Research map / Large language models / Reasoning and chain of thought
A Simple "Motivation" Can Enhance Reinforcement Finetuning of Large Reasoning Models
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Proposes MeRF, which injects the natural-language reward specification into the RL training prompt so the model is aware of the optimization objective, improving GRPO-based RLVR on K&K puzzles, math, and CountDown.
Problem
RLVR is sample-inefficient and trial-and-error: the model learns reward patterns only from sparse, fragmented scalar rewards and is blind to the overall reward function during generation.
Approach
Inject the natural-language description of the verifiable reward function (the "rules of the game") into the training prompt as an in-context motivation, so generation is aligned with the optimization objective, while the reward signal remains unchanged.
Key results
- On K&K puzzles, Qwen2.5-7B-Instruct reaches 0.63 average accuracy with MeRF versus 0.51 with RLVR (both evaluated without motivation).
- On math benchmarks with Qwen2.5-7B-Base, MeRF improves average pass@1 by 3.40 points (36.78 vs 33.38) and pass@8 by 4.50 points (54.95 vs 50.45) over RLVR.
- MeRF reaches better pass@4 and pass@8 at step 140 than the final RLVR model at step 280 on K&K puzzles.
Surprising findings
- Adverse (misleading) motivation initially hurts performance, but the model adapts over RL training and learns to discount or reinterpret the misleading motivation.
- Higher sampling temperature increases entropy comparably to MeRF but does not improve performance.
Limitations
- The motivation is static throughout training; dynamic motivation is not explored.
- Gains are limited for models with weak generalization capability, where RLVR itself is hard to make efficient.
- Training and validation prompts differ (motivation present only in training), a gap the authors found to be negligible but which is a design constraint.
Experimental setup
Datasets: K&K logic puzzles DAPO-Math-17K CountDown
Benchmarks: K&K logic puzzles (2-8 people) AIME24 AIME25 AMC23 MATH500 CountDown Natural Questions (search agent)
Metrics: accuracy pass@1 pass@2 pass@4 pass@8 entropy
Baselines: RLVR (GRPO without motivation) o3-mini-high o1-2024-12-17 DeepSeek-R1 GPT-4o GPT-4o-mini
Builds on: GRPO RLVR DeepSeek-R1 Logic-RL
Closest papers by meaning
- Reinforcement Learning with Verifiable Rewards Implicitly Incentivizes Correct Reasoning in Base LLMs (ICLR 2026 · similarity 0.92)
- Outcome Rewards Do Not Guarantee Verifiable or Causally Important Reasoning (ICML 2026 · similarity 0.91)
- From Verifiable Dot to Reward Chain: Harnessing Verifiable Reference-based Rewards for Reinforcement Learning of Open-ended Generation (ICLR 2026 · similarity 0.91)
- The Reasoning Boundary Paradox: How Reinforcement Learning Constrains Language Models (NeurIPS 2026 · similarity 0.91)
- Learning to Reason without External Rewards (ICLR 2026 · similarity 0.91)
- RM-R1: Reward Modeling as Reasoning (ICLR 2026 · similarity 0.91)
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