasoning with Optimal Advantage Regression (NeurIPS 2025 · similarity 0.89)
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